Details

Time bar (total: 5.9s)

sample30.0ms

Algorithm
intervals
Results
10.0ms234×body80nan
9.0ms256×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

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

rewrite85.0ms

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:
35.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(* 6.0 (* v v))
30.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
103.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
23.0ms
(* 6.0 (* v v))
412.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08881350
144081176
250021174

prune270.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/ associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 154
Calls
4 calls:
12.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
7.0ms
(* 6.0 (* v v))
32.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
36.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series1.9s

Counts
4 → 12
Calls
4 calls:
344.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
24.0ms
(* 6.0 (* v v))
618.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
927.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify59.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011522676
150022534

prune439.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))
0.2b
(* (* 3.0 PI) (- (* v v)))
1.0b
(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1 add-sqr-sqrt
13×associate-*r*
12×sqrt-div
11×add-cube-cbrt *-un-lft-identity
8×frac-times associate-*l* prod-exp associate-/r/ cbrt-unprod
7×pow-prod-down
6×flip3-- flip3-+ flip-- flip-+
4×associate-*r/ associate-*l/ sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×cbrt-undiv div-exp
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in frac-2neg clear-num associate-/r* distribute-rgt-neg-out div-inv distribute-lft-out
Counts
4 → 101
Calls
4 calls:
30.0ms
(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
8.0ms
(* (* 3.0 PI) (- (* v v)))
12.0ms
(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series741.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
48.0ms
(* (* 3.0 PI) (- (* v v)))
441.0ms
(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
08431457
142031243
250031224

prune306.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

sample747.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid
272.0ms8044×body80nan