Details

analyze1.0s (39.2%)

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)

sample35.0ms (1.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	43×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify21.0ms (0.8%)

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 → 1

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 16

Calls

1 calls:

3.0ms

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

series27.0ms (1%)

Counts

1 → 48

Calls

1 calls:

27.0ms

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

simplify133.0ms (5%)

Algorithm

1×	egg-herbie

Rules

480×	`times-frac_binary64`
463×	`fma-def_binary64`
444×	`unsub-neg_binary64`
265×	`sub-neg_binary64`
232×	`distribute-rgt-neg-in_binary64`

Counts

64 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	682
1	113	658
2	347	652
3	974	652
4	2183	652
5	3451	652
6	4489	652
7	4961	652
8	4995	652
9	4859	652

prune17.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	2	85

Error

Counts

85 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 x y) (.f64 z t))
▶	27.1b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (+.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 478 to 122 computations (74.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 z t) (*.f64 z t))
✓	0.3b	(.f64 (.f64 x y) (*.f64 x y))
✓	1.7b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
✓	25.7b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (+.f64 (.f64 x y) (.f64 z t)))

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`pow1_binary64`
34×	`pow-prod-down_binary64`
30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
16×	`cbrt-unprod_binary64`

Counts

4 → 127

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (+.f64 (.f64 x y) (.f64 z t)))
6.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
5.0ms	(.f64 (.f64 x y) (*.f64 x y))
5.0ms	(.f64 (.f64 z t) (*.f64 z t))

series274.0ms (10.4%)

Counts

4 → 144

Calls

4 calls:

124.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (+.f64 (.f64 x y) (.f64 z t)))
82.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
36.0ms	(.f64 (.f64 x y) (*.f64 x y))
31.0ms	(.f64 (.f64 z t) (*.f64 z t))

simplify189.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-def_binary64`
256×	`associate-l_binary64`
235×	`distribute-rgt-in_binary64`
227×	`distribute-lft-in_binary64`
219×	`fma-neg_binary64`

Counts

271 → 486

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	4481
1	431	4207
2	1816	3971
3	4768	3971
4	4998	3971
5	4915	3971

prune71.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	486	0	486
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	486	2	488

Error

Counts

488 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	27.1b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (+.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 5694 to 759 computations (86.7% saved)

regimes104.0ms (3.9%)

Accuracy

Total 0.0b remaining (5.9%)

Threshold costs 0.0b (5.9%)

Compiler

Compiled 2008 to 1032 computations (48.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`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	15	10
2	25	10
3	31	10
4	35	10
5	36	10
6	36	10

end29.0ms (1.1%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 55 to 35 computations (36.4% saved)

sample645.0ms (24.5%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	128	valid
40.0ms	1367×	body	128	invalid

Compiler

Compiled 65 to 37 computations (43.1% 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

analyze1.0s (39.2%)

sample35.0ms (1.3%)

simplify21.0ms (0.8%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite4.0ms (0.1%)

series27.0ms (1%)

simplify133.0ms (5%)

prune17.0ms (0.6%)

localize10.0ms (0.4%)

rewrite34.0ms (1.3%)

series274.0ms (10.4%)

simplify189.0ms (7.2%)

prune71.0ms (2.7%)

regimes104.0ms (3.9%)

simplify4.0ms (0.1%)

end29.0ms (1.1%)

sample645.0ms (24.5%)

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