Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
11.0ms487×body80valid

simplify62.0ms

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))))

rewrite10.0ms

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:
3.0ms
(- 1.0 (* x x))
5.0ms
(exp (- (- 1.0 (* x x))))

series66.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- 1.0 (* x x))
24.0ms
(exp (- (- 1.0 (* x x))))

simplify86.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0196276
1618244
22764217
35001205

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×exp-prod
10×add-cube-cbrt *-un-lft-identity add-log-exp
6×prod-diff
5×expm1-log1p-u distribute-neg-in exp-sum
4×pow1 add-exp-log distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube log1p-expm1-u
3×fma-neg rem-exp-log difference-of-squares
2×sub-neg diff-log neg-log
1×neg-sub0 exp-neg neg-mul-1 log1p-udef expm1-log1p flip3-- exp-diff log1p-expm1 flip-- expm1-udef
Counts
4 → 74
Calls
4 calls:
6.0ms
(- 1.0 (* x x))
5.0ms
(exp (- (- 1.0 (* x x))))
1.0ms
(log1p (exp (- (- 1.0 (* x x)))))
1.0ms
(expm1 (log1p (exp (- (- 1.0 (* x x))))))

series406.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- 1.0 (* x x))
23.0ms
(exp (- (- 1.0 (* x x))))
143.0ms
(log1p (exp (- (- 1.0 (* x x)))))
197.0ms
(expm1 (log1p (exp (- (- 1.0 (* x x))))))

simplify137.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0261477
1864416
24329378
35001374

prune205.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
5×expm1-log1p-u
4×add-exp-log log1p-expm1-u
3×associate-*r* associate-*l*
2×associate-*l/
1×neg-sub0 exp-neg log1p-udef expm1-log1p exp-prod exp-to-pow exp-diff log1p-expm1 pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log expm1-udef unswap-sqr
Counts
4 → 56
Calls
4 calls:
2.0ms
(exp (* x x))
9.0ms
(* (exp (- 1.0)) (exp (* x x)))
1.0ms
(log1p (* (exp (- 1.0)) (exp (* x x))))
1.0ms
(expm1 (log1p (* (exp (- 1.0)) (exp (* x x)))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(exp (* x x))
100.0ms
(* (exp (- 1.0)) (exp (* x x)))
261.0ms
(log1p (* (exp (- 1.0)) (exp (* x x))))
444.0ms
(expm1 (log1p (* (exp (- 1.0)) (exp (* x x)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
0189433
1717375
24246349
35001344

prune155.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

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
086

end0.0ms

sample562.0ms

Algorithm
intervals
Results
362.0ms16103×body80valid