Details

analyze1.8s (41.1%)

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)

sample65.0ms (1.4%)

Algorithm

1×

intervals

Results

17.0ms	250×	body	128	valid
1.0ms	14×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	3×	body	256	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify39.0ms (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

4.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	4.3b	(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)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 (/.f64 x y))
✓	0.0b	(tanh.f64 (/.f64 t y))
✓	4.1b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

series365.0ms (8.1%)

Counts

3 → 96

Calls

3 calls:

239.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
67.0ms	(tanh.f64 (/.f64 x y))
58.0ms	(tanh.f64 (/.f64 t y))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
3×	`add-cbrt-cube_binary64`
3×	`add-exp-log_binary64`

Counts

3 → 34

Calls

3 calls:

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)

simplify177.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

666×	`times-frac_binary64`
501×	`fma-neg_binary64`
469×	`fma-def_binary64`
285×	`cancel-sign-sub-inv_binary64`
217×	`sub-neg_binary64`

Counts

130 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	6111
1	577	5584
2	1902	4863
3	4810	4863
4	5177	4863

prune61.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	3	92

Error

Counts

92 → 3

Alt Table

Status	Error	Program
	26.6b	(-.f64 (+.f64 (.f64 t z) x) (.f64 z x))
✓	4.3b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
▶	7.1b	(fma.f64 (*.f64 y z) (-.f64 (cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3)) (tanh.f64 (/.f64 x y))) x)

Compiler

Compiled 3085 to 1079 computations (65% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 (/.f64 t y))
✓	0.1b	(pow.f64 (tanh.f64 (/.f64 t y)) 3)
✓	4.1b	(fma.f64 (*.f64 y z) (-.f64 (cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3)) (tanh.f64 (/.f64 x y))) x)
✓	13.7b	(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3))

series381.0ms (8.5%)

Counts

3 → 96

Calls

3 calls:

227.0ms	(fma.f64 (*.f64 y z) (-.f64 (cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3)) (tanh.f64 (/.f64 x y))) x)
95.0ms	(pow.f64 (tanh.f64 (/.f64 t y)) 3)
59.0ms	(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cube-prod_binary64`

Counts

3 → 64

Calls

3 calls:

2.0ms	(cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3))
2.0ms	(pow.f64 (tanh.f64 (/.f64 t y)) 3)
0.0ms	(fma.f64 (*.f64 y z) (-.f64 (cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3)) (tanh.f64 (/.f64 x y))) x)

simplify159.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

620×	`times-frac_binary64`
536×	`fma-def_binary64`
294×	`fma-neg_binary64`
265×	`cancel-sign-sub-inv_binary64`
221×	`unswap-sqr_binary64`

Counts

160 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	7079
1	654	6152
2	2171	5518
3	4825	5518
4	4938	5518

prune106.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	156	3	159

Error

Counts

159 → 3

Alt Table

Status	Error	Program
✓	4.3b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
✓	7.1b	(fma.f64 (*.f64 y z) (-.f64 (cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3)) (tanh.f64 (/.f64 x y))) x)
▶	26.6b	(-.f64 (fma.f64 t z x) (*.f64 x z))

Compiler

Compiled 4912 to 1867 computations (62% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (fma.f64 t z x) (*.f64 x z))

series8.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

57 → 43

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	695
1	141	615
2	415	596
3	1618	595
4	3553	508
5	4678	508
6	4933	508

prune22.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	43	3	46

Error

Counts

46 → 3

Alt Table

Status	Error	Program
✓	4.3b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
✓	7.1b	(fma.f64 (*.f64 y z) (-.f64 (cbrt.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3)) (tanh.f64 (/.f64 x y))) x)
✓	26.6b	(-.f64 (fma.f64 t z x) (*.f64 x z))

Compiler

Compiled 607 to 157 computations (74.1% saved)

regimes194.0ms (4.3%)

Accuracy

Total 0.6b remaining (73.9%)

Threshold costs 0.6b (73.9%)

Counts

23 → 3

Compiler

Compiled 2173 to 1231 computations (43.4% 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`
9×	`*-commutative_binary64`
7×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	97
1	43	97
2	58	97
3	66	97
4	70	97
5	70	97

end1.0ms (0%)

Compiler: Compiled 68 to 25 computations (63.2% saved)

sample935.0ms (20.9%)

Algorithm

1×

intervals

Results

480.0ms	7796×	body	128	valid
40.0ms	563×	body	128	invalid
24.0ms	82×	body	1024	valid
20.0ms	70×	body	512	valid
6.0ms	51×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 143 to 74 computations (48.3% saved)

Details

analyze1.8s (41.1%)

sample65.0ms (1.4%)

simplify39.0ms (0.9%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series365.0ms (8.1%)

rewrite4.0ms (0.1%)

simplify177.0ms (3.9%)

prune61.0ms (1.4%)

localize14.0ms (0.3%)

series381.0ms (8.5%)

rewrite8.0ms (0.2%)

simplify159.0ms (3.6%)

prune106.0ms (2.4%)

localize5.0ms (0.1%)

series8.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify74.0ms (1.7%)

prune22.0ms (0.5%)

regimes194.0ms (4.3%)

bsearch1.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample935.0ms (20.9%)

Profiling