Details

analyze1.1s (47%)

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
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample36.0ms (1.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	44×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify21.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

171×	`fma-def_binary64`
87×	`fma-neg_binary64`
36×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
20×	`sub-neg_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	16	10
2	27	10
3	44	10
4	66	10
5	100	10
6	152	10
7	213	10
8	257	10
9	279	10
10	299	10
11	305	10
12	274	10

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))

rewrite35.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`flip3--_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`

Counts

1 → 47

Calls

1 calls:

18.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 735 to 139 computations (81.1% saved)

series30.0ms (1.3%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

27.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 379 to 249 computations (34.3% saved)

simplify73.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-neg_binary64`
558×	`cancel-sign-sub-inv_binary64`
308×	`distribute-rgt-neg-in_binary64`
286×	`div-sub_binary64`
267×	`distribute-lft-neg-in_binary64`

Counts

71 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	856
1	190	853
2	602	845
3	1914	845
4	3959	845
5	4921	845

prune11.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	1	37

Error

0.0b

Counts

37 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x y (neg.f64 (*.f64 t z)))

Compiler

Compiled 503 to 111 computations (77.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(fma.f64 x y (neg.f64 (*.f64 t z)))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`fma-udef_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`add-cbrt-cube_binary64`

Counts

1 → 34

Calls

1 calls:

11.0ms

(fma.f64 x y (neg.f64 (*.f64 t z)))

Compiler

Compiled 388 to 73 computations (81.2% saved)

series29.0ms (1.3%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

28.0ms

(fma.f64 x y (neg.f64 (*.f64 t z)))

Compiler

Compiled 379 to 249 computations (34.3% saved)

simplify126.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

762×	`unsub-neg_binary64`
482×	`fma-neg_binary64`
356×	`neg-sub0_binary64`
337×	`neg-mul-1_binary64`
335×	`associate-l_binary64`

Counts

58 → 23

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	559
1	118	529
2	392	524
3	1453	524
4	2815	524
5	4043	524
6	4971	524
7	4872	524
8	4963	524

prune5.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	1	24

Error

0.0b

Counts

24 → 1

Alt Table

Status	Error	Program
	0.0b	(fma.f64 x y (neg.f64 (*.f64 t z)))

Compiler

Compiled 255 to 58 computations (77.3% saved)

regimes131.0ms (5.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 1905 to 1101 computations (42.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	25	10
3	30	10
4	32	10
5	32	10

end23.0ms (1%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 55 to 35 computations (36.4% saved)

sample666.0ms (28.9%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
45.0ms	1323×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

Iter	Nodes	Cost
0	8	10
1	16	10
2	27	10
3	44	10
4	66	10
5	100	10
6	152	10
7	213	10
8	257	10
9	279	10
10	299	10
11	305	10
12	274	10

Iter	Nodes	Cost
0	8	10
1	16	10
2	27	10
3	44	10
4	66	10
5	100	10
6	152	10
7	213	10
8	257	10
9	279	10
10	299	10
11	305	10
12	274	10

Details

analyze1.1s (47%)

sample36.0ms (1.5%)

simplify21.0ms (0.9%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite35.0ms (1.5%)

series30.0ms (1.3%)

simplify73.0ms (3.2%)

prune11.0ms (0.5%)

localize5.0ms (0.2%)

rewrite19.0ms (0.8%)

series29.0ms (1.3%)

simplify126.0ms (5.5%)

prune5.0ms (0.2%)

regimes131.0ms (5.7%)

simplify3.0ms (0.1%)

end23.0ms (1%)

sample666.0ms (28.9%)

Profiling

Iter	Nodes	Cost
0	8	10
1	16	10
2	27	10
3	44	10
4	66	10
5	100	10
6	152	10
7	213	10
8	257	10
9	279	10
10	299	10
11	305	10
12	274	10