Details

Time bar (total: 8.0s)

sample45.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
14.0ms300×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* 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))))))

rewrite37.0ms

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))
3.0ms
(* PI t)
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series824.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
589.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
191.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07531153
142561002
250011002

prune320.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.1b

Counts
107 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:
5.0ms
(* 3.0 (* v v))
4.0ms
(* PI t)
22.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
10.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

series639.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
416.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
179.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07001544
141171316
250021316

prune408.0ms

Filtered
106 candidates to 70 candidates (66.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New997106
Fresh718
Picked011
Done000
Total1069115

Merged error: 0.1b

Counts
115 → 9

localize20.0ms

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))))))

rewrite41.0ms

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))
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
8.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series964.0ms

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))))
190.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
156.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify100.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07771295
141701138
250031138

prune343.0ms

Filtered
108 candidates to 77 candidates (71.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1053108
Fresh347
Picked011
Done011
Total1089117

Merged error: 0.1b

Counts
117 → 9

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

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:
4.0ms
(* PI t)
33.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
13.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))))
20.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))

series948.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* PI t)
428.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))) (- (* 1.0 1.0) (* (* v v) (* v v)))))
305.0ms
(* (* PI t) (* (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))))
187.0ms
(* (* (* PI t) (* (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))) (cbrt (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
0166710659
150029546

prune1.4s

Filtered
231 candidates to 167 candidates (72.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2274231
Fresh336
Picked101
Done112
Total2328240

Merged error: 0.0b

Counts
240 → 8

regimes251.0ms

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

sample1.0s

Algorithm
intervals
Results
389.0ms8000×body80valid
368.0ms7772×body80nan