Details

Time bar (total: 5.8s)

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms249×body80nan

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

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
(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))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv expm1-log1p-u div-exp associate-*l* associate-*l/ log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 107
Calls
4 calls:
16.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series816.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
79.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
25.0ms
(* 6.0 (* v v))
431.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
09051373
142751219
250011215

prune491.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1172119
Fresh000
Picked011
Done000
Total1173120

Merged error: 0b

Counts
120 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
44×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
33×sqrt-prod
32×add-exp-log add-cbrt-cube
18×associate-/r/
16×associate-*r/
12×associate-/l*
10×pow1 cbrt-undiv flip3-- div-exp flip--
9×prod-exp cbrt-unprod div-inv
7×associate-/r*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down
2×frac-2neg clear-num
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative associate-/l/ unswap-sqr
Counts
4 → 157
Calls
4 calls:
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
12.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
5.0ms
(* 6.0 (* v v))

series618.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
415.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
76.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
27.0ms
(* 6.0 (* v v))

simplify115.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
09822205
144582042
250012037

prune439.0ms

Filtered
169 candidates to 127 candidates (75.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1681169
Fresh101
Picked011
Done011
Total1693172

Merged error: 0b

Counts
172 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b
(cbrt (pow (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3))
0.2b
(* 6.0 (* v v))
1.0b
(pow (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
134×add-sqr-sqrt
132×add-cube-cbrt *-un-lft-identity
126×cbrt-prod
120×unpow-prod-down cube-prod
111×sqrt-prod
56×associate-/r/
48×associate-*r/
29×flip3-- flip--
28×div-inv
24×add-exp-log add-cbrt-cube
11×pow1
10×sqrt-div
7×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
5×pow-exp rem-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*l* pow-prod-down
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square cbrt-div pow-pow sqrt-pow1 pow1/2 pow1/3 associate-*r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 324
Calls
4 calls:
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
17.0ms
(cbrt (pow (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3))
5.0ms
(* 6.0 (* v v))
19.0ms
(pow (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)

series1.4s

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
346.0ms
(cbrt (pow (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3))
31.0ms
(* 6.0 (* v v))
937.0ms
(pow (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)

simplify104.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
017346317
150025986

prune588.0ms

Filtered
336 candidates to 144 candidates (42.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3360336
Fresh000
Picked011
Done022
Total3363339

Merged error: 0b

Counts
339 → 3

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02212
12212

end0.0ms

sample813.0ms

Algorithm
intervals
Results
310.0ms8000×body80valid
305.0ms8149×body80nan