Details

sample36.0ms

Algorithm

intervals

Results

7.0ms	183×	body	80	valid
7.0ms	35×	body	1280	valid
3.0ms	119×	body	80	nan
3.0ms	22×	body	640	valid
2.0ms	14×	body	1280	nan
1.0ms	11×	body	320	valid
1.0ms	12×	body	320	nan
1.0ms	8×	body	640	nan
0.0ms	5×	body	160	valid
0.0ms	4×	body	160	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6

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: 18.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`flip3--` `flip--`
2×	`log-div` `div-sub` `associate-/r/` `associate-/l/`
1×	`sub-neg` `frac-2neg` `clear-num` `div-inv` `associate--r-`

Counts

3 → 15

Calls

3 calls:

4.0ms	(/ (- x y) (- 1.0 y))
2.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
2.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series168.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (- x y) (- 1.0 y))
48.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
81.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify59.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	231	169
1	657	159
2	2657	152
3	5001	151

prune70.0ms

Filtered

24 candidates to 21 candidates (87.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	4	25

Merged error: 0.1b

Counts

25 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
4.4b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
4.5b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`flip3--` `flip--`
6×	`frac-times`
5×	`clear-num`
4×	`frac-2neg` `associate-/r/`
3×	`associate-r/` `associate-r*`
2×	`log-div` `associate-*l/` `un-div-inv` `div-inv`
1×	`sub-neg` `*-commutative` `inv-pow`

Counts

4 → 29

Calls

4 calls:

3.0ms	(/ 1 (- 1.0 y))
5.0ms	(* (- x y) (/ 1 (- 1.0 y)))
2.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
2.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1 (- 1.0 y))
36.0ms	(* (- x y) (/ 1 (- 1.0 y)))
52.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
80.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify34.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	292	258
1	1156	240
2	5002	233

prune96.0ms

Filtered

41 candidates to 30 candidates (73.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0.1b

Counts

45 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x y) (/ 1 (- 1.0 y)) 1.0)
1.7b	(fma (/ (- (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (* 1.0 1.0))
4.5b	(log (/ (fma (/ (- (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (* 1.0 1.0)) (fma (- x y) (/ 1 (- 1.0 y)) 1.0)))
7.1b	(/ (fma (/ (- (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (* 1.0 1.0)) (fma (- x y) (/ 1 (- 1.0 y)) 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`log-div` `clear-num`
2×	`frac-2neg` `fma-udef` `div-inv`
1×	`log-prod` `log-rec`

Counts

4 → 10

Calls

4 calls:

1.0ms	(fma (- x y) (/ 1 (- 1.0 y)) 1.0)
1.0ms	(fma (/ (- (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (* 1.0 1.0))
2.0ms	(log (/ (fma (/ (- (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (* 1.0 1.0)) (fma (- x y) (/ 1 (- 1.0 y)) 1.0)))
2.0ms	(/ (fma (/ (- (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (* 1.0 1.0)) (fma (- x y) (/ 1 (- 1.0 y)) 1.0))

series425.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (- x y) (/ 1 (- 1.0 y)) 1.0)
87.0ms	(fma (/ (- (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (* 1.0 1.0))
174.0ms	(log (/ (fma (/ (- (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (* 1.0 1.0)) (fma (- x y) (/ 1 (- 1.0 y)) 1.0)))
123.0ms	(/ (fma (/ (- (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (* 1.0 1.0)) (fma (- x y) (/ 1 (- 1.0 y)) 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	189	208
1	518	197
2	2316	187
3	5002	182

prune65.0ms

Filtered

22 candidates to 18 candidates (81.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	22	4	26

Merged error: 0.1b

Counts

26 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
1.6b	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
11.9b	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
12.0b	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqr-pow`
10×	`prod-diff`
8×	`log-div` `unpow3`
6×	`unpow-prod-down` `flip3--` `flip--`
4×	`log-prod` `associate-/r/`
3×	`difference-cubes` `difference-of-squares`
2×	`associate--l-` `sub-neg` `flip3-+` `fma-neg` `associate--l+` `flip-+` `div-inv` `associate--r-`
1×	`diff-log`

Counts

4 → 35

Calls

4 calls:

20.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
9.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
13.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
6.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

series1.0s

Counts

4 → 12

Calls

4 calls:

355.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
173.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
160.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
324.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

simplify55.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	553	1056
1	1943	965
2	5001	959

prune175.0ms

Filtered

47 candidates to 38 candidates (80.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	47	4	51

Merged error: 0.1b

Counts

51 → 4

regimes105.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.9b

bsearch140.0ms

Steps

Iters	Range		Point
11	8.759227531050375e-05	1.59478993200196e+33	31013756.918869812
9	-630460809.4077591	-1321.9465148101187	-110591217.13861813

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	15
1	32	15

end0.0ms

sample1.0s

Algorithm

intervals

Results

221.0ms	5680×	body	80	valid
166.0ms	829×	body	1280	valid
104.0ms	763×	body	640	valid
99.0ms	3630×	body	80	nan
55.0ms	343×	body	1280	nan
49.0ms	408×	body	640	nan
45.0ms	460×	body	320	valid
18.0ms	268×	body	160	valid
17.0ms	198×	body	320	nan
6.0ms	102×	body	160	nan