Details

Time bar (total: 6.5s)

sample45.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
14.0ms292×body80nan

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

rewrite35.0ms

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)
15.0ms
(/ (- 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))))))

series903.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 5.0 (* v v))
22.0ms
(* PI t)
642.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
212.0ms
(* (* 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
07551158
142811002
250011002

prune328.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9511106
Fresh000
Picked101
Done000
Total9611107

Merged error: 0.1b

Counts
107 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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)
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series915.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 5.0 (* v v))
22.0ms
(* PI t)
648.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
211.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify115.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07841315
145011125
250021125

prune344.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh01010
Picked011
Done000
Total10611117

Merged error: 0.1b

Counts
117 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (- 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))))))

rewrite39.0ms

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:
5.0ms
(* 5.0 (* 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))))
8.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 5.0 (* v v))
657.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
209.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
170.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify101.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07791300
141951138
250011138

prune325.0ms

Filtered
108 candidates to 76 candidates (70.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh189
Picked011
Done011
Total10712119

Merged error: 0.1b

Counts
119 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity sqrt-prod
9×associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×sqrt-div add-log-exp
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 *-commutative flip--
1×unswap-sqr
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series398.0ms

Counts
4 → 8
Calls
4 calls:
227.0ms
(* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
171.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify43.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0316590
11380526
25002524

prune224.0ms

Filtered
81 candidates to 57 candidates (70.4%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh099
Picked011
Done022
Total811293

Merged error: 0.1b

Counts
93 → 12

regimes300.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03120
13120

end0.0ms

sample1.0s

Algorithm
intervals
Results
385.0ms8001×body80valid
369.0ms8109×body80nan