Details

Time bar (total: 5.0s)

sample19.0ms

Algorithm
intervals
Results
5.0ms57×body1280valid
3.0ms39×body640valid
3.0ms138×body80valid
1.0ms14×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: 28.1b

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))

rewrite21.0ms

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

series417.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
148.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify52.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04301315
113941045
25001981

prune236.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 19.3b

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)))

rewrite19.0ms

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)
15.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series713.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
177.0ms
(cbrt x)
175.0ms
(cbrt x)
176.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify141.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune226.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.5b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:
1.0ms
(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)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series725.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
180.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
179.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
186.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify145.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0260865
1906680
24583638
35001629

prune333.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.6b
(cbrt x)
28.3b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-div
8×cbrt-prod *-un-lft-identity
7×flip3-+ flip-+
6×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×fma-udef distribute-lft-out
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
8.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
1.0ms
(cbrt x)
1.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

series820.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt (+ x 1.0))
110.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
177.0ms
(cbrt x)
252.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify126.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0446668
11309615
24610590
35001587

prune242.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 12.5b

regimes75.0ms

Accuracy

98.9% (0.2b remaining)

Error of 11.9b against oracle of 11.7b and baseline of 30.1b

bsearch107.0ms

Steps
ItersRangePoint
10
4.9177062248324165e-05
42925490.781275615
2770.783238086668
10
-1.0571996836653623e+65
-1.2789128298244494e+54
-4.4684458085938983e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06650
16650

end0.0ms

sample508.0ms

Algorithm
intervals
Results
178.0ms1734×body1280valid
96.0ms1268×body640valid
82.0ms4049×body80valid
40.0ms613×body320valid
13.0ms336×body160valid