Details

Time bar (total: 20.8s)

sample56.0ms

Algorithm
intervals
Results
23.0ms257×body80nan
21.0ms256×body80valid

simplify1.9s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3 (* v v))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b
(sqrt (- 1 (* 3 (* v v))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×*-un-lft-identity add-cbrt-cube add-exp-log
22×times-frac add-cube-cbrt
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
insert-posit16 add-log-exp
*-commutative
distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 133
Calls
4 calls:
Slowest
55.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
28.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
23.0ms
(* 3 (* v v))
7.0ms
(sqrt (- 1 (* 3 (* v v))))

series703.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
307.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
245.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
107.0ms
(sqrt (- 1 (* 3 (* v v))))
43.0ms
(* 3 (* v v))

simplify1.3s

Counts
145 → 145

prune2.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))
0.0b
(* (/ (sqrt 2) 4) (* (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (sqrt (cbrt (- 1 (* 3 (* v v)))))))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
108×cbrt-div
84×sqrt-div
82×frac-times
54×flip3-- flip--
42×associate-*r/
31×add-cbrt-cube associate-*l* add-exp-log
29×associate-*l/
24×pow1
23×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
15×prod-exp cbrt-unprod
12×pow-prod-down
sqrt-prod
associate-*r* *-commutative insert-posit16 add-log-exp
unswap-sqr
cbrt-undiv div-exp
div-inv
Counts
4 → 155
Calls
4 calls:
Slowest
173.0ms
(* (/ (sqrt 2) 4) (* (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (sqrt (cbrt (- 1 (* 3 (* v v)))))))
21.0ms
(* 3 (* v v))
17.0ms
(* 3 (* v v))
16.0ms
(* 3 (* v v))

series349.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
228.0ms
(* (/ (sqrt 2) 4) (* (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (sqrt (cbrt (- 1 (* 3 (* v v)))))))
51.0ms
(* 3 (* v v))
37.0ms
(* 3 (* v v))
32.0ms
(* 3 (* v v))

simplify1.2s

Counts
167 → 167

prune2.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3 (* v v))
0.0b
(* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))
0.0b
(sqrt (- 1 (* 3 (* v v))))
0.0b
(- 1 (* 3 (* v v)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×pow1
11×add-cbrt-cube add-exp-log
10×*-un-lft-identity
associate-*l* add-cube-cbrt
flip3-- sqrt-div flip--
sqrt-prod
associate-*r* add-log-exp
frac-times pow-prod-down prod-exp cbrt-unprod insert-posit16
sub-neg unswap-sqr
distribute-rgt-in distribute-lft-in associate-*l/ associate-*r/ *-commutative difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 86
Calls
4 calls:
Slowest
25.0ms
(* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))
13.0ms
(* 3 (* v v))
10.0ms
(- 1 (* 3 (* v v)))
7.0ms
(sqrt (- 1 (* 3 (* v v))))

series400.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
193.0ms
(* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v)))
87.0ms
(- 1 (* 3 (* v v)))
83.0ms
(sqrt (- 1 (* 3 (* v v))))
36.0ms
(* 3 (* v v))

simplify1.7s

Counts
98 → 98

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))
0.1b
(* 3 (* v v))
0.1b
(* (* 3 (* v v)) (* 3 (* v v)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
75×pow-prod-down
55×add-cbrt-cube add-exp-log
36×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
pow-sqr pow-prod-up
*-un-lft-identity add-cube-cbrt
associate-*r* *-commutative insert-posit16 add-log-exp
pow-plus unswap-sqr
pow2 swap-sqr
Counts
4 → 121
Calls
4 calls:
Slowest
79.0ms
(* (* 3 (* v v)) (* 3 (* v v)))
23.0ms
(* 3 (* v v))
20.0ms
(* 3 (* v v))
12.0ms
(* 3 (* v v))

series210.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(* (* 3 (* v v)) (* 3 (* v v)))
58.0ms
(* 3 (* v v))
50.0ms
(* 3 (* v v))
32.0ms
(* 3 (* v v))

simplify1.4s

Counts
133 → 133

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s8000×body80valid
1.3s7927×body80nan