Details

Time bar (total: 5.0s)

sample20.0ms

Algorithm
intervals
Results
7.0ms68×body1280valid
3.0ms127×body80valid
2.0ms32×body640valid
1.0ms19×body320valid
0.0ms10×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite34.0ms

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)
27.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series430.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(cbrt (+ x 1.0))
187.0ms
(cbrt x)
153.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04301315
113941045
25001981

prune247.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.4b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
117×cbrt-prod
104×*-un-lft-identity
84×prod-diff
78×add-sqr-sqrt
62×add-cube-cbrt
47×log-prod
44×exp-sum
16×distribute-lft-out
11×log-pow
10×exp-prod
8×difference-of-squares
7×fma-neg
6×distribute-lft-out-- add-log-exp
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×sub-neg cbrt-div pow1/3
1×log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp flip-- flip-+
Counts
4 → 168
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
57.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
30.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series580.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (+ x 1.0))
180.0ms
(cbrt x)
152.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
149.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify61.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05672459
116511917
250011581

prune381.0ms

Filtered
180 candidates to 98 candidates (54.4%)
Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 20.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite18.0ms

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 expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
15.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series736.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
182.0ms
(cbrt x)
182.0ms
(cbrt x)
184.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify142.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (137.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune243.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 13.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
10.0b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)))

rewrite18.0ms

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 expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 55
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
15.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)))

series930.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
382.0ms
(cbrt x)
189.0ms
(cbrt x)
184.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)))

simplify45.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0273545
11030477
25001467

prune228.0ms

Filtered
67 candidates to 58 candidates (86.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 13.3b

regimes130.0ms

Accuracy

98.7% (0.2b remaining)

Error of 12.2b against oracle of 12.0b and baseline of 29.9b

bsearch87.0ms

Steps
ItersRangePoint
8
0.8818080259852756
19555.519105776155
2758.7368108930746
9
-1.0967933651442815e+64
-5.242418605836733e+58
-4.4552811435672495e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06342
16342

end0.0ms

sample516.0ms

Algorithm
intervals
Results
182.0ms1713×body1280valid
98.0ms1235×body640valid
90.0ms4084×body80valid
37.0ms651×body320valid
12.0ms317×body160valid