Details

Time bar (total: 23.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify7.0ms

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: 15.8b

localize11.0ms

Local error

Found 1 expressions with local error:

15.5b
(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)))

series171.0ms

Counts
1 → 3
Calls
1 calls:
171.0ms
(cbrt (/ g (* 2.0 a)))

simplify5.1s

Counts
21 → 21
Iterations

Useful iterations: 6 (3.8s)

IterNodesCost
064213
196210
2152196
3335190
4774181
51851177
64613175
done5000175

prune84.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* 2.0 a))
0.3b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.5b
(cbrt g)
0.6b
(cbrt (/ 1 (* 2.0 a)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
22×add-sqr-sqrt
17×add-exp-log
14×add-cube-cbrt *-un-lft-identity
10×associate-*r*
9×pow1 times-frac add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u pow1/3 div-exp prod-exp log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down div-inv associate-/l*
2×cbrt-undiv rec-exp cbrt-div pow-flip 1-exp cbrt-unprod
1×frac-2neg associate-*r/ clear-num associate-/r* *-commutative inv-pow
Counts
4 → 96
Calls
4 calls:
23.0ms
(/ 1 (* 2.0 a))
32.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms
(cbrt g)
8.0ms
(cbrt (/ 1 (* 2.0 a)))

series707.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 1 (* 2.0 a))
131.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
250.0ms
(cbrt g)
302.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify5.7s

Counts
108 → 108
Iterations

Useful iterations: 4 (4.0s)

IterNodesCost
0149930
1284856
2687792
31873777
44981768
done5000768

prune442.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt g) (* (cbrt -0.5) (cbrt (/ -1 a))))
0.4b
(* (cbrt -0.5) (cbrt (/ -1 a)))
0.5b
(cbrt g)
0.6b
(cbrt (/ -1 a))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
38×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
20×times-frac
17×associate-*r*
12×associate-*l*
11×pow1 add-exp-log
7×pow1/3 pow-prod-down
6×unswap-sqr
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-div associate-*r/
2×*-commutative div-inv
Counts
4 → 105
Calls
4 calls:
42.0ms
(* (cbrt g) (* (cbrt -0.5) (cbrt (/ -1 a))))
26.0ms
(* (cbrt -0.5) (cbrt (/ -1 a)))
1.0ms
(cbrt g)
3.0ms
(cbrt (/ -1 a))

series1.6s

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt g) (* (cbrt -0.5) (cbrt (/ -1 a))))
375.0ms
(* (cbrt -0.5) (cbrt (/ -1 a)))
316.0ms
(cbrt g)
696.0ms
(cbrt (/ -1 a))

simplify3.0s

Counts
117 → 117
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01711115
13111077
28571005
32827988
done5001967

prune521.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
91×cbrt-prod
60×add-sqr-sqrt
49×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
41×associate-*r*
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 associate-*l* pow-prod-down
6×cbrt-div
5×add-cbrt-cube
4×expm1-log1p-u associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*l/
Counts
4 → 137
Calls
4 calls:
93.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (cbrt 1) a)))
36.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
2.0ms
(cbrt g)
7.0ms
(cbrt (/ (cbrt 1) a))

series1.1s

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (cbrt 1) a)))
327.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
314.0ms
(cbrt g)
299.0ms
(cbrt (/ (cbrt 1) a))

simplify3.0s

Counts
149 → 149
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02501724
14861416
210831326
332561308
done50001245

prune575.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes546.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01010
1139
done139

end0.0ms

sample756.0ms

Algorithm
intervals
Results
443.0ms8000×body80valid