Details

Time bar (total: 6.1s)

sample43.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
12.0ms253×body80nan

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* 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
(* 5.0 (* 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))))))

series812.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
26.0ms
(* PI t)
578.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
184.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify60.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0499487
12564483
25002483

prune170.0ms

Filtered
45 candidates to 38 candidates (84.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New39645
Fresh000
Picked101
Done000
Total40646

Merged error: 0.0b

Counts
46 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(* 5.0 (* 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
(* 3.0 (* v v))
3.0ms
(* 5.0 (* 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))))))

series795.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
31.0ms
(* 5.0 (* v v))
589.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (* (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
151.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0565596
12520591
25002591

prune186.0ms

Filtered
53 candidates to 43 candidates (81.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New50353
Fresh325
Picked101
Done000
Total54559

Merged error: 0.0b

Counts
59 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×associate-/l/
18×times-frac
16×*-commutative
15×div-inv
12×sqrt-prod
10×associate-*r/ associate-/r/
8×sqrt-div
7×flip3-- flip-- associate-/l*
6×associate-/r*
5×frac-2neg div-sub clear-num
4×associate-*r*
Counts
4 → 56
Calls
4 calls:
7.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* 2.0 (- 1.0 (* 3.0 (* 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
(* 3.0 (* v v))
3.0ms
(* 5.0 (* v v))

series1.0s

Counts
4 → 12
Calls
4 calls:
377.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
597.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (* t (- 1.0 (* v v))))
30.0ms
(* 3.0 (* v v))
25.0ms
(* 5.0 (* v v))

simplify70.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0674866
12912853
25002852

prune240.0ms

Filtered
68 candidates to 54 candidates (79.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New66268
Fresh314
Picked101
Done000
Total70373

Merged error: 0.0b

Counts
73 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
47×associate-/l/
9×div-inv associate-/l*
7×frac-2neg div-sub clear-num
6×associate-/r/ *-commutative
5×flip3-- flip--
4×sqrt-div associate-*r*
2×times-frac associate-*r/ associate-/r*
Counts
4 → 48
Calls
4 calls:
7.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt 2.0))
10.0ms
(/ (/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt 2.0)) (* t (- 1.0 (* v v))))
3.0ms
(* 3.0 (* v v))
3.0ms
(* 5.0 (* v v))

series1.0s

Counts
4 → 12
Calls
4 calls:
377.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt 2.0))
596.0ms
(/ (/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt 2.0)) (* t (- 1.0 (* v v))))
24.0ms
(* 3.0 (* v v))
29.0ms
(* 5.0 (* v v))

simplify69.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0649726
12853713
25001712

prune187.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh022
Picked011
Done000
Total60363

Merged error: 0.0b

Counts
63 → 3

regimes56.0ms

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
02315
12315

end0.0ms

sample1.1s

Algorithm
intervals
Results
393.0ms8000×body80valid
377.0ms7955×body80nan