Details

sample304.0ms

Algorithm

intervals

Results

20.0ms	50×	body	1280	valid
10.0ms	40×	body	640	valid
8.0ms	131×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	22×	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

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))
0.2b	(* 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))

series185.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
59.0ms	(* 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

prune186.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(pow (* e (cos v)) 3)
0.1b	(* (* e (cos v)) (* e (cos v)))
0.2b	(* e (sin v))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

4.0ms	(* e (cos v))
4.0ms	(pow (* e (cos v)) 3)
7.0ms	(* (* e (cos v)) (* e (cos v)))
4.0ms	(* e (sin v))

series195.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* e (cos v))
65.0ms	(pow (* e (cos v)) 3)
54.0ms	(* (* e (cos v)) (* e (cos v)))
41.0ms	(* e (sin v))

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	257	356
1	1291	333
2	5001	331

prune310.0ms

Pruning

8 alts after pruning (7 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)))

rewrite21.0ms

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)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* e (cos v))
70.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
89.0ms	(/ 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

prune370.0ms

Pruning

10 alts after pruning (8 fresh and 2 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))

rewrite14.0ms

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)
7.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series143.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (fma (cos v) e 1.0) e)
83.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify56.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (45.0ms)

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

prune288.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes81.0ms

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	24	20
1	24	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

647.0ms	1534×	body	1280	valid
328.0ms	1284×	body	640	valid
234.0ms	4236×	body	80	valid
113.0ms	623×	body	320	valid
105.0ms	8000×	pre	80	true
39.0ms	323×	body	160	valid