Details

sample572.0ms

Algorithm

intervals

Results

67.0ms	45×	body	1280	valid
20.0ms	34×	body	640	valid
17.0ms	136×	body	80	valid
10.0ms	25×	body	320	valid
7.0ms	256×	pre	80	true
4.0ms	16×	body	160	valid

simplify40.0ms

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize67.0ms

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))

rewrite117.0ms

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:

43.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
23.0ms	(* e (sin v))
26.0ms	(* e (cos v))

series306.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
85.0ms	(* e (sin v))
89.0ms	(* e (cos v))

simplify120.0ms

Counts: 68 → 68

prune249.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite83.0ms

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:

49.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(* e (cos v))
15.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series274.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
47.0ms	(* e (cos v))
134.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify75.0ms

Counts: 126 → 126

prune485.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.3b	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
0.4b	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
742×	`add-sqr-sqrt`
740×	`add-cube-cbrt` `*-un-lft-identity`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 756

Calls

4 calls:

35.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(* e (cos v))
44.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
33.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series457.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
61.0ms	(* e (cos v))
133.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
169.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify223.0ms

Counts: 768 → 768

prune3.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt 1) (/ (+ 1.0 (* e (cos v))) (sqrt (sqrt e))))
0.3b	(* (* (sqrt e) (sin v)) (sqrt (sqrt e)))
0.3b	(/ (+ 1.0 (* e (cos v))) (sqrt (sqrt e)))
0.3b	(* (sqrt e) (sin v))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

402×	`times-frac`
334×	`sqrt-prod`
233×	`add-sqr-sqrt`
229×	`add-cube-cbrt` `*-un-lft-identity`
40×	`associate-/r*`
18×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
9×	`div-inv` `associate-/l*`
7×	`associate-l`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 337

Calls

4 calls:

23.0ms	(/ (sqrt 1) (/ (+ 1.0 (* e (cos v))) (sqrt (sqrt e))))
47.0ms	(* (* (sqrt e) (sin v)) (sqrt (sqrt e)))
45.0ms	(/ (+ 1.0 (* e (cos v))) (sqrt (sqrt e)))
23.0ms	(* (sqrt e) (sin v))

series692.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (sqrt 1) (/ (+ 1.0 (* e (cos v))) (sqrt (sqrt e))))
187.0ms	(* (* (sqrt e) (sin v)) (sqrt (sqrt e)))
225.0ms	(/ (+ 1.0 (* e (cos v))) (sqrt (sqrt e)))
112.0ms	(* (sqrt e) (sin v))

simplify78.0ms

Counts: 349 → 349

prune1.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.9s	1474×	body	1280	valid
765.0ms	8000×	pre	80	true
751.0ms	1283×	body	640	valid
599.0ms	4298×	body	80	valid
259.0ms	631×	body	320	valid
74.0ms	314×	body	160	valid