Details

Time bar (total: 4.0s)

sample73.0ms

Algorithm
intervals
Results
33.0ms112×body1280valid
15.0ms84×body640valid
7.0ms275×body80valid
4.0ms35×body320valid
1.0ms14×body160valid

simplify132.0ms

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: 57.8b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b
(- (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:
5.0ms
(- (exp x) (exp (neg x)))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(- (exp x) (exp (neg x)))

simplify31.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune63.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×cube-mult associate-+r+ unpow3
Counts
4 → 80
Calls
4 calls:
8.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
4.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series261.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
123.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
45.0ms
(* 1/60 (pow x 5))
37.0ms
(* 1/3 (pow x 3))

simplify52.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0354458
11537429
25002428

prune222.0ms

Filtered
92 candidates to 59 candidates (64.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh022
Picked011
Done000
Total92395

Merged error: 0b

Counts
95 → 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)))
0.0b
(pow (exp x) -3)
4.6b
(- (exp x) (pow (exp x) -3))

rewrite35.0ms

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:
14.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
10.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
3.0ms
(pow (exp x) -3)
6.0ms
(- (exp x) (pow (exp x) -3))

series296.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
89.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
27.0ms
(pow (exp x) -3)
47.0ms
(- (exp x) (pow (exp x) -3))

simplify62.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0420889
12061787
25001784

prune278.0ms

Filtered
103 candidates to 73 candidates (70.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done011
Total1033106

Merged error: 0b

Counts
106 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

4.7b
(- (exp x) (exp (neg x)))
4.9b
(log (exp (- (exp x) (exp (neg x)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt *-un-lft-identity
6×log-pow
5×log-prod exp-prod
4×add-cube-cbrt add-log-exp
3×pow1
2×add-exp-log sub-neg exp-sum add-cbrt-cube distribute-lft-out-- difference-of-squares
1×log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
2 → 34
Calls
2 calls:
5.0ms
(- (exp x) (exp (neg x)))
6.0ms
(log (exp (- (exp x) (exp (neg x)))))

series73.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (exp x) (exp (neg x)))
34.0ms
(log (exp (- (exp x) (exp (neg x)))))

simplify34.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0138262
1310230
2916229
35001227

prune89.0ms

Filtered
40 candidates to 27 candidates (67.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done022
Total40343

Merged error: 0b

Counts
43 → 3

regimes58.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s3415×body1280valid
456.0ms2507×body640valid
209.0ms8061×body80valid
135.0ms1220×body320valid
41.0ms597×body160valid

Profiling

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