Details

Time bar (total: 8.0s)

sample88.0ms

Algorithm
intervals
Results
29.0ms86×body1280valid
19.0ms80×body640valid
17.0ms258×body80valid
6.0ms39×body320valid
3.0ms24×body160valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

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×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:
3.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
9.0ms
(* (sin x) (/ (sinh y) y))

series256.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(/ (sinh y) y)
62.0ms
(sinh y)
102.0ms
(* (sin x) (/ (sinh y) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0348444
11367399
25001397

prune196.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-div
13×pow1 add-exp-log
10×associate-*r/
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* div-inv
1×associate-*r* *-commutative
Counts
4 → 102
Calls
4 calls:
80.0ms
(* (sin x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))
2.0ms
(cbrt (/ (sinh y) y))
2.0ms
(cbrt (/ (sinh y) y))
2.0ms
(cbrt (/ (sinh y) y))

series772.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (sin x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))
222.0ms
(cbrt (/ (sinh y) y))
215.0ms
(cbrt (/ (sinh y) y))
220.0ms
(cbrt (/ (sinh y) y))

simplify136.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
03821090
11111977
24566863
35001862

prune367.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
48×add-sqr-sqrt
39×times-frac
35×add-cube-cbrt *-un-lft-identity
32×associate-*r*
13×pow1
11×add-exp-log add-cbrt-cube
7×sqrt-div
4×expm1-log1p-u rem-sqrt-square associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×frac-times associate-*l/
Counts
4 → 126
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
24.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
12.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

series491.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (/ (sinh y) y))
83.0ms
(sqrt (/ (sinh y) y))
127.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
197.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011081584
150011406

prune483.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
119×add-sqr-sqrt
111×sqrt-prod
108×cbrt-prod
73×times-frac
65×add-cube-cbrt *-un-lft-identity
54×associate-*r*
38×sqrt-div
32×pow1
28×cbrt-div
26×add-exp-log
23×associate-*l*
21×associate-*r/ swap-sqr
19×unswap-sqr
18×frac-times
16×pow-prod-down
15×prod-exp add-cbrt-cube cbrt-unprod
14×associate-*l/
7×div-inv
6×pow1/3
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×rem-sqrt-square pow-sqr pow-prod-up
1×pow2 sqrt-pow1 pow-plus pow1/2
Counts
4 → 221
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
14.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
27.0ms
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
163.0ms
(* (* (* (sin x) (sqrt (/ (sinh y) y))) (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))) (cbrt (sqrt (/ (sinh y) y))))

series882.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (/ (sinh y) y))
184.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
488.0ms
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
128.0ms
(* (* (* (sin x) (sqrt (/ (sinh y) y))) (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))) (cbrt (sqrt (/ (sinh y) y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
020304459
150014249

prune863.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11113

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s2965×body1280valid
589.0ms2515×body640valid
465.0ms8472×body80valid
199.0ms1144×body320valid
75.0ms612×body160valid