Details

Time bar (total: 7.2s)

sample72.0ms

Algorithm
intervals
Results
28.0ms99×body1280valid
13.0ms77×body640valid
12.0ms290×body80valid
4.0ms38×body320valid
1.0ms18×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))

rewrite18.0ms

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))

series330.0ms

Counts
3 → 9
Calls
3 calls:
144.0ms
(/ (sinh y) y)
72.0ms
(sinh y)
113.0ms
(* (sin x) (/ (sinh y) y))

simplify58.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0348444
11367399
25001397

prune205.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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:
11.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
27.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series717.0ms

Counts
4 → 12
Calls
4 calls:
430.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
80.0ms
(sqrt (/ (sinh y) y))
79.0ms
(sqrt (/ (sinh y) y))
128.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011081584
150011406

prune484.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (sinh y) y))
0.0b
(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)))))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
96×sqrt-prod
92×cbrt-prod
64×times-frac
54×add-cube-cbrt *-un-lft-identity
38×sqrt-div
34×pow1
28×cbrt-div
27×add-exp-log
22×associate-*r/
21×swap-sqr
20×associate-*r* associate-*l*
18×frac-times
17×pow-prod-down add-cbrt-cube
16×prod-exp cbrt-unprod unswap-sqr
12×associate-*l/
6×pow1/3 div-inv
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
2×sqrt-pow1 pow1/2 pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 197
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
28.0ms
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
119.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (* (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y)))) (cbrt (sqrt (/ (sinh y) y)))))

series573.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(sqrt (/ (sinh y) y))
79.0ms
(sqrt (/ (sinh y) y))
286.0ms
(* (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)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
016373998
150013572

prune816.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(sinh y)
0.0b
(sqrt (/ (sinh y) y))
0.0b
(* (* (sin x) (fma 1/12 (pow y 2) (fma 1/1440 (pow y 4) 1))) (sqrt (/ (sinh y) y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt *-un-lft-identity
26×sqrt-prod
16×associate-*r*
11×add-exp-log add-cbrt-cube
10×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp associate-/r* cbrt-unprod div-inv associate-/l*
2×sinh-def rem-sqrt-square sqrt-div
1×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 associate-*r/ div-exp associate-*l* clear-num *-commutative associate-/l/
Counts
4 → 101
Calls
4 calls:
3.0ms
(/ (sinh y) y)
0.0ms
(sinh y)
3.0ms
(sqrt (/ (sinh y) y))
13.0ms
(* (* (sin x) (fma 1/12 (pow y 2) (fma 1/1440 (pow y 4) 1))) (sqrt (/ (sinh y) y)))

series569.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (sinh y) y)
63.0ms
(sinh y)
84.0ms
(sqrt (/ (sinh y) y))
332.0ms
(* (* (sin x) (fma 1/12 (pow y 2) (fma 1/1440 (pow y 4) 1))) (sqrt (/ (sinh y) y)))

simplify114.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
010641173
145371046
250011041

prune558.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
11420

end0.0ms

sample2.2s

Algorithm
intervals
Results
849.0ms3006×body1280valid
459.0ms2566×body640valid
351.0ms8542×body80valid
151.0ms1263×body320valid
50.0ms594×body160valid