Details

Time bar (total: 4.2s)

sample97.0ms

Algorithm
intervals
Results
35.0ms102×body1280valid
20.0ms106×body640valid
10.0ms219×body80valid
8.0ms62×body320valid
3.0ms29×body160valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
55004
614274
746404
850014

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l*
2×prod-exp cbrt-unprod add-log-exp unswap-sqr
1×cbrt-undiv sinh-def associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
2 → 40
Calls
2 calls:
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) y))

series29.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(sinh y)
21.0ms
(* (sin x) (/ (sinh y) y))

simplify35.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0277275
11155241
25001232

prune52.0ms

Filtered
46 candidates to 35 candidates (23.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New43346
Fresh000
Picked101
Done000
Total44347

Merged error: 0b

Counts
47 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*r*
28×add-sqr-sqrt sqrt-prod
21×add-cube-cbrt *-un-lft-identity
19×times-frac
11×pow1 add-exp-log add-cbrt-cube
5×sqrt-div
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×sinh-def *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 84
Calls
4 calls:
1.0ms
(sinh y)
1.0ms
(sinh y)
13.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
8.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

series97.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sinh y)
7.0ms
(sinh y)
39.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
43.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

simplify32.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09121052
15001950

prune139.0ms

Filtered
96 candidates to 76 candidates (20.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done000
Total96399

Merged error: 0b

Counts
99 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×sinh-def cbrt-div
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt y)
3.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))

series105.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
27.0ms
(cbrt (sinh y))
27.0ms
(cbrt (sinh y))
27.0ms
(cbrt (sinh y))

simplify45.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0136318
1294299
21020229
35001210

prune56.0ms

Filtered
59 candidates to 44 candidates (25.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh011
Picked011
Done011
Total59362

Merged error: 0b

Counts
62 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (sinh y))
7.4b
(/ (* (sin x) (sinh y)) y)

rewrite11.0ms

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)) y)

series43.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
16.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0279320
11233272
25002255

prune49.0ms

Filtered
58 candidates to 43 candidates (25.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done022
Total58361

Merged error: 0b

Counts
61 → 3

regimes143.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0109
1109

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.2s3781×body1280valid
608.0ms3145×body640valid
412.0ms8675×body80valid
226.0ms1585×body320valid
77.0ms817×body160valid

Profiling

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