Details

sample384.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
9.0ms	32×	body	640	valid
8.0ms	132×	body	80	valid
5.0ms	28×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5
done	24	5

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite38.0ms

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×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `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 → 65

Calls

3 calls:

15.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
11.0ms	(* e (sin v))

series189.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (cos v))
56.0ms	(* e (sin v))

simplify43.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	303	422
1	1415	368
2	5001	362
done	5001	362

prune184.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-exp-log` `add-cbrt-cube`
21×	`associate-r`
19×	`associate-l`
10×	`pow1`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `div-inv` `associate-/l*`
2×	`associate-/r/`
1×	`frac-times` `flip3--` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `flip--`

Counts

4 → 123

Calls

4 calls:

5.0ms	(/ e (fma (cos v) e 1.0))
11.0ms	(* e (cos v))
8.0ms	(* e (cos v))
32.0ms	(* (/ e (fma (cos v) e 1.0)) (/ (sin v) (- 1.0 (* e (cos v)))))

series320.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ e (fma (cos v) e 1.0))
37.0ms	(* e (cos v))
37.0ms	(* e (cos v))
185.0ms	(* (/ e (fma (cos v) e 1.0)) (/ (sin v) (- 1.0 (* e (cos v)))))

simplify70.0ms

Counts

135 → 135

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	553	1080
1	2599	969
2	5001	965
done	5001	965

prune386.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (cos v) e 1.0) e)
0.2b	(/ (sin v) (/ (fma (cos v) e 1.0) e))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

8.0ms	(/ (fma (cos v) e 1.0) e)
12.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series144.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (fma (cos v) e 1.0) e)
82.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify55.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	436	1039
1	1847	982
2	5001	979
done	5001	979

prune308.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `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 → 123

Calls

3 calls:

8.0ms	(* e (cos v))
22.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
13.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* e (cos v))
76.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
90.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	530	1326
1	2377	1222
2	5001	1212
done	5001	1212

prune335.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	13
1	15	13
done	15	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

613.0ms	1487×	body	1280	valid
320.0ms	1286×	body	640	valid
232.0ms	4295×	body	80	valid
111.0ms	646×	body	320	valid
99.0ms	8000×	pre	80	true
34.0ms	286×	body	160	valid