Details

sample301.0ms

Algorithm

intervals

Results

20.0ms	47×	body	1280	valid
13.0ms	46×	body	640	valid
7.0ms	137×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	22×	body	320	valid
0.0ms	4×	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 (cos v))
0.1b	(* e (sin v))

rewrite18.0ms

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

series180.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
58.0ms	(* e (sin v))

simplify43.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (37.0ms)

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

prune188.0ms

Pruning

9 alts after pruning (8 fresh and 1 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)))

rewrite14.0ms

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)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
87.0ms	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (38.0ms)

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

prune159.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

526×	`times-frac`
306×	`add-sqr-sqrt`
281×	`add-cube-cbrt` `*-un-lft-identity`
272×	`sqrt-prod`
136×	`associate-r`
25×	`associate-/l*`
20×	`add-exp-log` `add-cbrt-cube`
16×	`div-inv`
12×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-exp` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

4 → 397

Calls

4 calls:

1.0ms	(sqrt (fma (cos v) e 1.0))
11.0ms	(/ (/ (sin v) (sqrt (fma (cos v) e 1.0))) (sqrt (fma (cos v) e 1.0)))
4.0ms	(/ (sin v) (sqrt (fma (cos v) e 1.0)))
52.0ms	(* e (/ (/ (sin v) (sqrt (fma (cos v) e 1.0))) (sqrt (fma (cos v) e 1.0))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sqrt (fma (cos v) e 1.0))
53.0ms	(/ (/ (sin v) (sqrt (fma (cos v) e 1.0))) (sqrt (fma (cos v) e 1.0)))
95.0ms	(/ (sin v) (sqrt (fma (cos v) e 1.0)))
89.0ms	(* e (/ (/ (sin v) (sqrt (fma (cos v) e 1.0))) (sqrt (fma (cos v) e 1.0))))

simplify72.0ms

Algorithm

egg-herbie

Counts

409 → 409

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1178	6039
1	5001	5315

prune801.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.2b	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
0.3b	(* (sqrt e) (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

3.0ms	(/ (sin v) (fma (cos v) e 1.0))
10.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
15.0ms	(* (sqrt e) (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)))

series258.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (sin v) (fma (cos v) e 1.0))
114.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
95.0ms	(* (sqrt e) (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)))

simplify56.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	495	1065
1	2082	925
2	5001	895

prune266.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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

631.0ms	1442×	body	1280	valid
330.0ms	1255×	body	640	valid
237.0ms	4372×	body	80	valid
115.0ms	8000×	pre	80	true
113.0ms	627×	body	320	valid
38.0ms	304×	body	160	valid