Details

sample305.0ms

Algorithm

intervals

Results

22.0ms	54×	body	1280	valid
9.0ms	35×	body	640	valid
8.0ms	128×	body	80	valid
5.0ms	27×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	12×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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:

6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
7.0ms	(* e (sin v))

series184.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
59.0ms	(* e (sin v))

simplify44.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

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

prune182.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 111

Calls

3 calls:

1.0ms	(fma (cos v) e 1.0)
3.0ms	(/ (fma (cos v) e 1.0) e)
7.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series183.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(fma (cos v) e 1.0)
56.0ms	(/ (fma (cos v) e 1.0) e)
83.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify56.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	454	1086
1	1962	1024
2	5001	1021

prune353.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 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)))

rewrite24.0ms

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:

4.0ms	(* e (cos v))
5.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* e (cos v))
70.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
85.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

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

prune369.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

4.0ms	(* e (cos v))
4.0ms	(* e (cos v))
6.0ms	(/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))
11.0ms	(/ e (* (sqrt (+ 1.0 (* e (cos v)))) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))))

series269.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* e (cos v))
36.0ms	(* e (cos v))
107.0ms	(/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))
88.0ms	(/ e (* (sqrt (+ 1.0 (* e (cos v)))) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))))

simplify60.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	519	1193
1	2355	1020
2	5001	979

prune345.0ms

Pruning

8 alts after pruning (5 fresh and 3 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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

638.0ms	1497×	body	1280	valid
341.0ms	1255×	body	640	valid
231.0ms	4287×	body	80	valid
116.0ms	614×	body	320	valid
110.0ms	8000×	pre	80	true
44.0ms	347×	body	160	valid