Details

Time bar (total: 4.7s)

sample19.0ms

Algorithm
intervals
Results
6.0ms68×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

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))

rewrite19.0ms

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:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
10.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series429.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(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

prune249.0ms

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))

rewrite42.0ms

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:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
15.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
10.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series569.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (+ x 1.0))
179.0ms
(cbrt x)
154.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
146.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify71.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05672459
116511917
250011581

prune389.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 20.8b

localize10.0ms

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)))

rewrite16.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
179.0ms
(cbrt x)
179.0ms
(cbrt x)
187.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify144.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune237.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 13.3b

localize16.0ms

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 x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

rewrite17.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
13.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

series718.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
179.0ms
(cbrt x)
184.0ms
(cbrt x)
178.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0276545
11038477
25002467

prune229.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 13.3b

regimes132.0ms

Accuracy

98.7% (0.2b remaining)

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

bsearch86.0ms

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

sample481.0ms

Algorithm
intervals
Results
170.0ms1713×body1280valid
90.0ms1235×body640valid
81.0ms4084×body80valid
35.0ms651×body320valid
14.0ms317×body160valid