Details

sample133.0ms

Algorithm

intervals

Results

55.0ms	282×	body	80	nan
52.0ms	256×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
4	4435
3	818
2	162
1	46
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* v v))
0.2b	(* PI t)
0.3b	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.5b	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*r/`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`flip3--` `sqrt-div` `associate-r` `associate-/r/` `flip--`
7×	`associate-l` `pow-prod-down`
4×	`frac-times` `cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `sqrt-prod` `div-inv`

Counts

4 → 98

Calls

4 calls:

26.0ms	(* 3 (* v v))
11.0ms	(* PI t)
147.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
55.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series968.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 3 (* v v))
37.0ms	(* PI t)
599.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
284.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
2	3314
1	710
0	233

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* v v))
0.2b	(* PI t)
0.5b	(/ (/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v v) (* (* v v) 9)))))) (* PI t))
1.0b	(/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v v) (* (* v v) 9))))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
35×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-cbrt-cube` `add-exp-log`
21×	`associate-/l*`
11×	`pow1`
10×	`sqrt-prod`
7×	`cbrt-undiv` `div-exp`
6×	`sqrt-div` `associate-l` `prod-exp` `associate-*r/` `associate-/r/` `cbrt-unprod`
5×	`associate-/r*`
4×	`flip3--` `associate-r` `pow-prod-down` `insert-posit16` `div-inv` `flip--` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

26.0ms	(* 3 (* v v))
8.0ms	(* PI t)
42.0ms	(/ (/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v v) (* (* v v) 9)))))) (* PI t))
32.0ms	(/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v v) (* (* v v) 9))))))

series664.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 3 (* v v))
29.0ms	(* PI t)
397.0ms	(/ (/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v v) (* (* v v) 9)))))) (* PI t))
210.0ms	(/ (- 1 (* (* v v) 5)) (sqrt (* 2 (- 1 (* (* v v) (* (* v v) 9))))))

simplify1.1s

Counts

146 → 146

Iterations

Iter	Nodes
2	2437
1	697
0	272

prune2.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* v v) (* v v))
0.1b	(* (* v v) (* v v))
0.2b	(* -5 (* v v))
0.2b	(* 3 (* v v))

rewrite479.0ms

Algorithm

rewrite-expression-head

Rules

236×	`pow1`
72×	`pow-prod-up`
52×	`pow-prod-down`
44×	`pow-sqr`
38×	`add-cbrt-cube` `add-exp-log`
36×	`pow-plus`
26×	`pow2`
22×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`swap-sqr`

Counts

4 → 168

Calls

4 calls:

32.0ms	(* (* v v) (* v v))
411.0ms	(* (* v v) (* v v))
13.0ms	(* -5 (* v v))
19.0ms	(* 3 (* v v))

series150.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* v v) (* v v))
35.0ms	(* (* v v) (* v v))
34.0ms	(* -5 (* v v))
28.0ms	(* 3 (* v v))

simplify3.8s

Counts

180 → 180

Iterations

Iter	Nodes
3	4819
2	791
1	252
0	93

prune3.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* v v) (* v v))
0.2b	(* -5 (* v v))
0.2b	(* 3 (* v v))
2.9b	(log (exp (* -5 (* v v))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

126×	`pow1`
36×	`pow-prod-up`
29×	`pow-prod-down`
26×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
14×	`prod-exp` `cbrt-unprod`
13×	`pow2`
9×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`insert-posit16`
3×	`log-prod` `associate-r` `log-pow` `*-commutative` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `swap-sqr` `rem-log-exp`

Counts

4 → 119

Calls

4 calls:

49.0ms	(* (* v v) (* v v))
26.0ms	(* -5 (* v v))
13.0ms	(* 3 (* v v))
4.0ms	(log (exp (* -5 (* v v))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* v v) (* v v))
44.0ms	(* -5 (* v v))
33.0ms	(* 3 (* v v))
47.0ms	(log (exp (* -5 (* v v))))

simplify10.1s

Counts

131 → 131

Iterations

Iter	Nodes
3	8491
2	1016
1	286
0	111

prune3.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	47
1	47
0	32

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
1.5s	8135×	body	80	nan