Details

Time bar (total: 3.6s)

analyze257.0ms

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

sample61.0ms

Algorithm
intervals
Results
24.0ms56×body1280valid
10.0ms36×body640valid
9.0ms133×body80valid
5.0ms27×body320valid
1.0msbody160valid

simplify8.0ms

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: 0.2b

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))

rewrite13.0ms

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))
4.0ms
(* z (sin y))

series255.0ms

Counts
3 → 9
Calls
3 calls:
240.0ms
(- (* 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 (39.0ms)

IterNodesCost
04868397
14868397

prune94.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (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:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series81.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05025459

prune98.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done000
Total85994

Merged error: 0.0b

Counts
94 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.6b
(cbrt (* z (sin y)))
6.6b
(cbrt (* z (sin y)))
6.6b
(cbrt (* z (sin y)))

rewrite16.0ms

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

series114.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
25.0ms
(cbrt (* z (sin y)))
25.0ms
(cbrt (* z (sin y)))
27.0ms
(cbrt (* z (sin y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05014447

prune89.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh347
Picked101
Done011
Total73679

Merged error: 0.0b

Counts
79 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
6.6b
(cbrt (* z (sin y)))
6.6b
(cbrt (* z (sin y)))

rewrite10.0ms

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)
2.0ms
(cbrt (sin y))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
18.0ms
(cbrt (sin y))
24.0ms
(cbrt (* z (sin y)))
28.0ms
(cbrt (* z (sin y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04907280
14907280

prune52.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh044
Picked011
Done011
Total51758

Merged error: 0b

Counts
58 → 7

regimes264.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04018
14018

end0.0ms

sample1.8s

Algorithm
intervals
Results
735.0ms1594×body1280valid
371.0ms1269×body640valid
282.0ms4234×body80valid
125.0ms611×body320valid
39.0ms292×body160valid

Profiling

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