Details

Time bar (total: 2.7s)

sample19.0ms

Algorithm
intervals
Results
10.0ms499×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1254
2494
3964
42534
58214
631154
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(exp (- (- 1.0 (* x x))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
11×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity add-log-exp
6×prod-diff
5×distribute-neg-in exp-sum
4×distribute-lft-neg-in distribute-rgt-neg-in
3×fma-neg rem-exp-log difference-of-squares
2×pow1 add-exp-log expm1-log1p-u sub-neg diff-log neg-log add-cbrt-cube log1p-expm1-u
1×neg-sub0 exp-neg neg-mul-1 flip3-- exp-diff flip--
Counts
2 → 52
Calls
2 calls:
2.0ms
(- 1.0 (* x x))
11.0ms
(exp (- (- 1.0 (* x x))))

series63.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- 1.0 (* x x))
27.0ms
(exp (- (- 1.0 (* x x))))

simplify87.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0196276
1618244
22764217
35001205

prune118.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(pow E (- (- 1.0 (* x x))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt pow-unpow
9×add-cube-cbrt *-un-lft-identity
6×prod-diff
5×unpow-prod-up distribute-neg-in
4×distribute-lft-neg-in distribute-rgt-neg-in add-log-exp
3×pow1 add-exp-log unpow-prod-down fma-neg difference-of-squares
2×expm1-log1p-u sub-neg pow-exp add-cbrt-cube log1p-expm1-u
1×neg-sub0 pow-to-exp pow-neg neg-mul-1 e-exp-1 flip3-- pow-pow diff-log flip-- pow-sub sqr-pow
Counts
2 → 57
Calls
2 calls:
2.0ms
(- 1.0 (* x x))
5.0ms
(pow E (- (- 1.0 (* x x))))

series77.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- 1.0 (* x x))
37.0ms
(pow E (- (- 1.0 (* x x))))

simplify129.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
0268322
1959295
24130257
35001254

prune125.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(exp (- 1.0 (* x x)))
0.0b
(pow E (- (log (exp (- 1.0 (* x x))))))
0.0b
(log (exp (- 1.0 (* x x))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×pow-unpow
19×add-cube-cbrt *-un-lft-identity
16×log-prod exp-prod
15×exp-sum log-pow
12×prod-diff
9×add-log-exp
8×pow1 unpow-prod-up distribute-lft-neg-in distribute-neg-in distribute-rgt-neg-in
5×add-exp-log difference-of-squares
4×expm1-log1p-u sub-neg add-cbrt-cube log1p-expm1-u
3×unpow-prod-down fma-neg
2×exp-diff diff-log pow-exp rem-exp-log
1×neg-sub0 pow-to-exp pow-neg neg-mul-1 log-div e-exp-1 flip3-- pow-pow rem-log-exp flip-- pow-sub sqr-pow
Counts
4 → 113
Calls
4 calls:
2.0ms
(- 1.0 (* x x))
5.0ms
(exp (- 1.0 (* x x)))
11.0ms
(pow E (- (log (exp (- 1.0 (* x x))))))
6.0ms
(log (exp (- 1.0 (* x x))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- 1.0 (* x x))
20.0ms
(exp (- 1.0 (* x x)))
34.0ms
(pow E (- (log (exp (- 1.0 (* x x))))))
40.0ms
(log (exp (- 1.0 (* x x))))

simplify39.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0383681
11260619
25002535

prune256.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- (log1p (expm1 (- 1.0 (* x x))))))
0.0b
(- 1.0 (* x x))
0.0b
(log1p (expm1 (- 1.0 (* x x))))
1.0b
(expm1 (- 1.0 (* x x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt exp-prod
9×add-cube-cbrt *-un-lft-identity
8×add-log-exp
5×log1p-expm1-u
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube
3×distribute-lft-neg-in distribute-rgt-neg-in fma-neg prod-diff rem-exp-log
2×log1p-udef neg-log
1×neg-sub0 exp-neg neg-mul-1 sub-neg expm1-log1p flip3-- exp-diff diff-log log1p-expm1 flip-- expm1-udef difference-of-squares
Counts
4 → 67
Calls
4 calls:
3.0ms
(exp (- (log1p (expm1 (- 1.0 (* x x))))))
3.0ms
(- 1.0 (* x x))
0.0ms
(log1p (expm1 (- 1.0 (* x x))))
0.0ms
(expm1 (- 1.0 (* x x)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(exp (- (log1p (expm1 (- 1.0 (* x x))))))
43.0ms
(- 1.0 (* x x))
407.0ms
(log1p (expm1 (- 1.0 (* x x))))
30.0ms
(expm1 (- 1.0 (* x x)))

simplify78.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0215377
1661326
22566314
35001305

prune167.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1136
2136

end0.0ms

sample557.0ms

Algorithm
intervals
Results
360.0ms16171×body80valid