Details

Time bar (total: 5.2s)

sample25.0ms

Algorithm
intervals
Results
7.0ms53×body1280valid
5.0ms51×body640valid
5.0ms127×body80valid
1.0ms17×body320valid
0.0ms8×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: 31.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.0b
(- (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))

series604.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(cbrt (+ x 1.0))
363.0ms
(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

prune233.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 17.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.0b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite14.0ms

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

series723.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
178.0ms
(cbrt x)
185.0ms
(cbrt x)
180.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify145.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune227.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
3.0b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
3.0b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
3.0b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×cbrt-prod sub-neg flip3-- fma-neg diff-log prod-diff flip-- difference-of-squares
1×pow1/3
Counts
4 → 64
Calls
4 calls:
0.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
12.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series736.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
182.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
185.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
182.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify146.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0260865
1906680
24583638
35001629

prune330.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
31.0b
(fma (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite11.0ms

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))
6.0ms
(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)))

series626.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (+ x 1.0))
92.0ms
(cbrt (+ x 1.0))
182.0ms
(cbrt x)
262.0ms
(fma (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify101.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0340545
11020489
23657450
35001441

prune240.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.8b

regimes69.0ms

Accuracy

99.2% (0.1b remaining)

Error of 12.2b against oracle of 12.0b and baseline of 30.1b

bsearch134.0ms

Steps
ItersRangePoint
10
4.8244160186105205e-08
257763.20554958374
3314.7841445986287
11
-1.2492516085962122e+63
-8.978098901761137e+42
-4.453755248859183e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07443
17443

end0.0ms

sample700.0ms

Algorithm
intervals
Results
233.0ms1767×body1280valid
164.0ms4077×body80valid
133.0ms1262×body640valid
49.0ms612×body320valid
17.0ms282×body160valid