Details

Time bar (total: 43.1s)

sample777.0ms

Algorithm
intervals
Results
213.0ms131×body1280nan
198.0ms105×body640nan
135.0ms211×body80nan
48.0ms24×body1280valid
45.0ms192×body80valid
37.0ms47×body320nan
31.0ms26×body640valid
13.0ms26×body160nan
5.0msbody320valid
5.0msbody160valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2249
3589
41509
57179
done50019

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cos x))
0.1b
(pow (tan x) (sin (pow x (sqrt (cos x)))))
1.3b
(pow x (sqrt (cos x)))
14.4b
(sin (pow x (sqrt (cos x))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
pow-unpow
pow1
unpow-prod-down add-exp-log sqrt-prod
add-cbrt-cube add-log-exp
pow-to-exp pow-pow pow-exp sqr-pow
rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 57
Calls
4 calls:
3.0ms
(sqrt (cos x))
13.0ms
(pow (tan x) (sin (pow x (sqrt (cos x)))))
6.0ms
(pow x (sqrt (cos x)))
12.0ms
(sin (pow x (sqrt (cos x))))

series1.7s

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (cos x))
769.0ms
(pow (tan x) (sin (pow x (sqrt (cos x)))))
357.0ms
(pow x (sqrt (cos x)))
496.0ms
(sin (pow x (sqrt (cos x))))

simplify3.3s

Counts
69 → 69
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0196969
1562885
22620842
done5002827

prune625.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 11.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (pow (sqrt (cos x)) 3))
0.2b
(pow (sqrt (cos x)) 3)
1.3b
(pow x (cbrt (pow (sqrt (cos x)) 3)))
14.4b
(sin (pow x (cbrt (pow (sqrt (cos x)) 3))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
24×pow-unpow
21×add-sqr-sqrt unpow-prod-down *-un-lft-identity add-cube-cbrt
18×cube-prod sqrt-prod
pow1
add-exp-log
add-cbrt-cube
pow-pow add-log-exp sqr-pow
cube-mult unpow3
pow-to-exp pow-exp
sqrt-pow1 pow1/2 pow1/3 rem-cbrt-cube sqrt-pow2 rem-cube-cbrt
Counts
4 → 101
Calls
4 calls:
7.0ms
(cbrt (pow (sqrt (cos x)) 3))
8.0ms
(pow (sqrt (cos x)) 3)
19.0ms
(pow x (cbrt (pow (sqrt (cos x)) 3)))
11.0ms
(sin (pow x (cbrt (pow (sqrt (cos x)) 3))))

series970.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (pow (sqrt (cos x)) 3))
85.0ms
(pow (sqrt (cos x)) 3)
352.0ms
(pow x (cbrt (pow (sqrt (cos x)) 3)))
502.0ms
(sin (pow x (cbrt (pow (sqrt (cos x)) 3))))

simplify3.6s

Counts
113 → 113
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01681272
1488866
22493774
done5000764

prune585.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 11.7b

regimes500.0ms

Accuracy

0% (0.7b remaining)

Error of 9.8b against oracle of 9.0b and baseline of 9.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
done1012

end0.0ms

sample29.6s

Algorithm
intervals
Results
10.7s4252×body1280nan
6.4s3600×body640nan
3.4s7332×body80nan
2.2s1774×body320nan
2.0s6461×body80valid
1.8s617×body1280valid
895.0ms546×body640valid
562.0ms933×body160nan
203.0ms226×body320valid
104.0ms150×body160valid