Details

Time bar (total: 6.7s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms249×body80nan

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

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))))))

rewrite38.0ms

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 div-exp associate-*l* associate-*l/ 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 → 99
Calls
4 calls:
14.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series799.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
75.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
24.0ms
(* 6.0 (* v v))
427.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify100.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08731329
141241178
250021175

prune268.0ms

Filtered
111 candidates to 77 candidates (69.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1092111
Fresh000
Picked011
Done000
Total1093112

Merged error: 0b

Counts
112 → 3

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))
0.2b
(* 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)

rewrite53.0ms

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:
7.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
6.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
20.0ms
(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:
360.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
23.0ms
(* 6.0 (* v v))
417.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
953.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify56.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011522672
150022532

prune421.0ms

Filtered
166 candidates to 97 candidates (58.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1651166
Fresh101
Picked011
Done011
Total1663169

Merged error: 0b

Counts
169 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
20×pow1 frac-times associate-*r/
18×sqrt-div
17×cube-div
12×cbrt-undiv flip3-+ div-exp flip-+
11×add-sqr-sqrt pow-exp rem-cube-cbrt
9×add-cube-cbrt *-un-lft-identity pow-prod-down
8×associate-/r/
7×associate-*l/
6×flip3-- associate-*l* flip--
4×add-log-exp
3×pow-unpow pow-pow times-frac associate-/l*
2×associate-*r* *-commutative unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod clear-num associate-/r* div-inv sqr-pow
Counts
4 → 129
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
19.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))
42.0ms
(pow (* (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))) (* (+ 1.0 (* v v)) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v)))))))) 3)

series1.4s

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 6.0 (* v v))
23.0ms
(* 6.0 (* v v))
328.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))
990.0ms
(pow (* (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))) (* (+ 1.0 (* v v)) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v)))))))) 3)

simplify54.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013383034
150012836

prune690.0ms

Filtered
141 candidates to 95 candidates (67.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done022
Total1413144

Merged error: 0b

Counts
144 → 3

regimes106.0ms

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
04233
14233

end0.0ms

sample797.0ms

Algorithm
intervals
Results
311.0ms8000×body80valid
299.0ms8149×body80nan