Details

Time bar (total: 4.6s)

sample97.0ms

Algorithm
intervals
Results
27.0ms56×body1280valid
21.0ms313×body80valid
18.0ms57×body640valid
7.0ms32×body320valid
3.0ms18×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1324
2684
31464
42924
55564
615434
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: 14.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sin x) (sinh y))
14.1b
(/ (* (sin x) (sinh y)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sinh-def associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 45
Calls
2 calls:
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series184.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(* (sin x) (sinh y))
97.0ms
(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0271298
11234252
25001234

prune108.0ms

Filtered
51 candidates to 37 candidates (72.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New44751
Fresh000
Picked101
Done000
Total45752

Merged error: 0.0b

Counts
52 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sinh y) x)
0.1b
(* (sin x) (/ (sinh y) x))

rewrite13.0ms

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

series170.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ (sinh y) x)
95.0ms
(* (sin x) (/ (sinh y) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0322408
11272363
25001361

prune135.0ms

Filtered
70 candidates to 55 candidates (78.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh066
Picked011
Done000
Total69877

Merged error: 0b

Counts
77 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (sinh y))
0.6b
(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
9×add-exp-log add-cbrt-cube
6×associate-/r/ div-inv associate-/l*
5×sinh-def
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 106
Calls
2 calls:
3.0ms
(/ x (sinh y))
6.0ms
(/ (sin x) (/ x (sinh y)))

series245.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(/ x (sinh y))
120.0ms
(/ (sin x) (/ x (sinh y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0465914
11976864
25001843

prune224.0ms

Filtered
112 candidates to 93 candidates (83.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1102112
Fresh426
Picked011
Done011
Total1146120

Merged error: 0b

Counts
120 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 1 (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y)))))
15.5b
(cbrt (/ x (sinh y)))
15.5b
(cbrt (/ x (sinh y)))
15.5b
(cbrt (/ x (sinh y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
30×times-frac
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×add-exp-log
12×pow1
9×pow-flip pow1/3
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
3×sinh-def prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times frac-2neg pow-plus associate-*r/ associate-*l/ clear-num associate-/r* cbrt-unprod inv-pow
Counts
4 → 115
Calls
4 calls:
10.0ms
(/ 1 (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y)))))
3.0ms
(cbrt (/ x (sinh y)))
3.0ms
(cbrt (/ x (sinh y)))
3.0ms
(cbrt (/ x (sinh y)))

series867.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(/ 1 (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y)))))
206.0ms
(cbrt (/ x (sinh y)))
245.0ms
(cbrt (/ x (sinh y)))
199.0ms
(cbrt (/ x (sinh y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0367998
11103911
25001856

prune339.0ms

Filtered
127 candidates to 99 candidates (78.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done022
Total1276133

Merged error: 0b

Counts
133 → 6

regimes74.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample1.8s

Algorithm
intervals
Results
525.0ms1843×body1280valid
412.0ms10247×body80valid
387.0ms2011×body640valid
137.0ms1100×body320valid
54.0ms597×body160valid

Profiling

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