Details

Time bar (total: 6.2s)

sample48.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
15.0ms262×body80nan

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

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: 0.6b

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
(/ (- 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))))))

rewrite42.0ms

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 expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 102
Calls
4 calls:
5.0ms
(* 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))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series857.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
605.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
198.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07751210
143561050
250011050

prune338.0ms

Filtered
114 candidates to 80 candidates (70.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1059114
Fresh000
Picked101
Done000
Total1069115

Merged error: 0.3b

Counts
115 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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 expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 104
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
9.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
193.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
578.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
362.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08001361
142751195
250011195

prune317.0ms

Filtered
116 candidates to 84 candidates (72.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1142116
Fresh178
Picked011
Done000
Total11510125

Merged error: 0.3b

Counts
125 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.4b
(/ 1 (* (* 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
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×expm1-log1p-u sqrt-div log1p-expm1-u 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 → 101
Calls
4 calls:
8.0ms
(* 5.0 (* v v))
4.0ms
(* PI t)
10.0ms
(/ 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))))))

series504.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
270.0ms
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
187.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0485764
12380675
25003669

prune266.0ms

Filtered
113 candidates to 69 candidates (61.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1103113
Fresh268
Picked011
Done011
Total11211123

Merged error: 0.2b

Counts
123 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

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

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×expm1-log1p-u rec-exp 1-exp associate-*r* log1p-expm1-u 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 → 135
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))))))
5.0ms
(/ 1 (* PI t))

series351.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
270.0ms
(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
33.0ms
(/ 1 (* PI t))

simplify69.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05581105
125361013
25001989

prune298.0ms

Filtered
147 candidates to 84 candidates (57.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1425147
Fresh628
Picked101
Done112
Total1508158

Merged error: 0b

Counts
158 → 8

regimes165.0ms

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
02815
12815

end0.0ms

sample1.3s

Algorithm
intervals
Results
494.0ms8106×body80nan
488.0ms8000×body80valid