Details

Time bar (total: 2.4s)

sample33.0ms

Algorithm
intervals
Results
7.0ms248×pre80false
7.0ms256×pre80true
5.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1123
2123

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: 8.2b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ x0 (- 1.0 x1))
7.4b
(- (/ x0 (- 1.0 x1)) x0)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
106×add-sqr-sqrt
103×*-un-lft-identity
76×times-frac
69×add-cube-cbrt
63×prod-diff
21×fma-neg
18×difference-of-squares
17×distribute-lft-out--
10×associate-/r/
6×flip3-- flip--
5×associate-/r* div-inv
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num
Counts
2 → 140
Calls
2 calls:
9.0ms
(/ x0 (- 1.0 x1))
13.0ms
(- (/ x0 (- 1.0 x1)) x0)

series77.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x0 (- 1.0 x1))
41.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify56.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04211434
11527945
25001894

prune136.0ms

Filtered
146 candidates to 73 candidates (50.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1442146
Fresh000
Picked101
Done000
Total1452147

Merged error: 5.5b

Counts
147 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

6.2b
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify150.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
062143
1167123
2707119
34297116
45001116

prune31.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New12113
Fresh011
Picked101
Done000
Total13215

Merged error: 5.5b

Counts
15 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

1.0b
(exp (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
6.2b
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-cube-cbrt exp-prod *-un-lft-identity
3×pow1 log-prod exp-sum
2×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
1×log-pow fma-udef rem-exp-log
Counts
2 → 27
Calls
2 calls:
2.0ms
(exp (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
1.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series171.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(exp (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
85.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify158.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 4 (154.0ms)

IterNodesCost
093375
1220334
2794304
34603293
45001290

prune72.0ms

Filtered
33 candidates to 27 candidates (81.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New32133
Fresh011
Picked101
Done000
Total33235

Merged error: 5.5b

Counts
35 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

1.3b
(pow E (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
6.2b
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 pow-unpow
3×unpow-prod-up add-exp-log unpow-prod-down log-prod
2×expm1-log1p-u pow-exp add-cbrt-cube log1p-expm1-u add-log-exp
1×pow-to-exp e-exp-1 pow-pow log-pow fma-udef sqr-pow
Counts
2 → 34
Calls
2 calls:
3.0ms
(pow E (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
1.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series230.0ms

Counts
2 → 6
Calls
2 calls:
145.0ms
(pow E (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
85.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify52.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0165537
1475502
21949475
35001438

prune84.0ms

Filtered
40 candidates to 31 candidates (77.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New39140
Fresh011
Picked101
Done000
Total40242

Merged error: 5.5b

Counts
42 → 2

regimes36.0ms

Accuracy

0% (0.6b remaining)

Error of 6.3b against oracle of 5.6b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02728
12928
22928

end0.0ms

sample891.0ms

Algorithm
intervals
Results
235.0ms8151×pre80false
225.0ms8000×pre80true
162.0ms8000×body80valid

Profiling

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