Details

Time bar (total: 5.0s)

sample20.0ms

Algorithm
intervals
Results
6.0ms59×body1280valid
3.0ms39×body640valid
3.0ms131×body80valid
1.0ms18×body320valid
0.0ms9×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: 29.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.2b
(- (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))

series419.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(cbrt (+ x 1.0))
176.0ms
(cbrt x)
154.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify54.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04301315
113941045
25001981

prune241.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9414108
Fresh000
Picked101
Done000
Total9514109

Merged error: 19.8b

Counts
109 → 14

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
1.6b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
117×cbrt-prod
104×*-un-lft-identity
84×prod-diff
78×add-sqr-sqrt
62×add-cube-cbrt
47×log-prod
44×exp-sum
16×distribute-lft-out
11×log-pow
10×exp-prod
8×difference-of-squares
7×fma-neg
6×distribute-lft-out-- add-log-exp
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×sub-neg cbrt-div pow1/3
1×log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp flip-- flip-+
Counts
4 → 168
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
17.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
10.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series583.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (+ x 1.0))
187.0ms
(cbrt x)
148.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
156.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify66.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05672459
116511917
250011581

prune338.0ms

Filtered
180 candidates to 101 candidates (56.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1764180
Fresh31013
Picked101
Done000
Total18014194

Merged error: 19.8b

Counts
194 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(- (* (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)))

series722.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
178.0ms
(cbrt x)
185.0ms
(cbrt x)
181.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify141.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0260403
1906328
24583314
35001311

prune215.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New63568
Fresh31013
Picked101
Done000
Total671582

Merged error: 13.0b

Counts
82 → 15

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
2.1b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
2.1b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
2.1b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite35.0ms

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)))

series903.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
364.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (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)))

simplify141.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0260865
1906680
24583638
35001629

prune268.0ms

Filtered
76 candidates to 68 candidates (89.5%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New75176
Fresh01414
Picked101
Done000
Total761591

Merged error: 13.0b

Counts
91 → 15

regimes141.0ms

Accuracy

99% (0.2b remaining)

Error of 11.6b against oracle of 11.5b and baseline of 29.7b

bsearch98.0ms

Steps
ItersRangePoint
9
0.0002199982819353488
137964.03928948785
3036.0492110107466
9
-1.0467233090565783e+63
-2.395645033726678e+56
-4.444200989733457e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06850
16850

end0.0ms

sample500.0ms

Algorithm
intervals
Results
172.0ms1713×body1280valid
92.0ms1231×body640valid
83.0ms4123×body80valid
38.0ms632×body320valid
17.0ms301×body160valid