Details

analyze623.0ms (18.3%)

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)

sample1.3s (38.6%)

Results

1.0s	8256×	body	128	valid
117.0ms	1113×	body	128	invalid

Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify114.0ms (3.4%)

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

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

9.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	9.6b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 42 to 21 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	8.9b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

series24.0ms (0.7%)

Counts

2 → 72

Calls

2 calls:

14.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)
9.0ms	(fma.f64 y (-.f64 z x) x)

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 39

Calls

2 calls:

2.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)
0.0ms	(fma.f64 y (-.f64 z x) x)

simplify92.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

615×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`
415×	`times-frac_binary64`
355×	`fma-def_binary64`
346×	`fma-neg_binary64`

Counts

111 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1462
1	170	1315
2	385	1259
3	1042	1259
4	4436	1259
5	4999	1259
6	4955	1259

prune39.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	5	66

Error

0.0b

Counts

66 → 5

Alt Table

Status	Error	Program
▶	2.4b	(*.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))
	36.2b	(*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) z))
	30.8b	y
✓	9.6b	(/.f64 (fma.f64 y (-.f64 z x) x) z)
	35.0b	(/.f64 (/.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 z)) (sqrt.f64 z))

Compiler

Compiled 960 to 244 computations (74.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series19.0ms (0.6%)

Counts

2 → 52

Calls

2 calls:

13.0ms	(fma.f64 (/.f64 (-.f64 1 y) z) x y)
6.0ms	(/.f64 (-.f64 1 y) z)

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64`

Counts

2 → 54

Calls

2 calls:

5.0ms	(/.f64 (-.f64 1 y) z)
0.0ms	(fma.f64 (/.f64 (-.f64 1 y) z) x y)

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-def_binary64`
429×	`neg-mul-1_binary64`
424×	`associate-/l/_binary64`
291×	`distribute-rgt-neg-out_binary64`
281×	`fma-neg_binary64`

Counts

106 → 81

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1312
1	225	1203
2	575	1199
3	1759	1199
4	4062	1199
5	5080	1199

prune51.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	3	0	3
Picked	0	1	1
Done	1	0	1
Total	83	3	86

Error

0.0b

Counts

86 → 3

Alt Table

Status	Error	Program
✓	2.4b	(*.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))
▶	0.0b	(*.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))
	33.5b	(.f64 1 (.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))

Compiler

Compiled 1334 to 815 computations (38.9% saved)

localize6.0ms (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:

13.0ms

(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)

simplify69.0ms (2%)

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

prune13.0ms (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

0.0b

Counts

26 → 3

Alt Table

Status	Error	Program
✓	2.4b	(*.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))
✓	0.0b	(*.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))
▶	33.5b	(.f64 1 (.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))

Compiler

Compiled 347 to 202 computations (41.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 z) (/.f64 y z))
✓	2.4b	(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)

series31.0ms (0.9%)

Counts

2 → 39

Calls

2 calls:

22.0ms	(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)
9.0ms	(-.f64 (/.f64 1 z) (/.f64 y z))

rewrite61.0ms (1.8%)

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:

15.0ms	(-.f64 (/.f64 1 z) (/.f64 y z))
13.0ms	(*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x)

simplify248.0ms (7.3%)

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

prune159.0ms (4.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	301	4	305

Error

Counts

305 → 4

Alt Table

Status	Error	Program
✓	33.5b	(.f64 1 (.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
	47.4b	(.f64 1 (/.f64 (.f64 (-.f64 (.f64 (/.f64 1 z) (/.f64 1 z)) (.f64 (/.f64 y z) (/.f64 y z))) x) (+.f64 (/.f64 1 z) (/.f64 y z))))
✓	2.4b	(*.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))
✓	0.0b	(*.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))

Compiler

Compiled 10536 to 4210 computations (60% saved)

regimes208.0ms (6.1%)

Accuracy

Total 0.0b remaining (59.6%)

Threshold costs 0.0b (59.6%)

Counts

40 → 1

Compiler

Compiled 2300 to 1368 computations (40.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-lft-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	20	11
4	21	11
5	20	11

end205.0ms (6%)

Compiler: Compiled 92 to 60 computations (34.8% saved)

Details

analyze623.0ms (18.3%)

sample1.3s (38.6%)

simplify114.0ms (3.4%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series24.0ms (0.7%)

rewrite4.0ms (0.1%)

simplify92.0ms (2.7%)

prune39.0ms (1.2%)

localize6.0ms (0.2%)

series19.0ms (0.6%)

rewrite8.0ms (0.2%)

simplify74.0ms (2.2%)

prune51.0ms (1.5%)

localize6.0ms (0.2%)

series13.0ms (0.4%)

rewrite1.0ms (0%)

simplify69.0ms (2%)

prune13.0ms (0.4%)

localize7.0ms (0.2%)

series31.0ms (0.9%)

rewrite61.0ms (1.8%)

simplify248.0ms (7.3%)

prune159.0ms (4.7%)

regimes208.0ms (6.1%)

simplify3.0ms (0.1%)

end205.0ms (6%)

Profiling