Details

Time bar (total: 4.9s)

sample18.0ms

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

localize6.0ms

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))

rewrite37.0ms

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))
1.0ms
(cbrt x)
30.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series428.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(cbrt (+ x 1.0))
183.0ms
(cbrt x)
152.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04301315
113941045
25001981

prune248.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 15.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.5b
(expm1 (- (cbrt (+ x 1.0)) (cbrt x)))
0.6b
(cbrt x)
3.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
57×*-un-lft-identity
42×add-sqr-sqrt prod-diff
34×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
6×add-log-exp
5×log1p-expm1-u
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube difference-of-squares
3×distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg expm1-log1p flip3-- flip3-+ diff-log flip-- flip-+ expm1-udef
Counts
4 → 110
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(expm1 (- (cbrt (+ x 1.0)) (cbrt x)))
1.0ms
(cbrt x)
31.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series650.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (+ x 1.0))
212.0ms
(expm1 (- (cbrt (+ x 1.0)) (cbrt x)))
184.0ms
(cbrt x)
161.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify80.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06131540
122191256
250011198

prune344.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 15.0b

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))

rewrite102.0ms

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))
1.0ms
(cbrt x)
60.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
31.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series595.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (+ x 1.0))
187.0ms
(cbrt x)
153.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
162.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify64.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05672459
116511917
250011581

prune405.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 15.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (+ x 1.0)))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
25.0b
(fma (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
13×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×fma-udef
Counts
4 → 61
Calls
4 calls:
2.0ms
(cbrt (cbrt (+ x 1.0)))
3.0ms
(cbrt (cbrt (+ x 1.0)))
1.0ms
(cbrt x)
0.0ms
(fma (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

series630.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (cbrt (+ x 1.0)))
93.0ms
(cbrt (cbrt (+ x 1.0)))
181.0ms
(cbrt x)
263.0ms
(fma (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0371641
11087581
23981542
35001533

prune266.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 15.0b

regimes143.0ms

Accuracy

97.7% (0.2b remaining)

Error of 18.9b against oracle of 18.7b and baseline of 29.6b

bsearch153.0ms

Steps
ItersRangePoint
9
1610.1334651337936
588165898.4936482
7658.293245564764
11
-1.9974387979259284e+69
-3.3105946687093347e+47
-4.4771775817553536e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06745
17145
27145

end0.0ms

sample507.0ms

Algorithm
intervals
Results
173.0ms1692×body1280valid
94.0ms1219×body640valid
85.0ms4121×body80valid
44.0ms657×body320valid
12.0ms311×body160valid