Details

sample143.0ms

Algorithm

intervals

Results

36.0ms	18×	body	320	valid
23.0ms	43×	body	1280	valid
15.0ms	42×	body	640	valid
10.0ms	141×	body	80	valid
4.0ms	256×	pre	80	true
2.0ms	12×	body	160	valid

simplify6.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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:

38.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series196.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
47.0ms	(* e (cos v))
50.0ms	(* e (sin v))

simplify38.0ms

Counts: 68 → 68

prune167.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite56.0ms

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:

28.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(* e (cos v))
15.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
38.0ms	(* e (cos v))
98.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify60.0ms

Counts: 126 → 126

prune351.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sin v) (pow e 1/2))
0.3b	(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

33.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
16.0ms	(* (sin v) (pow e 1/2))
33.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
38.0ms	(* e (cos v))
64.0ms	(* (sin v) (pow e 1/2))
48.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify83.0ms

Counts: 104 → 104

prune290.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.3b	(* (sin v) (pow e 1/4))
0.3b	(* (sqrt e) (* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2))))
0.3b	(* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
59×	`prod-exp`
22×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow-to-exp` `pow-exp`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`cbrt-unprod`
8×	`pow1`
7×	`unpow-prod-down`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod` `sqr-pow`
2×	`pow-prod-down`

Counts

4 → 105

Calls

4 calls:

9.0ms	(* e (cos v))
15.0ms	(* (sin v) (pow e 1/4))
75.0ms	(* (sqrt e) (* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2))))
37.0ms	(* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* e (cos v))
92.0ms	(* (sin v) (pow e 1/4))
53.0ms	(* (sqrt e) (* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2))))
64.0ms	(* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2)))

simplify60.0ms

Counts: 117 → 117

prune299.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

940.0ms	1563×	body	1280	valid
584.0ms	8000×	pre	80	true
533.0ms	598×	body	320	valid
505.0ms	1274×	body	640	valid
343.0ms	4275×	body	80	valid
45.0ms	290×	body	160	valid