Details

analyze1.7s (31.5%)

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
6.2%	93.6%	0.2%	8
6.2%	93.6%	0.2%	9
10.1%	89.7%	0.2%	10
32%	67.8%	0.2%	11
39.4%	60.4%	0.2%	12
40.2%	59.6%	0.2%	13
47.5%	52.3%	0.2%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.5s (27.6%)

Results

1.2s	8028×	body	128	valid
78.0ms	545×	body	128	invalid
49.0ms	84×	body	1024	valid
30.0ms	91×	body	512	valid
13.0ms	53×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify40.0ms (0.8%)

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

8.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	8.0b	(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 (0.2%)

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))
✓	7.5b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

series573.0ms (10.9%)

Counts

4 → 132

Calls

4 calls:

277.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
162.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
73.0ms	(tanh.f64 (/.f64 t y))
61.0ms	(tanh.f64 (/.f64 x y))

rewrite13.0ms (0.2%)

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:

6.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
1.0ms	(tanh.f64 (/.f64 t y))
1.0ms	(tanh.f64 (/.f64 x y))
0.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

simplify188.0ms (3.6%)

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

prune142.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	171	3	174

Error

Counts

174 → 3

Alt Table

Status	Error	Program
	26.0b	(-.f64 (fma.f64 z t x) (*.f64 x z))
▶	8.0b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y))))) x)
✓	8.0b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

Compiler

Compiled 6645 to 2124 computations (68% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 (/.f64 t y))
	0.0b	(tanh.f64 (/.f64 x y))
✓	5.3b	(-.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y)))))
✓	7.5b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y))))) x)

series459.0ms (8.7%)

Counts

2 → 84

Calls

2 calls:

286.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y))))) x)
172.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y)))))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 41

Calls

2 calls:

4.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y)))))
0.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y))))) x)

simplify144.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-def_binary64`
646×	`times-frac_binary64`
348×	`cancel-sign-sub-inv_binary64`
315×	`sub-neg_binary64`
161×	`fma-neg_binary64`

Counts

125 → 124

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	9021
1	720	6981
2	2534	6217
3	5109	6217

prune115.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	169	3	172

Error

Counts

172 → 3

Alt Table

Status	Error	Program
▶	26.0b	(-.f64 (fma.f64 z t x) (*.f64 x z))
✓	8.0b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y))))) x)
✓	8.0b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

Compiler

Compiled 5986 to 1838 computations (69.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (fma.f64 z t x) (*.f64 x z))

series7.0ms (0.1%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(-.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:

4.0ms

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

simplify78.0ms (1.5%)

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 (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Error

Counts

45 → 3

Alt Table

Status	Error	Program
✓	26.0b	(-.f64 (fma.f64 z t x) (*.f64 x z))
✓	8.0b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (expm1.f64 (log1p.f64 (tanh.f64 (/.f64 x y))))) x)
✓	8.0b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

Compiler

Compiled 603 to 156 computations (74.1% saved)

regimes243.0ms (4.6%)

Accuracy

Total 0.7b remaining (74.7%)

Threshold costs 0.7b (74.7%)

Counts

27 → 3

Compiler

Compiled 2848 to 1556 computations (45.4% saved)

bsearch1.0ms (0%)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	94
1	43	94
2	59	94
3	69	94
4	75	94
5	76	94
6	76	94

end73.0ms (1.4%)

Compiler: Compiled 180 to 83 computations (53.9% saved)

Details

analyze1.7s (31.5%)

sample1.5s (27.6%)

simplify40.0ms (0.8%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series573.0ms (10.9%)

rewrite13.0ms (0.2%)

simplify188.0ms (3.6%)

prune142.0ms (2.7%)

localize13.0ms (0.2%)

series459.0ms (8.7%)

rewrite7.0ms (0.1%)

simplify144.0ms (2.7%)

prune115.0ms (2.2%)

localize5.0ms (0.1%)

series7.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify78.0ms (1.5%)

prune20.0ms (0.4%)

regimes243.0ms (4.6%)

bsearch1.0ms (0%)

simplify5.0ms (0.1%)

end73.0ms (1.4%)

Profiling