Details

Time bar (total: 3.5s)

sample73.0ms

Algorithm
intervals
Results
31.0ms97×body1280valid
12.0ms70×body640valid
11.0ms255×body80valid
4.0ms35×body320valid
2.0ms19×body160valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
sinh-def frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 64
Calls
2 calls:
4.0ms
(/ (sinh y) y)
7.0ms
(* (sin x) (/ (sinh y) y))

series183.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ (sinh y) y)
99.0ms
(* (sin x) (/ (sinh y) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0316404
11284360
25001358

prune165.0ms

Filtered
70 candidates to 55 candidates (78.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh000
Picked101
Done000
Total69271

Merged error: 0b

Counts
71 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l* fma-udef
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
1.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
4.0ms
(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
119.0ms
(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify108.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0143289
1652247
23764247
35001246

prune95.0ms

Filtered
38 candidates to 27 candidates (71.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New38038
Fresh011
Picked011
Done000
Total38240

Merged error: 0b

Counts
40 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sin x) (sinh y))
14.5b
(* (* (sin x) (sinh y)) (/ 1 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×associate-*r* add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt *-un-lft-identity
pow1 times-frac
cbrt-unprod
associate-*r/ div-exp associate-*l* pow-prod-down
sinh-def
cbrt-undiv expm1-log1p-u rec-exp 1-exp *-commutative log1p-expm1-u add-log-exp
frac-times associate-*l/ un-div-inv div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
4.0ms
(* (sin x) (sinh y))
9.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

series178.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (sin x) (sinh y))
96.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

simplify51.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0407451
12045369
25001338

prune114.0ms

Filtered
69 candidates to 44 candidates (63.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done011
Total69271

Merged error: 0b

Counts
71 → 2

regimes46.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample2.2s

Algorithm
intervals
Results
882.0ms3054×body1280valid
449.0ms2498×body640valid
360.0ms8421×body80valid
149.0ms1207×body320valid
57.0ms617×body160valid

Profiling

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