Details

Time bar (total: 3.3s)

analyze344.0ms

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

sample55.0ms

Algorithm
intervals
Results
8.0ms191×body80valid
4.0ms13×body1280valid
3.0ms23×body320valid
3.0ms15×body640valid
1.0ms14×body160valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049707
149707

prune11.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

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×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:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series42.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
14.0ms
(/ (sinh y) x)
20.0ms
(* (sin x) (/ (sinh y) x))

simplify55.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04929627
14929627

prune95.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New71677
Fresh011
Picked011
Done000
Total71879

Merged error: 0.0b

Counts
79 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sin x)) (cbrt (sin x)))
0.7b
(cbrt (sin x))
0.7b
(cbrt (sin x))
0.7b
(cbrt (sin x))

rewrite12.0ms

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:
6.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))

series80.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
18.0ms
(cbrt (sin x))
18.0ms
(cbrt (sin x))
20.0ms
(cbrt (sin x))

simplify50.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04955490
14955490

prune86.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done011
Total85893

Merged error: 0.0b

Counts
93 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
9.0b
(* (* (sin x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ (cbrt (sinh y)) x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
11×sinh-def cbrt-div
9×associate-*r/
6×pow-prod-down
5×frac-times associate-*l/
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
14.0ms
(* (* (sin x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ (cbrt (sinh y)) x))

series106.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (sinh y))
28.0ms
(cbrt (sinh y))
30.0ms
(cbrt (sinh y))
20.0ms
(* (* (sin x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ (cbrt (sinh y)) x))

simplify55.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04997998
14997998

prune99.0ms

Filtered
67 candidates to 101 candidates (-50.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh055
Picked101
Done022
Total1018109

Merged error: 0b

Counts
109 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
13.1b
(* (* (sin x) (* (pow (cbrt (sinh y)) 2) (* (cbrt (cbrt (sinh y))) (cbrt (cbrt (sinh y)))))) (/ (cbrt (cbrt (sinh y))) x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
72×add-exp-log
48×prod-exp
36×cbrt-prod
31×associate-*r*
28×add-cbrt-cube
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
19×cbrt-div
15×associate-*r/
11×sinh-def
9×pow1
8×div-exp
5×frac-times associate-*l/
4×cbrt-undiv pow-to-exp pow-exp add-log-exp
3×pow1/3 pow-prod-down
1×associate-*l* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
26.0ms
(* (* (sin x) (* (pow (cbrt (sinh y)) 2) (* (cbrt (cbrt (sinh y))) (cbrt (cbrt (sinh y)))))) (/ (cbrt (cbrt (sinh y))) x))

series106.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (sinh y))
28.0ms
(cbrt (sinh y))
27.0ms
(cbrt (sinh y))
20.0ms
(* (* (sin x) (* (pow (cbrt (sinh y)) 2) (* (cbrt (cbrt (sinh y))) (cbrt (cbrt (sinh y)))))) (/ (cbrt (cbrt (sinh y))) x))

simplify76.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050081311

prune101.0ms

Filtered
67 candidates to 121 candidates (-80.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh055
Picked011
Done022
Total1218129

Merged error: 0b

Counts
129 → 8

regimes238.0ms

Accuracy

0% (0.1b 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
077
177

end0.0ms

sample1.5s

Algorithm
intervals
Results
246.0ms6096×body80valid
146.0ms732×body640valid
124.0ms367×body1280valid
64.0ms503×body320valid
27.0ms302×body160valid

Profiling

Loading profile data...