Details

Time bar (total: 9.5s)

sample41.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms259×body80nan

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

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))))))

rewrite192.0ms

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 expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 102
Calls
4 calls:
18.0ms
(* 3.0 (* v v))
7.0ms
(* PI t)
127.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
37.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
26.0ms
(* PI t)
575.0ms
(/ (- 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))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07731205
143311050
250011050

prune546.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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))))))

rewrite342.0ms

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 expm1-log1p-u frac-times div-exp log1p-expm1-u 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 → 104
Calls
4 calls:
17.0ms
(* 3.0 (* v v))
227.0ms
(/ (- 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)))))))
26.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series943.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3.0 (* v v))
576.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
190.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
150.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07981356
142501195
250021195

prune362.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize44.0ms

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) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) 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)))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
185×add-exp-log
93×prod-exp
67×add-cbrt-cube
54×div-exp
27×cbrt-unprod
23×times-frac associate-/l*
20×pow-to-exp pow-exp
18×cbrt-undiv unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqr-pow
4×pow1 expm1-log1p-u frac-2neg clear-num associate-/r* log1p-expm1-u div-inv add-log-exp
2×unpow2
Counts
4 → 170
Calls
4 calls:
59.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
64.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
61.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
29.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

series920.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
330.0ms
(/ (pow v 4) (* t (* (sqrt 2.0) (* (pow (sqrt 1.0) 3) PI))))
207.0ms
(/ (pow v 2) (* t (* (sqrt 2.0) (* (sqrt 1.0) PI))))
163.0ms
(/ (* (pow v 2) (sqrt 1.0)) (* t (* (sqrt 2.0) PI)))

simplify118.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08641719
148651494
250011494

prune825.0ms

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)))))))

rewrite717.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 139
Calls
4 calls:
7.0ms
(* PI t)
508.0ms
(/ (- 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))))
40.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
153.0ms
(* (* (* 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:
20.0ms
(* PI t)
601.0ms
(/ (- 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))))
287.0ms
(* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
196.0ms
(* (* (* PI t) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (sqrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011212785
150012469

prune538.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes255.0ms

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
382.0ms8001×body80valid
349.0ms8036×body80nan