Details

Time bar (total: 7.4s)

sample46.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
15.0ms250×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 0.4b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite40.0ms

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
(* 3.0 (* v v))
18.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
3.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series850.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 3.0 (* v v))
605.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* PI t)
192.0ms
(* (* 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
07731205
143311050
250011050

prune328.0ms

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: 0.1b

Counts
115 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt 2.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×associate-*r/ associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 104
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
17.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
4.0ms
(* PI t)
6.0ms
(* (* PI t) (sqrt 2.0))

series709.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
589.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
25.0ms
(* PI t)
70.0ms
(* (* PI t) (sqrt 2.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08131169
145241002
250011002

prune311.0ms

Filtered
116 candidates to 76 candidates (65.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1142116
Fresh268
Picked011
Done000
Total1169125

Merged error: 0.1b

Counts
125 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log
56×add-cbrt-cube
48×prod-exp cbrt-unprod
36×pow1
22×pow-prod-down
13×add-sqr-sqrt associate-*r*
11×add-cube-cbrt *-un-lft-identity
8×cbrt-undiv associate-*r/ div-exp associate-/r/
7×flip3-- flip--
6×cbrt-prod sqrt-div
5×associate-*l*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 125
Calls
4 calls:
31.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
10.0ms
(* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
14.0ms
(* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
4.0ms
(* PI t)

series1.0s

Counts
4 → 12
Calls
4 calls:
600.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
350.0ms
(* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
78.0ms
(* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
20.0ms
(* PI t)

simplify44.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09672249
150011673

prune416.0ms

Filtered
137 candidates to 85 candidates (62.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1343137
Fresh347
Picked011
Done011
Total1379146

Merged error: 0.1b

Counts
146 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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:
6.0ms
(* 3.0 (* v v))
20.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
10.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
8.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
599.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
207.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
173.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07981356
142501195
250021195

prune300.0ms

Filtered
116 candidates to 84 candidates (72.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1142116
Fresh246
Picked011
Done022
Total1169125

Merged error: 0.1b

Counts
125 → 9

regimes406.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample1.3s

Algorithm
intervals
Results
504.0ms8000×body80valid
475.0ms7897×body80nan