Details

Time bar (total: 5.2s)

sample20.0ms

Algorithm
intervals
Results
6.0ms60×body1280valid
3.0ms37×body640valid
3.0ms130×body80valid
1.0ms16×body320valid
1.0ms13×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: 29.6b

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.6b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 99
Calls
3 calls:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
28.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series430.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(cbrt (+ x 1.0))
185.0ms
(cbrt x)
154.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify54.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04301315
113941045
25001981

prune244.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 19.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
9.2b
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
7×fma-neg prod-diff
6×add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
2×distribute-lft-out
1×sub-neg flip3-- diff-log flip--
Counts
4 → 70
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
27.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series765.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
183.0ms
(cbrt x)
246.0ms
(cbrt (cbrt x))
154.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify103.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0311714
1892635
23430619
35001618

prune284.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 19.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.5b
(- (+ x 1.0) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
21×cbrt-prod
19×add-sqr-sqrt
17×add-cube-cbrt
12×prod-diff
9×add-log-exp
5×distribute-lft-out
4×pow1 add-exp-log expm1-log1p-u fma-neg add-cbrt-cube log1p-expm1-u
3×pow1/3
2×diff-log distribute-lft-out--
1×sub-neg flip3-- associate--l+ sum-log flip-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
27.0ms
(- (+ x 1.0) x)

series671.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
244.0ms
(cbrt (cbrt x))
244.0ms
(cbrt (cbrt x))
1.0ms
(- (+ x 1.0) x)

simplify139.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0194437
1631318
23997280
35001273

prune336.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 58
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
378.0ms
(cbrt x)
187.0ms
(cbrt x)
246.0ms
(cbrt (cbrt x))
246.0ms
(cbrt (cbrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
075246
1145230
2361222
31382222
45002222

prune310.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

regimes86.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02831
13231
23231

end0.0ms

sample531.0ms

Algorithm
intervals
Results
190.0ms1725×body1280valid
108.0ms1319×body640valid
83.0ms3981×body80valid
41.0ms643×body320valid
13.0ms332×body160valid