Details

Time bar (total: 5.4s)

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms248×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

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: 0.4b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
10×associate-*l* *-commutative
8×flip3-- sqrt-div associate-/r* associate-/r/ flip--
6×associate-*r*
4×frac-times sqrt-prod
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num div-inv
Counts
4 → 33
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
2.0ms
(* PI t)
10.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
5.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series806.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
572.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
187.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0487491
12500491
25001491

prune165.0ms

Filtered
45 candidates to 38 candidates (84.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New40545
Fresh000
Picked101
Done000
Total41546

Merged error: 0.0b

Counts
46 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
12×*-commutative
10×associate-*r*
8×flip3-- sqrt-div associate-*l* associate-/r/ flip-- div-inv
7×associate-/l/
6×times-frac associate-/r* sqrt-prod
4×frac-times
2×frac-2neg div-sub associate-*l/ clear-num
1×associate-/l*
Counts
4 → 41
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* 3.0 (* v v))
10.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
4.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series954.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
212.0ms
(* 3.0 (* v v))
570.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
147.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0553600
12456599
25001599

prune178.0ms

Filtered
53 candidates to 43 candidates (81.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New50353
Fresh314
Picked101
Done000
Total54458

Merged error: 0.0b

Counts
58 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* t (- 1.0 (* v v)))
0.1b
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (* t (- 1.0 (* v v))))
0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-/l/
16×times-frac
15×*-commutative
11×div-inv
10×associate-*r/
8×sqrt-prod associate-/r/
6×flip3-- sqrt-div flip-- associate-/l*
4×associate-*r* associate-/r*
3×frac-2neg div-sub clear-num
2×distribute-rgt-in sub-neg distribute-lft-in
Counts
4 → 47
Calls
4 calls:
3.0ms
(* t (- 1.0 (* v v)))
10.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (* t (- 1.0 (* v v))))
3.0ms
(* 5.0 (* v v))
3.0ms
(* 3.0 (* v v))

series679.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* t (- 1.0 (* v v)))
572.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (* t (- 1.0 (* v v))))
24.0ms
(* 5.0 (* v v))
24.0ms
(* 3.0 (* v v))

simplify58.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0539633
12170627
25001627

prune170.0ms

Filtered
59 candidates to 42 candidates (71.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh033
Picked011
Done000
Total59463

Merged error: 0.0b

Counts
63 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.5b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×associate-/l/
9×div-inv
8×flip3-- associate-*r/ associate-/r/ *-commutative flip--
6×sqrt-div
5×frac-2neg div-sub clear-num
4×frac-times times-frac associate-*r* associate-*l* associate-/r* sqrt-prod
3×associate-/l*
2×associate-*l/
Counts
4 → 46
Calls
4 calls:
4.0ms
(* 5.0 (* v v))
3.0ms
(* 3.0 (* v v))
10.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
5.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)

series722.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
25.0ms
(* 3.0 (* v v))
583.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
82.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)

simplify56.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0517609
12193597
25001597

prune164.0ms

Filtered
58 candidates to 41 candidates (70.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done011
Total58462

Merged error: 0.0b

Counts
62 → 4

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314

end0.0ms

sample994.0ms

Algorithm
intervals
Results
380.0ms8000×body80valid
350.0ms7721×body80nan