Details

Time bar (total: 5.9s)

sample57.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
17.0ms279×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune5.0ms

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

rewrite33.0ms

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))))))

series801.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
573.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
182.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07721158
143501002
250031002

prune410.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 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))))))

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))))))

series507.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
275.0ms
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
189.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0491721
12426629
25003623

prune334.0ms

Filtered
105 candidates to 60 candidates (57.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1014105
Fresh549
Picked011
Done000
Total1069115

Merged error: 0.0b

Counts
115 → 9

localize16.0ms

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))))))

rewrite26.0ms

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

series349.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
34.0ms
(/ 1 (* PI t))
272.0ms
(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05481067
12519976
25002952

prune394.0ms

Filtered
139 candidates to 75 candidates (54.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1354139
Fresh617
Picked011
Done101
Total1426148

Merged error: 0b

Counts
148 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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))
7.0ms
(* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t)
10.0ms
(/ (/ 1 PI) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t))

series686.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3.0 (* v v))
24.0ms
(* 5.0 (* v v))
275.0ms
(* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t)
357.0ms
(/ (/ 1 PI) (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) t))

simplify68.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06921001
12927897
25002879

prune368.0ms

Filtered
123 candidates to 75 candidates (61.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1221123
Fresh134
Picked101
Done101
Total1254129

Merged error: 0b

Counts
129 → 4

regimes139.0ms

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

sample1.3s

Algorithm
intervals
Results
478.0ms8001×body80valid
468.0ms8018×body80nan

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