Details

Time bar (total: 6.2s)

sample81.0ms

Algorithm
intervals
Results
31.0ms99×body1280valid
15.0ms89×body640valid
11.0ms286×body80valid
4.0ms37×body320valid
2.0ms25×body160valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
7.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
18.0ms
(* (sin x) (/ (sinh y) y))

series254.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (sinh y) y)
62.0ms
(sinh y)
106.0ms
(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0348444
11367399
25001397

prune190.0ms

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)))

rewrite75.0ms

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×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×sinh-def *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 92
Calls
4 calls:
1.0ms
(sinh y)
1.0ms
(sinh y)
22.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
46.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(sinh y)
62.0ms
(sinh y)
189.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
131.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify112.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
08851066
14347933
25002893

prune385.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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)))

rewrite262.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
1×sinh-def
Counts
4 → 131
Calls
4 calls:
1.0ms
(sinh y)
52.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
173.0ms
(* (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (sqrt (/ (sinh y) y))))
30.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

series803.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(sinh y)
420.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
132.0ms
(* (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (sqrt (/ (sinh y) y))))
192.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
018632352
150022115

prune648.0ms

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)

rewrite32.0ms

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×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u 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 → 55
Calls
3 calls:
1.0ms
(sinh y)
15.0ms
(* (sinh y) (sin x))
14.0ms
(/ (* (sinh y) (sin x)) y)

series231.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
86.0ms
(* (sinh y) (sin x))
79.0ms
(/ (* (sinh y) (sin x)) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0291340
11152291
25001289

prune141.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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
01315
11315

end0.0ms

sample2.3s

Algorithm
intervals
Results
839.0ms3021×body1280valid
425.0ms2427×body640valid
348.0ms8637×body80valid
152.0ms1253×body320valid
63.0ms663×body160valid