Details

analyze286.0ms (1.3%)

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
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
74.9%	25%	0.2%	7
74.9%	25%	0.2%	8
74.9%	25%	0.2%	9
74.9%	25%	0.2%	10
87.3%	12.5%	0.2%	11
87.3%	12.5%	0.2%	12
87.3%	12.5%	0.2%	13
87.3%	12.5%	0.2%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample2.2s (9.9%)

Results

2.0s	8038×	body	128	valid
39.0ms	78×	body	1024	valid
31.0ms	82×	body	512	valid
16.0ms	58×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify62.0ms (0.3%)

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

prune5.0ms (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

4.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	4.6b	(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)

localize20.0ms (0.1%)

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 x y))
✓	0.0b	(tanh.f64 (/.f64 t y))
✓	4.5b	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

series979.0ms (4.4%)

Counts

4 → 132

Calls

4 calls:

402.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
322.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
130.0ms	(tanh.f64 (/.f64 t y))
124.0ms	(tanh.f64 (/.f64 x y))

rewrite26.0ms (0.1%)

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:

12.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
3.0ms	(tanh.f64 (/.f64 t y))
3.0ms	(tanh.f64 (/.f64 x y))
1.0ms	(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

simplify329.0ms (1.5%)

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 → 172

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	330	11824
1	1006	7805
2	3495	7805
3	5159	7805

prune271.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	169	3	172
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	3	173

Error

Counts

173 → 3

Alt Table

Status	Error	Program
	28.8b	(fma.f64 (*.f64 y z) (exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)
▶	14.2b	(fma.f64 (*.f64 y z) (log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))) x)
	26.2b	(-.f64 (fma.f64 z t x) (*.f64 x z))

Compiler

Compiled 6646 to 2137 computations (67.8% saved)

localize79.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 (/.f64 t y))
✓	0.1b	(/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))
✓	1.3b	(log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y)))))
✓	6.9b	(fma.f64 (*.f64 y z) (log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))) x)

series9.6s (43.5%)

Counts

3 → 120

Calls

3 calls:

5.3s

(log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y)))))

3.7s

(fma.f64 (*.f64 y z) (log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))) x)

561.0ms

(/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
18×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
13×	`log-prod_binary64`

Counts

3 → 67

Calls

3 calls:

15.0ms

(/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))

6.0ms

(log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y)))))

1.0ms

(fma.f64 (*.f64 y z) (log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))) x)

simplify312.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
320×	`sub-neg_binary64`
280×	`cancel-sign-sub-inv_binary64`
200×	`fma-neg_binary64`
158×	`+-commutative_binary64`

Counts

187 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	5400
1	855	5074
2	2839	4903
3	4882	4903
4	4968	4903

prune255.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	204	3	207

Error

Counts

207 → 3

Alt Table

Status	Error	Program
	28.8b	(fma.f64 (*.f64 y z) (exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)
✓	14.2b	(fma.f64 (*.f64 y z) (log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))) x)
▶	26.2b	(-.f64 (fma.f64 z t x) (*.f64 x z))

Compiler

Compiled 6566 to 2042 computations (68.9% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 (fma.f64 z t x) (*.f64 x z))

series17.0ms (0.1%)

Counts

1 → 36

Calls

1 calls:

17.0ms

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

rewrite8.0ms (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:

6.0ms

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

simplify115.0ms (0.5%)

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

prune28.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

45 → 3

Alt Table

Status	Error	Program
▶	28.8b	(fma.f64 (*.f64 y z) (exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)
✓	14.2b	(fma.f64 (*.f64 y z) (log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))) x)
✓	26.2b	(-.f64 (fma.f64 z t x) (*.f64 x z))

Compiler

Compiled 626 to 172 computations (72.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 (/.f64 t y))
✓	0.7b	(exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
✓	2.4b	(fma.f64 (*.f64 y z) (exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)
✓	4.6b	(log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series6.3s (28.3%)

Counts

3 → 120

Calls

3 calls:

5.7s

(log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

309.0ms

(fma.f64 (*.f64 y z) (exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)

203.0ms

(exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-div_binary64`
18×	`frac-sub_binary64`
12×	`tanh-def-a_binary64`
12×	`tanh-def-b_binary64`
12×	`tanh-def-c_binary64`

Counts

3 → 67

Calls

3 calls:

9.0ms

(log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

6.0ms

(exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

0.0ms

(fma.f64 (*.f64 y z) (exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)

simplify307.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

441×	`times-frac_binary64`
372×	`fma-def_binary64`
357×	`associate-/r*_binary64`
320×	`associate-/l*_binary64`
192×	`distribute-rgt-in_binary64`

Counts

187 → 200

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	568	15504
1	1766	13638
2	5048	13638

prune243.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	223	3	226

Error

Counts

226 → 3

Alt Table

Status	Error	Program
✓	28.8b	(fma.f64 (*.f64 y z) (exp.f64 (log.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x)
✓	14.2b	(fma.f64 (*.f64 y z) (log.f64 (/.f64 (exp.f64 (tanh.f64 (/.f64 t y))) (exp.f64 (tanh.f64 (/.f64 x y))))) x)
✓	26.2b	(-.f64 (fma.f64 z t x) (*.f64 x z))

Compiler

Compiled 11270 to 4288 computations (62% saved)

regimes542.0ms (2.4%)

Accuracy

Total 2.8b remaining (90.8%)

Threshold costs 0b (0%)

Counts

67 → 3

Compiler

Compiled 6788 to 3936 computations (42% saved)

bsearch21.0ms (0.1%)

Steps

Iters	Range		Point
2	8.179481221947891e-266	4.629201980077396e-257	1.2596353575889675e-263
7	-9.056087725866256e-29	-1.8395876795379396e-30	-2.2211093071045775e-30

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`unsub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	70
1	32	70
2	34	70
3	35	70
4	35	70

end75.0ms (0.3%)

Compiler: Compiled 155 to 78 computations (49.7% saved)

Details

analyze286.0ms (1.3%)

sample2.2s (9.9%)

simplify62.0ms (0.3%)

prune5.0ms (0%)

localize20.0ms (0.1%)

series979.0ms (4.4%)

rewrite26.0ms (0.1%)

simplify329.0ms (1.5%)

prune271.0ms (1.2%)

localize79.0ms (0.4%)

series9.6s (43.5%)

rewrite32.0ms (0.1%)

simplify312.0ms (1.4%)

prune255.0ms (1.1%)

localize10.0ms (0%)

series17.0ms (0.1%)

rewrite8.0ms (0%)

simplify115.0ms (0.5%)

prune28.0ms (0.1%)

localize14.0ms (0.1%)

series6.3s (28.3%)

rewrite22.0ms (0.1%)

simplify307.0ms (1.4%)

prune243.0ms (1.1%)

regimes542.0ms (2.4%)

bsearch21.0ms (0.1%)

simplify4.0ms (0%)

end75.0ms (0.3%)

Profiling