Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

323×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	42	6
3	49	6
4	55	6
5	61	6
6	63	6
7	63	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: 1.8b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
4.2b	(* (/ x y) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
15×	`frac-sub`
12×	`frac-2neg`
10×	`clear-num`
8×	`associate-/l/`
7×	`div-inv`
4×	`flip3-+` `flip-+`
3×	`prod-diff`
2×	`associate-l` `*-commutative` `sub-div`
1×	`sub-neg` `flip3--` `fma-neg` `flip--`

Counts

3 → 35

Calls

3 calls:

3.0ms	(/ (+ x 4.0) y)
8.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0ms	(* (/ x y) z)

series94.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (+ x 4.0) y)
43.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	404	331
1	1883	290
2	5001	276

prune104.0ms

Filtered

44 candidates to 32 candidates (72.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	5	45

Merged error: 0.0b

Counts

45 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x 4.0))
0.0b	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b	(/ 1 (/ y (+ x 4.0)))
4.2b	(* (/ x y) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`associate-/r/`
21×	`associate-*l/`
18×	`clear-num` `frac-sub`
17×	`frac-2neg`
15×	`div-inv`
12×	`prod-diff` `associate-/r*`
5×	`flip3-+` `associate-l` `*-commutative` `flip-+`
4×	`fma-neg`
1×	`sub-neg` `flip3--` `flip--` `remove-double-div` `inv-pow`

Counts

4 → 59

Calls

4 calls:

3.0ms	(/ y (+ x 4.0))
10.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
4.0ms	(/ 1 (/ y (+ x 4.0)))
3.0ms	(* (/ x y) z)

series126.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ y (+ x 4.0))
43.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
27.0ms	(/ 1 (/ y (+ x 4.0)))
21.0ms	(* (/ x y) z)

simplify98.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	514	556
1	2643	475
2	5001	450

prune147.0ms

Filtered

71 candidates to 45 candidates (63.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (/ z (/ y x)))
4.4b	(/ z (/ y x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
14×	`div-inv`
13×	`frac-2neg` `clear-num`
10×	`associate-/l/`
6×	`associate-/r*` `associate-/r/`
5×	`flip3-+` `flip-+`
4×	`prod-diff`
1×	`sub-neg` `flip3--` `fma-neg` `flip--`

Counts

3 → 41

Calls

3 calls:

3.0ms	(/ (+ x 4.0) y)
8.0ms	(- (/ (+ x 4.0) y) (/ z (/ y x)))
3.0ms	(/ z (/ y x))

series90.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (+ x 4.0) y)
45.0ms	(- (/ (+ x 4.0) y) (/ z (/ y x)))
19.0ms	(/ z (/ y x))

simplify67.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	499	425
1	2631	373
2	5003	356

prune123.0ms

Filtered

50 candidates to 39 candidates (78.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	50	5	55

Merged error: 0.0b

Counts

55 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
2.5b	(* (/ z (- y)) (+ x (- x)))
2.5b	(fma x (/ z (- y)) (/ (+ x 4.0) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`frac-times`
6×	`flip3-+` `flip-+`
4×	`neg-mul-1` `frac-2neg` `associate-*l/` `clear-num`
3×	`associate-/r*`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `div-inv` `associate-/l/`
1×	`associate-r` `associate-l` `distribute-rgt1-in` `*-commutative` `fma-udef`

Counts

3 → 27

Calls

3 calls:

3.0ms	(/ (+ x 4.0) y)
5.0ms	(* (/ z (- y)) (+ x (- x)))
1.0ms	(fma x (/ z (- y)) (/ (+ x 4.0) y))

series79.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (+ x 4.0) y)
2.0ms	(* (/ z (- y)) (+ x (- x)))
52.0ms	(fma x (/ z (- y)) (/ (+ x 4.0) y))

simplify33.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	272	185
1	1137	134
2	5001	104

prune85.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	36	5	41

Merged error: 0.0b

Counts

41 → 5

regimes77.0ms

Accuracy

91.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch68.0ms

Steps

Iters	Range		Point
8	2.1058672778619182e+47	1.3262090562853428e+50	3.1968188028043897e+47
6	-0.2390566333155073	-0.023919459482322245	-0.12093481890030686

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	24
1	35	24
2	35	24

end0.0ms

sample495.0ms

Algorithm

intervals

Results

291.0ms

10045×

body

valid