Details

Time bar (total: 4.2s)

sample66.0ms

Algorithm
intervals
Results
26.0ms97×body1280valid
11.0ms69×body640valid
10.0ms277×body80valid
3.0ms28×body320valid
1.0ms18×body160valid

simplify76.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l*
2×prod-exp cbrt-unprod add-log-exp unswap-sqr
1×cbrt-undiv sinh-def associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
2 → 40
Calls
2 calls:
16.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series157.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(* (cos x) (/ (sinh y) y))
61.0ms
(sinh y)

simplify35.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0272274
11126241
25001223

prune91.0ms

Pruning

3 alts after pruning (2 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
(sinh y)
0.0b
(sinh y)
0.0b
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-prod
22×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
16×associate-*r*
10×pow1
9×add-exp-log add-cbrt-cube
5×sqrt-div
4×add-log-exp
3×associate-*r/ pow-prod-down prod-exp cbrt-unprod
2×sinh-def rem-sqrt-square div-inv
1×frac-times sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 75
Calls
4 calls:
4.0ms
(sqrt (/ (sinh y) y))
1.0ms
(sinh y)
1.0ms
(sinh y)
47.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series329.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (/ (sinh y) y))
64.0ms
(sinh y)
62.0ms
(sinh y)
120.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0767865
13298744
25001738

prune286.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
0.0b
(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
0.0b
(* 1/120 (pow y 5))
0.1b
(* 1/6 (pow y 3))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×associate-*r*
19×add-exp-log add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
10×times-frac
9×associate-*l* add-log-exp unswap-sqr
8×unpow-prod-down prod-exp
6×pow1
4×cube-prod cbrt-unprod sqr-pow
3×sum-log *-commutative
2×pow-to-exp pow-exp
1×cbrt-undiv +-commutative cube-mult associate-+r+ flip3-+ unpow3 associate-*r/ div-exp pow-prod-down flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
78.0ms
(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
25.0ms
(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
11.0ms
(* 1/120 (pow y 5))
13.0ms
(* 1/6 (pow y 3))

series353.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
59.0ms
(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
53.0ms
(* 1/120 (pow y 5))
37.0ms
(* 1/6 (pow y 3))

simplify73.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0494788
12584701
25002701

prune273.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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

sample2.1s

Algorithm
intervals
Results
773.0ms2919×body1280valid
394.0ms2480×body640valid
301.0ms8663×body80valid
136.0ms1210×body320valid
50.0ms625×body160valid