Details

Time bar (total: 7.0s)

sample19.0ms

Algorithm
intervals
Results
5.0ms49×body1280valid
3.0ms42×body640valid
3.0ms144×body80valid
1.0ms12×body320valid
1.0ms9×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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.4b
(- (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))

series453.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(cbrt (+ x 1.0))
184.0ms
(cbrt x)
167.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify56.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04281315
113661045
250021031

prune237.0ms

Filtered
108 candidates to 78 candidates (27.8%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New9117108
Fresh000
Picked101
Done000
Total9217109

Merged error: 17.1b

Counts
109 → 17

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.0b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite41.0ms

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 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×sub-neg cbrt-div pow1/3 rem-log-exp
1×log-div flip3-- flip3-+ exp-diff diff-log flip-- flip-+
Counts
4 → 169
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))

series602.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
162.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
163.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify73.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05652459
116231917
250011690

prune404.0ms

Filtered
181 candidates to 116 candidates (35.9%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1747181
Fresh31316
Picked101
Done000
Total17820198

Merged error: 17.1b

Counts
198 → 20

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
1321×cbrt-prod
1261×add-sqr-sqrt
976×*-un-lft-identity
864×prod-diff
547×add-cube-cbrt
490×swap-sqr
396×associate-*l*
388×associate-*r*
312×unswap-sqr
173×distribute-lft-out
81×difference-of-squares
78×*-commutative
32×fma-neg
11×distribute-lft-out--
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-- diff-log flip--
Counts
4 → 1041
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
75.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series750.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
183.0ms
(cbrt x)
192.0ms
(cbrt x)
193.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify323.0ms

Algorithm
egg-herbie
Counts
1053 → 1053
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
0182731215
1414721496
2500121128

prune948.0ms

Filtered
1053 candidates to 193 candidates (81.7%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New104491053
Fresh14519
Picked101
Done000
Total1059141073

Merged error: 9.6b

Counts
1073 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
1321×cbrt-prod
1261×add-sqr-sqrt
976×*-un-lft-identity
864×prod-diff
547×add-cube-cbrt
490×swap-sqr
396×associate-*l*
388×associate-*r*
312×unswap-sqr
173×distribute-lft-out
81×difference-of-squares
78×*-commutative
32×fma-neg
11×distribute-lft-out--
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-- diff-log flip--
Counts
4 → 1041
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
80.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series762.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt x)
189.0ms
(cbrt x)
184.0ms
(cbrt x)
197.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify335.0ms

Algorithm
egg-herbie
Counts
1053 → 1053
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
0182731215
1414721496
2500121128

prune794.0ms

Filtered
1053 candidates to 193 candidates (81.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New105211053
Fresh11213
Picked011
Done000
Total1053141067

Merged error: 9.6b

Counts
1067 → 14

regimes95.0ms

Accuracy

98.9% (0.2b remaining)

Error of 11.9b against oracle of 11.7b and baseline of 29.9b

bsearch131.0ms

Steps
ItersRangePoint
9
0.0004381094517774334
96283.49646244562
3562.723627567406
11
-2.733417368184106e+69
-9.249404424269967e+45
-4.511750183261375e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07645
17645

end0.0ms

sample493.0ms

Algorithm
intervals
Results
172.0ms1712×body1280valid
95.0ms1270×body640valid
87.0ms4084×body80valid
34.0ms620×body320valid
12.0ms314×body160valid