Details

Time bar (total: 15.8s)

sample25.0ms

Algorithm
intervals
Results
7.0ms51×body1280valid
4.0ms39×body640valid
4.0ms130×body80valid
2.0ms22×body320valid
1.0ms14×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: 29.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
4.7b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite94.0ms

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:
8.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
75.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series640.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(cbrt (+ x 1.0))
269.0ms
(cbrt x)
266.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.3s

Counts
108 → 108
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01942160
14331776
29941468
329991265
done50001254

prune312.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
29.9b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
15×cbrt-prod
9×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
4×pow1 add-exp-log expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×fma-udef distribute-lft-out
Counts
4 → 61
Calls
4 calls:
14.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
5.0ms
(cbrt (cbrt (+ x 1.0)))
1.0ms
(cbrt x)
0.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

series938.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
130.0ms
(cbrt (cbrt (+ x 1.0)))
284.0ms
(cbrt x)
377.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (- (cbrt x)))

simplify2.3s

Counts
73 → 73
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02221223
14661176
211871091
334541034
done50001030

prune417.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
29.7b
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0))))) (- (cbrt x)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
15×cbrt-prod
9×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
4×pow1 add-exp-log expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×fma-udef distribute-lft-out
Counts
4 → 61
Calls
4 calls:
27.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
8.0ms
(cbrt (cbrt (+ x 1.0)))
2.0ms
(cbrt x)
1.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0))))) (- (cbrt x)))

series943.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
110.0ms
(cbrt (cbrt (+ x 1.0)))
278.0ms
(cbrt x)
396.0ms
(fma (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0))))) (- (cbrt x)))

simplify2.4s

Counts
73 → 73
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02231392
14701345
211991234
335091177
done50001174

prune567.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
15.6b
(+ (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0)))))) (- (cbrt x)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
15×cbrt-prod
9×*-un-lft-identity
8×flip3-+ flip-+ add-log-exp
7×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u
3×pow1/3
2×associate-*r/ associate-*l/ sum-log
1×+-commutative neg-sub0 associate-+r- fma-def unsub-neg neg-log distribute-lft-out
Counts
4 → 69
Calls
4 calls:
14.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
8.0ms
(cbrt (cbrt (+ x 1.0)))
2.0ms
(cbrt x)
192.0ms
(+ (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0)))))) (- (cbrt x)))

series802.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
110.0ms
(cbrt (cbrt (+ x 1.0)))
301.0ms
(cbrt x)
244.0ms
(+ (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0)))))) (- (cbrt x)))

simplify1.7s

Counts
81 → 81
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02411693
15521615
215471492
done50011406

prune494.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.5b

regimes70.0ms

Accuracy

98.3% (0.4b remaining)

Error of 9.1b against oracle of 8.7b and baseline of 29.9b

bsearch124.0ms

Steps
ItersRangePoint
10
1.5244367550608482e-07
9556.682540875734
0.049708713621913155
10
-4418200179179808.0
-1501.2167507114543
-3568.684213158036

simplify25.0ms

Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
04784
15282
done5282

end0.0ms

sample1.2s

Algorithm
intervals
Results
386.0ms1750×body1280valid
334.0ms4096×body80valid
184.0ms1223×body640valid
71.0ms616×body320valid
22.0ms315×body160valid