Details

Time bar (total: 13.3s)

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
12.0ms261×body80nan

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
380028
4354228
done500128

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

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

rewrite80.0ms

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:
7.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
53.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series844.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
604.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
196.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.2s

Counts
114 → 114
Iterations

Useful iterations: 2 (454.0ms)

IterNodesCost
02582497
17652326
238022006
done50012006

prune355.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

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×expm1-log1p-u frac-times log1p-expm1-u 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 → 102
Calls
4 calls:
8.0ms
(* 5.0 (* v v))
6.0ms
(* 3.0 (* v v))
8.0ms
(* t (* (sqrt 2.0) PI))
120.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series734.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
25.0ms
(* 3.0 (* v v))
75.0ms
(* t (* (sqrt 2.0) PI))
609.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify1.3s

Counts
114 → 114
Iterations

Useful iterations: 2 (383.0ms)

IterNodesCost
02622431
18062249
237801905
done50001905

prune340.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
6.1b
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log add-cbrt-cube
42×prod-exp cbrt-unprod
36×associate-*r/
16×cbrt-undiv sqrt-div div-exp associate-/r/
14×pow1 flip3-- flip--
8×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity associate-*r*
6×pow-prod-down
4×expm1-log1p-u times-frac associate-*l/ log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg associate-*l* clear-num associate-/r* sqrt-prod *-commutative div-inv
Counts
4 → 128
Calls
4 calls:
49.0ms
(/ 1.0 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
17.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
55.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.5s

Counts
4 → 12
Calls
4 calls:
487.0ms
(/ 1.0 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
195.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
204.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
576.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify497.0ms

Counts
140 → 140
Iterations

Useful iterations: done (492.0ms)

IterNodesCost
02904515
19624014
done50013947

prune474.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* t PI)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (- (pow 1.0 3) (pow v 6)) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
16×add-sqr-sqrt times-frac
13×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
11×pow1
10×prod-exp cbrt-unprod associate-/l*
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×expm1-log1p-u frac-times associate-*r* pow-prod-down log1p-expm1-u div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 116
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
5.0ms
(* t PI)
7.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
53.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (- (pow 1.0 3) (pow v 6)) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))

series506.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 3.0 (* v v))
19.0ms
(* t PI)
83.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* t PI))
375.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* t PI)) (* (- (pow 1.0 3) (pow v 6)) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))))

simplify932.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (309.0ms)

IterNodesCost
02473211
16983014
228822514
done50002514

prune671.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02029
12629
done2629

end0.0ms

sample1.0s

Algorithm
intervals
Results
393.0ms8000×body80valid
366.0ms8112×body80nan