Details

Time bar (total: 6.0s)

sample58.0ms

Algorithm
intervals
Results
23.0ms47×body1280valid
11.0ms40×body640valid
8.0ms137×body80valid
4.0ms21×body320valid
1.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(* z (cos y))
4.0ms
(* x (sin y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* z (cos y))
37.0ms
(* x (sin y))

simplify94.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0118145
1439125
21037125
31579125
43660125
55002125

prune101.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New34842
Fresh000
Picked101
Done000
Total35843

Merged error: 0.0b

Counts
43 → 8

localize17.0ms

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)

series734.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt x) (cbrt x))
183.0ms
(cbrt x)
178.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune249.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh077
Picked101
Done000
Total831093

Merged error: 0.0b

Counts
93 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
177.0ms
(cbrt x)
241.0ms
(cbrt (cbrt x))
463.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify107.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (103.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune218.0ms

Filtered
57 candidates to 50 candidates (87.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh099
Picked011
Done000
Total571067

Merged error: 0.0b

Counts
67 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series990.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
273.0ms
(cbrt (* (cbrt x) (cbrt x)))
266.0ms
(cbrt (* (cbrt x) (cbrt x)))
273.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify88.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 4 (84.0ms)

IterNodesCost
078228
1168198
2559184
32334184
45003183

prune182.0ms

Filtered
50 candidates to 48 candidates (96.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh088
Picked011
Done011
Total501060

Merged error: 0.0b

Counts
60 → 10

regimes125.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01916
11916

end0.0ms

sample1.7s

Algorithm
intervals
Results
670.0ms1517×body1280valid
370.0ms1270×body640valid
262.0ms4266×body80valid
123.0ms623×body320valid
43.0ms324×body160valid

Profiling

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