Details

Time bar (total: 4.7s)

sample64.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
26.0ms248×body80nan

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
17×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
12×flip3-- sqrt-div flip--
9×add-sqr-sqrt pow-prod-down
8×frac-times add-cube-cbrt *-un-lft-identity associate-/r/
7×associate-*r*
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u times-frac sqrt-prod log1p-expm1-u associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 90
Calls
3 calls:
31.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
31.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series774.0ms

Counts
3 → 9
Calls
3 calls:
288.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
33.0ms
(* 6.0 (* v v))
453.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08511219
140311069
250011066

prune253.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
22×associate-*r/
19×add-sqr-sqrt prod-exp cbrt-unprod
18×flip3-- sqrt-div flip--
16×pow1
15×cbrt-undiv div-exp
13×add-cube-cbrt *-un-lft-identity times-frac
12×frac-times
10×associate-*l*
8×associate-*r* associate-/r/
7×pow-prod-down associate-/l*
6×associate-*l/
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/l/ difference-of-squares
Counts
4 → 136
Calls
4 calls:
13.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
21.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
22.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
6.0ms
(* 6.0 (* v v))

series1.0s

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
609.0ms
(/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))
207.0ms
(* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
30.0ms
(* 6.0 (* v v))

simplify111.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
09951911
147061639
250011638

prune454.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample1.7s

Algorithm
intervals
Results
815.0ms8000×body80valid
704.0ms7769×body80nan