Details

Time bar (total: 4.8s)

sample66.0ms

Algorithm
intervals
Results
24.0ms84×body1280valid
15.0ms76×body640valid
8.0ms237×body80valid
5.0ms50×body320valid
2.0ms20×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
54924
613904
748564
850014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)

rewrite10.0ms

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:
8.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series168.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* (cos x) (/ (sinh y) y))
62.0ms
(sinh y)

simplify46.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0272274
11126241
25001223

prune93.0ms

Filtered
46 candidates to 34 candidates (73.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite28.0ms

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:
3.0ms
(sqrt (/ (sinh y) y))
0.0ms
(sinh y)
0.0ms
(sinh y)
23.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(sqrt (/ (sinh y) y))
59.0ms
(sinh y)
57.0ms
(sinh y)
112.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0767865
13298744
25001738

prune262.0ms

Filtered
87 candidates to 71 candidates (81.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
29×sqrt-prod
19×associate-*r*
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log times-frac add-cbrt-cube
6×sqrt-div
4×add-log-exp
3×sinh-def associate-*r/ pow-prod-down prod-exp cbrt-unprod
1×frac-times associate-*l* associate-*l/ *-commutative div-inv
Counts
4 → 61
Calls
4 calls:
0.0ms
(sinh y)
0.0ms
(sinh y)
0.0ms
(sinh y)
26.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sinh y)
62.0ms
(sinh y)
60.0ms
(sinh y)
375.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))

simplify39.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010861045
15001958

prune345.0ms

Filtered
73 candidates to 61 candidates (83.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (* 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))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity associate-*r*
16×add-exp-log
10×add-cbrt-cube
9×times-frac add-log-exp
8×unpow-prod-down
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sqr-pow
3×associate-/r* sum-log associate-/l*
2×pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+ associate-/l/
1×cbrt-undiv +-commutative cube-mult associate-+r+ frac-2neg unpow3 div-exp clear-num div-inv
Counts
4 → 98
Calls
4 calls:
33.0ms
(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
10.0ms
(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
5.0ms
(* 1/120 (pow y 5))
7.0ms
(* 1/6 (pow y 3))

series231.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
64.0ms
(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
51.0ms
(* 1/120 (pow y 5))
36.0ms
(* 1/6 (pow y 3))

simplify62.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0393727
11861670
25001670

prune266.0ms

Filtered
110 candidates to 74 candidates (67.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

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
01315
11315

end0.0ms

sample2.0s

Algorithm
intervals
Results
793.0ms2907×body1280valid
400.0ms2482×body640valid
305.0ms8414×body80valid
139.0ms1204×body320valid
46.0ms602×body160valid