Details

analyze613.0ms (20.4%)

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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample1.1s (37.5%)

Results

853.0ms	8256×	body	128	valid
117.0ms	1111×	body	128	invalid

Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify118.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2064×	`fma-neg_binary64`
381×	`div-sub_binary64`
365×	`associate-/l*_binary64`
334×	`distribute-neg-frac_binary64`
322×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	12	11
2	25	11
3	47	11
4	82	11
5	143	11
6	228	11
7	442	11
8	1041	11
9	2472	11
10	2805	11
11	2944	11
12	3273	11
13	3441	11
14	3513	11
15	4986	11

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

10.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	10.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 44 to 23 computations (47.7% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	0.0b	(*.f64 y (-.f64 z x))
✓	9.7b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

series27.0ms (0.9%)

Counts

3 → 96

Calls

3 calls:

12.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
8.0ms	(*.f64 y (-.f64 z x))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
42×	`add-cube-cbrt_binary64`
36×	`prod-diff_binary64`
26×	`associate-+r+_binary64`

Counts

3 → 123

Calls

3 calls:

5.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
4.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

simplify115.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

749×	`times-frac_binary64`
694×	`fma-def_binary64`
546×	`fma-neg_binary64`
474×	`distribute-rgt-in_binary64`
195×	`exp-prod_binary64`

Counts

219 → 197

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2678
1	400	2331
2	1328	2223
3	4381	2223
4	4999	2223
5	4929	2223

prune95.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	4	198

Error

0.0b

Counts

198 → 4

Alt Table

Status	Error	Program
	36.7b	(*.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))
✓	10.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
	35.5b	(/.f64 (sqrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))) (/.f64 z (sqrt.f64 (fma.f64 y (-.f64 z x) x))))
▶	2.4b	(fma.f64 (/.f64 (-.f64 1 y) z) x y)

Compiler

Compiled 3797 to 911 computations (76% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.3b	(fma.f64 (/.f64 (-.f64 1 y) z) x y)

series12.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(fma.f64 (/.f64 (-.f64 1 y) z) x y)

rewrite1.0ms (0%)

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 (/.f64 (-.f64 1 y) z) x y)

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

731×	`distribute-rgt-neg-out_binary64`
555×	`distribute-neg-out_binary64`
397×	`unsub-neg_binary64`
368×	`distribute-rgt-in_binary64`
359×	`distribute-lft-in_binary64`

Counts

46 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	574
1	77	497
2	184	497
3	447	497
4	2234	497
5	4465	497
6	5104	497

prune17.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	30	3	33

Error

Counts

33 → 3

Alt Table

Status	Error	Program
	31.8b	(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
✓	10.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	0.0b	(fma.f64 (/.f64 x z) (-.f64 1 y) y)

Compiler

Compiled 393 to 208 computations (47.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(fma.f64 (/.f64 x z) (-.f64 1 y) y)

rewrite1.0ms (0%)

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 (/.f64 x z) (-.f64 1 y) y)

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

705×	`distribute-rgt-neg-out_binary64`
469×	`distribute-neg-out_binary64`
368×	`unsub-neg_binary64`
332×	`distribute-rgt-in_binary64`
326×	`distribute-lft-in_binary64`

Counts

46 → 23

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	586
1	78	509
2	194	497
3	424	497
4	2300	497
5	4502	497
6	5263	497

prune11.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	23	3	26

Error

Counts

26 → 3

Alt Table

Status	Error	Program
▶	31.8b	(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
✓	10.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	0.0b	(fma.f64 (/.f64 x z) (-.f64 1 y) y)

Compiler

Compiled 294 to 148 computations (49.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 z) (/.f64 y z))
✓	2.3b	(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)

series31.0ms (1%)

Counts

2 → 39

Calls

2 calls:

19.0ms	(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
13.0ms	(-.f64 (/.f64 1 z) (/.f64 y z))

rewrite60.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

280×	`times-frac_binary64`
240×	`add-sqr-sqrt_binary64`
232×	`*-un-lft-identity_binary64`
204×	`add-cube-cbrt_binary64`
169×	`prod-diff_binary64`

Counts

2 → 262

Calls

2 calls:

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

simplify225.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

534×	`fma-def_binary64`
491×	`associate-/l*_binary64`
298×	`times-frac_binary64`
222×	`distribute-rgt-in_binary64`
214×	`distribute-lft-in_binary64`

Counts

301 → 302

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	8595
1	613	5669
2	1514	4363
3	4599	4363
4	4991	4363
5	4990	4363
6	4806	4363

prune144.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	302	3	305

Error

Counts

305 → 3

Alt Table

Status	Error	Program
✓	31.8b	(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
✓	10.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	0.0b	(fma.f64 (/.f64 x z) (-.f64 1 y) y)

Compiler

Compiled 9897 to 3582 computations (63.8% saved)

regimes178.0ms (5.9%)

Accuracy

Total 0.0b remaining (77.9%)

Threshold costs 0.0b (77.9%)

Counts

48 → 1

Compiler

Compiled 3075 to 1596 computations (48.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
2	16	11
3	18	11
4	19	11
5	18	11

end45.0ms (1.5%)

Compiler: Compiled 57 to 36 computations (36.8% saved)

Details

analyze613.0ms (20.4%)

sample1.1s (37.5%)

simplify118.0ms (3.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series27.0ms (0.9%)

rewrite23.0ms (0.8%)

simplify115.0ms (3.8%)

prune95.0ms (3.2%)

localize6.0ms (0.2%)

series12.0ms (0.4%)

rewrite1.0ms (0%)

simplify62.0ms (2.1%)

prune17.0ms (0.6%)

localize5.0ms (0.2%)

series13.0ms (0.4%)

rewrite1.0ms (0%)

simplify62.0ms (2.1%)

prune11.0ms (0.4%)

localize5.0ms (0.2%)

series31.0ms (1%)

rewrite60.0ms (2%)

simplify225.0ms (7.5%)

prune144.0ms (4.8%)

regimes178.0ms (5.9%)

simplify3.0ms (0.1%)

end45.0ms (1.5%)

Profiling