Details

analyze1.1s (8.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
13.3%	86.5%	0.2%	9
19.9%	79.9%	0.2%	10
24%	75.2%	0.8%	11
25.4%	72.7%	1.9%	12
35.8%	59.6%	4.6%	13
42%	52.3%	5.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.2s (8.8%)

Results

935.0ms	8256×	body	128	valid
230.0ms	2104×	body	128	invalid

Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess41.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

474×	`unsub-neg_binary64`
459×	`div-sub_binary64`
340×	`fma-def_binary64`
337×	`cancel-sign-sub-inv_binary64`
283×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	70	91
2	146	77
3	357	77
4	844	77
5	2267	77
6	3971	77
0	4	4

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-def_binary64`
660×	`fma-neg_binary64`
203×	`cancel-sign-sub-inv_binary64`
145×	`distribute-rgt-in_binary64`
99×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	11
3	64	11
4	150	11
5	309	11
6	545	11
7	995	11
8	1956	11
9	2893	11
10	3408	11
11	3457	11
12	3487	11
13	3492	11
14	3492	11

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	5.6b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
▶	1.3b	(fma.f64 (-.f64 z x) (/.f64 y t) x)

Compiler

Compiled 71 to 40 computations (43.7% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.3b	(fma.f64 (-.f64 z x) (/.f64 y t) x)

series31.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

17.0ms	(fma.f64 (-.f64 z x) (/.f64 y t) x)	y	inf
1.0ms	(fma.f64 (-.f64 z x) (/.f64 y t) x)	y	-inf
1.0ms	(fma.f64 (-.f64 z x) (/.f64 y t) x)	x	-inf
1.0ms	(fma.f64 (-.f64 z x) (/.f64 y t) x)	z	inf
1.0ms	(fma.f64 (-.f64 z x) (/.f64 y t) x)	z	0

rewrite39.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`log-prod_binary64`
446×	`prod-diff_binary64`
197×	`fma-def_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	175	11
2	2476	11

Stop Event

1×	node limit

Counts

1 → 29

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-def_binary64`
737×	`fma-neg_binary64`
248×	`cancel-sign-sub-inv_binary64`
179×	`distribute-rgt-in_binary64`
131×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	777
1	71	561
2	166	552
3	387	480
4	832	480
5	1538	480
6	2608	480
7	3638	480
8	3678	480
9	3722	480
10	3780	480
11	3780	480

Stop Event

1×

saturated

Counts

77 → 42

prune27.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Error

0.0b

Counts

44 → 4

Alt Table

Status	Error	Program
	5.6b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
	5.7b	(fma.f64 y (/.f64 (-.f64 z x) t) x)
▶	2.6b	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)
✓	1.3b	(fma.f64 (-.f64 z x) (/.f64 y t) x)

Compiler

Compiled 624 to 186 computations (70.2% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)
	1.3b	(fma.f64 (-.f64 z x) (/.f64 y t) x)

series9.8s (73.1%)

Counts

2 → 40

Calls

24 calls:

2.5s	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)	y	0
2.5s	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)	t	inf
2.4s	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)	t	-inf
2.1s	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)	x	0
279.0ms	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)	z	0

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`prod-diff_binary64`
207×	`fma-def_binary64`
199×	`expm1-udef_binary64`
199×	`log1p-udef_binary64`
177×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	235	24
2	2954	24

Stop Event

1×	node limit

Counts

2 → 68

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

347×	`cancel-sign-sub-inv_binary64`
294×	`unswap-sqr_binary64`
183×	`associate-r_binary64`
182×	`associate-/r/_binary64`
175×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3534
1	688	3518
2	2714	3465

Stop Event

1×	node limit

Counts

108 → 103

prune82.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	144	5	149

Error

0.0b

Counts

149 → 5

Alt Table

Status	Error	Program
▶	5.6b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
	5.7b	(fma.f64 y (/.f64 (-.f64 z x) t) x)
✓	2.6b	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)
	31.1b	(fma.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) (/.f64 y t)) x)
✓	1.3b	(fma.f64 (-.f64 z x) (/.f64 y t) x)

Compiler

Compiled 4030 to 1857 computations (53.9% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
✓	0.0b	(*.f64 y (-.f64 z x))
✓	5.6b	(/.f64 (*.f64 y (-.f64 z x)) t)

series47.0ms (0.3%)

Counts

3 → 104

Calls

33 calls:

