Details

sample325.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
11.0ms	137×	body	80	valid
11.0ms	34×	body	640	valid
6.0ms	256×	pre	80	true
5.0ms	23×	body	320	valid
3.0ms	18×	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))
0.1b	(* 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))

series182.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
57.0ms	(* 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

prune181.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 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)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* e (cos v))
68.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
86.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify68.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

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

prune352.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1416×	`times-frac`
669×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
450×	`sqrt-prod`
79×	`associate-/r*`
35×	`div-inv`
31×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 664

Calls

3 calls:

25.0ms	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))
11.0ms	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
3.0ms	(/ (fma (cos v) e 1.0) (sqrt e))

series282.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))
102.0ms	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
83.0ms	(/ (fma (cos v) e 1.0) (sqrt e))

simplify133.0ms

Algorithm

egg-herbie

Counts

673 → 673

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2255	12285
1	5002	11838

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt e) (/ 1 (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))))
0.2b	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
0.3b	(/ (fma (cos v) e 1.0) (sqrt e))
1.1b	(/ 1 (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

1452×	`times-frac`
736×	`add-sqr-sqrt`
680×	`*-un-lft-identity`
672×	`add-cube-cbrt`
253×	`sqrt-prod`
215×	`associate-r`
79×	`associate-/r*`
64×	`add-exp-log`
36×	`div-inv`
34×	`div-exp` `add-cbrt-cube`
28×	`associate-/l*`
18×	`unswap-sqr`
16×	`cbrt-undiv`
10×	`prod-exp`
7×	`pow1`
6×	`rec-exp` `1-exp` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 725

Calls

4 calls:

102.0ms	(* (sqrt e) (/ 1 (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))))
9.0ms	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
3.0ms	(/ (fma (cos v) e 1.0) (sqrt e))
20.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (sqrt e) (/ 1 (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))))
102.0ms	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
77.0ms	(/ (fma (cos v) e 1.0) (sqrt e))
116.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))

simplify134.0ms

Algorithm

egg-herbie

Counts

737 → 737

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2461	10885
1	5001	10095

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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

sample2.0s

Algorithm

intervals

Results

723.0ms	1468×	body	1280	valid
383.0ms	1204×	body	640	valid
358.0ms	4405×	body	80	valid
154.0ms	8000×	pre	80	true
137.0ms	614×	body	320	valid
50.0ms	309×	body	160	valid