Details

Time bar (total: 5.1s)

sample19.0ms

Algorithm
intervals
Results
5.0ms45×body1280valid
3.0ms134×body80valid
3.0ms37×body640valid
1.0ms23×body320valid
1.0ms17×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
4.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite18.0ms

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))

series415.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
174.0ms
(cbrt x)
154.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify56.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04301315
113941045
25001981

prune218.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9711108
Fresh000
Picked101
Done000
Total9811109

Merged error: 17.0b

Counts
109 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
29.2b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

series793.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
182.0ms
(cbrt x)
176.0ms
(cbrt x)
257.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

simplify67.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0222438
1613389
22262375
35001372

prune323.0ms

Filtered
61 candidates to 55 candidates (90.2%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New54761
Fresh2810
Picked101
Done000
Total571572

Merged error: 17.0b

Counts
72 → 15

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
29.2b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

series800.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
178.0ms
(cbrt x)
183.0ms
(cbrt x)
257.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0222438
1613389
22262375
35001372

prune341.0ms

Filtered
61 candidates to 55 candidates (90.2%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh11314
Picked011
Done000
Total611576

Merged error: 17.0b

Counts
76 → 15

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
29.2b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

series807.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
188.0ms
(cbrt x)
176.0ms
(cbrt x)
260.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))

simplify67.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0222438
1613389
22262375
35001372

prune292.0ms

Filtered
61 candidates to 55 candidates (90.2%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New59261
Fresh21113
Picked101
Done011
Total621476

Merged error: 17.0b

Counts
76 → 14

regimes89.0ms

Accuracy

98.4% (0.2b remaining)

Error of 19.2b against oracle of 19.0b and baseline of 30.0b

bsearch80.0ms

Steps
ItersRangePoint
9
860.9547529914067
28642596122.821114
7492.241819696162
7
-5.259717760295701e+62
-7.63418535506194e+60
-4.456969474950534e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04524
14524

end0.0ms

sample527.0ms

Algorithm
intervals
Results
190.0ms1743×body1280valid
97.0ms1216×body640valid
91.0ms4078×body80valid
38.0ms642×body320valid
13.0ms321×body160valid