Details

sample310.0ms

Algorithm

intervals

Results

29.0ms	56×	body	1280	valid
15.0ms	49×	body	640	valid
12.0ms	130×	body	80	valid
6.0ms	256×	pre	80	true
4.0ms	16×	body	320	valid
1.0ms	5×	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

localize13.0ms

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))

rewrite29.0ms

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))))
3.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series171.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (sin v))
45.0ms	(* e (cos 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

prune186.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite22.0ms

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

series190.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
38.0ms	(* e (cos v))
87.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify70.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (55.0ms)

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

prune363.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

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

series132.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
41.0ms	(* e (sin v))

simplify36.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	219	303
1	1052	257
2	5001	255

prune132.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

5.0ms	(/ (* (sqrt e) (sin v)) (fma (cos v) e 1.0))
5.0ms	(* (sqrt e) (sin v))
16.0ms	(* (sqrt e) (/ (* (sqrt e) (sin v)) (fma (cos v) e 1.0)))

series317.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(/ (* (sqrt e) (sin v)) (fma (cos v) e 1.0))
75.0ms	(* (sqrt e) (sin v))
103.0ms	(* (sqrt e) (/ (* (sqrt e) (sin v)) (fma (cos v) e 1.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	454	874
1	2163	732
2	5002	716

prune231.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes70.0ms

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	5
1	16	5
2	16	5

end0.0ms

sample2.1s

Algorithm

intervals

Results

731.0ms	1512×	body	1280	valid
399.0ms	1243×	body	640	valid
398.0ms	4327×	body	80	valid
166.0ms	8000×	pre	80	true
139.0ms	588×	body	320	valid
54.0ms	330×	body	160	valid