Details

Time bar (total: 7.7s)

sample92.0ms

Algorithm
intervals
Results
32.0ms86×body1280valid
21.0ms80×body640valid
15.0ms258×body80valid
7.0ms39×body320valid
3.0ms24×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
54924
613904
748564
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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

series246.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (sinh y) y)
61.0ms
(sinh y)
97.0ms
(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0333428
11323384
25001382

prune166.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-div
13×pow1 add-exp-log
10×associate-*r/
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×frac-times associate-*l/
4×add-log-exp
3×pow1/3 associate-*l* div-inv
1×associate-*r* *-commutative
Counts
4 → 94
Calls
4 calls:
74.0ms
(* (sin x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))
1.0ms
(cbrt (/ (sinh y) y))
1.0ms
(cbrt (/ (sinh y) y))
2.0ms
(cbrt (/ (sinh y) y))

series729.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (sin x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))
208.0ms
(cbrt (/ (sinh y) y))
205.0ms
(cbrt (/ (sinh y) y))
206.0ms
(cbrt (/ (sinh y) y))

simplify127.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
03721038
11075929
24445834
35001772

prune299.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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×rem-sqrt-square associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×frac-times associate-*l/
Counts
4 → 118
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
22.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
14.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (/ (sinh y) y))
83.0ms
(sqrt (/ (sinh y) y))
127.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
188.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010541540
150011346

prune444.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
119×add-sqr-sqrt
111×sqrt-prod
108×cbrt-prod
73×times-frac
65×add-cube-cbrt *-un-lft-identity
54×associate-*r*
38×sqrt-div
32×pow1
28×cbrt-div
26×add-exp-log
23×associate-*l*
21×associate-*r/ swap-sqr
19×unswap-sqr
18×frac-times
16×pow-prod-down
15×prod-exp add-cbrt-cube cbrt-unprod
14×associate-*l/
7×div-inv
6×pow1/3
4×add-log-exp
3×*-commutative
2×rem-sqrt-square pow-sqr pow-prod-up
1×pow2 sqrt-pow1 pow-plus pow1/2
Counts
4 → 213
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
11.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
24.0ms
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
151.0ms
(* (* (* (sin x) (sqrt (/ (sinh y) y))) (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))) (cbrt (sqrt (/ (sinh y) y))))

series695.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(sqrt (/ (sinh y) y))
191.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
292.0ms
(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))
127.0ms
(* (* (* (sin x) (sqrt (/ (sinh y) y))) (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))) (cbrt (sqrt (/ (sinh y) y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
019494378
150014108

prune816.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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
01113
11113

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s2965×body1280valid
627.0ms2515×body640valid
503.0ms8472×body80valid
204.0ms1144×body320valid
78.0ms612×body160valid