Details

analyze1.1s (16.3%)

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)

sample1.9s (26.8%)

Results

1.4s	8010×	body	128	valid
336.0ms	626×	body	128	invalid
37.0ms	108×	body	512	valid
35.0ms	82×	body	1024	valid
12.0ms	54×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify46.0ms (0.7%)

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%)

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

5.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	5.4b	(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	(tanh.f64 (/.f64 t y))
✓	0.0b	(tanh.f64 (/.f64 x y))
✓	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	5.2b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

series535.0ms (7.7%)

Counts

4 → 132

Calls

4 calls:

235.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
182.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
59.0ms	(tanh.f64 (/.f64 t y))
58.0ms	(tanh.f64 (/.f64 x y))

rewrite14.0ms (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:

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)

simplify174.0ms (2.5%)

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

prune161.0ms (2.3%)

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
✓	5.4b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
▶	26.6b	(-.f64 (fma.f64 z t x) (*.f64 x z))

Compiler

Compiled 6605 to 2099 computations (68.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (fma.f64 z t x) (*.f64 x z))

series8.0ms (0.1%)

Counts

1 → 36

Calls

1 calls:

8.0ms

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

rewrite3.0ms (0%)

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))

simplify74.0ms (1.1%)

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 (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Status	Error	Program
▶	27.2b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 z t x)) (cbrt.f64 (fma.f64 z t x))) (cbrt.f64 (fma.f64 z t x)) (neg.f64 (.f64 x z)))
✓	5.4b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
✓	26.6b	(-.f64 (fma.f64 z t x) (*.f64 x z))

Compiler

Compiled 633 to 163 computations (74.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 z t x)) (cbrt.f64 (fma.f64 z t x))) (cbrt.f64 (fma.f64 z t x)) (neg.f64 (.f64 x z)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 z t x)) (cbrt.f64 (fma.f64 z t x)))
✓	3.7b	(cbrt.f64 (fma.f64 z t x))

series2.0s (28.4%)

Counts

3 → 108

Calls

3 calls:

1.9s

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

52.0ms

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

44.0ms

(cbrt.f64 (fma.f64 z t x))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

3 → 65

Calls

3 calls:

4.0ms

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

1.0ms

(cbrt.f64 (fma.f64 z t x))

0.0ms

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

simplify427.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

318×	`associate-r_binary64`
307×	`unswap-sqr_binary64`
291×	`times-frac_binary64`
261×	`associate-/r*_binary64`
243×	`fma-neg_binary64`

Counts

173 → 225

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	6510
1	1193	5973
2	3930	5686
3	4991	5686

prune229.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	375	0	375
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	375	3	378

Error

Counts

378 → 3

Alt Table

Status	Error	Program
✓	27.2b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 z t x)) (cbrt.f64 (fma.f64 z t x))) (cbrt.f64 (fma.f64 z t x)) (neg.f64 (.f64 x z)))
✓	5.4b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
✓	26.6b	(-.f64 (fma.f64 z t x) (*.f64 x z))

Compiler

Compiled 15249 to 6012 computations (60.6% saved)

regimes189.0ms (2.7%)

Accuracy

Total 2.7b remaining (93.8%)

Threshold costs 0b (0%)

Counts

30 → 2

Compiler

Compiled 2903 to 1581 computations (45.5% saved)

bsearch1.0ms (0%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	60
1	32	60
2	45	60
3	53	60
4	58	60
5	59	60
6	59	60

end65.0ms (0.9%)

Compiler: Compiled 143 to 66 computations (53.8% saved)

Details

analyze1.1s (16.3%)

sample1.9s (26.8%)

simplify46.0ms (0.7%)

prune3.0ms (0%)

localize11.0ms (0.2%)

series535.0ms (7.7%)

rewrite14.0ms (0.2%)

simplify174.0ms (2.5%)

prune161.0ms (2.3%)

localize5.0ms (0.1%)

series8.0ms (0.1%)

rewrite3.0ms (0%)

simplify74.0ms (1.1%)

prune20.0ms (0.3%)

localize11.0ms (0.2%)

series2.0s (28.4%)

rewrite9.0ms (0.1%)

simplify427.0ms (6.1%)

prune229.0ms (3.3%)

regimes189.0ms (2.7%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end65.0ms (0.9%)

Profiling