Details

analyze108.0ms (8.7%)

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)

sample13.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	252×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify16.0ms (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

prune1.0ms (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 (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite9.0ms (0.7%)

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))

simplify66.0ms (5.3%)

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 (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	4	59

Error

Counts

59 → 4

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))
	33.4b	(.f64 (.f64 200 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
	0.5b	(.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 1018 to 462 computations (54.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 6

Calls

1 calls:

4.0ms

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

rewrite3.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`distribute-lft-out--_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

3.0ms

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

simplify58.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-def_binary64`
509×	`fma-neg_binary64`
469×	`times-frac_binary64`
379×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`

Counts

23 → 31

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	235
1	112	203
2	367	200
3	1082	200
4	2658	199
5	4158	199
6	5138	199

prune20.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Error

Counts

35 → 3

Alt Table

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

Compiler

Compiled 431 to 309 computations (28.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify64.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

967×	`fma-def_binary64`
490×	`neg-mul-1_binary64`
430×	`distribute-rgt-neg-out_binary64`
324×	`associate-l_binary64`
313×	`*-commutative_binary64`

Counts

34 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	262
1	30	247
2	75	247
3	287	247
4	1158	247
5	3238	247
6	4481	247
7	5009	247

prune11.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

Counts

24 → 3

Alt Table

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

Compiler

Compiled 261 to 186 computations (28.7% saved)

localize9.0ms (0.8%)

Local error

Found 2 expressions with local error:

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

series34.0ms (2.7%)

Counts

2 → 48

Calls

2 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (cbrt.f64 200) (-.f64 x y)))
12.0ms	(*.f64 (cbrt.f64 200) (-.f64 x y))

rewrite32.0ms (2.5%)

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 (7.3%)

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

prune96.0ms (7.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	159	3	162

Error

Counts

162 → 3

Alt Table

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

Compiler

Compiled 4106 to 2522 computations (38.6% saved)

regimes108.0ms (8.6%)

Accuracy

Total 0.0b remaining (83.5%)

Threshold costs 0.0b (83.5%)

Counts

22 → 1

Compiler

Compiled 1067 to 797 computations (25.3% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
2	8	8

end0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

sample450.0ms (36%)

Algorithm

1×

intervals

Results

192.0ms	7850×	body	128	valid
4.0ms	58×	body	1024	valid
3.0ms	39×	body	2048	valid
2.0ms	32×	body	512	valid
1.0ms	61×	body	128	invalid
1.0ms	21×	body	256	valid

Compiler

Compiled 51 to 41 computations (19.6% 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

analyze108.0ms (8.7%)

sample13.0ms (1.1%)

simplify16.0ms (1.3%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series4.0ms (0.3%)

rewrite9.0ms (0.7%)

simplify66.0ms (5.3%)

prune34.0ms (2.7%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite3.0ms (0.3%)

simplify58.0ms (4.6%)

prune20.0ms (1.6%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite1.0ms (0.1%)

simplify64.0ms (5.1%)

prune11.0ms (0.9%)

localize9.0ms (0.8%)

series34.0ms (2.7%)

rewrite32.0ms (2.5%)

simplify92.0ms (7.3%)

prune96.0ms (7.7%)

regimes108.0ms (8.6%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample450.0ms (36%)

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