Details

Time bar (total: 6.6s)

sample48.0ms

Algorithm
intervals
Results
16.0ms275×body80nan
15.0ms256×body80valid

simplify76.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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)
16.0ms
(/ (- 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))))))

series850.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
26.0ms
(* PI t)
600.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
197.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07721158
143501002
250031002

prune290.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.1b

Counts
107 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
25×add-cbrt-cube
22×pow1
16×prod-exp
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity pow-prod-down cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l*
6×div-exp
4×sqrt-div add-log-exp
3×cbrt-undiv rec-exp pow-flip times-frac 1-exp *-commutative associate-/l*
2×flip3-- associate-/r/ flip-- unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod div-inv inv-pow
Counts
4 → 93
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
11.0ms
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
303.0ms
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
204.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0491717
12426629
25003623

prune243.0ms

Filtered
105 candidates to 60 candidates (57.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1014105
Fresh358
Picked011
Done000
Total10410114

Merged error: 0.0b

Counts
114 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ 1 (* PI t))
0.4b
(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
41×add-exp-log
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
15×div-exp
14×pow1
10×prod-exp associate-/l*
8×sqrt-prod
7×cbrt-undiv div-inv
6×associate-*l* cbrt-unprod
5×pow-prod-down associate-/r*
4×rec-exp 1-exp associate-*r* add-log-exp
2×pow-flip frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative unswap-sqr
1×flip3-- flip-- associate-/l/ inv-pow
Counts
4 → 127
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
4.0ms
(/ 1 (* PI t))
11.0ms
(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series376.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
30.0ms
(/ 1 (* PI t))
293.0ms
(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05481071
12519976
25002952

prune471.0ms

Filtered
139 candidates to 75 candidates (54.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1345139
Fresh718
Picked101
Done101
Total1436149

Merged error: 0b

Counts
149 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ 1 t) (sqrt (- 1.0 (* 3.0 (* v v)))))) (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))))
0.1b
(* 3.0 (* v v))
0.1b
(* 5.0 (* v v))
0.3b
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ 1 t) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
416×times-frac
394×add-exp-log
367×add-sqr-sqrt
206×div-exp
180×*-un-lft-identity
154×add-cbrt-cube
152×add-cube-cbrt
133×prod-exp
120×sqrt-prod
104×associate-*r*
89×associate-*l*
64×cbrt-undiv
53×cbrt-unprod
51×unswap-sqr
30×rec-exp 1-exp
21×pow1
15×div-inv
10×pow-prod-down
6×frac-times associate-*l/
4×associate-*r/ associate-/r/ *-commutative add-log-exp
3×difference-of-squares
2×flip3-- sqrt-div flip--
Counts
4 → 407
Calls
4 calls:
33.0ms
(* (* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ 1 t) (sqrt (- 1.0 (* 3.0 (* v v)))))) (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))))
6.0ms
(* 3.0 (* v v))
5.0ms
(* 5.0 (* v v))
115.0ms
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ 1 t) (sqrt (- 1.0 (* 3.0 (* v v))))))

series866.0ms

Counts
4 → 12
Calls
4 calls:
525.0ms
(* (* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ 1 t) (sqrt (- 1.0 (* 3.0 (* v v)))))) (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))))
26.0ms
(* 3.0 (* v v))
25.0ms
(* 5.0 (* v v))
290.0ms
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ 1 t) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
419 → 419
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
021716763
150015947

prune803.0ms

Filtered
419 candidates to 197 candidates (47.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4181419
Fresh145
Picked011
Done000
Total4196425

Merged error: 0b

Counts
425 → 6

regimes109.0ms

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
02716
12716

end0.0ms

sample1.2s

Algorithm
intervals
Results
479.0ms8038×body80nan
479.0ms8001×body80valid

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