Details

analyze548.0ms (17.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
2.0ms	38×	body	128	invalid

Compiler

Compiled 32 to 24 computations (25% saved)

simplify127.0ms (4%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-neg_binary64`
880×	`div-sub_binary64`
795×	`fma-def_binary64`
774×	`times-frac_binary64`
463×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	57	14
3	172	14
4	408	14
5	1241	11
6	2694	11
7	4033	11
8	4216	11
9	4586	11
10	4475	11
11	4492	11
12	4700	11

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
6×	`div-sub_binary64`
6×	`add-exp-log_binary64`
4×	`times-frac_binary64`

Counts

1 → 52

Calls

1 calls:

15.0ms

(/.f64 (-.f64 x y) z)

series27.0ms (0.9%)

Counts

1 → 28

Calls

1 calls:

27.0ms

(/.f64 (-.f64 x y) z)

simplify85.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
718×	`times-frac_binary64`
325×	`associate-/l*_binary64`
321×	`associate-l_binary64`
272×	`associate-r_binary64`

Counts

80 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	685
1	212	650
2	744	648
3	4363	648
4	5183	648

prune36.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	3	124

Error

Counts

124 → 3

Alt Table

Status	Error	Program
	0.2b	(fma.f64 4 (pow.f64 (/.f64 z (-.f64 x y)) -1) -2)
▶	0.0b	(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
	18.5b	(fma.f64 4 (neg.f64 (/.f64 y z)) -2)

Compiler

Compiled 955 to 407 computations (57.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cube-cbrt_binary64`
6×	`frac-sub_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64`

Counts

1 → 49

Calls

1 calls:

17.0ms

(-.f64 (/.f64 x z) (/.f64 y z))

series33.0ms (1%)

Counts

1 → 18

Calls

1 calls:

33.0ms

(-.f64 (/.f64 x z) (/.f64 y z))

simplify79.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

485×	`fma-neg_binary64`
436×	`div-sub_binary64`
423×	`cancel-sign-sub-inv_binary64`
280×	`times-frac_binary64`
271×	`associate-l_binary64`

Counts

67 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	597
1	227	583
2	684	568
3	2124	568
4	4073	568
5	5033	568

prune33.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	102	3	105

Error

Counts

105 → 3

Alt Table

Status	Error	Program
▶	0.2b	(fma.f64 4 (pow.f64 (/.f64 z (-.f64 x y)) -1) -2)
✓	0.0b	(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
	18.5b	(fma.f64 4 (neg.f64 (/.f64 y z)) -2)

Compiler

Compiled 1611 to 429 computations (73.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 x y))
✓	0.4b	(pow.f64 (/.f64 z (-.f64 x y)) -1)

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`pow1_binary64`

Counts

2 → 91

Calls

2 calls:

14.0ms	(/.f64 z (-.f64 x y))
11.0ms	(pow.f64 (/.f64 z (-.f64 x y)) -1)

series246.0ms (7.8%)

Counts

2 → 60

Calls

2 calls:

200.0ms	(pow.f64 (/.f64 z (-.f64 x y)) -1)
46.0ms	(/.f64 z (-.f64 x y))

simplify146.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

713×	`associate-/l*_binary64`
392×	`associate-/r*_binary64`
300×	`associate-*l/_binary64`
236×	`associate-*r/_binary64`
228×	`fma-def_binary64`

Counts

151 → 234

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1700
1	309	1602
2	1166	1487
3	4909	1487
4	4955	1487

prune126.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	234	3	237

Error

Counts

237 → 3

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 4 (pow.f64 (/.f64 z (-.f64 x y)) -1) -2)
✓	0.0b	(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
▶	18.5b	(fma.f64 4 (neg.f64 (/.f64 y z)) -2)

Compiler

Compiled 2008 to 1019 computations (49.3% saved)

localize9.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 4 (pow.f64 (/.f64 z (-.f64 x y)) -1) -2)
✓	0.0b	(fma.f64 4 (-.f64 (/.f64 x z) (/.f64 y z)) -2)
✓	18.5b	(fma.f64 4 (neg.f64 (/.f64 y z)) -2)

Compiler

Compiled 36 to 27 computations (25% saved)

regimes166.0ms (5.3%)

Accuracy

Total 0.0b remaining (49.5%)

Threshold costs 0.0b (49.5%)

Compiler

Compiled 634 to 477 computations (24.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	12	14
2	19	14
3	23	14
4	26	14
5	27	14
6	27	14

end1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample1.3s (42.7%)

Algorithm

1×

intervals

Results

672.0ms	8000×	body	128	valid
77.0ms	945×	body	128	invalid

Compiler

Compiled 67 to 50 computations (25.4% saved)

Details

analyze548.0ms (17.4%)

sample22.0ms (0.7%)

simplify127.0ms (4%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite17.0ms (0.5%)

series27.0ms (0.9%)

simplify85.0ms (2.7%)

prune36.0ms (1.1%)

localize7.0ms (0.2%)

rewrite20.0ms (0.6%)

series33.0ms (1%)

simplify79.0ms (2.5%)

prune33.0ms (1.1%)

localize7.0ms (0.2%)

rewrite28.0ms (0.9%)

series246.0ms (7.8%)

simplify146.0ms (4.6%)

prune126.0ms (4%)

localize9.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify18.0ms (0.6%)

prune3.0ms (0.1%)

regimes166.0ms (5.3%)

simplify7.0ms (0.2%)

end1.0ms (0%)

sample1.3s (42.7%)

Profiling