Details

sample3.4s

Algorithm

intervals

Results

1.8s	39×	body	1280	valid
144.0ms	144×	body	80	valid
67.0ms	35×	body	640	valid
55.0ms	26×	body	320	valid
41.0ms	256×	pre	80	true
20.0ms	12×	body	160	valid

simplify512.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	21	11
4	22	11
done	22	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 59

Calls

3 calls:

1.2s	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
27.0ms	(* e (sin v))
21.0ms	(* e (cos v))

series1.5s

Counts

3 → 9

Calls

3 calls:

565.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
426.0ms	(* e (sin v))
504.0ms	(* e (cos v))

simplify4.5s

Counts

68 → 68

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	118	723
1	306	687
2	1510	609
done	5000	605

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
0.1b	(* e (cos v))

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-l`
4×	`associate-/r/`
3×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 81

Calls

3 calls:

306.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
53.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
19.0ms	(* e (cos v))

series1.1s

Counts

3 → 9

Calls

3 calls:

478.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
588.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
71.0ms	(* e (cos v))

simplify5.5s

Counts

90 → 90

Iterations

Useful iterations: done (5.2s)

Iter	Nodes	Cost
0	156	1280
1	408	1227
2	1866	1117
done	5001	1113

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

293.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
21.0ms	(* e (cos v))
40.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series909.0ms

Counts

3 → 9

Calls

3 calls:

261.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
140.0ms	(* e (cos v))
482.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify4.7s

Counts

126 → 126

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	222	2251
1	576	2170
2	2903	2033
done	5000	2033

prune2.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize144.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite814.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

239.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
43.0ms	(* (sqrt e) (sin v))
437.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series1.2s

Counts

4 → 12

Calls

4 calls:

472.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
72.0ms	(* e (cos v))
375.0ms	(* (sqrt e) (sin v))
306.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify7.4s

Counts

98 → 98

Iterations

Useful iterations: done (7.4s)

Iter	Nodes	Cost
0	191	1333
1	526	1248
2	2982	948
done	5001	930

prune2.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes634.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample44.1s

Algorithm

intervals

Results

22.8s	1542×	body	1280	valid
7.9s	4314×	body	80	valid
6.5s	1215×	body	640	valid
5.2s	612×	body	320	valid
411.0ms	8000×	pre	80	true
323.0ms	317×	body	160	valid