Details

Time bar (total: 5.6s)

sample31.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms259×body80nan

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

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
(- 2.0 (* 6.0 (* 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))))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div
11×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp associate-*l* associate-*l/ log1p-expm1-u
3×times-frac fma-neg prod-diff sqrt-prod associate-/l*
2×*-commutative
1×sub-neg frac-2neg diff-log clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 110
Calls
4 calls:
7.0ms
(- 2.0 (* 6.0 (* v v)))
74.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms
(* 6.0 (* v v))
68.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series769.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- 2.0 (* 6.0 (* v v)))
267.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
418.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08841351
141531184
250011179

prune300.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log add-cbrt-cube
32×associate-*r/
24×flip3-- sqrt-div associate-/r/ flip--
21×prod-exp cbrt-unprod
19×pow1
16×frac-times
15×add-sqr-sqrt unpow-prod-down cube-prod
14×add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down
8×cbrt-undiv div-exp associate-*l/
7×associate-*r*
5×pow-exp rem-cube-cbrt
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow sqrt-prod div-inv associate-/l*
2×*-commutative
1×cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/r* unswap-sqr sqr-pow
Counts
4 → 148
Calls
4 calls:
74.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
16.0ms
(* 6.0 (* v v))
65.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
83.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series1.8s

Counts
4 → 12
Calls
4 calls:
253.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
27.0ms
(* 6.0 (* v v))
395.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.1s
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify52.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012842265
150022097

prune483.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
48×pow1
30×add-sqr-sqrt
21×add-exp-log add-cbrt-cube
18×sqrt-prod
15×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×sqrt-div pow-prod-down
11×associate-*r* pow-prod-up
10×prod-exp cbrt-unprod
8×sqrt-pow1 pow1/2 swap-sqr
7×pow-plus unswap-sqr
6×flip3-- flip--
5×pow-sqr
4×expm1-log1p-u frac-times *-commutative log1p-expm1-u add-log-exp
3×pow2
2×associate-*r/ associate-*l/
1×sqrt-unprod pow3 rem-square-sqrt
Counts
4 → 131
Calls
4 calls:
18.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))
30.0ms
(* (sqrt (- 2.0 (* 6.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
20.0ms
(* (* PI PI) PI)

series102.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(* 6.0 (* v v))
27.0ms
(* 6.0 (* v v))
52.0ms
(* (sqrt (- 2.0 (* 6.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0ms
(* (* PI PI) PI)

simplify47.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0305712
11162606
25002575

prune411.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03633
13633

end0.0ms

sample779.0ms

Algorithm
intervals
Results
287.0ms8000×body80valid
255.0ms7853×body80nan