Details

Time bar (total: 16.0s)

sample76.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
22.0ms262×body80nan

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
done5001
74019
62871
51639
4710
3259
290
132
016

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* v 6.0) v))))
0.0b
(/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v)))
0.1b
(* (* v 6.0) v)

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
527×times-frac
261×add-sqr-sqrt
204×*-un-lft-identity add-cube-cbrt
105×sqrt-prod
57×difference-of-squares
42×div-inv
41×associate-/l*
31×add-cbrt-cube add-exp-log
18×associate-/r/
14×cbrt-undiv div-exp
10×associate-/r*
9×flip3-- flip--
8×pow1
5×prod-exp cbrt-unprod
3×associate-*r* pow-prod-down add-log-exp
2×clear-num frac-2neg sqrt-div associate-/l/
1×associate-*l* *-commutative
Counts
3 → 341
Calls
3 calls:
61.0ms
(/ (/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* v 6.0) v))))
15.0ms
(/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v)))
21.0ms
(* (* v 6.0) v)

series804.0ms

Counts
3 → 9
Calls
3 calls:
596.0ms
(/ (/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v))) (sqrt (- 2.0 (* (* v 6.0) v))))
179.0ms
(/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v)))
28.0ms
(* (* v 6.0) v)

simplify731.0ms

Counts
350 → 350
Iterations
IterNodes
done5000
11628
0649

prune2.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))) (sqrt (- 2.0 (* (* v 6.0) v))))
0.0b
(/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v))))
0.1b
(* (* v 6.0) v)

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
385×times-frac
277×add-sqr-sqrt
185×*-un-lft-identity add-cube-cbrt
103×sqrt-prod
97×associate-*r*
64×add-cbrt-cube add-exp-log
45×difference-of-squares
28×cbrt-undiv div-exp
23×associate-*l* associate-/l*
15×prod-exp cbrt-unprod
13×div-inv
12×unswap-sqr
11×pow1
10×associate-/r*
6×associate-/r/
4×pow-prod-down add-log-exp associate-/l/
3×flip3-- flip--
2×frac-times clear-num frac-2neg sqrt-div associate-*l/ associate-*r/ *-commutative
Counts
4 → 343
Calls
4 calls:
57.0ms
(/ (* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))) (sqrt (- 2.0 (* (* v 6.0) v))))
27.0ms
(/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))
90.0ms
(* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v))))
27.0ms
(* (* v 6.0) v)

series1.5s

Counts
4 → 12
Calls
4 calls:
888.0ms
(/ (* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))) (sqrt (- 2.0 (* (* v 6.0) v))))
201.0ms
(/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))
355.0ms
(* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v))))
52.0ms
(* (* v 6.0) v)

simplify1.1s

Counts
355 → 355
Iterations
IterNodes
done5001
11964
0604

prune2.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done22
122
019

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s8000×body80valid
564.0ms8221×body80nan