Details

sample223.0ms

Algorithm

intervals

Results

90.0ms	47×	body	1280	valid
19.0ms	47×	body	640	valid
12.0ms	133×	body	80	valid
8.0ms	20×	body	320	valid
6.0ms	256×	pre	80	true
2.0ms	9×	body	160	valid

simplify45.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

16.0ms	(+ 1.0 (* e (cos v)))
34.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
24.0ms	(* e (sin v))

series736.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ 1.0 (* e (cos v)))
210.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
153.0ms	(* e (cos v))
294.0ms	(* e (sin v))

simplify797.0ms

Counts: 82 → 82

prune321.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

9.0ms	(+ (* (cos v) e) 1.0)
9.0ms	(* (cos v) e)
56.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
25.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* (cos v) e) 1.0)
69.0ms	(* (cos v) e)
99.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
148.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

simplify1.1s

Counts: 140 → 140

prune524.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

22.0ms	(+ (* (cos v) e) 1.0)
29.0ms	(/ e (+ (* (cos v) e) 1.0))
18.0ms	(* (cos v) e)
92.0ms	(* (/ e (+ (* (cos v) e) 1.0)) (sin v))

series348.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* (cos v) e) 1.0)
89.0ms	(/ e (+ (* (cos v) e) 1.0))
55.0ms	(* (cos v) e)
145.0ms	(* (/ e (+ (* (cos v) e) 1.0)) (sin v))

simplify828.0ms

Counts: 104 → 104

prune446.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize32.0ms

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))
0.3b	(* (sqrt e) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite193.0ms

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:

75.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
26.0ms	(* (sqrt e) (sin v))
69.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
54.0ms	(* e (cos v))
115.0ms	(* (sqrt e) (sin v))
59.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify1.4s

Counts: 98 → 98

prune343.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify36.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	1517×	body	1280	valid
706.0ms	1204×	body	640	valid
576.0ms	8000×	pre	80	true
538.0ms	4337×	body	80	valid
249.0ms	633×	body	320	valid
66.0ms	309×	body	160	valid