Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

315×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	41	5
3	63	5
4	80	5
5	96	5
6	113	5
7	121	5
8	124	5
9	124	5

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: 6.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
6.0b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
14×	`div-inv`
13×	`frac-2neg` `clear-num`
11×	`associate-*r/`
9×	`prod-diff`
8×	`associate-/r/`
6×	`flip3--` `flip--`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`sub-neg`
1×	`fma-neg` `*-commutative`

Counts

3 → 44

Calls

3 calls:

3.0ms	(/ t (- 1.0 z))
6.0ms	(- (/ y z) (/ t (- 1.0 z)))
8.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series121.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ t (- 1.0 z))
33.0ms	(- (/ y z) (/ t (- 1.0 z)))
52.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify43.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	386	527
1	1422	478
2	5001	406

prune130.0ms

Filtered

53 candidates to 39 candidates (73.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	8	54

Merged error: 1.4b

Counts

54 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.4b	(/ 1 (/ (- 1.0 z) t))
6.0b	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

31×	`div-inv`
24×	`frac-sub`
21×	`clear-num`
20×	`frac-2neg` `associate-/r/`
18×	`prod-diff`
14×	`associate-*r/`
10×	`associate-/l/`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`flip3--` `associate-/r*` `flip--`
3×	`sub-neg`
1×	`fma-neg` `div-sub` `*-commutative` `remove-double-div` `inv-pow`

Counts

4 → 71

Calls

4 calls:

3.0ms	(/ (- 1.0 z) t)
7.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
4.0ms	(/ 1 (/ (- 1.0 z) t))
10.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series136.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (- 1.0 z) t)
32.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
28.0ms	(/ 1 (/ (- 1.0 z) t))
45.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify64.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	524	803
1	2232	689
2	5002	655

prune173.0ms

Filtered

83 candidates to 54 candidates (65.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	84	7	91

Merged error: 1.4b

Counts

91 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.1b	(fma y (/ 1 z) (- (/ t (- 1.0 z))))
6.0b	(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
2×	`associate-/r/`
1×	`distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ t (- 1.0 z))
1.0ms	(fma y (/ 1 z) (- (/ t (- 1.0 z))))
2.0ms	(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series134.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ t (- 1.0 z))
44.0ms	(fma y (/ 1 z) (- (/ t (- 1.0 z))))
54.0ms	(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	145	97
1	411	90
2	1365	84
3	5002	78

prune55.0ms

Filtered

18 candidates to 14 candidates (77.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	17	8	25

Merged error: 0.2b

Counts

25 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
2.5b	(* x (- (/ t (- 1.0 z))))
5.3b	(/ (* x y) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/` `distribute-neg-frac`
15×	`frac-add`
11×	`frac-2neg` `clear-num`
8×	`associate-/l*`
7×	`associate-r`
6×	`associate-/r/`
5×	`*-commutative` `div-inv`
3×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `flip--`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `flip-+`

Counts

4 → 43

Calls

4 calls:

3.0ms	(/ t (- 1.0 z))
9.0ms	(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
4.0ms	(* x (- (/ t (- 1.0 z))))
3.0ms	(/ (* x y) z)

series172.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ t (- 1.0 z))
63.0ms	(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
58.0ms	(* x (- (/ t (- 1.0 z))))
19.0ms	(/ (* x y) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	457	356
1	1981	333
2	5002	325

prune141.0ms

Filtered

55 candidates to 46 candidates (83.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	3	3	6
Picked	1	0	1
Done	1	0	1
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

regimes127.0ms

Accuracy

8.5% (4.6b remaining)

Error of 4.7b against oracle of 0.1b and baseline of 5.1b

bsearch58.0ms

Steps

Iters	Range		Point
10	-7.510435586123596e+202	-1.424285786373496e+188	-4.0579913781926326e+189

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	35	15
2	36	15
3	36	15

end0.0ms

sample556.0ms

Algorithm

intervals

Results

307.0ms

10154×

body

valid