Details

Time bar (total: 19.2s)

sample39.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
13.0ms272×body80nan

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done1478
81478
71474
61456
51135
4542
3213
285
132
016

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize32.0ms

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))))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
23×pow1
18×prod-exp associate-*r/ cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×*-un-lft-identity add-cube-cbrt
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac *-commutative sqrt-prod associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×clear-num associate-/r* frac-2neg div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
27.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
71.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
13.0ms
(* 6.0 (* v v))
72.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
405.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
53.0ms
(* 6.0 (* v v))
610.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.8s

Counts
121 → 121
Iterations
IterNodes
done5000
23686
1923
0309

prune592.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite521.0ms

Algorithm
rewrite-expression-head
Rules
221×times-frac
108×associate-*r/ associate-/r/
105×add-sqr-sqrt
100×associate-*l*
96×*-un-lft-identity add-cube-cbrt
94×sqrt-prod
61×add-cbrt-cube add-exp-log
54×frac-times
42×flip3-+ flip-+
41×flip3-- flip--
27×associate-*l/
24×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
16×pow1
15×div-inv associate-/l*
7×associate-*r* pow-prod-down
6×associate-/r*
4×sqrt-div add-log-exp unswap-sqr
3×*-commutative
2×distribute-rgt-in distribute-lft-in
1×clear-num frac-2neg associate-/l/
Counts
4 → 305
Calls
4 calls:
323.0ms
(* (/ (/ 4.0 (* (* (* PI 3.0) (+ 1.0 (* v v))) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ 1.0 (* v v)))
19.0ms
(* (* PI 3.0) (+ 1.0 (* v v)))
112.0ms
(/ (/ 4.0 (* (* (* PI 3.0) (+ 1.0 (* v v))) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
29.0ms
(* 6.0 (* v v))

series1.3s

Counts
4 → 12
Calls
4 calls:
563.0ms
(* (/ (/ 4.0 (* (* (* PI 3.0) (+ 1.0 (* v v))) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ 1.0 (* v v)))
150.0ms
(* (* PI 3.0) (+ 1.0 (* v v)))
546.0ms
(/ (/ 4.0 (* (* (* PI 3.0) (+ 1.0 (* v v))) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
49.0ms
(* 6.0 (* v v))

simplify2.7s

Counts
317 → 317
Iterations
IterNodes
done5000
12064
0553

prune2.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* PI 3.0) (+ 1.0 (* v v)))
0.0b
(* (* v v) (+ (* v v) 1.0))
0.1b
(pow (* v v) 3)
0.2b
(* 6.0 (* v v))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1
22×add-cbrt-cube add-exp-log
10×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×pow-pow
5×associate-*l*
4×associate-*r/ add-log-exp
3×pow-unpow *-commutative
2×distribute-rgt-in distribute-lft-in flip3-+ pow-exp flip-+ rem-cube-cbrt unswap-sqr
1×pow2 cube-mult pow-to-exp unpow-prod-down pow-plus unpow3 cube-prod pow-sqr pow-prod-up sqr-pow
Counts
4 → 90
Calls
4 calls:
29.0ms
(* (* PI 3.0) (+ 1.0 (* v v)))
36.0ms
(* (* v v) (+ (* v v) 1.0))
5.0ms
(pow (* v v) 3)
24.0ms
(* 6.0 (* v v))

series337.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (* PI 3.0) (+ 1.0 (* v v)))
114.0ms
(* (* v v) (+ (* v v) 1.0))
67.0ms
(pow (* v v) 3)
36.0ms
(* 6.0 (* v v))

simplify1.9s

Counts
102 → 102
Iterations
IterNodes
done5003
22008
1486
0149

prune692.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify8.0ms

Iterations
IterNodes
done34
134
027

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.2s8000×body80valid
771.0ms8173×body80nan