Details

Time bar (total: 16.5s)

sample26.0ms

Algorithm
intervals
Results
6.0ms46×body1280valid
5.0ms45×body640valid
4.0ms130×body80valid
2.0ms20×body320valid
1.0ms15×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2107
done107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite78.0ms

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:
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
69.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series1.1s

Counts
3 → 9
Calls
3 calls:
120.0ms
(cbrt (+ x 1.0))
298.0ms
(cbrt x)
632.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.1s

Counts
108 → 108
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01942160
14591790
214081468
done50011288

prune355.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.9b
(- (cbrt (+ x 1.0)) (cbrt x))
8.4b
(log (- (cbrt (+ x 1.0)) (cbrt x)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod
65×*-un-lft-identity
51×add-sqr-sqrt
42×prod-diff
35×add-cube-cbrt
10×log-prod distribute-lft-out
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×log-div cbrt-div flip3-- pow1/3 flip--
1×sub-neg flip3-+ diff-log rem-log-exp log-pow flip-+
Counts
4 → 122
Calls
4 calls:
8.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
85.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
59.0ms
(log (- (cbrt (+ x 1.0)) (cbrt x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (+ x 1.0))
310.0ms
(cbrt x)
231.0ms
(- (cbrt (+ x 1.0)) (cbrt x))
318.0ms
(log (- (cbrt (+ x 1.0)) (cbrt x)))

simplify1.5s

Counts
134 → 134
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02712759
16532340
223631987
done50021907

prune586.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(- (+ x 1.0) x)
8.4b
(log (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
9×add-log-exp
6×cbrt-prod
5×pow1 add-exp-log distribute-lft-out
4×expm1-log1p-u fma-neg add-cbrt-cube log1p-expm1-u
3×log-prod
2×pow1/3 diff-log distribute-lft-out--
1×sub-neg flip3-- rem-log-exp associate--l+ sum-log log-pow flip-- difference-of-squares
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
51.0ms
(- (+ x 1.0) x)
1.0ms
(log (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt x)
258.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)
711.0ms
(log (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))

simplify2.0s

Counts
87 → 87
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02331860
16471663
229871440
done50021380

prune430.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(exp (- (log 1.0) (log (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))))
8.4b
(log (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity exp-sum
19×add-sqr-sqrt
17×pow1 add-cube-cbrt
16×prod-diff
13×log-pow
8×exp-prod
6×cbrt-prod log-prod
5×add-exp-log add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out--
3×associate--l+
2×pow1/3 rem-exp-log
1×sub-neg exp-diff diff-log rem-log-exp difference-of-squares
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
35.0ms
(exp (- (log 1.0) (log (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))))
1.0ms
(log (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))

series2.3s

Counts
4 → 12
Calls
4 calls:
321.0ms
(cbrt x)
271.0ms
(cbrt x)
995.0ms
(exp (- (log 1.0) (log (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))))
726.0ms
(log (fma (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))))

simplify2.5s

Counts
93 → 93
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03345346
19234209
241273496
done50003462

prune572.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

regimes88.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01228
11628
done1628

end0.0ms

sample1.3s

Algorithm
intervals
Results
498.0ms1708×body1280valid
252.0ms1219×body640valid
232.0ms4119×body80valid
75.0ms605×body320valid
29.0ms349×body160valid