Details

Time bar (total: 13.2s)

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: 16.9b

localize5.0ms

Local error

Found 1 expressions with local error:

16.5b
(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)))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(cbrt (/ g (* 2.0 a)))

simplify3.8s

Counts
21 → 21
Iterations

Useful iterations: 6 (2.8s)

IterNodesCost
064213
196210
2152196
3335190
4774181
51851177
64613175
done5000175

prune62.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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))

series522.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
182.0ms
(cbrt g)
208.0ms
(cbrt (* 2.0 a))

simplify1.8s

Counts
81 → 81
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0129817
1212788
2450750
31092737
43832728
done5000722

prune201.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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)
7.0ms
(cbrt (/ 1 (* 2.0 a)))

series512.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
187.0ms
(cbrt g)
213.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify2.2s

Counts
75 → 75
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0115711
1203675
2458633
31172618
43293609
done5000597

prune187.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
60×add-sqr-sqrt
49×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
41×associate-*r*
18×sqrt-prod
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:
43.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
18.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
3.0ms
(cbrt (/ (sqrt 1) a))
1.0ms
(cbrt g)

series729.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
232.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
187.0ms
(cbrt (/ (sqrt 1) a))
186.0ms
(cbrt g)

simplify2.0s

Counts
149 → 149
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02411724
14691416
210621326
332461308
done50011245

prune349.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11613
done1613

end0.0ms

sample339.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid