Details

sample124.0ms

Algorithm

intervals

Results

51.0ms	256×	body	80	valid
46.0ms	236×	body	80	nan

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
4	4493
3	820
2	160
1	44
0	19

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -6 (* v v))
0.2b	(* (* v v) 5)
0.5b	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
0.5b	(* t (sqrt (+ (* -6 (* v v)) 2)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

283×	`times-frac`
131×	`add-sqr-sqrt`
125×	`*-un-lft-identity`
107×	`add-cube-cbrt`
67×	`associate-/l*`
37×	`add-cbrt-cube` `add-exp-log`
36×	`difference-of-squares`
16×	`pow1`
14×	`associate-/r/`
12×	`cbrt-undiv` `div-exp`
10×	`associate-r` `prod-exp` `cbrt-unprod`
9×	`div-inv`
7×	`associate-l` `pow-prod-down`
6×	`flip3--` `flip--`
4×	`sqrt-div` `associate-*r/` `sqrt-prod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`div-sub` `*-commutative`
2×	`flip3-+` `flip-+`
1×	`clear-num` `associate-/r*` `frac-2neg` `associate-/l/`

Counts

4 → 227

Calls

4 calls:

14.0ms	(* -6 (* v v))
18.0ms	(* (* v v) 5)
55.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
61.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* -6 (* v v))
39.0ms	(* (* v v) 5)
511.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
137.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))

simplify2.7s

Counts

239 → 239

Iterations

Iter	Nodes
2	4349
1	1491
0	596

prune3.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -6 (* v v))
0.2b	(* -6 (* v v))
0.2b	(* -6 (* v v))
0.2b	(* 5 (* v v))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

28.0ms	(* -6 (* v v))
33.0ms	(* -6 (* v v))
26.0ms	(* -6 (* v v))
26.0ms	(* 5 (* v v))

series173.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* -6 (* v v))
42.0ms	(* -6 (* v v))
44.0ms	(* -6 (* v v))
45.0ms	(* 5 (* v v))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
3	2272
2	498
1	154
0	59

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -6 (* v v))
0.2b	(* 5 (* v v))
0.5b	(/ (/ (/ (- 1 (* 5 (* v v))) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
0.5b	(* t (sqrt (+ (* -6 (* v v)) 2)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

283×	`times-frac`
131×	`add-sqr-sqrt`
125×	`*-un-lft-identity`
107×	`add-cube-cbrt`
67×	`associate-/l*`
37×	`add-cbrt-cube` `add-exp-log`
36×	`difference-of-squares`
16×	`pow1`
14×	`associate-/r/`
12×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-l` `div-inv`
8×	`associate-r`
7×	`pow-prod-down`
6×	`flip3--` `flip--`
4×	`sqrt-div` `associate-*r/` `sqrt-prod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`div-sub` `*-commutative`
2×	`flip3-+` `flip-+`
1×	`clear-num` `associate-/r*` `frac-2neg` `associate-/l/`

Counts

4 → 227

Calls

4 calls:

14.0ms	(* -6 (* v v))
16.0ms	(* 5 (* v v))
56.0ms	(/ (/ (/ (- 1 (* 5 (* v v))) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
103.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))

series1.2s

Counts

4 → 12

Calls

4 calls:

57.0ms	(* -6 (* v v))
35.0ms	(* 5 (* v v))
468.0ms	(/ (/ (/ (- 1 (* 5 (* v v))) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
607.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))

simplify2.5s

Counts

239 → 239

Iterations

Iter	Nodes
2	4344
1	1492
0	594

prune3.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (sqrt (- 1 (* 5 (* v v)))) (* t (sqrt PI))) (/ (/ (/ (sqrt (- 1 (* 5 (* v v)))) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2))))
1.0b	(/ (/ (/ (sqrt (- 1 (* 5 (* v v)))) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2)))
1.0b	(sqrt PI)
1.0b	(sqrt PI)

rewrite460.0ms

Algorithm

rewrite-expression-head

Rules

7828×	`times-frac`
3923×	`sqrt-prod`
3701×	`add-sqr-sqrt`
3635×	`*-un-lft-identity`
3167×	`add-cube-cbrt`
1326×	`associate-r`
936×	`difference-of-squares`
220×	`associate-/l*`
160×	`associate-/r/`
94×	`div-inv`
78×	`flip3--` `flip--`
67×	`add-cbrt-cube` `add-exp-log`
32×	`cbrt-undiv` `div-exp`
16×	`prod-exp` `cbrt-unprod`
15×	`unswap-sqr`
10×	`associate-l`
8×	`pow1`
6×	`associate-/r*`
4×	`sqrt-div` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 2982

Calls

4 calls:

209.0ms	(* (/ (sqrt (- 1 (* 5 (* v v)))) (* t (sqrt PI))) (/ (/ (/ (sqrt (- 1 (* 5 (* v v)))) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2))))
69.0ms	(/ (/ (/ (sqrt (- 1 (* 5 (* v v)))) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2)))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)

series1.1s

Counts

4 → 8

Calls

4 calls:

505.0ms	(* (/ (sqrt (- 1 (* 5 (* v v)))) (* t (sqrt PI))) (/ (/ (/ (sqrt (- 1 (* 5 (* v v)))) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2))))
615.0ms	(/ (/ (/ (sqrt (- 1 (* 5 (* v v)))) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2)))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify40.3s

Counts

2990 → 2990

Iterations

Iter	Nodes
1	9196
0	2698

prune56.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	36
1	36
0	29

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	8062×	body	80	nan
1.0s	8000×	body	80	valid