Details

sample297.0ms

Algorithm

intervals

Results

18.0ms	39×	body	1280	valid
10.0ms	38×	body	640	valid
8.0ms	147×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
2.0ms	13×	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

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))
0.2b	(* e (sin 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:

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

series182.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
59.0ms	(* e (sin v))

simplify43.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (36.0ms)

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

prune186.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

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

series135.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (fma (cos v) e 1.0) e)
80.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify57.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (43.0ms)

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

prune308.0ms

Pruning

8 alts after pruning (6 fresh and 2 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)))

rewrite20.0ms

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:

4.0ms	(* e (cos v))
5.0ms	(/ (+ 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:

37.0ms	(* e (cos v))
67.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
84.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify67.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

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

prune368.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

10.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
5.0ms	(* (sqrt e) (sin v))
10.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
35.0ms	(* e (cos v))
73.0ms	(* (sqrt e) (sin v))
43.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify73.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	531	775
1	2666	629
2	5001	607

prune253.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes101.0ms

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

sample1.7s

Algorithm

intervals

Results

655.0ms	1505×	body	1280	valid
363.0ms	1330×	body	640	valid
251.0ms	4222×	body	80	valid
127.0ms	628×	body	320	valid
102.0ms	8000×	pre	80	true
41.0ms	315×	body	160	valid