Details

sample297.0ms

Algorithm

intervals

Results

18.0ms	40×	body	1280	valid
13.0ms	49×	body	640	valid
7.0ms	140×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	18×	body	320	valid
1.0ms	9×	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 (sin v))
0.1b	(* e (cos 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:

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

series181.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
55.0ms	(* e (cos v))

simplify45.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

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

prune179.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* (sin v) 1) (fma (cos v) e 1.0))
0.1b	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

4.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
9.0ms	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
88.0ms	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	332	505
1	1444	424
2	5001	420

prune152.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite23.0ms

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:

3.0ms	(* e (cos v))
8.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* e (cos v))
68.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify68.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (56.0ms)

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

prune346.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt e) (fma (cos v) e 1.0))
0.3b	(* (sqrt e) (sin v))
0.3b	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`associate-l`
25×	`sqrt-prod`
19×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
4×	`associate-r` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

3 → 109

Calls

3 calls:

3.0ms	(/ (sqrt e) (fma (cos v) e 1.0))
6.0ms	(* (sqrt e) (sin v))
19.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (sqrt e) (fma (cos v) e 1.0))
75.0ms	(* (sqrt e) (sin v))
101.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))

simplify75.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	624	1087
1	2722	937
2	5001	920

prune304.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	16	6
2	16	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

654.0ms	1531×	body	1280	valid
333.0ms	1254×	body	640	valid
236.0ms	4289×	body	80	valid
111.0ms	628×	body	320	valid
107.0ms	8000×	pre	80	true
45.0ms	298×	body	160	valid