Details

Time bar (total: 3.5s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms250×body80nan

simplify58.0ms

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

localize12.0ms

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))))))

rewrite26.0ms

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)))
8.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
8.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series819.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
272.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
410.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0578614
12261604
25002604

prune164.0ms

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))

series317.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
112.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
99.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
24.0ms
(* 6.0 (* v v))

simplify34.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0292216
11047211
25001207

prune86.0ms

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

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* (* v v) (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
75×*-commutative
54×associate-*l*
44×associate-*r*
40×difference-of-squares
26×associate-/r*
20×swap-sqr unswap-sqr
16×associate-*r/
12×flip3-- sqrt-div flip--
8×frac-times associate-/r/
7×pow2
4×associate-*l/
1×frac-2neg pow-prod-down clear-num pow-sqr pow-prod-up div-inv
Counts
4 → 90
Calls
4 calls:
18.0ms
(* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* (* v v) (* v v))
3.0ms
(* 6.0 (* v v))
19.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series721.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
31.0ms
(* (* v v) (* v v))
25.0ms
(* 6.0 (* v v))
388.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0539893
12156886
25002886

prune195.0ms

Filtered
102 candidates to 46 candidates (45.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done011
Total1022104

Merged error: 0b

Counts
104 → 2

regimes27.0ms

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

sample764.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
283.0ms7891×body80nan