Details

Time bar (total: 6.0s)

sample74.0ms

Algorithm
intervals
Results
28.0ms97×body1280valid
14.0ms79×body640valid
11.0ms272×body80valid
6.0ms48×body320valid
2.0ms19×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: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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:
4.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
8.0ms
(* (sin x) (/ (sinh y) y))

series261.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (sinh y) y)
65.0ms
(sinh y)
105.0ms
(* (sin x) (/ (sinh y) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0348444
11367399
25001397

prune189.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
0.2b
(cbrt (/ (sinh y) y))
0.2b
(cbrt (/ (sinh y) y))
0.2b
(cbrt (/ (sinh y) y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
13.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
2.0ms
(cbrt (/ (sinh y) y))
2.0ms
(cbrt (/ (sinh y) y))
3.0ms
(cbrt (/ (sinh y) y))

series892.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
213.0ms
(cbrt (/ (sinh y) y))
219.0ms
(cbrt (/ (sinh y) y))
210.0ms
(cbrt (/ (sinh y) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03541491
111451436
250021356

prune511.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (expm1 (log1p (sinh y))) y)
0.0b
(* (sin x) (/ (expm1 (log1p (sinh y))) y))
0.0b
(expm1 (log1p (sinh y)))
0.0b
(sinh y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv expm1-udef unswap-sqr
1×sinh-def expm1-log1p frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 85
Calls
4 calls:
3.0ms
(/ (expm1 (log1p (sinh y))) y)
7.0ms
(* (sin x) (/ (expm1 (log1p (sinh y))) y))
1.0ms
(expm1 (log1p (sinh y)))
1.0ms
(sinh y)

series651.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(/ (expm1 (log1p (sinh y))) y)
151.0ms
(* (sin x) (/ (expm1 (log1p (sinh y))) y))
187.0ms
(expm1 (log1p (sinh y)))
64.0ms
(sinh y)

simplify42.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0363629
11372520
25002493

prune253.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0b
(fma 1/120 (pow y 4) 1)
0.0b
(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×fma-udef
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
1.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
1.0ms
(fma 1/120 (pow y 4) 1)
4.0ms
(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
85.0ms
(fma 1/120 (pow y 4) 1)
120.0ms
(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify113.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0153333
1686286
23913286
35001285

prune150.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes118.0ms

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
074
174

end0.0ms

sample2.2s

Algorithm
intervals
Results
855.0ms3005×body1280valid
461.0ms2553×body640valid
358.0ms8579×body80valid
158.0ms1259×body320valid
61.0ms665×body160valid