Details

Time bar (total: 4.7s)

sample24.0ms

Algorithm
intervals
Results
6.0ms51×body1280valid
5.0ms134×body80valid
4.0ms38×body640valid
2.0ms23×body320valid
1.0ms10×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: 29.1b

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))

rewrite36.0ms

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))

series414.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(cbrt (+ x 1.0))
175.0ms
(cbrt x)
151.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify51.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04301315
113941045
25001981

prune234.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 17.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (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-- 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)))

series707.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
178.0ms
(cbrt x)
174.0ms
(cbrt x)
177.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify139.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune221.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
29.3b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod *-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×fma-udef
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
0.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

series611.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (+ x 1.0))
94.0ms
(cbrt (+ x 1.0))
177.0ms
(cbrt x)
250.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify99.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0340532
11019485
23653455
35001446

prune277.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
29.3b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))))) (- (cbrt x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod *-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-+ flip-+ distribute-lft-out
1×fma-udef
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
0.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))))) (- (cbrt x)))

series605.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (+ x 1.0))
89.0ms
(cbrt (+ x 1.0))
175.0ms
(cbrt x)
253.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))))) (- (cbrt x)))

simplify99.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0343636
11022573
23656543
35001534

prune279.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.1b

regimes84.0ms

Accuracy

99% (0.2b remaining)

Error of 11.8b against oracle of 11.6b and baseline of 29.7b

bsearch101.0ms

Steps
ItersRangePoint
9
0.0012055448239290207
14520.350903362307
3065.5586030499803
7
-3.0136667244557635e+62
-5.537233967456336e+60
-4.502135720218312e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07443
17443

end0.0ms

sample683.0ms

Algorithm
intervals
Results
215.0ms1705×body1280valid
160.0ms4133×body80valid
134.0ms1226×body640valid
49.0ms629×body320valid
18.0ms307×body160valid