Details

Time bar (total: 6.4s)

sample43.0ms

Algorithm
intervals
Results
14.0ms241×body80nan
13.0ms256×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune4.0ms

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))
0.2b
(* 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))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series841.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
601.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
195.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify112.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07551158
142811002
250011002

prune303.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9610106
Fresh000
Picked101
Done000
Total9710107

Merged error: 0.1b

Counts
107 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 96
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
8.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series995.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
613.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
200.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
157.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07791300
141951138
250011138

prune303.0ms

Filtered
108 candidates to 76 candidates (70.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh369
Picked011
Done000
Total10810118

Merged error: 0.1b

Counts
118 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×sqrt-div add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 86
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
12.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series776.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
525.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
198.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0596872
13150756
25002756

prune259.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New95398
Fresh358
Picked101
Done011
Total999108

Merged error: 0.0b

Counts
108 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-exp-log add-cbrt-cube
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*l* prod-exp cbrt-unprod
5×associate-/r*
4×associate-*r* pow-prod-down add-log-exp
3×div-sub associate-/l/
2×flip3-- frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 120
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
6.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
11.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
88.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
525.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify86.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07041489
133821354
250021354

prune364.0ms

Filtered
132 candidates to 96 candidates (72.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1284132
Fresh527
Picked101
Done101
Total1356141

Merged error: 0b

Counts
141 → 6

regimes143.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02716
12716

end0.0ms

sample1.0s

Algorithm
intervals
Results
394.0ms8000×body80valid
372.0ms7871×body80nan