Details

Time bar (total: 5.6s)

sample75.0ms

Algorithm
intervals
Results
28.0ms97×body1280valid
14.0ms79×body640valid
12.0ms272×body80valid
6.0ms48×body320valid
2.0ms19×body160valid

simplify43.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

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)
8.0ms
(* (sin x) (/ (sinh y) y))

series248.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (sinh y) y)
58.0ms
(sinh y)
104.0ms
(* (sin x) (/ (sinh y) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0348444
11367399
25001397

prune181.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(pow (/ (sinh y) y) 3)
0.2b
(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.3b
(cbrt (pow (/ (sinh y) y) 3))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
70×cbrt-prod
65×times-frac
59×add-cube-cbrt *-un-lft-identity
41×unpow-prod-down cube-prod
35×associate-*r*
11×add-exp-log
10×add-cbrt-cube
7×pow1 div-inv unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cbrt-div div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sinh-def pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod associate-/l/
Counts
4 → 181
Calls
4 calls:
2.0ms
(/ (sinh y) y)
4.0ms
(pow (/ (sinh y) y) 3)
27.0ms
(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
4.0ms
(cbrt (pow (/ (sinh y) y) 3))

series419.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (sinh y) y)
124.0ms
(pow (/ (sinh y) y) 3)
111.0ms
(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
95.0ms
(cbrt (pow (/ (sinh y) y) 3))

simplify86.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06131182
129461076
250011055

prune388.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize12.0ms

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)

rewrite13.0ms

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:
2.0ms
(/ (expm1 (log1p (sinh y))) y)
8.0ms
(* (sin x) (/ (expm1 (log1p (sinh y))) y))
0.0ms
(expm1 (log1p (sinh y)))
1.0ms
(sinh y)

series628.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(/ (expm1 (log1p (sinh y))) y)
144.0ms
(* (sin x) (/ (expm1 (log1p (sinh y))) y))
177.0ms
(expm1 (log1p (sinh y)))
59.0ms
(sinh y)

simplify45.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0363629
11372520
25002493

prune261.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/120 (pow y 4) 1)
0.0b
(* (sin x) (cbrt (pow (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)) 3)))
0.0b
(cbrt (pow (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)) 3))
0.0b
(pow (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)) 3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
24×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity associate-*r*
10×unpow-prod-down cube-prod
7×pow1 add-exp-log
6×add-cbrt-cube
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×cube-mult pow-unpow unpow3 associate-*l*
1×pow-to-exp pow-pow pow1/3 pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod fma-udef rem-cube-cbrt
Counts
4 → 94
Calls
4 calls:
0.0ms
(fma 1/120 (pow y 4) 1)
10.0ms
(* (sin x) (cbrt (pow (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)) 3)))
1.0ms
(cbrt (pow (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)) 3))
1.0ms
(pow (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)) 3)

series311.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(fma 1/120 (pow y 4) 1)
119.0ms
(* (sin x) (cbrt (pow (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)) 3)))
43.0ms
(cbrt (pow (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)) 3))
64.0ms
(pow (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)) 3)

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0290809
11246757
25001738

prune293.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes129.0ms

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
876.0ms3005×body1280valid
461.0ms2553×body640valid
368.0ms8579×body80valid
164.0ms1259×body320valid
58.0ms665×body160valid