Details

sample42.0ms

Algorithm

intervals

Results

11.0ms	37×	body	1280	valid
10.0ms	184×	body	80	valid
7.0ms	35×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 1.9b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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

series141.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
67.0ms	(/ (* 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

prune210.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
1.8b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
22×	`prod-exp`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-l`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r*` `un-div-inv` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

12.0ms	(* x (* (sin y) (/ 1 y)))
9.0ms	(* (sin y) (/ 1 y))
13.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series148.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (* (sin y) (/ 1 y)))
25.0ms	(* (sin y) (/ 1 y))
69.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	422	595
1	2107	461
2	5002	439

prune196.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))))
1.9b	(/ z (* x (/ (sin y) y)))

rewrite30.0ms

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:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
10.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
5.0ms	(/ z (* x (/ (sin y) y)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
69.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
99.0ms	(/ z (* x (/ (sin y) y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (60.0ms)

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

prune301.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b	(/ (* x (/ (sin y) y)) z)
12.8b	(cbrt (/ (* x (/ (sin y) y)) z))
12.8b	(cbrt (/ (* x (/ (sin y) y)) z))
12.8b	(cbrt (/ (* x (/ (sin y) y)) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`prod-exp` `cbrt-unprod`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/l/` `associate-/l`

Counts

4 → 80

Calls

4 calls:

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

series511.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (* x (/ (sin y) y)) z)
148.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
142.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
149.0ms	(cbrt (/ (* x (/ (sin y) y)) z))

simplify37.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	290	732
1	1217	663
2	5001	621

prune300.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes260.0ms

Accuracy

88.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch57.0ms

Steps

Iters	Range		Point
7	8.161754738022101e-44	4.7404342423033475e-42	9.693128553307307e-43
3	-2.646410851444472e-51	-2.2024985200537716e-51	-2.341221123613366e-51

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

354.0ms	1117×	body	1280	valid
341.0ms	5782×	body	80	valid
220.0ms	1015×	body	640	valid
86.0ms	511×	body	320	valid
38.0ms	299×	body	160	valid