Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
6.0ms59×body1280valid
3.0ms139×body80valid
2.0ms26×body640valid
1.0ms23×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: 28.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
2×cbrt-div pow1/3
1×sub-neg flip3-- flip3-+ flip-- flip-+
Counts
3 → 8
Calls
3 calls:
2.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
3.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series440.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(cbrt (+ x 1.0))
184.0ms
(cbrt x)
162.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify128.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0238172
1790167
23656145
35001145

prune67.0ms

Filtered
17 candidates to 15 candidates (88.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New12517
Fresh000
Picked011
Done000
Total12618

Merged error: 10.6b

Counts
18 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.3b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×*-commutative difference-of-squares
3×pow1/3
1×sub-neg flip3-- flip--
Counts
4 → 11
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
9.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt x)
186.0ms
(cbrt x)
186.0ms
(cbrt x)
190.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify80.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0212174
1695160
22405141
35001141

prune75.0ms

Filtered
23 candidates to 16 candidates (69.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22123
Fresh044
Picked011
Done101
Total23629

Merged error: 10.6b

Counts
29 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- x 1.0))
0.6b
(cbrt x)
15.4b
(cbrt (- (* x x) (* 1.0 1.0)))
16.5b
(- (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (cbrt x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
4×cbrt-prod cbrt-div *-commutative difference-of-squares
3×flip3-- pow1/3 flip--
1×sub-neg
Counts
4 → 15
Calls
4 calls:
2.0ms
(cbrt (- x 1.0))
1.0ms
(cbrt x)
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
9.0ms
(- (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (cbrt x))

series690.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (- x 1.0))
184.0ms
(cbrt x)
207.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
194.0ms
(- (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (cbrt x))

simplify44.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0404281
11464276
25002258

prune114.0ms

Filtered
27 candidates to 21 candidates (77.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New23427
Fresh134
Picked011
Done101
Total25833

Merged error: 10.6b

Counts
33 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

15.4b
(cbrt (- (* x x) (* 1.0 1.0)))
15.4b
(cbrt (- (* x x) (* 1.0 1.0)))
15.4b
(cbrt (- (* x x) (* 1.0 1.0)))
16.5b
(- (* (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)))) (* (cbrt x) (cbrt x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
16×*-commutative difference-of-squares
12×cbrt-prod
6×cbrt-div
4×flip3-- flip--
3×pow1/3
1×sub-neg
Counts
4 → 29
Calls
4 calls:
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
35.0ms
(- (* (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)))) (* (cbrt x) (cbrt x)))

series895.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
207.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
200.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
285.0ms
(- (* (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)))) (* (cbrt x) (cbrt x)))

simplify145.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0355542
11238518
24819478
35001478

prune166.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New38341
Fresh156
Picked101
Done011
Total40949

Merged error: 10.6b

Counts
49 → 9

regimes66.0ms

Accuracy

99.2% (0.2b remaining)

Error of 12.0b against oracle of 11.9b and baseline of 30.6b

bsearch98.0ms

Steps
ItersRangePoint
9
1.2497558356096057e-15
3.88064682879673e-06
3.929867930784168e-08
8
-4.7170329246979447e+61
-3.6046192339311515e+58
-4.455930272966536e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07043
17743
27743

end0.0ms

sample538.0ms

Algorithm
intervals
Results
193.0ms1749×body1280valid
105.0ms1253×body640valid
91.0ms4072×body80valid
35.0ms586×body320valid
14.0ms340×body160valid