Details

Time bar (total: 12.3s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize5.0ms

Local error

Found 1 expressions with local error:

14.3b
(cbrt (/ g (* 2.0 a)))

rewrite5.0ms

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:
5.0ms
(cbrt (/ g (* 2.0 a)))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(cbrt (/ g (* 2.0 a)))

simplify3.6s

Counts
21 → 21
Iterations

Useful iterations: 6 (2.5s)

IterNodesCost
064213
196210
2152196
3335190
4774181
51851177
64613175
done5000175

prune57.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:
7.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
4.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series510.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
207.0ms
(cbrt (* 2.0 a))
179.0ms
(cbrt g)

simplify2.0s

Counts
81 → 81
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0129817
1212788
2450750
31092737
43840728
done5000722

prune197.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
0.3b
(/ (cbrt (* 2.0 a)) (cbrt g))
0.6b
(cbrt (* 2.0 a))
0.6b
(cbrt g)

rewrite47.0ms

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:
16.0ms
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
9.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
4.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series611.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
106.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
204.0ms
(cbrt (* 2.0 a))
181.0ms
(cbrt g)

simplify1.3s

Counts
303 → 303
Iterations

Useful iterations: done (1.3s)

IterNodesCost
04055694
18064563
212984007
328613885
done50013852

prune386.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b
(cbrt g)
0.6b
(cbrt (/ 1 (* 2.0 a)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
6×times-frac associate-*l*
5×pow1 add-exp-log
4×pow1/3 unswap-sqr
3×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
18.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms
(cbrt g)
10.0ms
(cbrt (/ 1 (* 2.0 a)))

series501.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
192.0ms
(cbrt g)
201.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify2.2s

Counts
75 → 75
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0115711
1203675
2458633
31172618
43293609
done5000597

prune158.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11210
done1210

end0.0ms

sample337.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid