Details

Time bar (total: 15.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize7.0ms

Local error

Found 1 expressions with local error:

15.1b
(cbrt (/ g (* 2.0 a)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
1×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log div-inv add-log-exp
Counts
1 → 16
Calls
1 calls:
4.0ms
(cbrt (/ g (* 2.0 a)))

series140.0ms

Counts
1 → 3
Calls
1 calls:
140.0ms
(cbrt (/ g (* 2.0 a)))

simplify1.8s

Counts
19 → 19
Iterations
IterNodes
done5001
52328
4896
3292
2148
194
062

prune158.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
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×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
14.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
5.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series735.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
291.0ms
(cbrt (/ 1 (* 2.0 a)))
290.0ms
(cbrt g)

simplify2.9s

Counts
69 → 69
Iterations
IterNodes
done5017
44102
31252
2478
1201
0109

prune422.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
38×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
22×associate-*l*
20×times-frac
11×pow1 add-exp-log
7×pow1/3 associate-*r* pow-prod-down
6×unswap-sqr
5×add-cbrt-cube
4×prod-exp cbrt-unprod add-log-exp
3×cbrt-div
2×associate-*l/ *-commutative div-inv
1×associate-*r/
Counts
4 → 97
Calls
4 calls:
38.0ms
(* (cbrt g) (* (cbrt (/ -1 a)) (cbrt -0.5)))
15.0ms
(* (cbrt (/ -1 a)) (cbrt -0.5))
2.0ms
(cbrt (/ -1 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt g) (* (cbrt (/ -1 a)) (cbrt -0.5)))
326.0ms
(* (cbrt (/ -1 a)) (cbrt -0.5))
304.0ms
(cbrt (/ -1 a))
262.0ms
(cbrt g)

simplify2.2s

Counts
109 → 109
Iterations
IterNodes
done5010
32736
2905
1322
0164

prune740.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-prod
45×add-sqr-sqrt
37×*-un-lft-identity add-cube-cbrt
36×times-frac
33×associate-*r*
26×distribute-lft-neg-in distribute-rgt-neg-in
6×associate-*l*
5×pow1 add-exp-log
4×pow1/3 div-inv unswap-sqr
3×add-cbrt-cube add-log-exp
2×cbrt-div neg-mul-1 pow-prod-down distribute-neg-frac
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 106
Calls
3 calls:
26.0ms
(* (cbrt g) (cbrt (- (/ -0.5 a))))
9.0ms
(cbrt (- (/ -0.5 a)))
1.0ms
(cbrt g)

series663.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(* (cbrt g) (cbrt (- (/ -0.5 a))))
270.0ms
(cbrt (- (/ -0.5 a)))
254.0ms
(cbrt g)

simplify2.2s

Counts
115 → 115
Iterations
IterNodes
done5000
32177
2927
1358
0205

prune963.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

regimes671.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample636.0ms

Algorithm
intervals
Results
348.0ms8000×body80valid