Details

Time bar (total: 3.4s)

analyze260.0ms

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

sample59.0ms

Algorithm
intervals
Results
23.0ms52×body1280valid
10.0ms36×body640valid
9.0ms140×body80valid
4.0ms22×body320valid
1.0msbody160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01589
11589

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

rewrite14.0ms

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
sub-neg flip3-- diff-log flip--
Counts
3 → 47
Calls
3 calls:
4.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* x (cos y))
5.0ms
(* z (sin y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- (* x (cos y)) (* z (sin y)))
7.0ms
(* x (cos y))
8.0ms
(* z (sin y))

simplify45.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04868397
14868397

prune97.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New461056
Fresh000
Picked101
Done000
Total471057

Merged error: 0.0b

Counts
57 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.8b
(cbrt (* z (sin y)))
8.8b
(cbrt (* z (sin y)))
8.8b
(cbrt (* z (sin y)))

rewrite18.0ms

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:
8.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series112.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
25.0ms
(cbrt (* z (sin y)))
26.0ms
(cbrt (* z (sin y)))
25.0ms
(cbrt (* z (sin y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05014447

prune105.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh099
Picked011
Done000
Total691180

Merged error: 0.0b

Counts
80 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
8.8b
(cbrt (* z (sin y)))
8.8b
(cbrt (* z (sin y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt z)
19.0ms
(cbrt (sin y))
25.0ms
(cbrt (* z (sin y)))
26.0ms
(cbrt (* z (sin y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04907280
14907280

prune86.0ms

Filtered
40 candidates to 52 candidates (-30.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh099
Picked011
Done011
Total521163

Merged error: 0.0b

Counts
63 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite11.0ms

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:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series97.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt z) (cbrt z))
23.0ms
(cbrt z)
23.0ms
(cbrt z)
25.0ms
(cbrt z)

simplify51.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05165356

prune74.0ms

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

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done022
Total851196

Merged error: 0.0b

Counts
96 → 11

regimes330.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06823
16823

end0.0ms

sample1.7s

Algorithm
intervals
Results
698.0ms1514×body1280valid
363.0ms1262×body640valid
287.0ms4261×body80valid
121.0ms621×body320valid
56.0ms342×body160valid

Profiling

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