Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	197×	body	80	valid
8.0ms	28×	body	1280	valid
5.0ms	30×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	8×	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: 1.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.5b	(/ (* 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:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series149.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
70.0ms	(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (10.0ms)

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

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.4b	(/ 1 (/ z (* x (/ (sin y) y))))
1.5b	(/ z (* x (/ (sin y) y)))

rewrite32.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 155

Calls

4 calls:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
11.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
5.0ms	(/ z (* x (/ (sin y) y)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
71.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
100.0ms	(/ z (* x (/ (sin y) y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	518	1041
1	2809	893
2	5001	852

prune298.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 299

Calls

3 calls:

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

series175.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ z (/ (sin y) y))
29.0ms	(/ (sin y) y)
81.0ms	(/ x (/ z (/ (sin y) y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1117	2974
1	5001	2852

prune825.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
3.0b	(* (/ x z) (/ (sin y) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 81

Calls

2 calls:

6.0ms	(/ (sin y) y)
14.0ms	(* (/ x z) (/ (sin y) y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (sin y) y)
76.0ms	(* (/ x z) (/ (sin y) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	375	506
1	1719	450
2	5001	450

prune191.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes186.0ms

Accuracy

79.1% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch92.0ms

Steps

Iters	Range		Point
9	9.42413906705472e+166	4.7403349141338714e+174	3.828568004607636e+167
9	-1.5441955118259315e-27	-1.5787481178162737e-32	-3.5372630576773575e-28

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms

sample1.0s

Algorithm

intervals

Results

279.0ms	993×	body	1280	valid
250.0ms	5900×	body	80	valid
187.0ms	1025×	body	640	valid
75.0ms	545×	body	320	valid
26.0ms	292×	body	160	valid