Details

Time bar (total: 7.3s)

sample51.0ms

Algorithm
intervals
Results
18.0ms289×body80nan
16.0ms256×body80valid

simplify71.0ms

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: 0.3b

Counts
2 → 1

localize18.0ms

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))))
0.2b
(* PI t)
0.4b
(* (* 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
(* 3.0 (* v v))
14.0ms
(/ (- 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))))))

series807.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
574.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
24.0ms
(* PI t)
184.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07531153
142561002
250011002

prune298.0ms

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

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×sqrt-div add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 86
Calls
4 calls:
10.0ms
(* 3.0 (* v v))
11.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
3.0ms
(* PI t)
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series721.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (* v v))
490.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
19.0ms
(* PI t)
188.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0594867
13122756
25002756

prune237.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New93598
Fresh628
Picked011
Done000
Total998107

Merged error: 0.0b

Counts
107 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-exp-log add-cbrt-cube
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*l* prod-exp cbrt-unprod
5×associate-/r*
4×associate-*r* pow-prod-down add-log-exp
3×div-sub associate-/l/
2×flip3-- frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 120
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
6.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
11.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series781.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
78.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
657.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify83.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07031484
133531354
250011354

prune326.0ms

Filtered
132 candidates to 96 candidates (72.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1293132
Fresh426
Picked101
Done101
Total1355140

Merged error: 0b

Counts
140 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
497×times-frac
375×add-sqr-sqrt
231×*-un-lft-identity
221×add-cube-cbrt
149×sqrt-prod
88×associate-*l*
86×associate-*r*
79×add-exp-log
55×add-cbrt-cube
37×unswap-sqr
36×div-exp
22×div-inv
21×cbrt-undiv prod-exp
16×pow1
15×cbrt-unprod
13×associate-/l*
7×pow-prod-down
6×associate-/r*
4×sqrt-div associate-/r/ add-log-exp
3×rec-exp 1-exp *-commutative
2×flip3-- div-sub flip--
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/l/
Counts
4 → 390
Calls
4 calls:
12.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms
(* 5.0 (* v v))
5.0ms
(* 3.0 (* v v))
101.0ms
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v))))))

series844.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms
(* 5.0 (* v v))
24.0ms
(* 3.0 (* v v))
502.0ms
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ (- 1.0 (* 5.0 (* v v))) t) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify99.0ms

Algorithm
egg-herbie
Counts
402 → 402
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
018376797
150016410

prune1.1s

Filtered
402 candidates to 240 candidates (59.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4020402
Fresh044
Picked011
Done000
Total4025407

Merged error: 0b

Counts
407 → 5

regimes129.0ms

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
02716
12716

end0.0ms

sample1.3s

Algorithm
intervals
Results
520.0ms8000×body80valid
510.0ms8149×body80nan