Details

Time bar (total: 3.9s)

sample59.0ms

Algorithm
intervals
Results
16.0ms61×body1280valid
12.0ms325×body80valid
11.0ms64×body640valid
5.0ms46×body320valid
2.0ms19×body160valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55174
614554
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
15.7b
(/ (* (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:
0.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
4.0ms
(/ (* (sin x) (sinh y)) x)

series230.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(sinh y)
81.0ms
(* (sin x) (sinh y))
92.0ms
(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune123.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(/ (sinh y) x)
0.4b
(* (sin x) (/ (sinh y) x))

rewrite14.0ms

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:
0.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
9.0ms
(* (sin x) (/ (sinh y) x))

series222.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
71.0ms
(/ (sinh y) x)
91.0ms
(* (sin x) (/ (sinh y) x))

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0328433
11261387
25001385

prune169.0ms

Filtered
77 candidates to 60 candidates (77.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(/ x (sinh y))
0.6b
(/ (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:
0.0ms
(sinh y)
2.0ms
(/ x (sinh y))
6.0ms
(/ (sin x) (/ x (sinh y)))

series287.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(sinh y)
107.0ms
(/ x (sinh y))
91.0ms
(/ (sin x) (/ x (sinh y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0475938
11984886
25001865

prune290.0ms

Filtered
119 candidates to 99 candidates (83.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(/ (sin x) x)
0.3b
(* (/ (sin x) x) (sinh y))

rewrite15.0ms

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:
0.0ms
(sinh y)
3.0ms
(/ (sin x) x)
9.0ms
(* (/ (sin x) x) (sinh y))

series184.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(sinh y)
31.0ms
(/ (sin x) x)
96.0ms
(* (/ (sin x) x) (sinh y))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0311427
11229381
25001358

prune189.0ms

Filtered
78 candidates to 60 candidates (76.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes61.0ms

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

sample1.8s

Algorithm
intervals
Results
520.0ms1890×body1280valid
407.0ms10387×body80valid
364.0ms1998×body640valid
142.0ms1145×body320valid
54.0ms644×body160valid