Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	193×	body	80	valid
9.0ms	32×	body	1280	valid
5.0ms	26×	body	640	valid
2.0ms	16×	body	320	valid
2.0ms	16×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.7b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series343.0ms

Counts

3 → 9

Calls

3 calls:

246.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
71.0ms	(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune223.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
2.7b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 215

Calls

4 calls:

20.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
8.0ms	(/ 1 (/ y (sin y)))
10.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series175.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (/ 1 (/ y (sin y))))
22.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))
71.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify88.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	720	1479
1	3714	1260
2	5002	1123

prune461.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))
2.7b	(/ (/ x (/ y (sin y))) z)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
50×	`associate-/l*`
23×	`div-inv`
19×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 299

Calls

3 calls:

5.0ms	(/ x (/ y (sin y)))
2.0ms	(/ y (sin y))
18.0ms	(/ (/ x (/ y (sin y))) z)

series144.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ x (/ y (sin y)))
21.0ms	(/ y (sin y))
70.0ms	(/ (/ x (/ y (sin y))) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1170	2939
1	5001	2827

prune823.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (expm1 (log1p (/ 1 (/ y (sin y))))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
2.7b	(/ (* x (expm1 (log1p (/ 1 (/ y (sin y)))))) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log`
19×	`associate-/r*`
18×	`add-cbrt-cube`
10×	`div-exp`
7×	`pow1` `div-inv` `associate-/l*`
6×	`cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num`
2×	`rec-exp` `1-exp` `prod-exp` `cbrt-unprod`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

3.0ms	(* x (expm1 (log1p (/ 1 (/ y (sin y))))))
2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))
3.0ms	(/ (* x (expm1 (log1p (/ 1 (/ y (sin y)))))) z)

series238.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (expm1 (log1p (/ 1 (/ y (sin y))))))
22.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))
114.0ms	(/ (* x (expm1 (log1p (/ 1 (/ y (sin y)))))) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	507	1123
1	2499	944
2	5001	857

prune343.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

80% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.7b

bsearch63.0ms

Steps

Iters	Range		Point
6	5.936573943005401e-47	6.7999863178579116e-46	1.4645147432356022e-46
7	-4.026220402468104e-67	-9.472185781956041e-69	-1.3530667918855812e-68

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

329.0ms	5802×	body	80	valid
325.0ms	1052×	body	1280	valid
221.0ms	1026×	body	640	valid
87.0ms	555×	body	320	valid
36.0ms	303×	body	160	valid