Details

Time bar (total: 3.5s)

sample123.0ms

Algorithm
intervals
Results
20.0ms63×body1280valid
14.0ms307×body80valid
13.0ms66×body640valid
5.0ms38×body320valid
2.0ms22×body160valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
014277
114277

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.2b
(* (sin x) (/ (sinh y) x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series41.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
13.0ms
(/ (sinh y) x)
20.0ms
(* (sin x) (/ (sinh y) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05888627

prune85.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New73477
Fresh011
Picked011
Done000
Total73679

Merged error: 0.0b

Counts
79 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin x)) (cbrt (sin x)))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))

series75.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
17.0ms
(cbrt (sin x))
19.0ms
(cbrt (sin x))
17.0ms
(cbrt (sin x))

simplify51.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05086488

prune80.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh044
Picked101
Done011
Total85691

Merged error: 0b

Counts
91 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x))))
15.8b
(cbrt (* (sin x) (/ (sinh y) x)))
15.8b
(cbrt (* (sin x) (/ (sinh y) x)))
15.8b
(cbrt (* (sin x) (/ (sinh y) x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*r/
7×cbrt-prod cbrt-div
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
5.0ms
(* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x))))
4.0ms
(cbrt (* (sin x) (/ (sinh y) x)))
4.0ms
(cbrt (* (sin x) (/ (sinh y) x)))
4.0ms
(cbrt (* (sin x) (/ (sinh y) x)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x))))
50.0ms
(cbrt (* (sin x) (/ (sinh y) x)))
51.0ms
(cbrt (* (sin x) (/ (sinh y) x)))
49.0ms
(cbrt (* (sin x) (/ (sinh y) x)))

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05037841

prune82.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done011
Total76682

Merged error: 0b

Counts
82 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
12.8b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series42.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
16.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05022419

prune50.0ms

Filtered
43 candidates to 58 candidates (-34.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh033
Picked011
Done022
Total58664

Merged error: 0b

Counts
64 → 6

regimes193.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms

sample2.1s

Algorithm
intervals
Results
567.0ms1840×body1280valid
488.0ms10338×body80valid
399.0ms1920×body640valid
151.0ms1101×body320valid
59.0ms617×body160valid

Profiling

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