Details

Time bar (total: 6.0s)

sample82.0ms

Algorithm
intervals
Results
27.0ms99×body1280valid
16.0ms89×body640valid
15.0ms286×body80valid
4.0ms37×body320valid
2.0ms25×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
54924
613904
748564
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:
7.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
17.0ms
(* (sin x) (/ (sinh y) y))

series251.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ (sinh y) y)
60.0ms
(sinh y)
107.0ms
(* (sin x) (/ (sinh y) y))

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0333428
11323384
25001382

prune157.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

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

rewrite73.0ms

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)
21.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
47.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(sinh y)
62.0ms
(sinh y)
187.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
131.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify119.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
08471030
14252898
25002890

prune282.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
73×sqrt-prod
54×associate-*r*
38×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
28×times-frac
27×sqrt-div
20×pow1 add-exp-log add-cbrt-cube
11×associate-*r/
10×pow-prod-down prod-exp cbrt-unprod
6×frac-times associate-*l/
5×associate-*l*
4×add-log-exp
3×*-commutative div-inv unswap-sqr
1×sinh-def
Counts
4 → 123
Calls
4 calls:
1.0ms
(sinh y)
49.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
163.0ms
(* (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (sqrt (/ (sinh y) y))))
20.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

series793.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sinh y)
414.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
129.0ms
(* (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (sqrt (/ (sinh y) y))))
188.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017832284
150021987

prune582.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sinh y) (sin x))
15.3b
(/ (* (sinh y) (sin x)) y)

rewrite28.0ms

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 div-exp associate-*l/ 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)
11.0ms
(* (sinh y) (sin x))
14.0ms
(/ (* (sinh y) (sin x)) y)

series237.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
88.0ms
(* (sinh y) (sin x))
84.0ms
(/ (* (sinh y) (sin x)) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0279320
11110272
25001247

prune105.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b 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
0109
1109

end0.0ms

sample2.3s

Algorithm
intervals
Results
855.0ms3021×body1280valid
414.0ms2427×body640valid
364.0ms8637×body80valid
149.0ms1253×body320valid
59.0ms663×body160valid