Details

Time bar (total: 22.3s)

sample70.0ms

Algorithm
intervals
Results
23.0ms281×body80nan
22.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
27019
318019
435619
565719
693519
7105219
8113319
done113319

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite261.0ms

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))))
69.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
140.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
30.0ms
(* 3.0 (* v v))

series908.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
253.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
485.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
51.0ms
(* 3.0 (* v v))

simplify1.9s

Counts
140 → 140
Iterations

Useful iterations: 2 (657.0ms)

IterNodesCost
02783102
17962836
229712648
done50012648

prune670.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

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))))

rewrite261.0ms

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:
93.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
131.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
21.0ms
(* 3.0 (* v v))
5.0ms
(log (exp (* 3.0 (* v v))))

series918.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
553.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
30.0ms
(* 3.0 (* v v))
35.0ms
(log (exp (* 3.0 (* v v))))

simplify2.3s

Counts
142 → 142
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02793294
17652721
227852541
done50012531

prune584.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))) 3))
0.0b
(* (/ (sqrt 2.0) 4.0) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.2b
(* 3.0 (* v v))
1.0b
(pow (* (/ (sqrt 2.0) 4.0) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))) 3)

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
48×frac-times
36×flip3-- sqrt-div associate-*r/ flip--
34×add-exp-log cube-div add-cbrt-cube
25×associate-*l*
21×add-sqr-sqrt
20×pow1 add-cube-cbrt *-un-lft-identity
18×times-frac
17×cbrt-div
15×associate-*l/ prod-exp cbrt-unprod
9×pow-prod-down sqrt-prod
8×cbrt-prod
5×pow-exp rem-cube-cbrt
4×cbrt-undiv div-exp add-log-exp
3×pow-unpow pow-pow
2×cube-mult unpow-prod-down unpow3 cube-prod associate-*r* *-commutative sqr-pow
1×pow-to-exp pow1/3 rem-cbrt-cube div-inv unswap-sqr
Counts
4 → 157
Calls
4 calls:
40.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))) 3))
98.0ms
(* (/ (sqrt 2.0) 4.0) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v))))))
23.0ms
(* 3.0 (* v v))
79.0ms
(pow (* (/ (sqrt 2.0) 4.0) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))) 3)

series2.1s

Counts
4 → 12
Calls
4 calls:
382.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))) 3))
443.0ms
(* (/ (sqrt 2.0) 4.0) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v))))))
34.0ms
(* 3.0 (* v v))
1.2s
(pow (* (/ (sqrt 2.0) 4.0) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))) 3)

simplify779.0ms

Counts
169 → 169
Iterations

Useful iterations: done (759.0ms)

IterNodesCost
03845349
111244562
done50004410

prune842.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1
30×add-sqr-sqrt
21×add-exp-log add-cbrt-cube
18×sqrt-prod
15×add-cube-cbrt *-un-lft-identity associate-*l*
12×pow-prod-down
10×prod-exp cbrt-unprod
9×associate-*r*
8×sqrt-pow1 pow1/2 swap-sqr
7×unswap-sqr
5×pow-prod-up
4×*-commutative add-log-exp
3×pow-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 106
Calls
4 calls:
22.0ms
(* 3.0 (* v v))
18.0ms
(* 3.0 (* v v))
18.0ms
(* 3.0 (* v v))
14.0ms
(* (sqrt 2.0) (sqrt 2.0))

series128.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(* 3.0 (* v v))
53.0ms
(* 3.0 (* v v))
37.0ms
(* 3.0 (* v v))
0.0ms
(* (sqrt 2.0) (sqrt 2.0))

simplify5.2s

Counts
116 → 116
Iterations

Useful iterations: 5 (3.4s)

IterNodesCost
082867
1155646
2386542
3787536
41342532
54443530
done5000530

prune372.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02360
13060
done3060

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s8000×body80valid
770.0ms7943×body80nan