Details

Time bar (total: 2.8s)

sample46.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
8.0ms129×body80nan

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.2b
(/ (- 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))))))

rewrite34.0ms

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:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
14.0ms
(/ (- 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))))))

series76.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
4.0ms
(* PI t)
50.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
19.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify102.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07721158
143501002
250031002

prune191.0ms

Filtered
72 candidates to 106 candidates (-47.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107

Merged error: 0.1b

Counts
107 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.2b
(/ 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))))))

rewrite29.0ms

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)
10.0ms
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
28.0ms
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
21.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify58.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0491717
12426629
25003623

prune156.0ms

Filtered
60 candidates to 105 candidates (-75.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New996105
Fresh347
Picked101
Done000
Total10310113

Merged error: 0.0b

Counts
113 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 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))))))

rewrite30.0ms

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)
7.0ms
(/ 1 (* PI t))
11.0ms
(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
3.0ms
(/ 1 (* PI t))
30.0ms
(/ (/ 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
05481067
12519976
25002952

prune195.0ms

Filtered
75 candidates to 139 candidates (-85.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1336139
Fresh819
Picked101
Done000
Total1427149

Merged error: 0b

Counts
149 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(/ (/ 1 PI) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t))
0.5b
(* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
31×times-frac
28×add-cbrt-cube
26×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×pow1
13×associate-/l*
12×div-exp
11×prod-exp
10×associate-*l*
9×cbrt-unprod
7×pow-prod-down
6×cbrt-undiv
5×associate-*r*
4×sqrt-div associate-*r/ associate-*l/ add-log-exp
3×*-commutative div-inv unswap-sqr
2×rec-exp flip3-- 1-exp associate-/r/ flip--
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 111
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
5.0ms
(* 5.0 (* v v))
13.0ms
(/ (/ 1 PI) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t))
7.0ms
(* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t)

series48.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
3.0ms
(* 5.0 (* v v))
23.0ms
(/ (/ 1 PI) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t))
20.0ms
(* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t)

simplify70.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06921001
12927897
25002879

prune162.0ms

Filtered
75 candidates to 123 candidates (-64.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1221123
Fresh336
Picked101
Done000
Total1264130

Merged error: 0b

Counts
130 → 4

regimes195.0ms

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
02715
12715

end0.0ms

sample1.1s

Algorithm
intervals
Results
528.0ms8001×body80valid
248.0ms3995×body80nan

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