Details

Time bar (total: 5.0s)

sample25.0ms

Algorithm
intervals
Results
7.0ms53×body1280valid
5.0ms127×body80valid
5.0ms51×body640valid
1.0ms17×body320valid
0.0ms8×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: 31.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.0b
(- (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)
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series418.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(cbrt (+ x 1.0))
183.0ms
(cbrt x)
149.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify157.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune145.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.0b
(- (* (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:
1.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series713.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
183.0ms
(cbrt x)
175.0ms
(cbrt x)
177.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify134.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune184.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 10.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
3.0b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
3.0b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
3.0b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-prod sub-neg flip3-- diff-log flip-- difference-of-squares
1×pow1/3
Counts
4 → 50
Calls
4 calls:
0.0ms
(cbrt x)
10.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
15.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series725.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
180.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
178.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
180.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify136.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0243756
1829604
24198556
35001556

prune264.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 10.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
20.5b
(- (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod *-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt
6×add-log-exp
4×pow1 add-exp-log cbrt-div add-cbrt-cube
3×pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×sub-neg flip3-- diff-log flip--
Counts
4 → 51
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
48.0ms
(- (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series513.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (+ x 1.0))
90.0ms
(cbrt (+ x 1.0))
179.0ms
(cbrt x)
155.0ms
(- (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify164.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0288590
1972483
24915434
35001434

prune194.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 10.7b

regimes53.0ms

Accuracy

99.3% (0.1b remaining)

Error of 12.0b against oracle of 11.9b and baseline of 30.1b

bsearch116.0ms

Steps
ItersRangePoint
10
4.8244160186105205e-08
257763.20554958374
0.003049321651587877
11
-1.2492516085962122e+63
-8.978098901761137e+42
-4.453755248859183e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06738
17438
27438

end0.0ms

sample878.0ms

Algorithm
intervals
Results
418.0ms1767×body1280valid
165.0ms4077×body80valid
129.0ms1262×body640valid
50.0ms612×body320valid
17.0ms282×body160valid