Details

Time bar (total: 3.4s)

analyze271.0ms

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
0%99.9%0.1%5
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14

sample63.0ms

Algorithm
intervals
Results
26.0ms56×body1280valid
11.0ms39×body640valid
10.0ms138×body80valid
4.0ms21×body320valid
0.0msbody160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
5.0ms
(+ (* x (cos y)) (* z (sin y)))
8.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series33.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (* x (cos y)) (* z (sin y)))
9.0ms
(* z (sin y))
8.0ms
(* x (cos y))

simplify69.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05163392

prune96.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
7.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series84.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05025459

prune101.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh178
Picked011
Done000
Total85994

Merged error: 0.0b

Counts
94 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
unpow-prod-down associate-*r* add-cbrt-cube
add-log-exp
pow-unpow pow-prod-down prod-exp cbrt-unprod
pow1/3 unpow2 sqr-pow
pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
8.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
2.0ms
(cbrt (cos y))

series57.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
4.0ms
(pow (cos y) 2)
27.0ms
(cbrt (pow (cos y) 2))
18.0ms
(cbrt (cos y))

simplify49.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04905521
14905521

prune116.0ms

Filtered
50 candidates to 78 candidates (-56.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh077
Picked011
Done011
Total78987

Merged error: 0.0b

Counts
87 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0b
(cbrt (* z (sin y)))
9.0b
(cbrt (* z (sin y)))
9.0b
(cbrt (* z (sin y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
6.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
25.0ms
(cbrt (* z (sin y)))
26.0ms
(cbrt (* z (sin y)))
26.0ms
(cbrt (* z (sin y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05014447

prune73.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh066
Picked101
Done022
Total70979

Merged error: 0.0b

Counts
79 → 9

regimes221.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01716
11716

end0.0ms

sample1.8s

Algorithm
intervals
Results
725.0ms1542×body1280valid
372.0ms1266×body640valid
296.0ms4284×body80valid
117.0ms609×body320valid
46.0ms299×body160valid

Profiling

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