Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

346×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	4
1	44	4
2	114	4
3	220	4
4	354	4
5	550	4
6	1669	4
7	5001	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: 10.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.8b	(/ (* x (+ (- y z) 1.0)) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

11.0ms	(* x (+ (- y z) 1.0))
9.0ms	(/ (* x (+ (- y z) 1.0)) z)

series69.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ (- y z) 1.0))
38.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	254	285
1	1225	238
2	5001	238

prune98.0ms

Filtered

53 candidates to 35 candidates (66.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	9	54

Merged error: 0b

Counts

54 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

8.0ms	(/ z (+ (- y z) 1.0))
11.0ms	(/ x (/ z (+ (- y z) 1.0)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ z (+ (- y z) 1.0))
45.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	455	1177
1	2110	1129
2	5002	1126

prune221.0ms

Filtered

145 candidates to 93 candidates (64.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	148	6	154

Merged error: 0b

Counts

154 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
0.2b	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
4.4b	(/ (/ z (+ (- y z) 1.0)) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
595×	`*-un-lft-identity`
335×	`add-sqr-sqrt` `add-cube-cbrt`
104×	`distribute-lft-out`
75×	`associate-/r*`
52×	`distribute-lft-out--`
35×	`associate-/r/`
31×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 435

Calls

3 calls:

8.0ms	(/ z (+ (- y z) 1.0))
25.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
12.0ms	(/ (/ z (+ (- y z) 1.0)) x)

series144.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ z (+ (- y z) 1.0))
34.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
62.0ms	(/ (/ z (+ (- y z) 1.0)) x)

simplify80.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1274	4865
1	5001	4384

prune595.0ms

Filtered

444 candidates to 242 candidates (54.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	444	0	444
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	444	6	450

Merged error: 0b

Counts

450 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
4.8b	(* x (/ (+ (- y z) 1.0) z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 76

Calls

2 calls:

9.0ms	(/ (+ (- y z) 1.0) z)
12.0ms	(* x (/ (+ (- y z) 1.0) z))

series67.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (+ (- y z) 1.0) z)
43.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	267	479
1	1167	438
2	5001	432

prune103.0ms

Filtered

82 candidates to 49 candidates (59.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	82	6	88

Merged error: 0b

Counts

88 → 6

regimes123.0ms

Accuracy

97% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.0b

bsearch58.0ms

Steps

Iters	Range		Point
5	2.422837548633747e-27	5.742015328302847e-27	5.677522914258775e-27
4	-2027.7412042345863	-1418.7232340089083	-2008.709392665034

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample490.0ms

Algorithm

intervals

Results

266.0ms

10059×

body

valid