Details

sample51.0ms

Algorithm

intervals

Results

12.0ms	32×	body	1280	valid
12.0ms	185×	body	80	valid
10.0ms	36×	body	640	valid
4.0ms	21×	body	320	valid
1.0ms	7×	body	160	valid

simplify12.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
1.8b	(/ (* x (/ (sin y) y)) z)

rewrite24.0ms

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×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

3.0ms	(/ (sin y) y)
13.0ms	(* x (/ (sin y) y))
5.0ms	(/ (* x (/ (sin y) y)) z)

series29.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (sin y) y)
9.0ms	(* x (/ (sin y) y))
16.0ms	(/ (* x (/ (sin y) y)) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune544.0ms

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	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
0.5b	(/ 1 (/ z (* x (/ (sin y) y))))
1.8b	(/ z (* x (/ (sin y) y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 147

Calls

4 calls:

3.0ms	(/ (sin y) y)
8.0ms	(* x (/ (sin y) y))
10.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
5.0ms	(/ z (* x (/ (sin y) y)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (sin y) y)
9.0ms	(* x (/ (sin y) y))
15.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
23.0ms	(/ z (* x (/ (sin y) y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	508	1006
1	2791	859
2	5002	818

prune801.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
0.1b	(/ 1 (* x (/ (sin y) y)))
2.4b	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
170×	`add-exp-log`
118×	`add-sqr-sqrt`
113×	`add-cube-cbrt` `*-un-lft-identity`
107×	`div-exp`
52×	`add-cbrt-cube`
32×	`prod-exp`
27×	`div-inv`
26×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
19×	`associate-/l*`
16×	`associate-*r/` `associate-/r/`
13×	`associate-r`
12×	`associate-/r*`
9×	`pow1`
8×	`cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `pow-prod-down` `unswap-sqr`
1×	`*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 277

Calls

4 calls:

3.0ms	(/ (sin y) y)
7.0ms	(* x (/ (sin y) y))
7.0ms	(/ 1 (* x (/ (sin y) y)))
15.0ms	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (sin y) y)
9.0ms	(* x (/ (sin y) y))
12.0ms	(/ 1 (* x (/ (sin y) y)))
16.0ms	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1162	2523
1	5001	2136

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
0.5b	(/ (/ 1 1) (/ z (* x (/ (sin y) y))))
1.8b	(/ z (* x (/ (sin y) y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
118×	`add-sqr-sqrt`
114×	`add-exp-log`
113×	`add-cube-cbrt` `*-un-lft-identity`
78×	`div-exp`
52×	`add-cbrt-cube`
27×	`div-inv`
26×	`cbrt-undiv`
20×	`1-exp`
19×	`associate-/l*`
18×	`prod-exp`
16×	`associate-*r/` `associate-/r/`
13×	`associate-r`
12×	`associate-/r*`
8×	`rec-exp` `cbrt-unprod`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 256

Calls

4 calls:

3.0ms	(/ (sin y) y)
7.0ms	(* x (/ (sin y) y))
12.0ms	(/ (/ 1 1) (/ z (* x (/ (sin y) y))))
5.0ms	(/ z (* x (/ (sin y) y)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (sin y) y)
9.0ms	(* x (/ (sin y) y))
15.0ms	(/ (/ 1 1) (/ z (* x (/ (sin y) y))))
25.0ms	(/ z (* x (/ (sin y) y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1145	2151
1	5001	1826

prune996.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes504.0ms

Accuracy

87.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.2b

bsearch36.0ms

Steps

Iters	Range		Point
8	1.6983769221327062e-68	1.1019020778390166e-64	1.0082889708193085e-64
0	-8.61012292905872e+83	-8.482558594993094e+83	-8.546340762025908e+83

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

402.0ms	1040×	body	1280	valid
372.0ms	5796×	body	80	valid
285.0ms	1034×	body	640	valid
116.0ms	588×	body	320	valid
40.0ms	299×	body	160	valid