Details

Time bar (total: 9.9s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify24.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize11.0ms

Local error

Found 1 expressions with local error:

14.8b
(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 cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
1 → 16
Calls
1 calls:
10.0ms
(cbrt (/ g (* 2.0 a)))

series142.0ms

Counts
1 → 3
Calls
1 calls:
142.0ms
(cbrt (/ g (* 2.0 a)))

simplify1.1s

Counts
19 → 19

prune93.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

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))

rewrite27.0ms

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 add-cbrt-cube add-log-exp
2×pow1/3
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 66
Calls
3 calls:
15.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
2.0ms
(cbrt g)
7.0ms
(cbrt (* 2.0 a))

series1.0s

Counts
3 → 9
Calls
3 calls:
152.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
271.0ms
(cbrt g)
577.0ms
(cbrt (* 2.0 a))

simplify1.1s

Counts
75 → 75

prune391.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

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)))

rewrite36.0ms

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×add-cbrt-cube add-log-exp
2×cbrt-div pow-prod-down div-inv
1×associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
25.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
1.0ms
(cbrt g)
7.0ms
(cbrt (/ 1 (* 2.0 a)))

series664.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
260.0ms
(cbrt g)
291.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify944.0ms

Counts
69 → 69

prune251.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
69×cbrt-prod
43×times-frac
38×*-un-lft-identity
30×add-cube-cbrt
22×associate-*l*
17×associate-*r*
16×unswap-sqr
11×pow1 add-exp-log
9×cbrt-div
7×pow1/3 pow-prod-down
5×associate-*r/ add-cbrt-cube
4×prod-exp cbrt-unprod add-log-exp
3×div-inv
2×frac-times associate-*l/ *-commutative
Counts
4 → 121
Calls
4 calls:
53.0ms
(* (cbrt g) (* (cbrt (/ 1 2.0)) (cbrt (/ 1 a))))
48.0ms
(* (cbrt (/ 1 2.0)) (cbrt (/ 1 a)))
5.0ms
(cbrt (/ 1 a))
2.0ms
(cbrt g)

series912.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt g) (* (cbrt (/ 1 2.0)) (cbrt (/ 1 a))))
281.0ms
(* (cbrt (/ 1 2.0)) (cbrt (/ 1 a)))
239.0ms
(cbrt (/ 1 a))
234.0ms
(cbrt g)

simplify1.5s

Counts
133 → 133

prune520.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes388.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify39.0ms

end0.0ms

sample583.0ms

Algorithm
intervals
Results
306.0ms8000×body80valid