Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

324×

body

valid

simplify17.0ms

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

prune5.0ms

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: 5.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
0.0b	(/ t (- 1.0 z))
5.3b	(* 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:

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

series114.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (/ y z) (/ t (- 1.0 z)))
37.0ms	(/ t (- 1.0 z))
45.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (38.0ms)

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

prune145.0ms

Filtered

53 candidates to 39 candidates (73.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	42	11	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	11	54

Merged error: 0.3b

Counts

54 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`frac-add`
15×	`frac-2neg` `clear-num`
14×	`associate-*r/`
7×	`neg-mul-1` `associate-/l*`
3×	`+-commutative` `distribute-frac-neg`
2×	`neg-sub0` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-sub` `associate-/r/` `flip-+` `div-inv`
1×	`associate-+r-` `flip3--` `fma-def` `unsub-neg` `*-commutative` `flip--`

Counts

3 → 46

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))))

series122.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- t) (- 1.0 z))
34.0ms	(+ (/ y z) (/ (- t) (- 1.0 z)))
52.0ms	(* x (+ (/ y z) (/ (- t) (- 1.0 z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	455	362
1	1795	328
2	5001	315

prune156.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	56	10	66

Merged error: 0.3b

Counts

66 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b	(/ 1 (- 1.0 z))
0.1b	(* t (/ 1 (- 1.0 z)))
5.3b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*r/`
30×	`frac-sub`
25×	`clear-num`
21×	`div-inv`
18×	`frac-2neg`
15×	`prod-diff`
14×	`un-div-inv`
12×	`associate-r`
10×	`associate-/r/`
7×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
5×	`*-commutative`
3×	`sub-neg`
1×	`fma-neg` `inv-pow`

Counts

4 → 72

Calls

4 calls:

8.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
3.0ms	(/ 1 (- 1.0 z))
4.0ms	(* t (/ 1 (- 1.0 z)))
10.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
23.0ms	(/ 1 (- 1.0 z))
38.0ms	(* t (/ 1 (- 1.0 z)))
45.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	490	757
1	1720	672
2	5002	622

prune164.0ms

Filtered

84 candidates to 42 candidates (50.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	84	10	94

Merged error: 0.3b

Counts

94 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z) (- 1.0 z))
3.3b	(* x (* t z))
4.4b	(fma x (* (- y) (- 1.0 z)) (* x (* t z)))
19.7b	(/ (fma x (* (- y) (- 1.0 z)) (* x (* t z))) (* (- z) (- 1.0 z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 21

Calls

4 calls:

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

series310.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- z) (- 1.0 z))
25.0ms	(* x (* t z))
72.0ms	(fma x (* (- y) (- 1.0 z)) (* x (* t z)))
157.0ms	(/ (fma x (* (- y) (- 1.0 z)) (* x (* t z))) (* (- z) (- 1.0 z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	156	156
1	492	149
2	1882	131
3	5001	126

prune85.0ms

Filtered

33 candidates to 25 candidates (75.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	33	10	43

Merged error: 0.0b

Counts

43 → 10

regimes170.0ms

Accuracy

24.2% (3.6b remaining)

Error of 3.7b against oracle of 0.0b and baseline of 4.8b

bsearch86.0ms

Steps

Iters	Range		Point
10	1.781114052660653e-126	4.9053706167200877e-110	5.995679259709524e-116
5	-4.813597652954098e-16	-1.2209559826642226e-16	-2.630876284636305e-16

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	22
1	53	22
2	55	22
3	55	22

end0.0ms

sample628.0ms

Algorithm

intervals

Results

367.0ms

10206×

body

valid