Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

310×

body

valid

simplify91.0ms

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 (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: 0.0b

Counts

2 → 2

localize7.0ms

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)

series73.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(fma 0.25 y (- x z))
50.0ms	(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 4 (63.0ms)

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

prune54.0ms

Filtered

26 candidates to 21 candidates (19.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
48×	`add-sqr-sqrt` `times-frac`
32×	`add-cube-cbrt`
28×	`associate-r`
16×	`associate-l` `associate-/l*`
12×	`distribute-lft-out--`
9×	`distribute-lft-out`
7×	`add-exp-log` `add-cbrt-cube`
4×	`*-commutative` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv`

Counts

2 → 102

Calls

2 calls:

20.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
18.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
41.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	459	915
1	1913	872
2	5001	850

prune175.0ms

Filtered

108 candidates to 77 candidates (28.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
69×	`*-un-lft-identity` `prod-diff`
64×	`add-cube-cbrt`
52×	`associate-r`
41×	`times-frac`
13×	`associate-l`
10×	`unswap-sqr`
9×	`associate-*r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`-commutative` `div-inv` `associate-/l`
3×	`expm1-log1p-u` `fma-neg` `associate-/r*` `log1p-expm1-u` `difference-of-squares`
2×	`prod-exp` `clear-num` `un-div-inv` `cbrt-unprod` `distribute-lft-out--`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `flip--` `fma-udef`

Counts

3 → 145

Calls

3 calls:

13.0ms	(- 2.0 (* 4.0 (/ z y)))
1.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
8.0ms	(* 4.0 (/ z y))

series80.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- 2.0 (* 4.0 (/ z y)))
27.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
24.0ms	(* 4.0 (/ z y))

simplify86.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	683	2013
1	2624	1426
2	5001	1338

prune368.0ms

Filtered

154 candidates to 76 candidates (50.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	154	2	156

Merged error: 0b

Counts

156 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 1) (/ y (- (+ x (* y 0.25)) z))))
0.0b	(/ y (- (+ x (* y 0.25)) z))
0.2b	(/ (* 4.0 1) (/ y (- (+ x (* y 0.25)) z)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

666×	`times-frac`
662×	`*-un-lft-identity`
434×	`add-sqr-sqrt`
256×	`add-cube-cbrt`
141×	`distribute-lft-out--`
131×	`associate-l`
95×	`distribute-lft-out`
84×	`associate-r`
56×	`unswap-sqr`
47×	`difference-of-squares`
43×	`associate-/r/`
41×	`associate-/r*`
28×	`*-commutative`
22×	`add-exp-log`
19×	`associate-/l*`
17×	`add-cbrt-cube`
16×	`div-inv`
15×	`flip3--` `flip--`
10×	`div-exp`
7×	`cbrt-undiv`
5×	`add-log-exp`
4×	`prod-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `frac-2neg` `clear-num` `log1p-expm1-u`
2×	`1-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 490

Calls

3 calls:

86.0ms	(+ 1.0 (/ (* 4.0 1) (/ y (- (+ x (* y 0.25)) z))))
10.0ms	(/ y (- (+ x (* y 0.25)) z))
25.0ms	(/ (* 4.0 1) (/ y (- (+ x (* y 0.25)) z)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ 1.0 (/ (* 4.0 1) (/ y (- (+ x (* y 0.25)) z))))
89.0ms	(/ y (- (+ x (* y 0.25)) z))
51.0ms	(/ (* 4.0 1) (/ y (- (+ x (* y 0.25)) z)))

simplify93.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1421	5733
1	5001	5377

prune411.0ms

Filtered

499 candidates to 174 candidates (65.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	499	0	499
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	499	2	501

Merged error: 0b

Counts

501 → 2

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample510.0ms

Algorithm

intervals

Results

306.0ms

10003×

body

valid