Details

Time bar (total: 5.4s)

sample53.0ms

Algorithm
intervals
Results
22.0ms289×body80nan
19.0ms256×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
30.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* 6.0 (* v v))
29.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
17.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
2.0ms
(* 6.0 (* v v))
20.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
09551468
146961282
250011281

prune886.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt
44×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×prod-diff pow-prod-down
5×distribute-rgt-in distribute-lft-in associate-*r*
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×sub-neg frac-2neg sqrt-div clear-num *-commutative
1×associate-/l/ difference-of-squares unswap-sqr
Counts
4 → 173
Calls
4 calls:
16.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
8.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
6.0ms
(* 6.0 (* v v))

series36.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
2.0ms
(* 6.0 (* v v))

simplify111.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
010002299
147042105
250012101

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
128×pow1
37×pow-prod-up
33×add-exp-log add-cbrt-cube
27×pow-prod-down
23×pow-sqr
19×pow-plus
15×prod-exp cbrt-unprod
14×pow2
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow-pow
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×cbrt-undiv pow-unpow times-frac div-exp associate-/r*
2×associate-*r/ associate-*r* pow-exp associate-/r/ *-commutative associate-/l/ rem-cube-cbrt unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down flip3-- frac-2neg flip3-+ unpow3 cube-prod swap-sqr clear-num flip-- flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 143
Calls
4 calls:
118.0ms
(/ (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
3.0ms
(pow (* v v) 3)
13.0ms
(* (* v v) (* v v))
6.0ms
(* 6.0 (* v v))

series21.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))))
3.0ms
(pow (* v v) 3)
2.0ms
(* (* v v) (* v v))
2.0ms
(* 6.0 (* v v))

simplify80.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0534825
12810669
25001654

prune1.1s

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
03121
13121

end0.0ms

sample1.4s

Algorithm
intervals
Results
587.0ms8000×body80valid
585.0ms8357×body80nan