Details

Time bar (total: 10.8s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×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: 15.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ g (* 2.0 a))
14.6b
(cbrt (/ g (* 2.0 a)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log cbrt-prod add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×associate-/l*
2×pow1 cbrt-undiv div-exp div-inv add-log-exp
1×cbrt-div frac-2neg pow1/3 prod-exp clear-num associate-/r* cbrt-unprod
Counts
2 → 37
Calls
2 calls:
14.0ms
(/ g (* 2.0 a))
8.0ms
(cbrt (/ g (* 2.0 a)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ g (* 2.0 a))
127.0ms
(cbrt (/ g (* 2.0 a)))

simplify1.2s

Counts
43 → 43
Iterations

Useful iterations: done (1.2s)

IterNodesCost
089384
1171378
2478334
32172328
done5001319

prune128.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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×pow1/3 div-exp prod-exp 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 → 88
Calls
4 calls:
25.0ms
(/ 1 (* 2.0 a))
34.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
2.0ms
(cbrt g)
12.0ms
(cbrt (/ 1 (* 2.0 a)))

series691.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1 (* 2.0 a))
153.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
238.0ms
(cbrt g)
275.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify687.0ms

Counts
100 → 100
Iterations

Useful iterations: done (684.0ms)

IterNodesCost
0141878
1290804
21041740
done5000725

prune323.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt g) (* (cbrt (/ 1 2.0)) (cbrt (/ 1 a))))
0.4b
(* (cbrt (/ 1 2.0)) (cbrt (/ 1 a)))
0.6b
(cbrt g)
0.7b
(cbrt (/ 1 a))

rewrite118.0ms

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:
46.0ms
(* (cbrt g) (* (cbrt (/ 1 2.0)) (cbrt (/ 1 a))))
51.0ms
(* (cbrt (/ 1 2.0)) (cbrt (/ 1 a)))
2.0ms
(cbrt g)
14.0ms
(cbrt (/ 1 a))

series1.1s

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt g) (* (cbrt (/ 1 2.0)) (cbrt (/ 1 a))))
343.0ms
(* (cbrt (/ 1 2.0)) (cbrt (/ 1 a)))
274.0ms
(cbrt g)
289.0ms
(cbrt (/ 1 a))

simplify1.1s

Counts
133 → 133
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02031570
13891446
213261348
done50011334

prune610.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt g)
0.7b
(cbrt (/ 1 a))
1.0b
(sqrt (cbrt (/ 1 2.0)))
1.0b
(sqrt (cbrt (/ 1 2.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod
38×add-sqr-sqrt
32×sqrt-prod
31×times-frac
30×*-un-lft-identity
28×add-cube-cbrt
8×rem-sqrt-square
6×pow1
4×add-exp-log sqrt-pow1 pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div div-inv
2×pow1/2 sqrt-div
Counts
4 → 95
Calls
4 calls:
2.0ms
(cbrt g)
5.0ms
(cbrt (/ 1 a))
10.0ms
(sqrt (cbrt (/ 1 2.0)))
10.0ms
(sqrt (cbrt (/ 1 2.0)))

series543.0ms

Counts
4 → 8
Calls
4 calls:
304.0ms
(cbrt g)
239.0ms
(cbrt (/ 1 a))
0.0ms
(sqrt (cbrt (/ 1 2.0)))
0.0ms
(sqrt (cbrt (/ 1 2.0)))

simplify1.8s

Counts
103 → 103
Iterations

Useful iterations: 3 (259.0ms)

IterNodesCost
0146878
1204725
2410701
31117691
43155691
done5000691

prune433.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 0b

regimes569.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11512
done1512

end0.0ms

sample1.1s

Algorithm
intervals
Results
711.0ms8000×body80valid