Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

306×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (76.0ms)

Iter	Nodes	Cost
0	11	4
1	20	4
2	36	4
3	58	4
4	78	4
5	101	4
6	138	4
7	225	4
8	510	4
9	1682	4
10	5001	3

prune8.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1 y) (/ x z) y)

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 (- 1 y) (/ x z) y)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma (- 1 y) (/ x z) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	38	66
1	82	59
2	256	53
3	1313	53
4	5001	53

prune35.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
11.4b	(/ (+ x (* y (- z x))) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `fma-def` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 115

Calls

3 calls:

7.0ms	(+ x (* y (- z x)))
7.0ms	(* y (- z x))
6.0ms	(/ (+ x (* y (- z x))) z)

series121.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (* y (- z x)))
37.0ms	(* y (- z x))
50.0ms	(/ (+ x (* y (- z x))) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	379	842
1	1526	592
2	5002	585

prune237.0ms

Filtered

124 candidates to 79 candidates (63.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	124	4	128

Merged error: 0.0b

Counts

128 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- z x) x)
0.2b	(/ 1 (/ z (fma y (- z x) x)))
11.4b	(/ z (fma y (- z x) x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/r/` `fma-udef` `inv-pow`

Counts

3 → 117

Calls

3 calls:

1.0ms	(fma y (- z x) x)
6.0ms	(/ 1 (/ z (fma y (- z x) x)))
3.0ms	(/ z (fma y (- z x) x))

series135.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(fma y (- z x) x)
38.0ms	(/ 1 (/ z (fma y (- z x) x)))
67.0ms	(/ z (fma y (- z x) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	342	938
1	1475	831
2	5001	757

prune223.0ms

Filtered

126 candidates to 73 candidates (57.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	126	4	130

Merged error: 0.0b

Counts

130 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (sqrt (fma y (- z x) x)))
0.2b	(/ (/ z (sqrt (fma y (- z x) x))) (sqrt (fma y (- z x) x)))
5.2b	(sqrt (fma y (- z x) x))
5.2b	(sqrt (fma y (- z x) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`add-cube-cbrt` `*-un-lft-identity`
150×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 248

Calls

4 calls:

4.0ms	(/ z (sqrt (fma y (- z x) x)))
13.0ms	(/ (/ z (sqrt (fma y (- z x) x))) (sqrt (fma y (- z x) x)))
2.0ms	(sqrt (fma y (- z x) x))
2.0ms	(sqrt (fma y (- z x) x))

series302.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ z (sqrt (fma y (- z x) x)))
68.0ms	(/ (/ z (sqrt (fma y (- z x) x))) (sqrt (fma y (- z x) x)))
65.0ms	(sqrt (fma y (- z x) x))
75.0ms	(sqrt (fma y (- z x) x))

simplify84.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	626	3525
1	2188	3117
2	5001	3060

prune466.0ms

Filtered

260 candidates to 133 candidates (51.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	260	4	264

Merged error: 0.0b

Counts

264 → 4

regimes77.0ms

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	9	3
1	9	3

end0.0ms

sample489.0ms

Algorithm

intervals

Results

269.0ms

10135×

body

valid