Details

Time bar (total: 6.6s)

sample57.0ms

Algorithm
intervals
Results
24.0ms49×body1280valid
11.0ms39×body640valid
8.0ms145×body80valid
2.0ms13×body320valid
1.0ms10×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0115
1115

prune3.0ms

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 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))
0.1b
(* x (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
+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))
4.0ms
(* x (sin y))

series153.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ (* x (sin y)) (* z (cos y)))
39.0ms
(* z (cos y))
38.0ms
(* x (sin y))

simplify74.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune130.0ms

Filtered
56 candidates to 40 candidates (71.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(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
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 x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series747.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt x) (cbrt x))
181.0ms
(cbrt x)
186.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify93.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune233.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh178
Picked011
Done000
Total841094

Merged error: 0.0b

Counts
94 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.1b
(pow (cbrt (cbrt x)) 5)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down
pow1 add-exp-log
pow1/3 add-cbrt-cube add-log-exp
pow-unpow
pow-pow
pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
4.0ms
(pow (cbrt (cbrt x)) 5)

series1.0s

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
250.0ms
(cbrt (cbrt x))
245.0ms
(cbrt (cbrt x))
337.0ms
(pow (cbrt (cbrt x)) 5)

simplify57.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0161333
1446313
21507307
35001295

prune266.0ms

Filtered
75 candidates to 61 candidates (81.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New73275
Fresh088
Picked011
Done011
Total731285

Merged error: 0.0b

Counts
85 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
1.1b
(pow (cbrt (cbrt x)) 5)
1.1b
(pow (cbrt (cbrt x)) 5)
1.1b
(pow (cbrt (cbrt x)) 5)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
27×unpow-prod-down
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow-unpow
pow1 add-exp-log
pow-pow
pow1/3 add-cbrt-cube add-log-exp
pow-to-exp pow-exp sqr-pow
Counts
4 → 86
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
4.0ms
(pow (cbrt (cbrt x)) 5)
4.0ms
(pow (cbrt (cbrt x)) 5)
4.0ms
(pow (cbrt (cbrt x)) 5)

series1.4s

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt (cbrt x))
531.0ms
(pow (cbrt (cbrt x)) 5)
335.0ms
(pow (cbrt (cbrt x)) 5)
331.0ms
(pow (cbrt (cbrt x)) 5)

simplify58.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0143506
1390492
21296490
35001472

prune342.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh099
Picked011
Done022
Total9812110

Merged error: 0.0b

Counts
110 → 12

regimes145.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample1.7s

Algorithm
intervals
Results
695.0ms1576×body1280valid
328.0ms1185×body640valid
266.0ms4330×body80valid
125.0ms609×body320valid
40.0ms300×body160valid

Profiling

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