Details

Time bar (total: 10.5s)

sample61.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
18.0ms253×body80nan

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
378028
4342228
done500028

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize17.0ms

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)
9.0ms
(* (* 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))))

series76.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
22.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
47.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify1.4s

Counts
106 → 106
Iterations

Useful iterations: 2 (495.0ms)

IterNodesCost
02682389
17912234
240891918
done50001918

prune235.0ms

Filtered
72 candidates to 106 candidates (-47.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.3b

Counts
107 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
19×pow1 prod-exp cbrt-unprod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
6.0ms
(* 5.0 (* v v))
6.0ms
(* t (* PI (sqrt 2.0)))
18.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* PI (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 3.0 (* v v))
3.0ms
(* 5.0 (* v v))
7.0ms
(* t (* PI (sqrt 2.0)))
47.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* PI (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: 2 (391.0ms)

IterNodesCost
02642332
18092158
241041824
done50001824

prune233.0ms

Filtered
68 candidates to 106 candidates (-55.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1033106
Fresh268
Picked011
Done000
Total10510115

Merged error: 0.3b

Counts
115 → 10

localize18.0ms

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)))))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×sqrt-div add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 86
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
4.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
13.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
22.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
41.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify1.0s

Counts
98 → 98
Iterations

Useful iterations: 2 (405.0ms)

IterNodesCost
02311791
16541676
230691454
done50001454

prune194.0ms

Filtered
66 candidates to 98 candidates (-48.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh268
Picked101
Done011
Total999108

Merged error: 0.2b

Counts
108 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-exp-log add-cbrt-cube
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*l* prod-exp cbrt-unprod
5×associate-/r*
4×associate-*r* pow-prod-down add-log-exp
3×div-sub associate-/l/
2×flip3-- frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 120
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
4.0ms
(* PI t)
7.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
12.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
11.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
41.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.0s

Counts
132 → 132
Iterations

Useful iterations: 2 (440.0ms)

IterNodesCost
02822963
17392874
229922614
done50012614

prune286.0ms

Filtered
102 candidates to 132 candidates (-29.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1293132
Fresh617
Picked011
Done011
Total1356141

Merged error: 0b

Counts
141 → 6

regimes268.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231
12731
done2731

end0.0ms

sample1.7s

Algorithm
intervals
Results
635.0ms8000×body80valid
603.0ms8227×body80nan

Profiling

Loading profile data...