Details

Time bar (total: 8.9s)

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
12.0ms259×body80nan

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

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

rewrite85.0ms

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:
6.0ms
(* 3.0 (* v v))
57.0ms
(/ (- 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))))))

series827.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 3.0 (* v v))
588.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* PI t)
189.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07731205
143311050
250011050

prune341.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

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

rewrite151.0ms

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:
6.0ms
(* 3.0 (* v v))
102.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
27.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
11.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series967.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
593.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
199.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
151.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07981356
142501195
250021195

prune364.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(/ (- 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×expm1-log1p-u frac-times sqrt-prod log1p-expm1-u 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 → 110
Calls
4 calls:
7.0ms
(* 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))

series855.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
592.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
197.0ms
(* PI (* (* t (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))
41.0ms
(* t (sqrt 2.0))

simplify120.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08441387
146481202
250011202

prune386.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 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))))
0.3b
(* PI t)
0.3b
(* (* 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) (* (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)))))))

rewrite398.0ms

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 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* sqrt-prod div-inv unswap-sqr
Counts
4 → 227
Calls
4 calls:
255.0ms
(/ (- 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))))
3.0ms
(* PI t)
28.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
87.0ms
(* (* (* 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)))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
611.0ms
(/ (- 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))))
20.0ms
(* PI t)
423.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
200.0ms
(* (* (* 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)))))))

simplify99.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017617185
150026473

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes240.0ms

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
413.0ms8000×body80valid
387.0ms8038×body80nan