Details

Time bar (total: 4.3s)

sample17.0ms

Algorithm
intervals
Results
4.0ms43×body1280valid
3.0ms151×body80valid
2.0ms30×body640valid
1.0ms22×body320valid
0.0ms10×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite25.0ms

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:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
22.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series398.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(cbrt (+ x 1.0))
168.0ms
(cbrt x)
145.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify160.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune152.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.7b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
3.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
23×cbrt-prod
11×log-pow
10×exp-prod
8×add-cube-cbrt difference-of-squares
6×distribute-lft-out-- add-log-exp
5×pow1 log-prod
4×add-exp-log add-cbrt-cube
3×distribute-lft-out
2×sub-neg cbrt-div pow1/3 exp-sum
1×log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp flip-- flip-+
Counts
4 → 69
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
51.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series561.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (+ x 1.0))
177.0ms
(cbrt x)
150.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
147.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify36.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0336568
11025536
25001505

prune254.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite13.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series709.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
175.0ms
(cbrt x)
181.0ms
(cbrt x)
175.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify133.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune193.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
8.0b
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
15×cbrt-prod
9×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
6×add-log-exp
4×pow1 add-exp-log frac-times add-cbrt-cube
3×pow1/3
2×associate-*r/ associate-*l/
1×sub-neg flip3-- diff-log flip-- distribute-lft-out
Counts
4 → 57
Calls
4 calls:
7.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
2.0ms
(cbrt (cbrt (+ x 1.0)))
1.0ms
(cbrt x)
23.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series513.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
87.0ms
(cbrt (cbrt (+ x 1.0)))
175.0ms
(cbrt x)
150.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify48.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0477746
11545691
25002672

prune228.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.3b

regimes72.0ms

Accuracy

99.7% (0.1b remaining)

Error of 11.7b against oracle of 11.7b and baseline of 29.7b

bsearch86.0ms

Steps
ItersRangePoint
7
4.4774616310023024e-13
1.5690179557626914e-11
6.769693025216901e-12
11
-1.9974387979259284e+69
-3.3105946687093347e+47
-4.4771775817553536e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05737
16137
26137

end0.0ms

sample497.0ms

Algorithm
intervals
Results
168.0ms1692×body1280valid
98.0ms1219×body640valid
82.0ms4121×body80valid
44.0ms657×body320valid
12.0ms311×body160valid