Details

Time bar (total: 8.7s)

sample29.0ms

Algorithm
intervals
Results
9.0ms272×body80nan
9.0ms256×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
26919
316619
431619
557519
682519
792019
893819
done93819

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b
(* 3.0 (* v v))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
4×add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
31.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms
(* 3.0 (* v v))

series613.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
77.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
193.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms
(* 3.0 (* v v))

simplify988.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (390.0ms)

IterNodesCost
02783102
18042836
230192648
done50002648

prune383.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
0.0b
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
0.1b
(* 3.0 (* v v))
1.0b
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×cube-div
20×frac-times cbrt-div sqrt-div
18×cbrt-prod
17×add-exp-log add-sqr-sqrt
16×flip3-- add-cbrt-cube flip--
14×pow1 associate-*l*
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity associate-*l/
6×prod-exp cbrt-unprod
5×associate-*r* pow-prod-down
4×add-log-exp unswap-sqr sqr-pow
3×cube-mult unpow-prod-down pow-unpow unpow3 cube-prod pow-exp rem-cube-cbrt
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in *-commutative
1×cbrt-undiv pow-to-exp pow1/3 div-exp rem-cbrt-cube difference-of-squares
Counts
4 → 120
Calls
4 calls:
16.0ms
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
3.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
7.0ms
(* 3.0 (* v v))
12.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series1.0s

Counts
4 → 12
Calls
4 calls:
318.0ms
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
176.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
24.0ms
(* 3.0 (* v v))
490.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify984.0ms

Counts
132 → 132
Iterations

Useful iterations: 2 (332.0ms)

IterNodesCost
02823477
17832978
232412810
done50002810

prune417.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* 0.25 (* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))) (+ (* 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3))) (* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))))
0.2b
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
0.2b
(* (sqrt 2.0) (pow v 2))
0.2b
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
28×add-sqr-sqrt
20×add-cbrt-cube
19×associate-*r*
18×prod-exp
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
9×add-log-exp unswap-sqr
8×pow1 cbrt-unprod
6×times-frac
5×unpow-prod-down
4×div-exp
3×pow-to-exp pow-exp sum-log *-commutative unpow2 sqr-pow
2×cbrt-undiv pow-prod-down
1×+-commutative associate-+r+ flip3-+ associate-*r/ flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
62.0ms
(+ (* 0.25 (* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))) (+ (* 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3))) (* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))))
14.0ms
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
8.0ms
(* (sqrt 2.0) (pow v 2))
11.0ms
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

series799.0ms

Counts
4 → 12
Calls
4 calls:
542.0ms
(+ (* 0.25 (* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))) (+ (* 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3))) (* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))))
115.0ms
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
50.0ms
(* (sqrt 2.0) (pow v 2))
92.0ms
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

simplify787.0ms

Counts
113 → 113
Iterations

Useful iterations: done (784.0ms)

IterNodesCost
01812024
14741847
219641656
done50011648

prune402.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722
12022
done2022

end0.0ms

sample736.0ms

Algorithm
intervals
Results
280.0ms8079×body80nan
273.0ms8000×body80valid