Details

sample36.0ms

Algorithm

intervals

Results

8.0ms	183×	body	80	valid
7.0ms	26×	body	1280	valid
6.0ms	33×	body	640	valid
4.0ms	29×	body	320	valid
1.0ms	11×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.8b

Counts

2 → 1

localize8.0ms

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)

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×	`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))
8.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series146.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)
66.0ms	(/ (* x (/ (sin y) y)) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

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

prune217.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	8	99

Merged error: 0b

Counts

99 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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:

16.0ms	(* x (/ 1 (/ y (sin y))))
7.0ms	(/ 1 (/ y (sin y)))
4.0ms	(/ y (sin y))
12.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series175.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (/ 1 (/ y (sin y))))
30.0ms	(/ 1 (/ y (sin y)))
22.0ms	(/ y (sin y))
72.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify91.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (74.0ms)

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

prune439.0ms

Filtered

227 candidates to 139 candidates (61.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	225	2	227
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	228	7	235

Merged error: 0b

Counts

235 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))
1.8b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite30.0ms

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:

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

series152.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* x (* (sin y) (/ 1 y)))
25.0ms	(* (sin y) (/ 1 y))
71.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (51.0ms)

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

prune199.0ms

Filtered

104 candidates to 66 candidates (63.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	104	7	111

Merged error: 0b

Counts

111 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ y (sin y))
1.9b	(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
156×	`add-exp-log`
111×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
97×	`add-cube-cbrt`
67×	`prod-exp`
59×	`div-exp`
57×	`associate-r`
52×	`add-cbrt-cube`
20×	`rec-exp` `1-exp`
17×	`cbrt-undiv` `cbrt-unprod`
16×	`associate-/r*`
12×	`pow1`
11×	`div-inv`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `un-div-inv` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `associate-/r/` `-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 254

Calls

4 calls:

16.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ 1 (/ y (sin y)))
4.0ms	(/ y (sin y))
16.0ms	(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

series170.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* x (/ 1 (/ y (sin y))))
29.0ms	(/ 1 (/ y (sin y)))
21.0ms	(/ y (sin y))
70.0ms	(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

simplify113.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	951	1800
1	4734	1472
2	5001	1471

prune489.0ms

Filtered

266 candidates to 159 candidates (59.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	266	7	273

Merged error: 0b

Counts

273 → 7

regimes144.0ms

Accuracy

87% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.8b

bsearch71.0ms

Steps

Iters	Range		Point
6	4.7331766031352085e-94	6.736205888637021e-93	1.6470200371492856e-93
9	-1.4539764920475248e-59	-1.5406648051445932e-68	-9.89412923087969e-61

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

282.0ms	987×	body	1280	valid
273.0ms	5816×	body	80	valid
197.0ms	1042×	body	640	valid
86.0ms	603×	body	320	valid
28.0ms	293×	body	160	valid