Details

Time bar (total: 3.8s)

sample84.0ms

Algorithm
intervals
Results
30.0ms100×body1280valid
15.0ms84×body640valid
12.0ms254×body80valid
5.0ms36×body320valid
2.0ms24×body160valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049097
149097

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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×associate-*l* associate-/r* 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 → 68
Calls
3 calls:
7.0ms
(* (cos x) (/ (sinh y) y))
4.0ms
(/ (sinh y) y)
1.0ms
(sinh y)

series45.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (cos x) (/ (sinh y) y))
12.0ms
(/ (sinh y) y)
10.0ms
(sinh y)

simplify72.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04929621
14929621

prune84.0ms

Filtered
63 candidates to 77 candidates (-22.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New74377
Fresh000
Picked101
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) y)
0.0b
(cbrt (pow (/ (sinh y) y) 3))
0.0b
(pow (/ (sinh y) y) 3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
5×pow1 div-inv
4×add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult sinh-def unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube associate-/l/
Counts
4 → 124
Calls
4 calls:
1.0ms
(sinh y)
4.0ms
(/ (sinh y) y)
5.0ms
(cbrt (pow (/ (sinh y) y) 3))
5.0ms
(pow (/ (sinh y) y) 3)

series57.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sinh y)
12.0ms
(/ (sinh y) y)
14.0ms
(cbrt (pow (/ (sinh y) y) 3))
20.0ms
(pow (/ (sinh y) y) 3)

simplify38.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
053861156

prune137.0ms

Filtered
81 candidates to 136 candidates (-67.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done000
Total1363139

Merged error: 0b

Counts
139 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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×sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh y)
5.0ms
(* (sinh y) (cos x))
5.0ms
(/ (* (sinh y) (cos x)) y)

series43.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
16.0ms
(* (sinh y) (cos x))
19.0ms
(/ (* (sinh y) (cos x)) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05809441

prune57.0ms

Filtered
45 candidates to 58 candidates (-28.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done011
Total58361

Merged error: 0b

Counts
61 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (cbrt (pow (sinh y) 3)) y)
0.0b
(pow (sinh y) 3)
39.6b
(cbrt (pow (sinh y) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×unpow-prod-down cube-prod
15×associate-/l*
7×add-exp-log
6×cube-mult unpow3 add-cbrt-cube sqr-pow
5×pow1
4×sinh-def add-log-exp
3×cube-div pow-unpow associate-/r*
2×cbrt-div
1×cbrt-undiv pow-to-exp pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num rem-cbrt-cube div-inv associate-/l/ rem-cube-cbrt
Counts
4 → 130
Calls
4 calls:
1.0ms
(sinh y)
7.0ms
(/ (cbrt (pow (sinh y) 3)) y)
3.0ms
(pow (sinh y) 3)
3.0ms
(cbrt (pow (sinh y) 3))

series44.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sinh y)
12.0ms
(/ (cbrt (pow (sinh y) 3)) y)
15.0ms
(pow (sinh y) 3)
9.0ms
(cbrt (pow (sinh y) 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
051601103

prune128.0ms

Filtered
82 candidates to 142 candidates (-73.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done022
Total1423145

Merged error: 0b

Counts
145 → 3

regimes149.0ms

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 (1.0ms)

IterNodesCost
01010
11010

end0.0ms

sample2.5s

Algorithm
intervals
Results
939.0ms3039×body1280valid
476.0ms2523×body640valid
379.0ms8667×body80valid
163.0ms1246×body320valid
61.0ms631×body160valid

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