Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

313×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	22	6
1	50	6
2	124	4
3	280	4
4	534	4
5	869	4
6	1397	4
7	3521	4
8	5001	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 0.25 y (- x z))
0.2b	(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma 0.25 y (- x z))
1.0ms	(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

series70.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(fma 0.25 y (- x z))
48.0ms	(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 4 (62.0ms)

Iter	Nodes	Cost
0	65	128
1	154	108
2	551	108
3	2995	105
4	5001	102

prune61.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (/ 4.0 y) (- x z) 2.0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ 4.0 y) (- x z) 2.0)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma (/ 4.0 y) (- x z) 2.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	43	69
1	104	59
2	282	53
3	1332	53
4	5003	53

prune28.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (* y 0.25)) z)
0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.3b	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `fma-def` `times-frac` `fma-neg` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `diff-log` `associate-*r/` `div-exp` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `flip3-+` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

6.0ms	(- (+ x (* y 0.25)) z)
6.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
9.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series84.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (+ x (* y 0.25)) z)
25.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
38.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	365	602
1	1497	458
2	5001	440

prune144.0ms

Filtered

81 candidates to 60 candidates (74.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	83	2	85

Merged error: 0.0b

Counts

85 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 4.0 (/ z y))
0.0b	(- 2.0 (* 4.0 (/ z y)))
0.0b	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `fma-udef` `div-inv`

Counts

3 → 64

Calls

3 calls:

6.0ms	(* 4.0 (/ z y))
3.0ms	(- 2.0 (* 4.0 (/ z y)))
1.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))

series71.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 4.0 (/ z y))
26.0ms	(- 2.0 (* 4.0 (/ z y)))
28.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))

simplify34.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	267	355
1	1067	317
2	5002	316

prune124.0ms

Filtered

73 candidates to 53 candidates (72.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	73	2	75

Merged error: 0.0b

Counts

75 → 2

regimes41.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3

end0.0ms

sample515.0ms

Algorithm

intervals

Results

304.0ms

10167×

body

valid