Details

Time bar (total: 8.8s)

sample41.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms259×body80nan

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

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) (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))))))

rewrite370.0ms

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:
18.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
310.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
32.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series814.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
27.0ms
(* PI t)
574.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
188.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07531153
142561002
250011002

prune299.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* 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))))))

rewrite308.0ms

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:
16.0ms
(* 3.0 (* v v))
203.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
62.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
23.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series966.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
584.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
194.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
157.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify102.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07771295
141701138
250031138

prune304.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

4.8b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
4.8b
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
7.6b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
7.6b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
164×add-exp-log
78×prod-exp
74×add-cbrt-cube
48×div-exp
30×cbrt-unprod
20×cbrt-undiv
17×times-frac associate-/l*
14×pow-to-exp pow-exp
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
4×pow1 frac-2neg clear-num associate-/r* div-inv add-log-exp sqr-pow
2×unpow2
Counts
4 → 146
Calls
4 calls:
55.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
27.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
57.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
38.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series754.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
169.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
213.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
160.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify110.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07451472
147781238
250011238

prune609.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite647.0ms

Algorithm
rewrite-expression-head
Rules
100×sqrt-div
86×associate-*r/
40×add-exp-log add-cbrt-cube
35×flip3-- flip--
32×frac-times
26×associate-/r/
20×pow1 prod-exp cbrt-unprod
17×associate-*r*
16×associate-*l/
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×pow-prod-down sqrt-prod
5×cbrt-undiv div-exp associate-*l*
4×add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 131
Calls
4 calls:
7.0ms
(* PI t)
458.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
36.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
139.0ms
(* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
28.0ms
(* PI t)
591.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
290.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
197.0ms
(* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010972689
150012280

prune477.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes237.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.1s

Algorithm
intervals
Results
385.0ms8001×body80valid
359.0ms8036×body80nan