Details

Time bar (total: 1.8s)

sample20.0ms

Algorithm
intervals
Results
11.0ms509×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1254
2474
3904
42394
58054
630724
750034

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize137.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
6×add-sqr-sqrt
5×add-log-exp
4×distribute-lft-neg-in add-cube-cbrt distribute-rgt-neg-in *-un-lft-identity
3×rem-exp-log
2×distribute-neg-in exp-sum neg-log difference-of-squares
1×pow1 add-exp-log neg-sub0 exp-neg neg-mul-1 sub-neg exp-diff diff-log add-cbrt-cube
Counts
1 → 26
Calls
1 calls:
11.0ms
(exp (- (- 1.0 (* x x))))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(exp (- (- 1.0 (* x x))))

simplify49.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0108131
1298119
21348116
35001114

prune59.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (/ (exp 1.0) (exp (* x x))))
0.0b
(exp (* x x))
0.0b
(/ (exp 1.0) (exp (* x x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
10×add-cbrt-cube
8×add-exp-log div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×exp-prod exp-to-pow pow-flip associate-/r/ rem-exp-log inv-pow
Counts
3 → 113
Calls
3 calls:
8.0ms
(/ 1 (/ (exp 1.0) (exp (* x x))))
1.0ms
(exp (* x x))
4.0ms
(/ (exp 1.0) (exp (* x x)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ 1 (/ (exp 1.0) (exp (* x x))))
10.0ms
(exp (* x x))
60.0ms
(/ (exp 1.0) (exp (* x x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03731056
11603922
25002844

prune166.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(pow (exp -1) (- 1.0 (* x x)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×add-cube-cbrt pow-unpow pow-pow *-un-lft-identity
3×unpow-prod-down exp-prod
2×pow1 unpow-prod-up
1×add-exp-log pow-to-exp sub-neg pow-exp add-cbrt-cube pow-sub add-log-exp difference-of-squares sqr-pow
Counts
1 → 24
Calls
1 calls:
3.0ms
(pow (exp -1) (- 1.0 (* x x)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(pow (exp -1) (- 1.0 (* x x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0130154
1456149
22017146
35002142

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×sqrt-pow1
30×add-sqr-sqrt
24×sqrt-prod
21×pow1
18×add-log-exp
16×add-cube-cbrt *-un-lft-identity
14×exp-prod exp-to-pow
11×add-cbrt-cube
10×pow1/2
9×add-exp-log pow-prod-up
8×swap-sqr
7×pow-prod-down pow-sqr
6×associate-*r* associate-*l*
4×unswap-sqr
3×times-frac associate-/l*
2×cbrt-undiv rem-sqrt-square div-exp prod-exp cbrt-unprod
1×pow2 frac-2neg pow-plus sqrt-unprod clear-num associate-/r* rem-square-sqrt *-commutative div-inv
Counts
4 → 112
Calls
4 calls:
1.0ms
(sqrt (exp (* x x)))
1.0ms
(sqrt (exp (* x x)))
10.0ms
(/ (exp 1.0) (* (sqrt (exp (* x x))) (sqrt (exp (* x x)))))
13.0ms
(* (sqrt (exp (* x x))) (sqrt (exp (* x x))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (exp (* x x)))
19.0ms
(sqrt (exp (* x x)))
60.0ms
(/ (exp 1.0) (* (sqrt (exp (* x x))) (sqrt (exp (* x x)))))
10.0ms
(* (sqrt (exp (* x x))) (sqrt (exp (* x x))))

simplify37.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0222645
11009526
25002490

prune185.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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
074

end0.0ms

sample501.0ms

Algorithm
intervals
Results
325.0ms16015×body80valid