Details

Time bar (total: 2.3s)

sample20.0ms

Algorithm
intervals
Results
11.0ms525×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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
7×add-sqr-sqrt
5×add-cube-cbrt distribute-neg-in *-un-lft-identity exp-sum add-log-exp
4×distribute-lft-neg-in distribute-rgt-neg-in
3×prod-diff rem-exp-log
2×neg-log difference-of-squares
1×pow1 add-exp-log neg-sub0 exp-neg expm1-log1p-u neg-mul-1 sub-neg exp-diff diff-log add-cbrt-cube log1p-expm1-u
Counts
1 → 31
Calls
1 calls:
11.0ms
(exp (- (- 1.0 (* x x))))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(exp (- (- 1.0 (* x x))))

simplify60.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0140176
1392156
21701140
35001133

prune201.0ms

Filtered
34 candidates to 24 candidates (70.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite45.0ms

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:
16.0ms
(exp (+ (sqrt 1.0) x))
26.0ms
(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

series193.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(exp (+ (sqrt 1.0) x))
171.0ms
(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

prune142.0ms

Filtered
81 candidates to 47 candidates (58.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×exp-sum
24×add-sqr-sqrt times-frac
22×add-cube-cbrt *-un-lft-identity
15×prod-diff
8×exp-prod associate-/r*
5×sub-neg pow-flip add-log-exp
4×add-cbrt-cube
3×pow1 add-exp-log associate-/l*
2×expm1-log1p-u exp-diff div-exp log1p-expm1-u rem-exp-log difference-of-squares
1×cbrt-undiv rec-exp frac-2neg diff-log 1-exp clear-num associate-/r/ div-inv inv-pow
Counts
2 → 79
Calls
2 calls:
12.0ms
(/ 1 (exp (- 1.0 (* x x))))
5.0ms
(exp (- 1.0 (* x x)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1 (exp (- 1.0 (* x x))))
21.0ms
(exp (- 1.0 (* x x)))

simplify106.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0228575
1721504
23344405
35001393

prune124.0ms

Filtered
85 candidates to 47 candidates (55.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (exp (- 1.0 (pow x 2))))
0.0b
(exp (- 1.0 (pow x 2)))
26.4b
(fma (- x) x (* x x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
130×exp-sum
121×add-sqr-sqrt
120×prod-diff
113×*-un-lft-identity
109×add-cube-cbrt
87×times-frac
47×unpow-prod-down
29×associate-/r*
17×unpow2 sqr-pow
16×exp-prod
9×pow-flip
8×difference-of-squares
6×add-log-exp
5×sub-neg add-cbrt-cube
4×pow1 add-exp-log
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×exp-diff div-exp rem-exp-log distribute-lft-out--
1×cbrt-undiv rec-exp frac-2neg diff-log 1-exp clear-num associate-/r/ fma-udef div-inv inv-pow
Counts
3 → 202
Calls
3 calls:
43.0ms
(/ 1 (exp (- 1.0 (pow x 2))))
18.0ms
(exp (- 1.0 (pow x 2)))
0.0ms
(fma (- x) x (* x x))

series122.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ 1 (exp (- 1.0 (pow x 2))))
21.0ms
(exp (- 1.0 (pow x 2)))
54.0ms
(fma (- x) x (* x x))

simplify56.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05892556
116321831
250011194

prune322.0ms

Filtered
211 candidates to 81 candidates (38.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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
0159
1159

end0.0ms

sample532.0ms

Algorithm
intervals
Results
341.0ms16001×body80valid