Details

Time bar (total: 3.4s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms250×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

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

localize15.0ms

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))))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
14×associate-*l*
13×flip3-- flip--
12×sqrt-div
10×*-commutative
8×frac-times associate-/r/
6×associate-/r*
4×associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r*
1×frac-2neg clear-num div-inv
Counts
4 → 42
Calls
4 calls:
5.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
7.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series796.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
268.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
404.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify58.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0600602
12387588
25001585

prune170.0ms

Filtered
54 candidates to 45 candidates (83.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New52254
Fresh000
Picked101
Done000
Total53255

Merged error: 0b

Counts
55 → 2

localize11.0ms

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))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×*-commutative
4×associate-*r/ associate-*l* associate-/r*
3×flip3-- flip--
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-div associate-*r* associate-/r/
1×frac-2neg pow1/2 clear-num div-inv
Counts
4 → 24
Calls
4 calls:
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
4.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
4.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
3.0ms
(* 6.0 (* v v))

series313.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
104.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
100.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
30.0ms
(* 6.0 (* v v))

simplify35.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0304214
11102209
25001203

prune90.0ms

Filtered
36 candidates to 26 candidates (72.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New36036
Fresh011
Picked011
Done000
Total36238

Merged error: 0b

Counts
38 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×sqrt-div associate-*r/
8×flip3-- associate-/r/ flip--
7×*-commutative
6×associate-*r* associate-/r*
4×frac-times associate-*l*
2×associate-*l/
1×frac-2neg pow1/2 clear-num div-inv
Counts
4 → 28
Calls
4 calls:
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
4.0ms
(* (* 3.0 PI) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
8.0ms
(/ 4.0 (* (- 1.0 (* v v)) (* (* 3.0 PI) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series718.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
183.0ms
(* (* 3.0 PI) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
430.0ms
(/ 4.0 (* (- 1.0 (* v v)) (* (* 3.0 PI) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify58.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0542446
12232440
25001438

prune138.0ms

Filtered
40 candidates to 36 candidates (90.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done011
Total40242

Merged error: 0b

Counts
42 → 2

regimes26.0ms

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

sample783.0ms

Algorithm
intervals
Results
314.0ms8000×body80valid
290.0ms7891×body80nan