Details

Time bar (total: 6.2s)

sample99.0ms

Algorithm
intervals
Results
36.0ms87×body1280valid
20.0ms295×body80valid
17.0ms75×body640valid
7.0ms38×body320valid
3.0ms29×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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(* (cos x) (/ (sinh y) y))
0.0b
(/ (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×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:
0.0ms
(sinh y)
8.0ms
(* (cos x) (/ (sinh y) y))
3.0ms
(/ (sinh y) y)

series236.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
89.0ms
(* (cos x) (/ (sinh y) y))
86.0ms
(/ (sinh y) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0339443
11326398
25001396

prune190.0ms

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
79×sqrt-prod
70×times-frac
59×add-cube-cbrt *-un-lft-identity
20×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
7×div-inv
6×associate-/r* associate-/l*
5×sqrt-div pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv sinh-def rem-sqrt-square frac-2neg div-exp clear-num associate-/l/
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 176
Calls
4 calls:
2.0ms
(sqrt (/ (sinh y) y))
2.0ms
(/ (sinh y) y)
2.0ms
(/ (sinh y) y)
22.0ms
(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (/ (sinh y) y))
83.0ms
(/ (sinh y) y)
85.0ms
(/ (sinh y) y)
83.0ms
(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07111305
131011192
250011163

prune489.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
210×sqrt-prod
126×add-sqr-sqrt
85×sqrt-pow1
74×times-frac
67×pow1
62×add-cube-cbrt *-un-lft-identity
45×pow1/2
39×pow-prod-up
35×associate-*l*
30×sqrt-div
27×swap-sqr
20×associate-*r*
19×unswap-sqr
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube
7×div-inv
6×frac-times associate-*r/
4×expm1-log1p-u rem-sqrt-square associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 237
Calls
4 calls:
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
28.0ms
(* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
48.0ms
(* (sqrt (/ (sinh y) y)) (* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))))

series319.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (/ (sinh y) y))
76.0ms
(sqrt (/ (sinh y) y))
78.0ms
(* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
90.0ms
(* (sqrt (/ (sinh y) y)) (* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))))

simplify117.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08952168
136771912
250011853

prune695.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0b
(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
0.0b
(fma 1/120 (pow y 4) 1)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×fma-udef
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
0.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
3.0ms
(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
0.0ms
(fma 1/120 (pow y 4) 1)

series235.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
114.0ms
(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
82.0ms
(fma 1/120 (pow y 4) 1)

simplify106.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0140332
1633285
23615285
35001285

prune141.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

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

sample2.8s

Algorithm
intervals
Results
1.0s3043×body1280valid
664.0ms8444×body80valid
528.0ms2453×body640valid
186.0ms1229×body320valid
71.0ms609×body160valid