Details

Time bar (total: 4.8s)

sample78.0ms

Algorithm
intervals
Results
32.0ms111×body1280valid
13.0ms76×body640valid
9.0ms249×body80valid
6.0ms23×body160valid
5.0ms42×body320valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(sinh y)
0.0b
(* (cos x) (/ (sinh y) 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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv sinh-def associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
2 → 44
Calls
2 calls:
1.0ms
(sinh y)
8.0ms
(* (cos x) (/ (sinh y) y))

series155.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(sinh y)
92.0ms
(* (cos x) (/ (sinh y) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0281286
11153252
25001234

prune107.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*r*
28×add-sqr-sqrt sqrt-prod
21×add-cube-cbrt *-un-lft-identity
19×times-frac
11×pow1 add-exp-log add-cbrt-cube
5×sqrt-div
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×sinh-def *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 92
Calls
4 calls:
0.0ms
(sinh y)
1.0ms
(sinh y)
13.0ms
(* (cos x) (sqrt (/ (sinh y) y)))
22.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(sinh y)
61.0ms
(sinh y)
174.0ms
(* (cos x) (sqrt (/ (sinh y) y)))
113.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify114.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
09151063
14408928
25001897

prune319.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

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×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u 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 → 55
Calls
3 calls:
0.0ms
(sinh y)
4.0ms
(* (cos x) (sinh y))
4.0ms
(/ (* (cos x) (sinh y)) y)

series266.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(sinh y)
77.0ms
(* (cos x) (sinh y))
92.0ms
(/ (* (cos x) (sinh y)) y)

simplify55.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0279337
11212289
25001271

prune149.0ms

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 83
Calls
4 calls:
2.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)
0.0ms
(fma 1/120 (pow y 5) y)
7.0ms
(* (cos x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))
0.0ms
(fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y))

series432.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)
105.0ms
(fma 1/120 (pow y 5) y)
199.0ms
(* (cos x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))
52.0ms
(fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0287760
11289678
25002674

prune281.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

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
0109
1109

end0.0ms

sample2.1s

Algorithm
intervals
Results
857.0ms3057×body1280valid
403.0ms2362×body640valid
337.0ms8562×body80valid
138.0ms1177×body320valid
51.0ms620×body160valid