Details

Time bar (total: 49.3s)

sample56.0ms

Algorithm
intervals
Results
24.0ms293×body80nan
20.0ms256×body80valid

simplify171.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
171.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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
(- 1 (* 3 (* v v)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
26×associate-*l*
23×add-cbrt-cube add-exp-log
22×*-un-lft-identity times-frac
21×add-cube-cbrt
18×frac-times
17×sqrt-prod
16×pow1 sqrt-div
15×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×add-log-exp
4×insert-posit16
3×sub-neg *-commutative
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp difference-of-squares
1×diff-log div-inv
Counts
4 → 130
Calls
4 calls:
Slowest
59.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
37.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
22.0ms
(* 3 (* v v))
10.0ms
(- 1 (* 3 (* v v)))

series628.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
292.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
230.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
72.0ms
(- 1 (* 3 (* v v)))
35.0ms
(* 3 (* v v))

simplify16.6s

Counts
119 → 142
Calls
119 calls:
Slowest
866.0ms
(* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
781.0ms
(* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))
472.0ms
(sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))
414.0ms
(* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))
411.0ms
(* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9 (* v v))
0.1b
(* (* v (* v v)) 27)
0.1b
(* (+ 3 (* 9 (* v v))) (* v v))
0.1b
(* v (* v v))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1
28×add-cbrt-cube add-exp-log
15×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*l*
8×*-un-lft-identity add-cube-cbrt
6×associate-*r*
5×pow-prod-up
4×*-commutative insert-posit16 add-log-exp
3×unswap-sqr
2×associate-*l/
1×pow2 flip3-+ pow-plus cube-unmult pow-sqr flip-+
Counts
4 → 89
Calls
4 calls:
Slowest
44.0ms
(* (* v (* v v)) 27)
28.0ms
(* v (* v v))
26.0ms
(* (+ 3 (* 9 (* v v))) (* v v))
13.0ms
(* 9 (* v v))

series309.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
148.0ms
(* (+ 3 (* 9 (* v v))) (* v v))
71.0ms
(* (* v (* v v)) 27)
49.0ms
(* 9 (* v v))
41.0ms
(* v (* v v))

simplify5.0s

Counts
59 → 101
Calls
59 calls:
Slowest
495.0ms
(* (* (* v v) v) (* (* (* v v) v) (* (* v v) v)))
472.0ms
(* (* (* v v) v) (* (* (* v v) (* v v)) (* v v)))
456.0ms
(* (+ (pow 3 3) (pow (* 9 (* v v)) 3)) (* v v))
443.0ms
(* (* (* (* v (* v v)) (* v (* v v))) (* v (* v v))) (* (* 27 27) 27))
281.0ms
(* (- (* 3 3) (* (* 9 (* v v)) (* 9 (* v v)))) (* v v))

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (sqrt (sqrt 2)) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))))
0.1b
(* 3 (* v v))
0.0b
(* (* (sqrt (sqrt 2)) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
0.0b
(- 1 (* 3 (* v v)))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
30×associate-*r/
23×pow1
18×frac-times
17×prod-exp cbrt-unprod
16×sqrt-div
15×flip3-- flip--
13×associate-*l*
12×pow-prod-down
11×add-sqr-sqrt
10×*-un-lft-identity
9×associate-*l/ add-cube-cbrt sqrt-prod
7×associate-*r*
6×add-log-exp
4×insert-posit16
3×sub-neg *-commutative
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 112
Calls
4 calls:
Slowest
210.0ms
(* (* (sqrt (sqrt 2)) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
72.0ms
(* (sqrt (sqrt 2)) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))))
29.0ms
(* 3 (* v v))
5.0ms
(- 1 (* 3 (* v v)))

series676.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
316.0ms
(* (* (sqrt (sqrt 2)) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
215.0ms
(* (sqrt (sqrt 2)) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))))
104.0ms
(- 1 (* 3 (* v v)))
41.0ms
(* 3 (* v v))

simplify17.5s

Counts
92 → 124
Calls
92 calls:
Slowest
857.0ms
(* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- (* 1 1) (* (* v v) (* v v))))
565.0ms
(* (* (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))
560.0ms
(* (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))
486.0ms
(* (* (sqrt (sqrt 2)) (* (/ (sqrt (sqrt 2)) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (- 1 (* v v)))
480.0ms
(* (* (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (* (/ (sqrt (sqrt 2)) 4) (/ (sqrt (sqrt 2)) 4)) (/ (sqrt (sqrt 2)) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch12.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.7s8019×body80nan
1.2s8000×body80valid