Details

Time bar (total: 3.1s)

sample35.0ms

Algorithm
intervals
Results
26.0ms510×body80valid

simplify63.0ms

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))))

rewrite16.0ms

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))
12.0ms
(exp (- (- 1.0 (* x x))))

series67.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- 1.0 (* x x))
29.0ms
(exp (- (- 1.0 (* x x))))

simplify88.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0196276
1618244
22764217
35001205

prune120.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (+ (sqrt 1.0) x))
0.0b
(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×unpow-prod-up add-cube-cbrt distribute-neg-in
18×prod-diff
16×pow-unpow
11×sqrt-prod
8×exp-prod
6×distribute-lft-neg-in distribute-rgt-neg-in
5×pow-pow add-log-exp
4×unpow-prod-down difference-of-squares
3×pow1
2×add-exp-log expm1-log1p-u exp-sum add-cbrt-cube log1p-expm1-u rem-exp-log distribute-lft-out distribute-lft-out--
1×neg-sub0 pow-to-exp pow-neg neg-mul-1 sub-neg pow-exp sum-log pow-sub sqr-pow
Counts
2 → 75
Calls
2 calls:
14.0ms
(exp (+ (sqrt 1.0) x))
27.0ms
(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

series207.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(exp (+ (sqrt 1.0) x))
186.0ms
(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0410888
11452728
25001569

prune150.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
20×unpow-prod-up
18×add-cube-cbrt prod-diff
13×pow-pow
12×exp-prod
10×sqrt-prod
6×pow-unpow
4×distribute-lft-neg-in unpow-prod-down distribute-rgt-neg-in
2×pow1 distribute-lft-out difference-of-squares
1×add-exp-log expm1-log1p-u pow-to-exp neg-mul-1 sub-neg distribute-neg-in exp-sum pow-exp add-cbrt-cube log1p-expm1-u distribute-lft-out-- pow-sub add-log-exp sqr-pow
Counts
1 → 56
Calls
1 calls:
44.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series220.0ms

Counts
1 → 3
Calls
1 calls:
220.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify37.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0322788
11098657
25001657

prune112.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
112×exp-prod
96×sqrt-pow1
73×add-sqr-sqrt
58×*-un-lft-identity
44×add-cube-cbrt
42×sqrt-prod
38×distribute-rgt-neg-in
34×distribute-lft-neg-in distribute-neg-in exp-sum
21×prod-diff
19×pow1 pow-prod-down pow-prod-up
17×pow-sqr difference-of-squares
15×swap-sqr
14×add-log-exp
12×sqrt-div
11×associate-*r* associate-*l*
10×neg-mul-1
9×sub-neg
8×neg-sub0 exp-neg pow1/2 exp-diff
6×add-exp-log add-cbrt-cube rem-exp-log
4×expm1-log1p-u frac-times neg-log log1p-expm1-u unswap-sqr
3×fma-neg diff-log
2×associate-*r/ associate-*l/
1×pow2 flip3-- pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative flip-- cbrt-unprod
Counts
4 → 203
Calls
4 calls:
2.0ms
(- 1.0 (* x x))
106.0ms
(* (sqrt (exp (- (- 1.0 (* x x))))) (sqrt (exp (- (- 1.0 (* x x))))))
11.0ms
(exp (- (- 1.0 (* x x))))
12.0ms
(exp (- (- 1.0 (* x x))))

series120.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- 1.0 (* x x))
24.0ms
(* (sqrt (exp (- (- 1.0 (* x x))))) (sqrt (exp (- (- 1.0 (* x x))))))
24.0ms
(exp (- (- 1.0 (* x x))))
29.0ms
(exp (- (- 1.0 (* x x))))

simplify68.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04261301
119171106
250011047

prune430.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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
097
197

end0.0ms

sample1.0s

Algorithm
intervals
Results
815.0ms15905×body80valid