Details

sample300.0ms

Algorithm

intervals

Results

20.0ms	49×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	144×	body	80	valid
4.0ms	256×	pre	80	true
2.0ms	13×	body	320	valid
1.0ms	12×	body	160	valid

simplify11.0ms

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

prune8.0ms

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))

rewrite17.0ms

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))

series177.0ms

Counts

3 → 9

Calls

3 calls:

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

prune174.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
27×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
21×	`associate-r`
18×	`times-frac`
14×	`pow1` `prod-exp`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`div-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r` `-commutative` `associate-/l*`
2×	`flip3-+` `flip-+` `div-inv` `unswap-sqr`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 117

Calls

4 calls:

15.0ms	(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
4.0ms	(/ 1 (+ 1.0 (* e (cos v))))
3.0ms	(* e (cos v))
4.0ms	(* e (sin v))

series199.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
34.0ms	(/ 1 (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
42.0ms	(* e (sin v))

simplify65.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	485	869
1	2552	717
2	5001	680

prune272.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

2.0ms	(/ (fma (cos v) e 1.0) e)
6.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series141.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (fma (cos v) e 1.0) e)
82.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	436	1039
1	1847	982
2	5001	979

prune302.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 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)))

rewrite26.0ms

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))
10.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* e (cos v))
66.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (55.0ms)

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

prune348.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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	17	7
1	17	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

644.0ms	1514×	body	1280	valid
322.0ms	1227×	body	640	valid
235.0ms	4307×	body	80	valid
112.0ms	632×	body	320	valid
108.0ms	8000×	pre	80	true
39.0ms	320×	body	160	valid