Details

analyze111.0ms (12.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (1.4%)

Algorithm

1×

intervals

Results

5.0ms	255×	body	128	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify19.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

prune4.0ms (0.5%)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

rewrite9.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 50

Calls

1 calls:

6.0ms

(*.f64 500 (-.f64 x y))

series11.0ms (1.2%)

Counts

1 → 24

Calls

1 calls:

11.0ms

(*.f64 500 (-.f64 x y))

simplify80.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-l_binary64`
436×	`neg-sub0_binary64`
421×	`associate-r_binary64`
419×	`neg-mul-1_binary64`
389×	`fma-neg_binary64`

Counts

74 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	757
1	184	697
2	493	589
3	2165	589
4	3889	589
5	4897	589

prune27.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	2	128

Error

Counts

128 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	32.8b	(+.f64 (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500) (.f64 (fma.f64 (neg.f64 y) 1 (.f64 y 1)) 500))

Compiler

Compiled 977 to 431 computations (55.9% saved)

localize13.0ms (1.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500)
✓	0.1b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y 1)))

rewrite4.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`

Counts

2 → 30

Calls

2 calls:

3.0ms	(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500)
0.0ms	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y 1)))

series42.0ms (4.6%)

Counts

2 → 26

Calls

2 calls:

24.0ms	(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500)
17.0ms	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 y 1)))

simplify60.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

737×	`unsub-neg_binary64`
724×	`distribute-rgt-neg-out_binary64`
712×	`distribute-rgt-in_binary64`
667×	`distribute-lft-in_binary64`
358×	`fma-def_binary64`

Counts

56 → 97

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	415
1	93	382
2	267	382
3	869	382
4	2918	382
5	5159	382

prune33.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Error

Counts

99 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	32.8b	(+.f64 (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 y 1))) 500) (.f64 (fma.f64 (neg.f64 y) 1 (.f64 y 1)) 500))

Compiler

Compiled 1427 to 907 computations (36.4% saved)

regimes53.0ms (5.8%)

Accuracy

Total 0.0b remaining (9%)

Threshold costs 0.0b (9%)

Compiler

Compiled 684 to 468 computations (31.6% saved)

simplify4.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	16	7
4	17	7
5	17	7

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample428.0ms (46.7%)

Algorithm

1×

intervals

Results

176.0ms	7971×	body	128	valid
2.0ms	83×	body	128	invalid
1.0ms	8×	body	2048	valid
1.0ms	10×	body	1024	valid
0.0ms	6×	body	512	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 47 to 35 computations (25.5% saved)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Details

analyze111.0ms (12.1%)

sample12.0ms (1.4%)

simplify19.0ms (2.1%)

prune4.0ms (0.5%)

localize3.0ms (0.4%)

rewrite9.0ms (0.9%)

series11.0ms (1.2%)

simplify80.0ms (8.7%)

prune27.0ms (3%)

localize13.0ms (1.4%)

rewrite4.0ms (0.5%)

series42.0ms (4.6%)

simplify60.0ms (6.6%)

prune33.0ms (3.7%)

regimes53.0ms (5.8%)

simplify4.0ms (0.4%)

end0.0ms (0%)

sample428.0ms (46.7%)

Profiling

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7