Details

Time bar (total: 4.0s)

sample48.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
8.0ms130×body80nan

simplify72.0ms

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: 0.6b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* 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:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
10.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
14.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
22.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
39.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify103.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07721158
143501002
250011002

prune217.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9511106
Fresh000
Picked101
Done000
Total9611107

Merged error: 0.3b

Counts
107 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
10.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
11.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
20.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
33.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify78.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0612872
13214756
25002756

prune174.0ms

Filtered
66 candidates to 98 candidates (-48.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh3710
Picked101
Done000
Total9910109

Merged error: 0.3b

Counts
109 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
11.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
6.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))

series51.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
33.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
12.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))

simplify81.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07041489
133821354
250011354

prune254.0ms

Filtered
96 candidates to 132 candidates (-37.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1275132
Fresh819
Picked101
Done000
Total1366142

Merged error: 0b

Counts
142 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.4b
(/ (/ (- 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))))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
577×times-frac
269×add-sqr-sqrt
267×add-cube-cbrt *-un-lft-identity
56×associate-/l*
44×sqrt-prod
28×add-exp-log add-cbrt-cube
26×div-inv
14×pow1
9×cbrt-undiv div-exp
7×associate-/r*
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×div-sub
4×add-log-exp
2×frac-2neg sqrt-div associate-*r/ associate-*r* clear-num associate-/r/ *-commutative associate-/l/ unswap-sqr
1×flip3-- flip--
Counts
4 → 348
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
5.0ms
(* 5.0 (* v v))
7.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
19.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series53.0ms

Counts
4 → 12
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)
37.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
360 → 360
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
016006427
150026272

prune1.1s

Filtered
300 candidates to 360 candidates (-20.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3600360
Fresh055
Picked011
Done000
Total3606366

Merged error: 0b

Counts
366 → 6

regimes248.0ms

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
02214
12214

end0.0ms

sample1.1s

Algorithm
intervals
Results
522.0ms8001×body80valid
241.0ms3941×body80nan

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