Details

Time bar (total: 3.4s)

sample43.0ms

Algorithm
intervals
Results
15.0ms231×body80nan
13.0ms256×body80valid

simplify57.0ms

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 (100.0%)
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)))
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))))))

rewrite37.0ms

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:
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
10.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
11.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
19.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08881350
144081176
250021174

prune719.0ms

Filtered
121 candidates to 78 candidates (35.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh000
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×pow1
10×add-sqr-sqrt
9×prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×pow-prod-down add-log-exp
5×associate-*r*
4×associate-*r/ associate-*l*
3×cbrt-undiv sub-neg flip3-- times-frac div-exp flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ *-commutative
1×frac-2neg diff-log clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
3.0ms
(- 2.0 (* 6.0 (* v v)))
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* 6.0 (* v v))

series21.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- 2.0 (* 6.0 (* v v)))
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
3.0ms
(* 6.0 (* v v))

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473552
12214464
25001464

prune362.0ms

Filtered
93 candidates to 59 candidates (36.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done000
Total93295

Merged error: 0b

Counts
95 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
24×associate-*l*
21×pow1
20×prod-exp cbrt-unprod
18×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×sqrt-div associate-*r/ pow-prod-down
9×associate-*r*
8×associate-/r/
6×frac-times flip3-- flip--
5×unswap-sqr
4×cbrt-undiv div-exp sqrt-prod *-commutative add-log-exp
3×times-frac associate-*l/
2×flip3-+ flip-+
1×div-inv
Counts
4 → 104
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
5.0ms
(* 6.0 (* v v))
5.0ms
(* 6.0 (* v v))
19.0ms
(* (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (sqrt (+ 2.0 (* 6.0 (* v v)))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 6.0 (* v v))
3.0ms
(* 6.0 (* v v))
3.0ms
(* 6.0 (* v v))
20.0ms
(* (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (sqrt (+ 2.0 (* 6.0 (* v v)))))

simplify96.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07321453
136761261
250021259

prune690.0ms

Filtered
116 candidates to 70 candidates (39.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done011
Total1162118

Merged error: 0b

Counts
118 → 2

regimes54.0ms

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

sample1.0s

Algorithm
intervals
Results
399.0ms8000×body80valid
382.0ms8045×body80nan

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