Details

Time bar (total: 3.4s)

sample85.0ms

Algorithm
intervals
Results
20.0ms63×body1280valid
15.0ms78×body640valid
15.0ms341×body80valid
8.0ms52×body320valid
1.0ms13×body160valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
850014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.8b
(/ (* (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)

series47.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
20.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0280320
11233272
25001255

prune91.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh000
Picked011
Done000
Total52759

Merged error: 0.0b

Counts
59 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
0.1b
(* (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:
3.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) x))

series42.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (sinh y) x)
7.0ms
(sinh y)
21.0ms
(* (sin x) (/ (sinh y) x))

simplify38.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0328433
11261387
25001385

prune72.0ms

Filtered
58 candidates to 77 candidates (-32.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done011
Total77784

Merged error: 0.0b

Counts
84 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.9b
(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
1.0ms
(sinh y)
3.0ms
(/ x (sinh y))
6.0ms
(/ (sin x) (/ x (sinh y)))

series50.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
21.0ms
(/ x (sinh y))
21.0ms
(/ (sin x) (/ x (sinh y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0475938
11984886
25001865

prune107.0ms

Filtered
99 candidates to 119 candidates (-20.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1163119
Fresh314
Picked011
Done022
Total1197126

Merged error: 0b

Counts
126 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ 1 (sinh y))
0.1b
(/ (sin x) x)
0.2b
(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
461×times-frac
223×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×add-exp-log div-inv
20×associate-/r* add-cbrt-cube
19×div-exp associate-/l*
16×sinh-def associate-/r/
10×cbrt-undiv
5×pow1
4×add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/l/ inv-pow
Counts
4 → 300
Calls
4 calls:
1.0ms
(sinh y)
3.0ms
(/ 1 (sinh y))
3.0ms
(/ (sin x) x)
11.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sinh y)
11.0ms
(/ 1 (sinh y))
4.0ms
(/ (sin x) x)
19.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014053454
150013122

prune232.0ms

Filtered
195 candidates to 312 candidates (-60.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3120312
Fresh033
Picked011
Done033
Total3127319

Merged error: 0b

Counts
319 → 7

regimes203.0ms

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
074
174

end0.0ms

sample2.1s

Algorithm
intervals
Results
547.0ms1834×body1280valid
461.0ms10402×body80valid
391.0ms2024×body640valid
152.0ms1115×body320valid
60.0ms590×body160valid

Profiling

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