Details

Time bar (total: 4.6s)

sample22.0ms

Algorithm
intervals
Results
6.0ms51×body1280valid
4.0ms40×body640valid
3.0ms142×body80valid
1.0ms13×body320valid
0.0ms10×body160valid

simplify5.0ms

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: 27.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.5b
(- (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))

series424.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(cbrt (+ x 1.0))
185.0ms
(cbrt x)
152.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04301315
113941045
25001981

prune209.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New999108
Fresh000
Picked101
Done000
Total1009109

Merged error: 16.7b

Counts
109 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(expm1 (- (cbrt (+ x 1.0)) (cbrt x)))
0.6b
(cbrt x)
2.5b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
57×*-un-lft-identity
42×add-sqr-sqrt prod-diff
34×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
6×add-log-exp
5×log1p-expm1-u
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube difference-of-squares
3×distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg expm1-log1p flip3-- flip3-+ diff-log flip-- flip-+ expm1-udef
Counts
4 → 110
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(expm1 (- (cbrt (+ x 1.0)) (cbrt x)))
1.0ms
(cbrt x)
15.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series617.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ x 1.0))
202.0ms
(expm1 (- (cbrt (+ x 1.0)) (cbrt x)))
176.0ms
(cbrt x)
152.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify81.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06131540
122191256
250011198

prune266.0ms

Filtered
122 candidates to 81 candidates (66.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh088
Picked011
Done000
Total1229131

Merged error: 16.7b

Counts
131 → 9

localize15.0ms

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)))

rewrite15.0ms

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

series713.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
183.0ms
(cbrt x)
177.0ms
(cbrt x)
177.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify144.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune186.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New66268
Fresh347
Picked101
Done011
Total70777

Merged error: 10.4b

Counts
77 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
19.8b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (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)
12.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
176.0ms
(cbrt x)
182.0ms
(cbrt x)
180.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0276570
11045472
25001421

prune191.0ms

Filtered
67 candidates to 58 candidates (86.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh055
Picked101
Done011
Total66874

Merged error: 10.4b

Counts
74 → 8

regimes90.0ms

Accuracy

98.9% (0.2b remaining)

Error of 12.2b against oracle of 12.0b and baseline of 30.0b

bsearch114.0ms

Steps
ItersRangePoint
10
0.0002141056345597589
3206628.0142593775
2502.043900537406
11
-8.810398280649897e+64
-7.398030449047884e+36
-4.419625294410731e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06243
16243

end0.0ms

sample587.0ms

Algorithm
intervals
Results
215.0ms1774×body1280valid
117.0ms1246×body640valid
105.0ms4071×body80valid
41.0ms606×body320valid
14.0ms303×body160valid