Details

Time bar (total: 3.8s)

sample66.0ms

Algorithm
intervals
Results
19.0ms72×body1280valid
13.0ms343×body80valid
12.0ms72×body640valid
4.0ms32×body320valid
1.0ms15×body160valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55174
614554
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (sinh y))
12.6b
(/ (* (sin x) (sinh y)) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh y)
15.0ms
(* (sin x) (sinh y))
14.0ms
(/ (* (sin x) (sinh y)) x)

series219.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(sinh y)
77.0ms
(* (sin x) (sinh y))
88.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune118.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1
associate-*l*
prod-exp cbrt-unprod add-log-exp unswap-sqr
cbrt-undiv sinh-def associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
2 → 40
Calls
2 calls:
1.0ms
(sinh y)
17.0ms
(* (sin x) (/ (sinh y) x))

series141.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(sinh y)
85.0ms
(* (sin x) (/ (sinh y) x))

simplify34.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0271276
11124241
25001232

prune95.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.8b
(/ (sin x) (/ x (sinh y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 add-log-exp
frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
5.0ms
(/ x (sinh y))
1.0ms
(sinh y)
16.0ms
(/ (sin x) (/ x (sinh y)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(/ x (sinh y))
55.0ms
(sinh y)
89.0ms
(/ (sin x) (/ x (sinh y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0475938
11984886
25001865

prune274.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (/ (sin x) x) (sinh y))
0.1b
(/ (sin x) x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
pow1
sinh-def associate-*r* associate-/r* associate-/l* add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
1.0ms
(sinh y)
18.0ms
(* (/ (sin x) x) (sinh y))
8.0ms
(/ (sin x) x)

series170.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(sinh y)
87.0ms
(* (/ (sin x) x) (sinh y))
29.0ms
(/ (sin x) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0311427
11229381
25001358

prune158.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample1.9s

Algorithm
intervals
Results
538.0ms1967×body1280valid
382.0ms10321×body80valid
345.0ms1967×body640valid
127.0ms1099×body320valid
51.0ms628×body160valid