Details

analyze374.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	35×	body	80	invalid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4930	9
1	4930	9

prune10.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (/ (+ y 1.0) z)) x)
0.0b	(/ (+ y 1.0) z)
4.4b	(* x (/ (+ y 1.0) z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
16×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`associate-/l*`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--` `flip-+`

Counts

3 → 79

Calls

3 calls:

7.0ms	(- (* x (/ (+ y 1.0) z)) x)
5.0ms	(/ (+ y 1.0) z)
9.0ms	(* x (/ (+ y 1.0) z))

series63.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* x (/ (+ y 1.0) z)) x)
46.0ms	(/ (+ y 1.0) z)
8.0ms	(* x (/ (+ y 1.0) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5158	804

prune104.0ms

Filtered

59 candidates to 88 candidates (-49.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x (+ y 1.0)) z) x)
0.0b	(* x (+ y 1.0))
4.1b	(/ (* x (+ y 1.0)) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-r/` `associate-r*`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip--` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

8.0ms	(- (/ (* x (+ y 1.0)) z) x)
6.0ms	(* x (+ y 1.0))
6.0ms	(/ (* x (+ y 1.0)) z)

series21.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (/ (* x (+ y 1.0)) z) x)
5.0ms	(* x (+ y 1.0))
8.0ms	(/ (* x (+ y 1.0)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4972	588
1	4972	588

prune83.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	66	7	73

Merged error: 0b

Counts

73 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ z (* x (+ y 1.0)))) x)
0.0b	(* x (+ y 1.0))
0.2b	(/ 1 (/ z (* x (+ y 1.0))))
4.2b	(/ z (* x (+ y 1.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
35×	`add-sqr-sqrt`
32×	`add-exp-log` `*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3-+` `flip-+` `associate-/l*` `add-log-exp`
5×	`prod-exp`
4×	`associate-r`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `difference-of-squares`
2×	`frac-2neg` `clear-num` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `pow-flip` `distribute-lft-in` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

17.0ms	(- (/ 1 (/ z (* x (+ y 1.0)))) x)
6.0ms	(* x (+ y 1.0))
9.0ms	(/ 1 (/ z (* x (+ y 1.0))))
6.0ms	(/ z (* x (+ y 1.0)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (/ 1 (/ z (* x (+ y 1.0)))) x)
7.0ms	(* x (+ y 1.0))
9.0ms	(/ 1 (/ z (* x (+ y 1.0))))
9.0ms	(/ z (* x (+ y 1.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4969	1463
1	4969	1463

prune132.0ms

Filtered

86 candidates to 138 candidates (-60.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	140	5	145

Merged error: 0b

Counts

145 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1 (/ (/ z x) (+ y 1.0))) x)
0.2b	(/ 1 (/ (/ z x) (+ y 1.0)))
3.9b	(/ (/ z x) (+ y 1.0))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

635×	`times-frac`
417×	`*-un-lft-identity`
302×	`add-sqr-sqrt`
279×	`add-cube-cbrt`
66×	`distribute-lft-out`
62×	`associate-/r*`
29×	`add-exp-log`
28×	`div-inv`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
7×	`difference-of-squares`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `associate-/l/` `inv-pow`

Counts

3 → 366

Calls

3 calls:

63.0ms	(- (/ 1 (/ (/ z x) (+ y 1.0))) x)
16.0ms	(/ 1 (/ (/ z x) (+ y 1.0)))
10.0ms	(/ (/ z x) (+ y 1.0))

series26.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (/ 1 (/ (/ z x) (+ y 1.0))) x)
8.0ms	(/ 1 (/ (/ z x) (+ y 1.0)))
9.0ms	(/ (/ z x) (+ y 1.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

375 → 375

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4974	5875
1	4974	5875

prune348.0ms

Filtered

212 candidates to 375 candidates (-76.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	375	0	375
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	375	5	380

Merged error: 0b

Counts

380 → 5

regimes186.0ms

Accuracy

96.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.9b

bsearch30.0ms

Steps

Iters	Range		Point
8	2.415374651456539e-30	7.49133652003611e-26	7.039433282014685e-26
9	-545105470735.9075	-2537.494793785866	-3290550168.272956

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	27
1	35	27

end0.0ms

sample454.0ms

Algorithm

intervals

Results

233.0ms	8000×	body	80	valid
30.0ms	1062×	body	80	invalid

Details

analyze374.0ms

sample18.0ms

simplify64.0ms

prune10.0ms

localize6.0ms

rewrite23.0ms

series63.0ms

simplify57.0ms

prune104.0ms

localize8.0ms

rewrite21.0ms

series21.0ms

simplify47.0ms

prune83.0ms

localize8.0ms

rewrite42.0ms

series33.0ms

simplify58.0ms

prune132.0ms

localize8.0ms

rewrite112.0ms

series26.0ms

simplify101.0ms

prune348.0ms

regimes186.0ms

bsearch30.0ms

simplify1.0ms

end0.0ms

sample454.0ms

Profiling