Details

Time bar (total: 9.7s)

sample41.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms255×body80nan

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

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))))))

rewrite190.0ms

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:
17.0ms
(* 5.0 (* v v))
7.0ms
(* PI t)
126.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
36.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series989.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
748.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
192.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify110.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07551158
142811002
250011002

prune303.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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

rewrite344.0ms

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:
17.0ms
(* 5.0 (* v v))
226.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
68.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
28.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series938.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
573.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
189.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
151.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07791300
141951138
250011138

prune324.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite815.0ms

Algorithm
rewrite-expression-head
Rules
368×associate-*r/
228×cbrt-div sqrt-div
168×frac-times
142×flip3-- flip--
84×associate-*l/
80×associate-/r/
69×add-exp-log
47×add-cbrt-cube
41×prod-exp cbrt-unprod
36×pow1
22×pow-prod-down
12×add-sqr-sqrt
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
7×cbrt-undiv div-exp
5×associate-*l*
4×cbrt-prod add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv unswap-sqr
Counts
4 → 219
Calls
4 calls:
71.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
7.0ms
(* PI t)
513.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
196.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
397.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
20.0ms
(* PI t)
576.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
192.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify91.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
017377047
150016344

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

4.1b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
4.1b
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
5.8b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
5.8b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite194.0ms

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:
63.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
30.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
64.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
30.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series757.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
172.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
207.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
164.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify108.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07451463
144481240
250011240

prune607.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes195.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b 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
374.0ms8000×body80valid
345.0ms7913×body80nan