Details

analyze1.2s (31%)

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
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample64.0ms (1.7%)

Algorithm

1×

intervals

Results

15.0ms	246×	body	128	valid
2.0ms	4×	body	512	valid
1.0ms	16×	body	128	invalid
0.0ms	4×	body	256	valid
0.0ms	2×	body	1024	valid

Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify122.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

509×	`fma-neg_binary64`
396×	`distribute-rgt-in_binary64`
366×	`distribute-lft-in_binary64`
289×	`fma-def_binary64`
260×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	55	21
2	153	21
3	362	21
4	1315	21
5	4639	21
6	5067	21

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

3.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	3.3b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

Compiler

Compiled 69 to 35 computations (49.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 (/.f64 t y))
✓	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	0.0b	(tanh.f64 (/.f64 x y))
✓	3.2b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

series819.0ms (21.6%)

Counts

4 → 132

Calls

4 calls:

463.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
168.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
129.0ms	(tanh.f64 (/.f64 x y))
59.0ms	(tanh.f64 (/.f64 t y))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
9×	`frac-sub_binary64`
9×	`prod-diff_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
1.0ms	(tanh.f64 (/.f64 x y))
1.0ms	(tanh.f64 (/.f64 t y))
0.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

simplify183.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
231×	`fma-neg_binary64`
202×	`fma-def_binary64`
174×	`distribute-rgt-in_binary64`
173×	`distribute-lft-in_binary64`

Counts

205 → 173

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	330	12435
1	1006	7805
2	3497	7805
3	5159	7805

prune109.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	172	2	174

Error

0.0b

Counts

174 → 2

Alt Table

Status	Error	Program
✓	3.3b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
▶	28.3b	(-.f64 (fma.f64 z t x) (*.f64 x z))

Compiler

Compiled 6605 to 2098 computations (68.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (fma.f64 z t x) (*.f64 x z))

series8.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

8.0ms

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
3×	`fma-neg_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`prod-diff_binary64`

Counts

1 → 21

Calls

1 calls:

3.0ms

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

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Rules

625×	`fma-neg_binary64`
539×	`associate-+l+_binary64`
512×	`associate-+r+_binary64`
301×	`*-commutative_binary64`
241×	`neg-sub0_binary64`

Counts

57 → 42

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	695
1	142	615
2	415	596
3	1618	595
4	3553	508
5	4678	508
6	4933	508

prune20.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

0.0b

Counts

44 → 2

Alt Table

Status	Error	Program
✓	3.3b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
✓	28.3b	(-.f64 (fma.f64 z t x) (*.f64 x z))

Compiler

Compiled 583 to 143 computations (75.5% saved)

regimes180.0ms (4.8%)

Accuracy

Total 0.6b remaining (71.7%)

Threshold costs 0.6b (71.7%)

Counts

20 → 3

Compiler

Compiled 1968 to 1081 computations (45.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	92
1	32	92
2	40	92
3	44	92
4	46	92
5	46	92

end1.0ms (0%)

Compiler: Compiled 65 to 22 computations (66.2% saved)

sample985.0ms (26%)

Algorithm

1×

intervals

Results

534.0ms	7757×	body	128	valid
34.0ms	548×	body	128	invalid
22.0ms	84×	body	1024	valid
18.0ms	101×	body	512	valid
7.0ms	58×	body	256	valid

Compiler

Compiled 119 to 57 computations (52.1% saved)

Details

analyze1.2s (31%)

sample64.0ms (1.7%)

simplify122.0ms (3.2%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

series819.0ms (21.6%)

rewrite13.0ms (0.4%)

simplify183.0ms (4.8%)

prune109.0ms (2.9%)

localize5.0ms (0.1%)

series8.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify77.0ms (2%)

prune20.0ms (0.5%)

regimes180.0ms (4.8%)

bsearch1.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample985.0ms (26%)

Profiling