Details

Time bar (total: 16.1s)

sample77.0ms

Algorithm
intervals
Results
31.0ms256×body80valid
20.0ms262×body80nan

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5001
63736
51812
4764
3271
290
132
016

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b
(/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v)))
0.2b
(* 6.0 (* v v))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
527×times-frac
262×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×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
2×clear-num frac-2neg sqrt-div associate-/l/
1×associate-*r* *-commutative unswap-sqr
Counts
3 → 348
Calls
3 calls:
41.0ms
(/ (/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms
(/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v)))
25.0ms
(* 6.0 (* v v))

series760.0ms

Counts
3 → 9
Calls
3 calls:
577.0ms
(/ (/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
134.0ms
(/ (/ 4.0 (* PI 3.0)) (- 1.0 (* v v)))
49.0ms
(* 6.0 (* v v))

simplify841.0ms

Counts
357 → 357
Iterations
IterNodes
done5001
11714
0652

prune2.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b
(* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v))))
0.2b
(* 6.0 (* v v))

rewrite618.0ms

Algorithm
rewrite-expression-head
Rules
385×times-frac
278×add-sqr-sqrt
185×*-un-lft-identity add-cube-cbrt
103×sqrt-prod
95×associate-*r*
64×add-cbrt-cube add-exp-log
45×difference-of-squares
28×cbrt-undiv div-exp
25×associate-*l*
23×associate-/l*
15×prod-exp cbrt-unprod
13×div-inv unswap-sqr
11×pow1
10×associate-/r*
6×associate-/r/
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp associate-/l/
3×flip3-- flip--
2×frac-times clear-num frac-2neg sqrt-div associate-*l/ associate-*r/ *-commutative
Counts
4 → 352
Calls
4 calls:
17.0ms
(/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))
56.0ms
(/ (* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
509.0ms
(* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v))))
13.0ms
(* 6.0 (* v v))

series1.3s

Counts
4 → 12
Calls
4 calls:
181.0ms
(/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))
793.0ms
(/ (* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
307.0ms
(* (/ (sqrt 4.0) PI) (/ (/ (sqrt 4.0) 3.0) (- 1.0 (* v v))))
36.0ms
(* 6.0 (* v v))

simplify1.0s

Counts
364 → 364
Iterations
IterNodes
done5001
12021
0609

prune2.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
done20
120
018

end0.0ms

sample2.0s

Algorithm
intervals
Results
812.0ms8221×body80nan
764.0ms8000×body80valid