Details

Time bar (total: 4.3s)

sample58.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
17.0ms253×body80nan

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
0501128

prune11.0ms

Filtered
1 candidates to 1 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 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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))
4.0ms
(* PI t)
10.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
17.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series77.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
23.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
48.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify45.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050091918

prune249.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9610106
Fresh101
Picked101
Done000
Total9810108

Merged error: 0.2b

Counts
108 → 10

localize47.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (/ (sqrt 1.0) (* t (sqrt 2.0))) (/ (pow v 4) PI))
3.0b
(/ (pow v 4) (* t (* PI (* (sqrt 2.0) (sqrt 1.0)))))
3.0b
(/ (pow v 4) (* t (* PI (* (sqrt 2.0) (* 1.0 (sqrt 1.0))))))
4.5b
(* (* v (/ v PI)) (/ (sqrt 1.0) (* t (sqrt 2.0))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
175×add-exp-log
95×add-cbrt-cube
82×prod-exp
53×div-exp
50×times-frac
42×add-sqr-sqrt cbrt-unprod
35×associate-*r*
32×add-cube-cbrt *-un-lft-identity
25×cbrt-undiv
22×unpow-prod-down
14×associate-/l*
12×pow-to-exp pow-exp
11×pow1 associate-*l*
8×sqr-pow
6×sqrt-prod
5×div-inv
4×associate-*r/ pow-prod-down add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 197
Calls
4 calls:
19.0ms
(* (/ (sqrt 1.0) (* t (sqrt 2.0))) (/ (pow v 4) PI))
14.0ms
(/ (pow v 4) (* t (* PI (* (sqrt 2.0) (sqrt 1.0)))))
19.0ms
(/ (pow v 4) (* t (* PI (* (sqrt 2.0) (* 1.0 (sqrt 1.0))))))
14.0ms
(* (* v (/ v PI)) (/ (sqrt 1.0) (* t (sqrt 2.0))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (/ (sqrt 1.0) (* t (sqrt 2.0))) (/ (pow v 4) PI))
16.0ms
(/ (pow v 4) (* t (* PI (* (sqrt 2.0) (sqrt 1.0)))))
22.0ms
(/ (pow v 4) (* t (* PI (* (sqrt 2.0) (* 1.0 (sqrt 1.0))))))
14.0ms
(* (* v (/ v PI)) (/ (sqrt 1.0) (* t (sqrt 2.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050433076

prune965.0ms

Filtered
108 candidates to 209 candidates (-93.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2090209
Fresh099
Picked011
Done000
Total20910219

Merged error: 0.2b

Counts
219 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.4b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
0.4b
(/ 1 (* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
25×add-cbrt-cube
22×pow1
16×associate-*r/ prod-exp
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity pow-prod-down cbrt-unprod
9×associate-*l*
6×sqrt-div div-exp associate-*r*
4×add-log-exp
3×cbrt-undiv rec-exp flip3-- pow-flip times-frac 1-exp *-commutative flip-- associate-/l*
2×associate-/r/ unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod div-inv inv-pow
Counts
4 → 95
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
9.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
11.0ms
(/ 1 (* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))))
8.0ms
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
23.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))
37.0ms
(/ 1 (* PI (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))))
20.0ms
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
056721435

prune206.0ms

Filtered
73 candidates to 107 candidates (-46.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh538
Picked101
Done011
Total1107117

Merged error: 0.2b

Counts
117 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* v (* v 3.0))
0.2b
(* 5.0 (* v v))
0.5b
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
0.6b
(/ (/ 1 PI) (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
31×times-frac
28×add-cbrt-cube
25×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×pow1
13×associate-/l*
12×div-exp
11×prod-exp
9×associate-*l* cbrt-unprod
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv associate-*r*
4×sqrt-div add-log-exp
3×*-commutative div-inv
2×rec-exp flip3-- 1-exp associate-/r/ flip-- unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 110
Calls
4 calls:
6.0ms
(* v (* v 3.0))
6.0ms
(* 5.0 (* v v))
8.0ms
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
12.0ms
(/ (/ 1 PI) (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* v (* v 3.0))
3.0ms
(* 5.0 (* v v))
23.0ms
(* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))
33.0ms
(/ (/ 1 PI) (* t (sqrt (* 2.0 (- 1.0 (* v (* v 3.0)))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
058301593

prune199.0ms

Filtered
79 candidates to 122 candidates (-54.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1202122
Fresh415
Picked011
Done101
Total1254129

Merged error: 0b

Counts
129 → 4

regimes169.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03132
13132

end0.0ms

sample1.6s

Algorithm
intervals
Results
572.0ms8000×body80valid
563.0ms8227×body80nan

Profiling

Loading profile data...