Details

Time bar (total: 18.6s)

sample119.0ms

Algorithm
intervals
Results
40.0ms256×body80valid
39.0ms245×body80nan

simplify2.2s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 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)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×associate-*l*
22×times-frac add-cbrt-cube add-exp-log
21×*-un-lft-identity
20×add-cube-cbrt
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
*-commutative insert-posit16 add-log-exp
distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp difference-of-squares
div-inv
Counts
3 → 117
Calls
3 calls:
Slowest
64.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
19.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
13.0ms
(* 3 (* v v))

series658.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
335.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
290.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
32.0ms
(* 3 (* v v))

simplify1.2s

Counts
126 → 126

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4 (sqrt 2))
1.0b
(/ 4 (sqrt 2))
1.0b
(/ 4 (sqrt 2))
1.0b
(* (* (- 1 (* v v)) (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (sqrt 2)))) (* (- 1 (* v v)) (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (sqrt 2)))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
90×add-cbrt-cube add-exp-log
54×times-frac
49×add-sqr-sqrt frac-times *-un-lft-identity add-cube-cbrt
43×pow1
40×prod-exp cbrt-unprod
36×sqrt-prod
29×associate-*l/
27×cbrt-undiv div-exp
24×flip3-- flip--
18×associate-/r*
17×pow-prod-down associate-*r/
associate-/l*
pow-sqr pow-prod-up insert-posit16 add-log-exp
clear-num frac-2neg div-inv
pow-plus
pow2 swap-sqr associate-*r* associate-*l* *-commutative
Counts
4 → 214
Calls
4 calls:
Slowest
142.0ms
(* (* (- 1 (* v v)) (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (sqrt 2)))) (* (- 1 (* v v)) (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (sqrt 2)))))
10.0ms
(/ 4 (sqrt 2))
4.0ms
(/ 4 (sqrt 2))
4.0ms
(/ 4 (sqrt 2))

series259.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
259.0ms
(* (* (- 1 (* v v)) (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (sqrt 2)))) (* (- 1 (* v v)) (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (sqrt 2)))))
0.0ms
(/ 4 (sqrt 2))
0.0ms
(/ 4 (sqrt 2))
0.0ms
(/ 4 (sqrt 2))

simplify1.4s

Counts
220 → 220

prune3.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
100×frac-times
52×sqrt-div
50×associate-*l/
44×flip3-- flip--
42×add-sqr-sqrt
37×add-cbrt-cube add-exp-log
36×associate-*r/
27×*-un-lft-identity associate-*l*
25×pow1
24×flip3-+ flip-+
22×times-frac add-cube-cbrt
19×prod-exp cbrt-unprod
17×associate-*r* sqrt-prod
13×pow-prod-down
unswap-sqr
*-commutative insert-posit16 add-log-exp
distribute-rgt-in cbrt-undiv distribute-lft-in div-exp
sub-neg difference-of-squares
div-inv distribute-lft-out distribute-lft-out--
Counts
4 → 198
Calls
4 calls:
Slowest
198.0ms
(* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (+ 1 v)) (- 1 v))
59.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (+ 1 v))
21.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
17.0ms
(* 3 (* v v))

series840.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
387.0ms
(* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (+ 1 v)) (- 1 v))
211.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (+ 1 v))
204.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
37.0ms
(* 3 (* v v))

simplify819.0ms

Counts
210 → 210

prune2.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.8s8216×body80nan
1.2s8000×body80valid