Details

Time bar (total: 4.7s)

sample20.0ms

Algorithm
intervals
Results
6.0ms51×body1280valid
3.0ms139×body80valid
3.0ms32×body640valid
2.0ms25×body320valid
0.0ms9×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

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: 28.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.5b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series420.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
150.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify160.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0287358
1934344
24839322
35001322

prune139.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New431053
Fresh000
Picked101
Done000
Total441054

Merged error: 10.3b

Counts
54 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×sub-neg flip3-- diff-log flip-- difference-of-squares
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series716.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
177.0ms
(cbrt x)
182.0ms
(cbrt x)
179.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify133.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune160.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh189
Picked011
Done000
Total581068

Merged error: 10.3b

Counts
68 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(- (cbrt (+ x 1.0)) (cbrt x))
2.5b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
20×*-un-lft-identity
8×add-log-exp difference-of-squares
6×add-cube-cbrt distribute-lft-out--
4×pow1 add-exp-log add-cbrt-cube
2×sub-neg flip3-- pow1/3 diff-log flip-- distribute-lft-out
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series664.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
178.0ms
(cbrt x)
154.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
154.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify128.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0234488
1748464
23971438
35002438

prune207.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh088
Picked011
Done011
Total721082

Merged error: 10.3b

Counts
82 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.6b
(cbrt x)
8.8b
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-div
28×cbrt-prod
27×*-un-lft-identity
21×add-sqr-sqrt
13×add-cube-cbrt
12×flip3-+ flip-+
11×pow1
9×swap-sqr
8×frac-times pow1/3
7×associate-*r* associate-*l*
6×add-exp-log distribute-lft-out add-log-exp
4×associate-*r/ associate-*l/ add-cbrt-cube unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 sub-neg flip3-- pow-plus diff-log prod-exp *-commutative flip-- cbrt-unprod
Counts
4 → 93
Calls
4 calls:
10.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
8.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
1.0ms
(cbrt x)
12.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series545.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
104.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
178.0ms
(cbrt x)
153.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify61.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05141008
11887938
25001883

prune237.0ms

Filtered
105 candidates to 73 candidates (69.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1023105
Fresh167
Picked101
Done022
Total10411115

Merged error: 10.3b

Counts
115 → 11

regimes116.0ms

Accuracy

99.7% (0.1b remaining)

Error of 11.7b against oracle of 11.6b and baseline of 30.3b

bsearch89.0ms

Steps
ItersRangePoint
9
0.004314681149180372
39972.03059165128
0.040232050575918735
10
-3.382127658162194e+71
-1.8574760383643568e+59
-4.462275442518307e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05737
16137
26137

end0.0ms

sample754.0ms

Algorithm
intervals
Results
400.0ms1751×body1280valid
107.0ms1246×body640valid
93.0ms4029×body80valid
41.0ms657×body320valid
13.0ms317×body160valid

Profiling

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