Details

Time bar (total: 16.0s)

sample64.0ms

Algorithm
intervals
Results
24.0ms270×body80nan
18.0ms256×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01620
13220
29020
325620
458120
5104120
6122020
done122020

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
52.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
113.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
17.0ms
(* 6.0 (* v v))
98.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
184.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
414.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
43.0ms
(* 6.0 (* v v))
696.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.0s

Counts
121 → 121
Iterations

Useful iterations: 2 (924.0ms)

IterNodesCost
03072810
18642584
236182224
done50002224

prune439.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
44×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
30×sqrt-prod
18×associate-*r/ associate-/r/
14×pow1
12×prod-exp cbrt-unprod associate-/l*
10×cbrt-undiv flip3-- div-exp flip--
9×div-inv
7×associate-/r*
6×pow-prod-down
5×associate-*r*
4×associate-*l* add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in sqrt-div clear-num *-commutative
1×associate-/l/ difference-of-squares unswap-sqr
Counts
4 → 159
Calls
4 calls:
36.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
21.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
74.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms
(* 6.0 (* v v))

series981.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
142.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
634.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
37.0ms
(* 6.0 (* v v))

simplify1.8s

Counts
171 → 171
Iterations

Useful iterations: 2 (853.0ms)

IterNodesCost
03554403
19144077
233653741
done50003741

prune540.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 4.0 (* 3.0 PI)) (- (* 1.0 1.0) (pow v 4)))
0.0b
(/ (* (/ (/ 4.0 (* 3.0 PI)) (- (* 1.0 1.0) (pow v 4))) (+ 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b
(* (/ (/ 4.0 (* 3.0 PI)) (- (* 1.0 1.0) (pow v 4))) (+ 1.0 (* v v)))
0.2b
(* 6.0 (* v v))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
130×times-frac
88×add-sqr-sqrt
52×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
51×associate-*l*
45×difference-of-squares
20×cbrt-undiv div-exp
16×div-inv
15×unpow-prod-down sqr-pow
14×prod-exp cbrt-unprod
12×associate-/r*
11×pow1
8×associate-/l*
6×sqrt-prod associate-/r/ associate-/l/
4×frac-times flip3-+ associate-*r/ associate-*r* pow-prod-down flip-+ add-log-exp
3×flip3-- flip-- unswap-sqr
2×frac-2neg sqrt-div associate-*l/ clear-num *-commutative
1×distribute-rgt-in distribute-lft-in
Counts
4 → 210
Calls
4 calls:
41.0ms
(/ (/ 4.0 (* 3.0 PI)) (- (* 1.0 1.0) (pow v 4)))
79.0ms
(/ (* (/ (/ 4.0 (* 3.0 PI)) (- (* 1.0 1.0) (pow v 4))) (+ 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
129.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (- (* 1.0 1.0) (pow v 4))) (+ 1.0 (* v v)))
31.0ms
(* 6.0 (* v v))

series1.1s

Counts
4 → 12
Calls
4 calls:
298.0ms
(/ (/ 4.0 (* 3.0 PI)) (- (* 1.0 1.0) (pow v 4)))
602.0ms
(/ (* (/ (/ 4.0 (* 3.0 PI)) (- (* 1.0 1.0) (pow v 4))) (+ 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
180.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (- (* 1.0 1.0) (pow v 4))) (+ 1.0 (* v v)))
40.0ms
(* 6.0 (* v v))

simplify1.2s

Counts
222 → 222
Iterations

Useful iterations: done (1.2s)

IterNodesCost
04835548
116055292
done50004643

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02128
12528
done2528

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s8000×body80valid
826.0ms7862×body80nan