Details

analyze90.0ms (5.1%)

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)

sample33.0ms (1.9%)

Algorithm

1×

intervals

Results

5.0ms	250×	body	128	valid
0.0ms	2×	body	2048	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify22.0ms (1.3%)

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

prune2.0ms (0.1%)

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 200 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(*.f64 200 (-.f64 x y))

rewrite11.0ms (0.6%)

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 200 (-.f64 x y))

simplify64.0ms (3.7%)

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 → 58

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

prune34.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Error

0.0b

Counts

59 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))
▶	0.4b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))

Compiler

Compiled 981 to 439 computations (55.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 200) (-.f64 x y))
✓	0.3b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))

series27.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

15.0ms	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
12.0ms	(*.f64 (sqrt.f64 200) (-.f64 x y))

rewrite30.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`distribute-lft-in_binary64`
65×	`distribute-rgt-in_binary64`
55×	`add-sqr-sqrt_binary64`
54×	`prod-diff_binary64`
51×	`*-un-lft-identity_binary64`

Counts

2 → 131

Calls

2 calls:

9.0ms	(*.f64 (sqrt.f64 200) (-.f64 x y))
9.0ms	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))

simplify115.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-rgt-neg-out_binary64`
380×	`distribute-rgt-in_binary64`
362×	`distribute-lft-in_binary64`
345×	`*-commutative_binary64`
282×	`fma-neg_binary64`

Counts

179 → 162

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2151
1	288	1974
2	946	1650
3	2819	1642
4	4861	1642
5	4737	1642

prune98.0ms (5.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	4	165

Error

Counts

165 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	0.4b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
▶	0.4b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200))) (.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))))

Compiler

Compiled 3576 to 2009 computations (43.8% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))
✓	0.3b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200))) (.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))))
✓	0.4b	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200))))

series67.0ms (3.8%)

Counts

3 → 72

Calls

3 calls:

33.0ms

(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 200) (cbrt.f64 200))) (*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))))

19.0ms

(*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200))))

15.0ms

(*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))

rewrite41.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64`
19×	`add-exp-log_binary64`
19×	`pow1_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`

Counts

3 → 83

Calls

3 calls:

13.0ms

(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 200) (cbrt.f64 200))) (*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))))

12.0ms

(*.f64 (sqrt.f64 200) (*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200))))

7.0ms

(*.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))

simplify88.0ms (5%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-def_binary64`
461×	`distribute-rgt-in_binary64`
454×	`distribute-lft-in_binary64`
449×	`*-commutative_binary64`
345×	`distribute-rgt-neg-out_binary64`

Counts

155 → 135

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	141	2626
1	323	2200
2	1048	2200
3	3084	2200
4	5157	2200

prune102.0ms (5.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	135	4	139

Error

Counts

139 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	0.4b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
▶	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
✓	0.4b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200))) (.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))))

Compiler

Compiled 3196 to 2554 computations (20.1% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 200) (-.f64 x y))
✓	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))

series33.0ms (1.9%)

Counts

2 → 48

Calls

2 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
11.0ms	(*.f64 (cbrt.f64 200) (-.f64 x y))

rewrite31.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`distribute-lft-in_binary64`
65×	`distribute-rgt-in_binary64`
54×	`prod-diff_binary64`
53×	`add-sqr-sqrt_binary64`
49×	`*-un-lft-identity_binary64`

Counts

2 → 132

Calls

2 calls:

10.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
7.0ms	(*.f64 (cbrt.f64 200) (-.f64 x y))

simplify92.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

664×	`distribute-rgt-neg-out_binary64`
432×	`*-commutative_binary64`
405×	`distribute-rgt-in_binary64`
379×	`distribute-lft-in_binary64`
350×	`fma-def_binary64`

Counts

180 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	2183
1	339	1958
2	1053	1634
3	3195	1634
4	5261	1634

prune105.0ms (6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))
✓	0.4b	(.f64 (sqrt.f64 200) (.f64 (sqrt.f64 200) (-.f64 x y)))
✓	0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
✓	0.4b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200))) (.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 (cbrt.f64 200)))))

Compiler

Compiled 4124 to 2538 computations (38.5% saved)

regimes172.0ms (9.8%)

Accuracy

Total 0.0b remaining (88.8%)

Threshold costs 0.0b (88.8%)

Counts

37 → 1

Compiler

Compiled 2404 to 1788 computations (25.6% saved)

simplify3.0ms (0.1%)

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)

sample465.0ms (26.5%)

Algorithm

1×

intervals

Results

168.0ms	7865×	body	128	valid
3.0ms	39×	body	2048	valid
3.0ms	47×	body	1024	valid
2.0ms	34×	body	512	valid
1.0ms	59×	body	128	invalid
1.0ms	15×	body	256	valid

Compiler

Compiled 68 to 56 computations (17.6% 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

analyze90.0ms (5.1%)

sample33.0ms (1.9%)

simplify22.0ms (1.3%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series4.0ms (0.2%)

rewrite11.0ms (0.6%)

simplify64.0ms (3.7%)

prune34.0ms (1.9%)

localize5.0ms (0.3%)

series27.0ms (1.5%)

rewrite30.0ms (1.7%)

simplify115.0ms (6.5%)

prune98.0ms (5.6%)

localize10.0ms (0.6%)

series67.0ms (3.8%)

rewrite41.0ms (2.3%)

simplify88.0ms (5%)

prune102.0ms (5.8%)

localize9.0ms (0.5%)

series33.0ms (1.9%)

rewrite31.0ms (1.8%)

simplify92.0ms (5.3%)

prune105.0ms (6%)

regimes172.0ms (9.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample465.0ms (26.5%)

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