Details

Time bar (total: 18.9s)

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize13.0ms

Local error

Found 1 expressions with local error:

15.6b
(cbrt (/ g (* 2.0 a)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
1×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
1 → 18
Calls
1 calls:
10.0ms
(cbrt (/ g (* 2.0 a)))

series135.0ms

Counts
1 → 3
Calls
1 calls:
135.0ms
(cbrt (/ g (* 2.0 a)))

simplify5.3s

Counts
21 → 21
Iterations

Useful iterations: 6 (3.8s)

IterNodesCost
064213
196210
2152196
3335190
4774181
51851177
64613175
done5000175

prune87.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-/l*
5×add-exp-log
4×associate-/r*
3×pow1 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow1/3
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 72
Calls
3 calls:
8.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt g)
4.0ms
(cbrt (* 2.0 a))

series687.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
275.0ms
(cbrt g)
274.0ms
(cbrt (* 2.0 a))

simplify2.6s

Counts
81 → 81
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0129817
1212788
2450750
31092737
43832728
done5000722

prune339.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
0.3b
(/ (cbrt (* 2.0 a)) (cbrt g))
0.6b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
239×cbrt-prod
185×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×associate-/r*
11×add-exp-log
10×associate-/l*
9×div-inv
5×add-cbrt-cube
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg pow1/3 clear-num
1×associate-/r/
Counts
4 → 291
Calls
4 calls:
34.0ms
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
8.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
1.0ms
(cbrt g)
6.0ms
(cbrt (* 2.0 a))

series915.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
131.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
282.0ms
(cbrt g)
307.0ms
(cbrt (* 2.0 a))

simplify2.0s

Counts
303 → 303
Iterations

Useful iterations: done (2.0s)

IterNodesCost
04055694
18064563
212984007
328613885
done50013852

prune660.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-/l*
5×add-exp-log
4×associate-/r*
3×pow1 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow1/3
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 72
Calls
3 calls:
14.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt g)
4.0ms
(cbrt (* 2.0 a))

series1.3s

Counts
3 → 9
Calls
3 calls:
187.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
654.0ms
(cbrt g)
418.0ms
(cbrt (* 2.0 a))

simplify3.2s

Counts
81 → 81
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0129817
1212788
2450750
31092737
43832728
done5000722

prune296.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

regimes585.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01010
1139
done139

end0.0ms

sample669.0ms

Algorithm
intervals
Results
359.0ms8000×body80valid