Details

Time bar (total: 14.7s)

sample65.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
18.0ms240×body80nan

simplify1.1s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite217.0ms

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:
8.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
104.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
69.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms
(* 3.0 (* v v))

series986.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
461.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
353.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms
(* 3.0 (* v v))

simplify1.7s

Counts
140 → 140

prune605.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
33.0ms
(* 3.0 (* v v))
46.0ms
(* 3.0 (* v v))
23.0ms
(* 3.0 (* v v))
18.0ms
(* 3.0 (* v v))

series190.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 3.0 (* v v))
47.0ms
(* 3.0 (* v v))
53.0ms
(* 3.0 (* v v))
48.0ms
(* 3.0 (* v v))

simplify1.7s

Counts
88 → 88

prune414.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize68.0ms

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)))))
0.1b
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
0.3b
(* (sqrt 2.0) (pow v 2))
0.3b
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

rewrite332.0ms

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:
197.0ms
(+ (* 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)))))
54.0ms
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
15.0ms
(* (sqrt 2.0) (pow v 2))
58.0ms
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
746.0ms
(+ (* 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)))))
183.0ms
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
75.0ms
(* (sqrt 2.0) (pow v 2))
140.0ms
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

simplify1.3s

Counts
113 → 113

prune654.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.5s

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s8064×body80nan
739.0ms8000×body80valid