5.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)	t	inf
2.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))	t	0
2.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))	x	inf
2.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))	x	-inf
2.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))	z	-inf

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

367×	`fma-def_binary64`
200×	`expm1-udef_binary64`
200×	`log1p-udef_binary64`
196×	`fma-neg_binary64`
173×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	205	30
2	3162	28

Stop Event

1×	node limit

Counts

3 → 132

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

949×	`fma-def_binary64`
753×	`fma-neg_binary64`
225×	`cancel-sign-sub-inv_binary64`
168×	`distribute-rgt-in_binary64`
125×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	1232
1	94	1016
2	220	1016
3	526	944
4	1127	944
5	2086	944
6	3282	944
7	3962	944
8	3989	944
9	4019	944
10	4024	944
11	4024	944

Stop Event

1×

saturated

Counts

236 → 153

prune85.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	153	5	158

Error

0.0b

Counts

158 → 5

Alt Table

Status	Error	Program
✓	1.3b	(fma.f64 (-.f64 z x) (/.f64 y t) x)
	6.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 2) (.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (/.f64 1 t)) x)
✓	5.6b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
▶	5.7b	(fma.f64 y (/.f64 (-.f64 z x) t) x)
✓	2.6b	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)

Compiler

Compiled 2302 to 666 computations (71.1% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z x) t)
✓	5.4b	(fma.f64 y (/.f64 (-.f64 z x) t) x)

series27.0ms (0.2%)

Counts

2 → 76

Calls

21 calls:

3.0ms	(fma.f64 y (/.f64 (-.f64 z x) t) x)	y	inf
2.0ms	(fma.f64 y (/.f64 (-.f64 z x) t) x)	z	-inf
2.0ms	(fma.f64 y (/.f64 (-.f64 z x) t) x)	z	inf
2.0ms	(fma.f64 y (/.f64 (-.f64 z x) t) x)	x	-inf
2.0ms	(fma.f64 y (/.f64 (-.f64 z x) t) x)	x	inf

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
211×	`fma-def_binary64`
195×	`egg-rr`
174×	`expm1-udef_binary64`
174×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	178	18
2	2609	18

Stop Event

1×	node limit

Counts

2 → 195

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
689×	`fma-neg_binary64`
194×	`cancel-sign-sub-inv_binary64`
149×	`distribute-rgt-in_binary64`
130×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	1027
1	84	811
2	196	780
3	451	664
4	984	664
5	1979	664
6	3129	664
7	3646	664
8	3677	664
9	3682	664
10	3682	664

Stop Event

1×

saturated

Counts

271 → 213

prune141.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	213	5	218

Error

0.0b

Counts

218 → 5

Alt Table

Status	Error	Program
✓	1.3b	(fma.f64 (-.f64 z x) (/.f64 y t) x)
	6.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 2) (.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (/.f64 1 t)) x)
✓	5.6b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
✓	5.7b	(fma.f64 y (/.f64 (-.f64 z x) t) x)
✓	2.6b	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x)) 3)

Compiler

Compiled 7044 to 2422 computations (65.6% saved)

regimes185.0ms (1.4%)

Accuracy

Total 1.9b remaining (98.9%)

Threshold costs 0b (0%)

Counts

41 → 1

Compiler

Compiled 3096 to 1883 computations (39.2% saved)

simplify2.0ms (0%)

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	10	11
2	15	11
3	17	11
4	18	11

Stop Event

1×

saturated

end63.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 100 to 59 computations (41% saved)

Details

analyze1.1s (8.1%)

sample1.2s (8.8%)

preprocess41.0ms (0.3%)

simplify55.0ms (0.4%)

prune3.0ms (0%)

localize6.0ms (0%)

series31.0ms (0.2%)

rewrite39.0ms (0.3%)

simplify67.0ms (0.5%)

prune27.0ms (0.2%)

localize12.0ms (0.1%)

series9.8s (73.1%)

rewrite48.0ms (0.4%)

simplify65.0ms (0.5%)

prune82.0ms (0.6%)

localize6.0ms (0%)

series47.0ms (0.3%)

rewrite56.0ms (0.4%)

simplify90.0ms (0.7%)

prune85.0ms (0.6%)

localize6.0ms (0%)

series27.0ms (0.2%)

rewrite83.0ms (0.6%)

simplify76.0ms (0.6%)

prune141.0ms (1%)

regimes185.0ms (1.4%)

simplify2.0ms (0%)

end63.0ms (0.5%)

Profiling