Details

Time bar (total: 7.4s)

sample42.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
12.0ms259×body80nan

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: 0.4b

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

rewrite83.0ms

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
(* 3.0 (* v v))
56.0ms
(/ (- 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)
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series793.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (* v v))
563.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
19.0ms
(* PI t)
183.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07531153
142561002
250011002

prune302.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

rewrite150.0ms

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:
6.0ms
(* 3.0 (* v v))
101.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
28.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series937.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3.0 (* v v))
572.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
184.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
150.0ms
(* 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

prune330.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

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

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
20×pow1 prod-exp cbrt-unprod
18×associate-*r/
16×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×pow-prod-down
9×associate-*l*
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
5×cbrt-undiv div-exp
4×frac-times sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 102
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
127.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
33.0ms
(* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
5.0ms
(* t (sqrt 2.0))

series835.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
579.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
188.0ms
(* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
44.0ms
(* t (sqrt 2.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08241329
145731148
250021146

prune325.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
3.4b
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
7.2b
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
7.2b
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

rewrite288.0ms

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:
230.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
12.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
28.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
12.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series720.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
160.0ms
(/ (* (pow v 4) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))
196.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
156.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify108.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07451463
144481240
250011240

prune577.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes252.0ms

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

sample1.0s

Algorithm
intervals
Results
402.0ms8000×body80valid
361.0ms8038×body80nan