Details

Time bar (total: 5.4s)

sample91.0ms

Algorithm
intervals
Results
37.0ms111×body1280valid
18.0ms82×body640valid
14.0ms245×body80valid
4.0ms29×body320valid
2.0ms22×body160valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

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: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(/ (sinh y) y)
7.0ms
(* (sin x) (/ (sinh y) y))

series258.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(sinh y)
90.0ms
(/ (sinh y) y)
103.0ms
(* (sin x) (/ (sinh y) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0348444
11367399
25001397

prune163.0ms

Filtered
83 candidates to 67 candidates (80.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New79483
Fresh000
Picked101
Done000
Total80484

Merged error: 0b

Counts
84 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
48×add-sqr-sqrt
39×times-frac
35×add-cube-cbrt *-un-lft-identity
32×associate-*r*
13×pow1
11×add-exp-log add-cbrt-cube
7×sqrt-div
4×expm1-log1p-u rem-sqrt-square associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×frac-times associate-*l/
Counts
4 → 126
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
6.0ms
(sqrt (/ (sinh y) y))
8.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
11.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series511.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(sqrt (/ (sinh y) y))
90.0ms
(sqrt (/ (sinh y) y))
213.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
123.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011081584
150011406

prune418.0ms

Filtered
138 candidates to 113 candidates (81.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh033
Picked011
Done000
Total1384142

Merged error: 0b

Counts
142 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.2b
(* (* (sin x) (sinh y)) (/ 1 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
16×associate-*r*
14×add-sqr-sqrt
13×prod-exp
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×times-frac
7×cbrt-unprod
4×sinh-def associate-*r/ div-exp associate-*l* pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv rec-exp 1-exp *-commutative
1×frac-times associate-*l/ un-div-inv div-inv unswap-sqr
Counts
3 → 73
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
9.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

series255.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(sinh y)
86.0ms
(* (sin x) (sinh y))
104.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

simplify52.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0430493
12094408
25002367

prune132.0ms

Filtered
82 candidates to 54 candidates (65.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done011
Total82486

Merged error: 0b

Counts
86 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(* (sin x) (/ (sinh y) y))
0.4b
(pow (* (sin x) (/ (sinh y) y)) 3)
19.1b
(cbrt (pow (* (sin x) (/ (sinh y) y)) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
17×add-exp-log add-cbrt-cube
13×associate-*r*
9×pow1
8×cbrt-prod
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-undiv pow-unpow associate-*r/ div-exp associate-*l* pow-exp associate-/r* associate-/l* rem-cube-cbrt
2×cube-div cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-prod-down div-inv unswap-sqr sqr-pow
1×pow-to-exp sinh-def cbrt-div frac-2neg pow1/3 clear-num *-commutative rem-cbrt-cube associate-/l/
Counts
4 → 111
Calls
4 calls:
4.0ms
(/ (sinh y) y)
7.0ms
(* (sin x) (/ (sinh y) y))
6.0ms
(pow (* (sin x) (/ (sinh y) y)) 3)
2.0ms
(cbrt (pow (* (sin x) (/ (sinh y) y)) 3))

series516.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (sinh y) y)
102.0ms
(* (sin x) (/ (sinh y) y))
207.0ms
(pow (* (sin x) (/ (sinh y) y)) 3)
113.0ms
(cbrt (pow (* (sin x) (/ (sinh y) y)) 3))

simplify65.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0481721
12219680
25001671

prune265.0ms

Filtered
123 candidates to 93 candidates (75.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done022
Total1234127

Merged error: 0b

Counts
127 → 4

regimes103.0ms

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
0109
1109

end0.0ms

sample2.3s

Algorithm
intervals
Results
915.0ms2994×body1280valid
472.0ms2451×body640valid
390.0ms8655×body80valid
177.0ms1270×body320valid
61.0ms609×body160valid

Profiling

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