Details

Time bar (total: 3.4s)

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms249×body80nan

simplify63.0ms

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))) (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))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*r/
14×sqrt-div
13×flip3-- flip--
12×associate-*l*
8×frac-times associate-/r/ *-commutative
6×associate-/r*
4×associate-*l/
2×associate-*r*
1×frac-2neg pow1/2 clear-num div-inv
Counts
4 → 36
Calls
4 calls:
7.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
2.0ms
(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))))))

series818.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
80.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
25.0ms
(* 6.0 (* v v))
437.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0596635
12397625
25003625

prune201.0ms

Filtered
48 candidates to 44 candidates (91.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh000
Picked011
Done000
Total46349

Merged error: 0b

Counts
49 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/r*
7×associate-/l/
6×associate-/r/ *-commutative
4×flip3-- sqrt-div associate-*r/ associate-*l* flip--
3×frac-2neg clear-num div-inv associate-/l*
2×associate-*r*
1×pow1/2
Counts
4 → 30
Calls
4 calls:
4.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
7.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
3.0ms
(* 6.0 (* v v))

series638.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
427.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
80.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
29.0ms
(* 6.0 (* v v))

simplify54.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0510417
12048402
25001402

prune135.0ms

Filtered
42 candidates to 35 candidates (83.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New41142
Fresh101
Picked011
Done011
Total42345

Merged error: 0b

Counts
45 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b
(/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ 1.0 (* v v)))
0.1b
(* (* v v) (* v v))
0.2b
(* 6.0 (* v v))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×*-commutative
7×pow2
4×sqrt-div swap-sqr associate-*r* unswap-sqr
2×flip3-- associate-*l* associate-/r/ flip-- associate-/l/
1×frac-2neg flip3-+ pow1/2 pow-prod-down clear-num pow-sqr pow-prod-up flip-+ div-inv
Counts
4 → 30
Calls
4 calls:
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
4.0ms
(/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ 1.0 (* v v)))
5.0ms
(* (* v v) (* v v))
3.0ms
(* 6.0 (* v v))

series353.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
210.0ms
(/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ 1.0 (* v v)))
36.0ms
(* (* v v) (* v v))
26.0ms
(* 6.0 (* v v))

simplify35.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0278267
11051266
25001257

prune107.0ms

Filtered
42 candidates to 24 candidates (57.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh000
Picked011
Done022
Total42345

Merged error: 0b

Counts
45 → 3

regimes67.0ms

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

sample782.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid
292.0ms8149×body80nan