Details

Time bar (total: 18.5s)

sample88.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
24.0ms259×body80nan

simplify986.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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

rewrite207.0ms

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:
10.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
68.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
95.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
24.0ms
(* 3.0 (* v v))

series883.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
258.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
483.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
50.0ms
(* 3.0 (* v v))

simplify1.6s

Counts
140 → 140

prune589.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
29×associate-*l*
28×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
21×pow1
17×sqrt-prod
14×associate-*r*
13×prod-exp cbrt-unprod
10×pow-prod-down
8×sqrt-div unswap-sqr
7×associate-*l/
4×frac-times flip3-- associate-*r/ *-commutative flip-- add-log-exp
2×cbrt-undiv div-exp
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out div-inv
Counts
4 → 119
Calls
4 calls:
42.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
27.0ms
(* 3.0 (* v v))
33.0ms
(* 3.0 (* v v))
98.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

series704.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms
(* 3.0 (* v v))
31.0ms
(* 3.0 (* v v))
320.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

simplify1.4s

Counts
131 → 131

prune573.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
75×pow-prod-down
55×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
9×pow-sqr pow-prod-up
7×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp
3×pow-plus unswap-sqr
1×pow2 swap-sqr
Counts
4 → 117
Calls
4 calls:
107.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
30.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))
24.0ms
(* 3.0 (* v v))

series157.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
27.0ms
(* 3.0 (* v v))
32.0ms
(* 3.0 (* v v))
39.0ms
(* 3.0 (* v v))

simplify2.6s

Counts
129 → 129

prune390.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite467.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-div
58×frac-times
38×associate-*r/
34×sqrt-prod
29×flip3-- associate-*l* flip--
27×pow1
24×add-sqr-sqrt
23×add-exp-log associate-*l/ add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
18×times-frac
16×pow-prod-down
12×prod-exp cbrt-unprod
6×associate-*r*
4×sqrt-pow1 pow1/2 add-log-exp
3×*-commutative
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-unprod
1×rem-sqrt-square div-inv difference-of-squares unswap-sqr
Counts
4 → 149
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
327.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
17.0ms
(* 3.0 (* v v))
110.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
129.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
520.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
45.0ms
(* 3.0 (* v v))
365.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify2.2s

Counts
161 → 161

prune720.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

-23.1% (0.0b remaining)

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

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s8100×body80nan
734.0ms8000×body80valid