Details

Time bar (total: 7.1s)

sample50.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
15.0ms250×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

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

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 (- 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))))))

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:
6.0ms
(* 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))))
4.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series835.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
597.0ms
(/ (- 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)
194.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07531153
142561002
250011002

prune293.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.1b

Counts
107 → 9

localize17.0ms

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))

rewrite36.0ms

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×frac-times 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 → 96
Calls
4 calls:
6.0ms
(* 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)
7.0ms
(* (* PI t) (sqrt 2.0))

series715.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
595.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
26.0ms
(* PI t)
70.0ms
(* (* PI t) (sqrt 2.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
07941122
14454959
25001957

prune267.0ms

Filtered
108 candidates to 67 candidates (62.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh268
Picked011
Done000
Total1089117

Merged error: 0.1b

Counts
117 → 9

localize24.0ms

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)

rewrite60.0ms

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×frac-times 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 → 117
Calls
4 calls:
27.0ms
(/ (- 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:
608.0ms
(/ (- 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))))
344.0ms
(* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
70.0ms
(* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
25.0ms
(* PI t)

simplify44.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09482164
150011597

prune374.0ms

Filtered
129 candidates to 77 candidates (59.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1263129
Fresh347
Picked011
Done011
Total1299138

Merged error: 0.1b

Counts
138 → 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 (- 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))))))

rewrite45.0ms

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 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 → 96
Calls
4 calls:
6.0ms
(* 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))))
9.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series989.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
613.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
199.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
152.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify116.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07771295
141701138
250031138

prune288.0ms

Filtered
108 candidates to 76 candidates (70.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1062108
Fresh246
Picked011
Done022
Total1089117

Merged error: 0.1b

Counts
117 → 9

regimes238.0ms

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
502.0ms8000×body80valid
474.0ms7897×body80nan