Details

Time bar (total: 7.8s)

sample58.0ms

Algorithm
intervals
Results
10.0ms50×body1280valid
10.0ms240×body80nan
7.0ms42×body640valid
6.0ms129×body80valid
3.0ms22×body320valid
1.0ms13×body160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2107
done107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ x 1.0))
4.1b
(- (sqrt (+ x 1.0)) (sqrt x))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity sqrt-prod
add-log-exp difference-of-squares
pow1 add-cube-cbrt distribute-lft-out--
add-cbrt-cube sqrt-div add-exp-log distribute-lft-out
rem-sqrt-square sub-neg sqrt-pow1 flip3-+ flip3-- pow1/2 diff-log flip-+ flip--
Counts
2 → 35
Calls
2 calls:
13.0ms
(sqrt (+ x 1.0))
80.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series223.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(sqrt (+ x 1.0))
152.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.1s

Counts
41 → 41
Iterations

Useful iterations: done (2.1s)

IterNodesCost
084488
1188440
2638410
32568402
done5000400

prune194.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ (sqrt (+ x 1.0)) (sqrt x))
0.1b
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
24×sqrt-prod
21×distribute-lft-out
18×times-frac
16×add-sqr-sqrt
15×add-cube-cbrt
associate-/r*
add-cbrt-cube add-exp-log add-log-exp
pow1
flip3-+ flip-+ associate-/l*
sqrt-div associate-/r/
cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
3 → 71
Calls
3 calls:
13.0ms
(sqrt (+ x 1.0))
64.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
81.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

series500.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(sqrt (+ x 1.0))
127.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
300.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify1.2s

Counts
80 → 80
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01521125
13611018
21500937
done5001927

prune355.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
199
done99

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.2s7966×body80nan
390.0ms1332×body640valid
358.0ms1682×body1280valid
241.0ms4025×body80valid
86.0ms646×body320valid
26.0ms315×body160valid