Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	35×	body	1280	valid
8.0ms	194×	body	80	valid
5.0ms	29×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify10.0ms

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

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: 2.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.4b	(/ (* 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))
4.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series156.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
72.0ms	(/ (* x (/ (sin y) y)) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (12.0ms)

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

prune186.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.6b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 111

Calls

3 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
10.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series147.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
68.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify64.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	487	693
1	2670	577
2	5001	564

prune189.0ms

Filtered

120 candidates to 78 candidates (65.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

localize8.0ms

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))))
2.5b	(/ 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:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
8.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
6.0ms	(/ z (* x (/ (sin y) y)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
70.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
97.0ms	(/ z (* x (/ (sin y) y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (59.0ms)

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

prune300.0ms

Filtered

167 candidates to 102 candidates (61.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	166	7	173

Merged error: 0b

Counts

173 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ 1 (* x (/ (sin y) y)))
0.1b	(/ (sin y) y)
2.6b	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

rewrite46.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 285

Calls

4 calls:

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

series204.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (/ (sin y) y))
53.0ms	(/ 1 (* x (/ (sin y) y)))
24.0ms	(/ (sin y) y)
71.0ms	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1172	2560
1	5001	2172

prune366.0ms

Filtered

297 candidates to 148 candidates (49.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	298	6	304

Merged error: 0b

Counts

304 → 6

regimes163.0ms

Accuracy

74.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.2b

bsearch80.0ms

Steps

Iters	Range		Point
8	1.3565839810964883e+110	8.889251151204126e+113	1.1592325891301554e+113
6	-6.690863993779919e+135	-4.8852611179239235e+134	-1.309325788103135e+135

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	14
1	25	14

end0.0ms

sample1.0s

Algorithm

intervals

Results

277.0ms	994×	body	1280	valid
258.0ms	5821×	body	80	valid
192.0ms	1040×	body	640	valid
74.0ms	572×	body	320	valid
25.0ms	285×	body	160	valid