Details

Time bar (total: 4.2s)

sample71.0ms

Algorithm
intervals
Results
28.0ms105×body1280valid
13.0ms83×body640valid
10.0ms290×body80valid
5.0ms46×body320valid
1.0ms17×body160valid

simplify43.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(* (cos x) (/ (sinh y) y))
0.0b
(sinh 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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
2.0ms
(/ (sinh y) y)
8.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series293.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(/ (sinh y) y)
112.0ms
(* (cos x) (/ (sinh y) y))
61.0ms
(sinh y)

simplify62.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0339443
11326398
25001396

prune206.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ (sinh y) y) 3))
0.0b
(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b
(sinh y)
0.0b
(pow (/ (sinh y) y) 3)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-prod
66×add-sqr-sqrt
56×times-frac
51×add-cube-cbrt *-un-lft-identity
41×unpow-prod-down cube-prod
35×associate-*r*
9×add-exp-log
8×add-cbrt-cube
7×pow1 unswap-sqr
6×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*l*
2×cbrt-div pow-exp rem-cube-cbrt
1×cbrt-undiv pow-to-exp sinh-def pow-pow pow1/3 associate-*r/ div-exp pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
4 → 161
Calls
4 calls:
4.0ms
(cbrt (pow (/ (sinh y) y) 3))
24.0ms
(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
0.0ms
(sinh y)
4.0ms
(pow (/ (sinh y) y) 3)

series381.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (pow (/ (sinh y) y) 3))
101.0ms
(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
61.0ms
(sinh y)
121.0ms
(pow (/ (sinh y) y) 3)

simplify85.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06001079
12803976
25001955

prune434.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (cos x) (sinh y))
0.1b
(/ (* (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))
5.0ms
(/ (* (cos x) (sinh y)) y)

series228.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
79.0ms
(* (cos x) (sinh y))
88.0ms
(/ (* (cos x) (sinh y)) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0279337
11212289
25001271

prune143.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106
1106

end0.0ms

sample2.1s

Algorithm
intervals
Results
820.0ms3042×body1280valid
422.0ms2496×body640valid
319.0ms8745×body80valid
133.0ms1144×body320valid
49.0ms621×body160valid