Details

Time bar (total: 5.6s)

sample34.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms242×body80nan

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune4.0ms

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

localize22.0ms

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

rewrite69.0ms

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:
11.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
22.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
10.0ms
(* 6.0 (* v v))
22.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series877.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
289.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
453.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08881350
144081176
250021174

prune250.0ms

Filtered
121 candidates to 78 candidates (64.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1192121
Fresh000
Picked011
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
15×pow1
12×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow-prod-down
5×associate-*r*
4×associate-*r/ associate-*l* add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp sqrt-prod flip-- associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-div associate-/r/ *-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 84
Calls
4 calls:
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms
(* 6.0 (* v v))

series330.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
109.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
111.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
26.0ms
(* 6.0 (* v v))

simplify64.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0543615
12462531
25001530

prune173.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done011
Total96399

Merged error: 0b

Counts
99 → 3

localize20.0ms

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)

rewrite49.0ms

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))))))
15.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series2.0s

Counts
4 → 12
Calls
4 calls:
372.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
25.0ms
(* 6.0 (* v v))
445.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.2s
(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

prune374.0ms

Filtered
166 candidates to 98 candidates (59.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1660166
Fresh000
Picked011
Done022
Total1663169

Merged error: 0b

Counts
169 → 3

regimes97.0ms

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
01910
11910

end0.0ms

sample948.0ms

Algorithm
intervals
Results
387.0ms8000×body80valid
375.0ms7963×body80nan

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