Details

Time bar (total: 4.2s)

sample75.0ms

Algorithm
intervals
Results
37.0ms114×body1280valid
13.0ms77×body640valid
6.0ms231×body80valid
4.0ms35×body320valid
2.0ms22×body160valid

simplify131.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72435
815635
950015

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.9b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.0b
(- (exp x) (exp (neg x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
4.0ms
(- (exp x) (exp (neg x)))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(- (exp x) (exp (neg x)))

simplify35.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune65.0ms

Filtered
17 candidates to 14 candidates (82.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0b

Counts
18 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-log-exp
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
4×cube-prod sqr-pow
3×pow1 sum-log
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult associate-+r+ flip3-+ unpow3 flip-+
Counts
3 → 69
Calls
3 calls:
10.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series139.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
51.0ms
(* 1/60 (pow x 5))
35.0ms
(* 1/3 (pow x 3))

simplify47.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0300375
11301346
25001346

prune180.0ms

Filtered
78 candidates to 49 candidates (62.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done000
Total78381

Merged error: 0b

Counts
81 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) -2)
0.1b
(pow (exp (neg x)) 3)
0.1b
(pow (exp x) 3)
5.9b
(- (pow (exp x) 3) (pow (exp (neg x)) 3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
27×*-un-lft-identity
21×unpow-prod-down
19×pow-pow
18×cube-prod
17×add-cube-cbrt
16×exp-prod difference-of-squares
11×sqr-pow
9×pow-unpow
7×pow1
6×add-cbrt-cube add-log-exp
5×distribute-lft-out--
4×add-exp-log
3×distribute-lft-neg-in pow-to-exp distribute-rgt-neg-in pow-exp
2×cube-div cube-mult unpow3 rem-cube-cbrt
1×difference-cubes neg-sub0 exp-neg neg-mul-1 sub-neg flip3-- exp-diff diff-log flip--
Counts
4 → 115
Calls
4 calls:
3.0ms
(pow (exp x) -2)
5.0ms
(pow (exp (neg x)) 3)
3.0ms
(pow (exp x) 3)
11.0ms
(- (pow (exp x) 3) (pow (exp (neg x)) 3))

series152.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(pow (exp x) -2)
26.0ms
(pow (exp (neg x)) 3)
22.0ms
(pow (exp x) 3)
85.0ms
(- (pow (exp x) 3) (pow (exp (neg x)) 3))

simplify81.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0380681
11642650
25002602

prune353.0ms

Filtered
127 candidates to 74 candidates (58.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done011
Total1273130

Merged error: 0b

Counts
130 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
0.0b
(* (exp x) (- (exp x) (pow (exp x) -3)))
0.1b
(pow (exp x) -3)
5.9b
(- (exp x) (pow (exp x) -3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
11×add-cube-cbrt add-cbrt-cube
9×add-exp-log
7×pow1 associate-*r*
6×add-log-exp difference-of-squares
5×unpow-prod-down
4×pow-pow times-frac associate-*r/ associate-/r*
3×sub-neg pow-unpow exp-prod flip3-- associate-*l* flip-- sqr-pow
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
1×pow-to-exp frac-2neg flip3-+ diff-log pow-prod-down pow-exp clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 91
Calls
4 calls:
13.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
9.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
3.0ms
(pow (exp x) -3)
9.0ms
(- (exp x) (pow (exp x) -3))

series249.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
71.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
32.0ms
(pow (exp x) -3)
43.0ms
(- (exp x) (pow (exp x) -3))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0420889
12102787
25001784

prune273.0ms

Filtered
103 candidates to 74 candidates (71.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done022
Total1033106

Merged error: 0b

Counts
106 → 3

regimes30.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s3417×body1280valid
438.0ms2432×body640valid
215.0ms8189×body80valid
137.0ms1217×body320valid
46.0ms660×body160valid

Profiling

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