Details

Time bar (total: 3.5s)

analyze335.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14

sample56.0ms

Algorithm
intervals
Results
10.0ms34×body1280invalid
9.0ms200×body80valid
7.0ms39×body640invalid
4.0ms13×body1280valid
4.0ms22×body640valid
3.0ms20×body320invalid
1.0ms11×body320valid
1.0ms23×body80invalid
1.0ms10×body160invalid
1.0ms10×body160valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
051587

prune19.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sinh y) x)
0.2b
(* (sin x) (/ (sinh y) x))

rewrite20.0ms

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 div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×sinh-def frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 60
Calls
2 calls:
6.0ms
(/ (sinh y) x)
11.0ms
(* (sin x) (/ (sinh y) x))

series55.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (sinh y) x)
36.0ms
(* (sin x) (/ (sinh y) x))

simplify45.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04985542
14985542

prune88.0ms

Filtered
48 candidates to 66 candidates (-37.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New61566
Fresh101
Picked011
Done000
Total62668

Merged error: 0.0b

Counts
68 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin x)) (cbrt (sin x)))
0.5b
(cbrt (sin x))
0.5b
(cbrt (sin x))
0.5b
(cbrt (sin x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
7.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))

series135.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
31.0ms
(cbrt (sin x))
30.0ms
(cbrt (sin x))
30.0ms
(cbrt (sin x))

simplify76.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05025482

prune99.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh044
Picked011
Done011
Total84791

Merged error: 0b

Counts
91 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series94.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05501356

prune96.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sinh y)) (cbrt (sinh y)))
0.7b
(cbrt (sinh y))
0.7b
(cbrt (sinh y))
0.7b
(cbrt (sinh y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
7×sinh-def cbrt-div
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 79
Calls
4 calls:
6.0ms
(* (cbrt (sinh y)) (cbrt (sinh y)))
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
2.0ms
(cbrt (sinh y))

series116.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (cbrt (sinh y)) (cbrt (sinh y)))
27.0ms
(cbrt (sinh y))
28.0ms
(cbrt (sinh y))
27.0ms
(cbrt (sinh y))

simplify56.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04853554
14853554

prune88.0ms

Filtered
61 candidates to 91 candidates (-49.2%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New91091
Fresh033
Picked011
Done033
Total91798

Merged error: 0b

Counts
98 → 7

regimes170.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0257
1257

end0.0ms

sample1.8s

Algorithm
intervals
Results
430.0ms1418×body1280invalid
289.0ms6120×body80valid
247.0ms1210×body640invalid
158.0ms747×body640valid
128.0ms358×body1280valid
92.0ms600×body320invalid
75.0ms519×body320valid
33.0ms556×body80invalid
32.0ms318×body160invalid
31.0ms256×body160valid

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