Details

Time bar (total: 4.8s)

sample61.0ms

Algorithm
intervals
Results
17.0ms64×body1280valid
12.0ms74×body640valid
12.0ms325×body80valid
3.0ms25×body320valid
1.0ms16×body160valid

simplify45.0ms

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: 17.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
17.1b
(/ (* (sin x) (sinh y)) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
4.0ms
(sinh y)
11.0ms
(* (sin x) (sinh y))
13.0ms
(/ (* (sin x) (sinh y)) x)

series211.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(sinh y)
70.0ms
(* (sin x) (sinh y))
84.0ms
(/ (* (sin x) (sinh y)) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0280320
11233272
25001255

prune140.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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×associate-*l* associate-/r* 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 → 68
Calls
3 calls:
6.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
19.0ms
(* (sin x) (/ (sinh y) x))

series204.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (sinh y) x)
56.0ms
(sinh y)
85.0ms
(* (sin x) (/ (sinh y) x))

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0328433
11261387
25001385

prune172.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
5.0ms
(/ x (sinh y))
1.0ms
(sinh y)
13.0ms
(/ (sin x) (/ x (sinh y)))

series245.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(/ x (sinh y))
57.0ms
(sinh y)
88.0ms
(/ (sin x) (/ x (sinh y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0475938
11984886
25001865

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
1.3b
(/ (cbrt (sin x)) (/ (cbrt x) (sinh y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
264×times-frac
146×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×cbrt-prod
23×associate-/r*
9×add-exp-log
8×associate-/r/ div-inv
7×sinh-def
6×add-cbrt-cube associate-/l*
4×pow1 add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num
Counts
4 → 215
Calls
4 calls:
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
19.0ms
(/ (cbrt (sin x)) (/ (cbrt x) (sinh y)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (sin x))
101.0ms
(cbrt (sin x))
92.0ms
(cbrt (sin x))
140.0ms
(/ (cbrt (sin x)) (/ (cbrt x) (sinh y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07792881
134322825
250012746

prune678.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample1.8s

Algorithm
intervals
Results
499.0ms1807×body1280valid
389.0ms10340×body80valid
362.0ms1974×body640valid
130.0ms1107×body320valid
52.0ms608×body160valid