Details

analyze1.2s (26.8%)

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)

sample2.0s (45.4%)

Results

1.8s	8046×	body	128	valid
84.0ms	595×	body	128	invalid
39.0ms	83×	body	1024	valid
22.0ms	69×	body	512	valid
13.0ms	57×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify40.0ms (0.9%)

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

3.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	3.8b	(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)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	0.0b	(tanh.f64 (/.f64 t y))
✓	0.0b	(tanh.f64 (/.f64 x y))
✓	3.7b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

series508.0ms (11.7%)

Counts

4 → 132

Calls

4 calls:

231.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
159.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
63.0ms	(tanh.f64 (/.f64 x y))
54.0ms	(tanh.f64 (/.f64 t y))

rewrite11.0ms (0.3%)

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:

5.0ms	(-.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)

simplify173.0ms (4%)

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	11824
1	1006	7805
2	3495	7805
3	5159	7805

prune113.0ms (2.6%)

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

0.0b

Counts

174 → 3

Alt Table

Status	Error	Program
	28.8b	(-.f64 (fma.f64 z t x) (*.f64 x z))
▶	23.2b	x
✓	3.8b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

Compiler

Compiled 6620 to 2105 computations (68.2% saved)

localize1.0ms (0%)

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Status	Error	Program
▶	28.8b	(-.f64 (fma.f64 z t x) (*.f64 x z))
✓	23.2b	x
✓	3.8b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

Compiler

Compiled 47 to 29 computations (38.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (fma.f64 z t x) (*.f64 x z))

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite3.0ms (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:

2.0ms

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

simplify75.0ms (1.7%)

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

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

0.0b

Counts

45 → 3

Alt Table

Status	Error	Program
✓	28.8b	(-.f64 (fma.f64 z t x) (*.f64 x z))
✓	23.2b	x
✓	3.8b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

Compiler

Compiled 588 to 147 computations (75% saved)

regimes127.0ms (2.9%)

Accuracy

Total 2.5b remaining (98.3%)

Threshold costs 0b (0%)

Counts

19 → 3

Compiler

Compiled 1903 to 1041 computations (45.3% saved)

bsearch50.0ms (1.1%)

Steps

Iters	Range		Point
8	5.487899988249134e+132	3.6544471657693994e+135	1.0568740699100138e+135
9	-2.895798851946506e+170	-1.4004672763411062e+163	-7.414154157345965e+168

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	49
1	26	49
2	34	49
3	38	49
4	40	49
5	40	49

end59.0ms (1.4%)

Compiler: Compiled 111 to 60 computations (45.9% saved)

Details

analyze1.2s (26.8%)

sample2.0s (45.4%)

simplify40.0ms (0.9%)

prune3.0ms (0.1%)

localize11.0ms (0.2%)

series508.0ms (11.7%)

rewrite11.0ms (0.3%)

simplify173.0ms (4%)

prune113.0ms (2.6%)

localize1.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite3.0ms (0.1%)

simplify75.0ms (1.7%)

prune20.0ms (0.5%)

regimes127.0ms (2.9%)

bsearch50.0ms (1.1%)

simplify3.0ms (0.1%)

end59.0ms (1.4%)

Profiling