Details

sample303.0ms

Algorithm

intervals

Results

23.0ms	50×	body	1280	valid
11.0ms	36×	body	640	valid
8.0ms	138×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	21×	body	320	valid
1.0ms	11×	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 (sin v))
0.1b	(* e (cos v))

rewrite20.0ms

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))))
5.0ms	(* e (sin v))
7.0ms	(* e (cos v))

series183.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms	(* e (sin v))
55.0ms	(* e (cos v))

simplify46.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (39.0ms)

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

prune178.0ms

Pruning

7 alts after pruning (6 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)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* e (cos v))
70.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
88.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify69.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (56.0ms)

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

prune356.0ms

Pruning

7 alts after pruning (5 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))

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))

series139.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (fma (cos v) e 1.0) e)
81.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify55.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

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

prune296.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

2713×	`times-frac`
1443×	`sqrt-prod`
1202×	`add-sqr-sqrt`
1196×	`add-cube-cbrt` `*-un-lft-identity`
130×	`div-inv`
56×	`associate-/l*`
32×	`associate-/r*`
21×	`sqrt-div`
19×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `rem-sqrt-square` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 1071

Calls

4 calls:

3.0ms	(sqrt (/ (fma (cos v) e 1.0) e))
3.0ms	(sqrt (/ (fma (cos v) e 1.0) e))
7.0ms	(/ (sin v) (sqrt (/ (fma (cos v) e 1.0) e)))
35.0ms	(/ (/ (sin v) (sqrt (/ (fma (cos v) e 1.0) e))) (sqrt (/ (fma (cos v) e 1.0) e)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (/ (fma (cos v) e 1.0) e))
81.0ms	(sqrt (/ (fma (cos v) e 1.0) e))
113.0ms	(/ (sin v) (sqrt (/ (fma (cos v) e 1.0) e)))
96.0ms	(/ (/ (sin v) (sqrt (/ (fma (cos v) e 1.0) e))) (sqrt (/ (fma (cos v) e 1.0) e)))

simplify273.0ms

Algorithm

egg-herbie

Counts

1083 → 1083

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	3594	26510
1	5001	25360

prune3.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes86.0ms

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

sample1.8s

Algorithm

intervals

Results

686.0ms	1473×	body	1280	valid
373.0ms	1296×	body	640	valid
254.0ms	4321×	body	80	valid
116.0ms	599×	body	320	valid
106.0ms	8000×	pre	80	true
42.0ms	311×	body	160	valid