Details

Time bar (total: 24.3s)

sample67.0ms

Algorithm
intervals
Results
42.0ms514×body80valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5001
9901
8326
7116
660
549
441
339
227
115
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(cosh (+ x 1.0))
1.0b
(- (cosh (+ x 1.0)) (cos x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
pow1 cosh-sum add-cbrt-cube add-exp-log add-cube-cbrt
cosh-def sub-neg flip3-- diff-log associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 24
Calls
2 calls:
10.0ms
(cosh (+ x 1.0))
23.0ms
(- (cosh (+ x 1.0)) (cos x))

series360.0ms

Counts
2 → 6
Calls
2 calls:
160.0ms
(cosh (+ x 1.0))
200.0ms
(- (cosh (+ x 1.0)) (cos x))

simplify2.8s

Counts
30 → 30
Iterations
IterNodes
done5001
32431
2576
1195
083

prune247.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (- (cosh (+ x 1.0)) (cos x))) (cbrt (- (cosh (+ x 1.0)) (cos x))))
1.0b
(cbrt (- (cosh (+ x 1.0)) (cos x)))
1.0b
(cbrt (- (cosh (+ x 1.0)) (cos x)))
1.0b
(cbrt (- (cosh (+ x 1.0)) (cos x)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
flip3-- pow1/3 flip-- distribute-lft-out--
associate-*r* associate-*l*
difference-of-squares
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
99.0ms
(* (cbrt (- (cosh (+ x 1.0)) (cos x))) (cbrt (- (cosh (+ x 1.0)) (cos x))))
11.0ms
(cbrt (- (cosh (+ x 1.0)) (cos x)))
11.0ms
(cbrt (- (cosh (+ x 1.0)) (cos x)))
11.0ms
(cbrt (- (cosh (+ x 1.0)) (cos x)))

series8.1s

Counts
4 → 12
Calls
4 calls:
3.9s
(* (cbrt (- (cosh (+ x 1.0)) (cos x))) (cbrt (- (cosh (+ x 1.0)) (cos x))))
1.4s
(cbrt (- (cosh (+ x 1.0)) (cos x)))
1.4s
(cbrt (- (cosh (+ x 1.0)) (cos x)))
1.4s
(cbrt (- (cosh (+ x 1.0)) (cos x)))

simplify5.1s

Counts
113 → 113
Iterations
IterNodes
done5001
23223
1665
0234

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.2s15964×body80valid