Details

Time bar (total: 3.9s)

sample78.0ms

Algorithm
intervals
Results
24.0ms68×body1280valid
14.0ms335×body80valid
11.0ms57×body640valid
5.0ms38×body320valid
2.0ms20×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
850014

prune4.0ms

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: 14.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.6b
(/ (* (sin x) (sinh y)) x)

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)) x)

series47.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0280320
11233272
25001255

prune173.0ms

Filtered
58 candidates to 43 candidates (25.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh000
Picked011
Done000
Total52759

Merged error: 0b

Counts
59 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

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) x))

series27.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(sinh y)
19.0ms
(* (sin x) (/ (sinh y) x))

simplify36.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0271276
11124241
25001232

prune116.0ms

Filtered
46 candidates to 33 candidates (28.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh055
Picked011
Done011
Total46753

Merged error: 0b

Counts
53 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.5b
(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

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)))

series54.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(sinh y)
23.0ms
(/ x (sinh y))
20.0ms
(/ (sin x) (/ x (sinh y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0475938
11984886
25001865

prune530.0ms

Filtered
119 candidates to 99 candidates (16.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh134
Picked011
Done112
Total1206126

Merged error: 0b

Counts
126 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1
3×sinh-def associate-*r* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

series34.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
22.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0311427
11229381
25002358

prune204.0ms

Filtered
78 candidates to 59 candidates (24.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done022
Total78684

Merged error: 0b

Counts
84 → 6

regimes210.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.1s

Algorithm
intervals
Results
601.0ms1943×body1280valid
433.0ms10306×body80valid
396.0ms1970×body640valid
158.0ms1167×body320valid
59.0ms618×body160valid

Profiling

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