Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

337×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	35	4
2	51	4
3	71	4
4	85	4
5	89	4
6	89	4

prune3.0ms

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 2 expressions with local error:

0.7b	(- (* x y) (* z t))
5.9b	(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

2 → 48

Calls

2 calls:

5.0ms	(- (* x y) (* z t))
6.0ms	(/ (- (* x y) (* z t)) a)

series101.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* x y) (* z t))
58.0ms	(/ (- (* x y) (* z t)) a)

simplify100.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	218	336
1	769	309
2	2931	308
3	5001	307

prune174.0ms

Filtered

54 candidates to 43 candidates (79.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	41	13	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	13	55

Merged error: 5.9b

Counts

55 → 13

localize9.0ms

Local error

Found 2 expressions with local error:

0.8b	(fma (- y) x (* z t))
5.9b	(/ (fma (- y) x (* z t)) (- a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/r*`
4×	`add-exp-log` `neg-mul-1` `add-cbrt-cube`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 67

Calls

2 calls:

1.0ms	(fma (- y) x (* z t))
5.0ms	(/ (fma (- y) x (* z t)) (- a))

series116.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma (- y) x (* z t))
66.0ms	(/ (fma (- y) x (* z t)) (- a))

simplify64.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	190	621
1	525	594
2	1955	586
3	5001	586

prune246.0ms

Filtered

73 candidates to 57 candidates (78.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	65	8	73
Fresh	8	4	12
Picked	0	1	1
Done	0	0	0
Total	73	13	86

Merged error: 5.9b

Counts

86 → 13

localize15.0ms

Local error

Found 2 expressions with local error:

0.8b	(fma (- y) x (* z t))
6.0b	(* (fma (- y) x (* z t)) (/ 1 (- a)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-r`
32×	`times-frac`
30×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
11×	`add-exp-log`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp`
3×	`neg-mul-1` `associate-l` `unswap-sqr`
2×	`expm1-log1p-u` `div-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `div-inv`

Counts

2 → 69

Calls

2 calls:

1.0ms	(fma (- y) x (* z t))
14.0ms	(* (fma (- y) x (* z t)) (/ 1 (- a)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma (- y) x (* z t))
63.0ms	(* (fma (- y) x (* z t)) (/ 1 (- a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	314	538
1	1403	471
2	5002	428

prune230.0ms

Filtered

75 candidates to 53 candidates (70.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	4	7	11
Picked	0	1	1
Done	0	1	1
Total	74	14	88

Merged error: 5.9b

Counts

88 → 14

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ 1 (/ (- a) (fma (- y) x (* z t))))
0.8b	(fma (- y) x (* z t))
5.8b	(/ (- a) (fma (- y) x (* z t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
141×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
37×	`associate-/r*`
16×	`add-exp-log` `neg-mul-1`
13×	`associate-/l*`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`neg-sub0` `pow-flip` `div-sub` `distribute-frac-neg` `associate-/r/` `fma-udef` `inv-pow`

Counts

3 → 231

Calls

3 calls:

11.0ms	(/ 1 (/ (- a) (fma (- y) x (* z t))))
1.0ms	(fma (- y) x (* z t))
5.0ms	(/ (- a) (fma (- y) x (* z t)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ 1 (/ (- a) (fma (- y) x (* z t))))
49.0ms	(fma (- y) x (* z t))
52.0ms	(/ (- a) (fma (- y) x (* z t)))

simplify89.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	682	2712
1	3114	2468
2	5001	2286

prune482.0ms

Filtered

240 candidates to 125 candidates (52.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	3	8	11
Picked	0	1	1
Done	0	2	2
Total	241	13	254

Merged error: 5.9b

Counts

254 → 13

regimes524.0ms

Accuracy

0% (0.3b remaining)

Error of 7.7b against oracle of 7.4b and baseline of 7.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample678.0ms

Algorithm

intervals

Results

333.0ms

11141×

body

valid