Details

Time bar (total: 18.9s)

sample73.0ms

Algorithm
intervals
Results
26.0ms281×body80nan
24.0ms256×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
27019
318019
435619
565719
693519
7105219
8113319
done113319

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite201.0ms

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:
6.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
42.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
109.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
36.0ms
(* 3.0 (* v v))

series870.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
284.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
435.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
53.0ms
(* 3.0 (* v v))

simplify2.1s

Counts
140 → 140
Iterations

Useful iterations: 2 (723.0ms)

IterNodesCost
02783102
17962836
229712648
done50012648

prune575.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))
3.4b
(log (exp (* 3.0 (* v v))))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
26×associate-*l*
25×*-un-lft-identity
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt times-frac
20×sqrt-prod
18×pow1 frac-times
16×sqrt-div
14×flip3-- associate-*r* flip--
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
5×add-log-exp
4×log-pow
3×log-prod *-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp distribute-lft-out-- difference-of-squares
1×exp-prod exp-to-pow rem-log-exp div-inv
Counts
4 → 130
Calls
4 calls:
74.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
130.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
33.0ms
(* 3.0 (* v v))
9.0ms
(log (exp (* 3.0 (* v v))))

series1.2s

Counts
4 → 12
Calls
4 calls:
633.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
469.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
28.0ms
(* 3.0 (* v v))
47.0ms
(log (exp (* 3.0 (* v v))))

simplify2.0s

Counts
142 → 142
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02793294
17652721
227852541
done50012531

prune720.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt 2.0)) (- (* 1.0 1.0) (pow v 4)))
0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt 2.0))
0.0b
(/ (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt 2.0)) (- (* 1.0 1.0) (pow v 4))) (* 4.0 (+ 1.0 (* v v))))
0.2b
(* 3.0 (* v v))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
21×add-sqr-sqrt
18×pow1 associate-*l/
16×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- associate-*r* flip--
10×add-cube-cbrt *-un-lft-identity associate-*l* sqrt-prod
9×pow-prod-down
8×frac-times associate-/l/
6×cbrt-undiv associate-*r/ div-exp
5×unswap-sqr
4×add-log-exp
3×*-commutative difference-of-squares
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 pow1/2 associate-/r/
1×unpow-prod-down frac-2neg flip3-+ times-frac sqrt-unprod clear-num associate-/r* flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 119
Calls
4 calls:
155.0ms
(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt 2.0)) (- (* 1.0 1.0) (pow v 4)))
32.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt 2.0))
131.0ms
(/ (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt 2.0)) (- (* 1.0 1.0) (pow v 4))) (* 4.0 (+ 1.0 (* v v))))
21.0ms
(* 3.0 (* v v))

series1.2s

Counts
4 → 12
Calls
4 calls:
342.0ms
(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt 2.0)) (- (* 1.0 1.0) (pow v 4)))
188.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt 2.0))
659.0ms
(/ (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt 2.0)) (- (* 1.0 1.0) (pow v 4))) (* 4.0 (+ 1.0 (* v v))))
31.0ms
(* 3.0 (* v v))

simplify2.8s

Counts
131 → 131
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02933468
19023160
245692746
done50022745

prune628.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
28×add-sqr-sqrt sqrt-div
26×pow1
24×associate-*l*
21×add-exp-log add-cbrt-cube
16×pow-prod-down
14×add-cube-cbrt *-un-lft-identity
10×associate-*l/ prod-exp cbrt-unprod
9×associate-*r*
8×unswap-sqr
7×flip3-- flip--
5×sqrt-pow1 pow1/2
4×frac-times *-commutative add-log-exp
3×sqrt-unprod
2×associate-*r/
Counts
4 → 110
Calls
4 calls:
39.0ms
(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt 2.0))
80.0ms
(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt 2.0)))
17.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))

series851.0ms

Counts
4 → 12
Calls
4 calls:
548.0ms
(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt 2.0))
230.0ms
(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt 2.0)))
36.0ms
(* 3.0 (* v v))
37.0ms
(* 3.0 (* v v))

simplify1.5s

Counts
122 → 122
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02202401
15561975
217811793
done50011748

prune717.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.0ms