Details

Time bar (total: 20.4s)

sample29.0ms

Algorithm
intervals
Results
12.0ms256×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: 13.8b

localize11.0ms

Local error

Found 1 expressions with local error:

13.6b
(cbrt (/ g (* 2.0 a)))

rewrite10.0ms

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:
9.0ms
(cbrt (/ g (* 2.0 a)))

series180.0ms

Counts
1 → 3
Calls
1 calls:
180.0ms
(cbrt (/ g (* 2.0 a)))

simplify5.8s

Counts
21 → 21
Iterations

Useful iterations: 6 (3.9s)

IterNodesCost
064213
196210
2152196
3335190
4774181
51851177
64613175
done5000175

prune98.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.5b
(cbrt (/ 1 (* 2.0 a)))
0.6b
(cbrt g)

rewrite41.0ms

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:
31.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
8.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series770.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
313.0ms
(cbrt (/ 1 (* 2.0 a)))
330.0ms
(cbrt g)

simplify3.4s

Counts
75 → 75
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0115711
1203679
2458633
31171618
43351609
done5001597

prune288.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
0.5b
(* (cbrt (/ 1 2.0)) (cbrt g))
0.6b
(cbrt (/ 1 a))
0.6b
(cbrt g)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×add-sqr-sqrt
32×*-un-lft-identity
31×times-frac
30×add-cube-cbrt
22×associate-*r*
17×associate-*l*
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 pow-prod-down
6×cbrt-div
5×add-cbrt-cube
4×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*r/
Counts
4 → 119
Calls
4 calls:
53.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
26.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
2.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series1.2s

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
372.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
332.0ms
(cbrt (/ 1 a))
276.0ms
(cbrt g)

simplify3.6s

Counts
131 → 131
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02071350
13961241
29471141
332131123
done50001057

prune538.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
64×add-sqr-sqrt
46×times-frac
36×*-un-lft-identity
33×add-cube-cbrt
16×associate-*r* associate-*l*
12×unswap-sqr
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 div-inv
3×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down
1×frac-times associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
3 → 109
Calls
3 calls:
25.0ms
(* (cbrt (/ g 2.0)) (cbrt (/ 1 a)))
2.0ms
(cbrt (/ 1 a))
2.0ms
(cbrt (/ g 2.0))

series744.0ms

Counts
3 → 9
Calls
3 calls:
181.0ms
(* (cbrt (/ g 2.0)) (cbrt (/ 1 a)))
261.0ms
(cbrt (/ 1 a))
301.0ms
(cbrt (/ g 2.0))

simplify2.0s

Counts
118 → 118
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01991308
13331226
26931154
316981139
done50011127

prune346.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0b

regimes514.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1129
done129

end0.0ms

sample673.0ms

Algorithm
intervals
Results
352.0ms8000×body80valid