Details

Time bar (total: 7.2s)

sample41.0ms

Algorithm
intervals
Results
13.0ms293×body80nan
12.0ms256×body80valid

simplify73.0ms

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: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite80.0ms

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
(* 5.0 (* v v))
6.0ms
(* PI t)
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
51.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series858.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
198.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
607.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify110.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07551158
142811002
250011002

prune334.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.4b
(* (* PI t) (sqrt 2.0))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite120.0ms

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
(* 5.0 (* v v))
3.0ms
(* PI t)
7.0ms
(* (* PI t) (sqrt 2.0))
100.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
75.0ms
(* (* PI t) (sqrt 2.0))
600.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify114.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07961127
14479959
25001957

prune314.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
4.6b
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
7.3b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
7.3b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite84.0ms

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:
30.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
11.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
26.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
11.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series779.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
170.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
213.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
174.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify104.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07451463
144481240
250011240

prune625.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

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:
8.0ms
(* 5.0 (* v v))
26.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
95.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series994.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
198.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
159.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
612.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify103.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07791300
141951138
250031138

prune312.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.3b

regimes230.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06151
16151

end0.0ms

sample1.0s

Algorithm
intervals
Results
372.0ms8001×body80valid
357.0ms8077×body80nan