Details

Time bar (total: 5.7s)

sample73.0ms

Algorithm
intervals
Results
32.0ms105×body1280valid
16.0ms85×body640valid
9.0ms303×body80valid
4.0ms31×body320valid
2.0ms25×body160valid

simplify215.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72505
812525
950015

prune2.0ms

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: 57.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.9b
(- (exp x) (exp (- 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 (- x)))

series38.0ms

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

simplify575.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0100120
1257108
2763107
34896105
45001105

prune51.0ms

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: 0.0b

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))

rewrite27.0ms

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))
7.0ms
(* 1/3 (pow x 3))

series275.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
133.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
51.0ms
(* 1/60 (pow x 5))
36.0ms
(* 1/3 (pow x 3))

simplify59.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0354458
11537430
25002429

prune161.0ms

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: 0.0b

Counts
95 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x)))))
5.9b
(- (exp x) (exp (- x)))
5.9b
(- (exp x) (exp (- x)))
5.9b
(- (exp x) (exp (- x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
32×*-un-lft-identity
28×cbrt-prod
12×add-cube-cbrt cbrt-div
11×pow1
10×swap-sqr add-log-exp
9×flip3-- flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log pow1/3
4×frac-times add-cbrt-cube unswap-sqr
3×sub-neg diff-log
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
15.0ms
(* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x)))))
5.0ms
(- (exp x) (exp (- x)))
5.0ms
(- (exp x) (exp (- x)))
5.0ms
(- (exp x) (exp (- x)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x)))))
41.0ms
(- (exp x) (exp (- x)))
35.0ms
(- (exp x) (exp (- x)))
41.0ms
(- (exp x) (exp (- x)))

simplify224.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02491217
18111141
247651032
350011032

prune423.0ms

Filtered
110 candidates to 76 candidates (69.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh011
Picked101
Done011
Total1103113

Merged error: 0b

Counts
113 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

5.9b
(- (exp x) (exp (- x)))
5.9b
(- (exp x) (exp (- x)))
5.9b
(- (exp x) (exp (- x)))
5.9b
(- (exp x) (exp (- x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
5.0ms
(- (exp x) (exp (- x)))
5.0ms
(- (exp x) (exp (- x)))
5.0ms
(- (exp x) (exp (- x)))
5.0ms
(- (exp x) (exp (- x)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (exp x) (exp (- x)))
34.0ms
(- (exp x) (exp (- x)))
38.0ms
(- (exp x) (exp (- x)))
35.0ms
(- (exp x) (exp (- x)))

simplify573.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0100480
1257432
2763428
34896420
45001420

prune225.0ms

Filtered
68 candidates to 56 candidates (82.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done011
Total68371

Merged error: 0b

Counts
71 → 3

regimes35.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b 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
1.1s3396×body1280valid
473.0ms2440×body640valid
238.0ms8043×body80valid
145.0ms1220×body320valid
50.0ms666×body160valid

Profiling

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