Details

analyze404.0ms (10.7%)

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	85.8%	0.2%	11
21.1%	78.8%	0.2%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.5s (38.5%)

Results

1.3s	8254×	body	256	valid
174.0ms	1128×	body	256	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

preprocess100.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

1709×	`fma-neg_binary64`
492×	`fma-def_binary64`
250×	`cancel-sign-sub-inv_binary64`
248×	`unsub-neg_binary64`
239×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	112
1	101	112
2	218	105
3	474	98
4	1168	84
5	2534	84
6	4526	84
7	4819	84
8	4867	84
9	4867	84
10	5855	84
11	5855	84
12	5855	84
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
1
3

Call 2

Inputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) y) (/.f64 (.f64 x z) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) z) (/.f64 (.f64 y x) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) t) (/.f64 (.f64 y z) 2)) x)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 z y) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 t z) 2)) y)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y t) 2)) z)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
(-.f64 (.f64 1/8 x) (-.f64 (/.f64 (.f64 y z) 2) t))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 y (/.f64 z 2)) t))
(fma.f64 1/8 x (fma.f64 (/.f64 (neg.f64 y) 2) z t))
(fma.f64 z (*.f64 -1/2 y) (fma.f64 1/8 x t))
(fma.f64 z (*.f64 y -1/2) (fma.f64 1/8 x t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) y) (/.f64 (.f64 x z) 2)) t)
(+.f64 t (-.f64 (*.f64 1/8 y) (/.f64 x (/.f64 2 z))))
(+.f64 t (-.f64 (.f64 1/8 y) (.f64 (/.f64 x 2) z)))
(fma.f64 1/8 y (fma.f64 -1 (*.f64 z (/.f64 x 2)) t))
(fma.f64 (/.f64 (neg.f64 x) 2) z (fma.f64 1/8 y t))
(fma.f64 1/8 y (fma.f64 z (*.f64 -1/2 x) t))
(fma.f64 1/8 y (fma.f64 -1/2 (*.f64 x z) t))
(fma.f64 1/8 y (fma.f64 (*.f64 x z) -1/2 t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) z) (/.f64 (.f64 y x) 2)) t)
(+.f64 t (-.f64 (*.f64 1/8 z) (/.f64 y (/.f64 2 x))))
(+.f64 t (-.f64 (.f64 1/8 z) (.f64 (/.f64 y 2) x)))
(fma.f64 1/8 z (fma.f64 -1 (*.f64 x (/.f64 y 2)) t))
(fma.f64 (/.f64 (neg.f64 y) 2) x (fma.f64 1/8 z t))
(fma.f64 x (*.f64 -1/2 y) (fma.f64 1/8 z t))
(fma.f64 x (*.f64 y -1/2) (fma.f64 1/8 z t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) t) (/.f64 (.f64 y z) 2)) x)
(+.f64 x (-.f64 (.f64 1/8 t) (/.f64 (.f64 y z) 2)))
(fma.f64 1/8 t (fma.f64 -1 (*.f64 y (/.f64 z 2)) x))
(-.f64 (fma.f64 1/8 t x) (*.f64 y (/.f64 z 2)))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 t x))
(fma.f64 1/8 t (fma.f64 -1/2 (*.f64 y z) x))
(fma.f64 1/8 t (fma.f64 (*.f64 y z) -1/2 x))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 z y) 2)) t)
(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
(-.f64 (.f64 1/8 x) (-.f64 (/.f64 (.f64 y z) 2) t))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 y (/.f64 z 2)) t))
(fma.f64 1/8 x (fma.f64 (/.f64 (neg.f64 y) 2) z t))
(fma.f64 z (*.f64 -1/2 y) (fma.f64 1/8 x t))
(fma.f64 z (*.f64 y -1/2) (fma.f64 1/8 x t))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 t z) 2)) y)
(+.f64 y (-.f64 (*.f64 1/8 x) (/.f64 t (/.f64 2 z))))
(+.f64 y (-.f64 (.f64 1/8 x) (.f64 (/.f64 t 2) z)))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 z (/.f64 t 2)) y))
(-.f64 (fma.f64 1/8 x y) (*.f64 z (/.f64 t 2)))
(fma.f64 1/8 x (fma.f64 z (*.f64 -1/2 t) y))
(fma.f64 1/8 x (fma.f64 z (*.f64 t -1/2) y))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y t) 2)) z)
(+.f64 z (-.f64 (.f64 1/8 x) (/.f64 (.f64 y t) 2)))
(+.f64 z (-.f64 (*.f64 1/8 x) (/.f64 t (/.f64 2 y))))
(fma.f64 1/8 x (fma.f64 -1 (*.f64 t (/.f64 y 2)) z))
(-.f64 (fma.f64 1/8 x z) (*.f64 y (/.f64 t 2)))
(fma.f64 1/8 x (fma.f64 t (*.f64 -1/2 y) z))
(fma.f64 1/8 x (fma.f64 y (*.f64 t -1/2) z))

Symmetry

(sort y z)

Compiler

Compiled 21 to 17 computations (19% saved)

simplify23.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

382×	`fma-def_binary64`
322×	`fma-neg_binary64`
114×	`cancel-sign-sub-inv_binary64`
53×	`unsub-neg_binary64`
52×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	51	15
3	103	14
4	236	12
5	455	12
6	727	12
7	1062	12
8	1535	12
9	1633	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (fma.f64 1/8 x (neg.f64 (/.f64 y (/.f64 2 z)))) t)
(+.f64 (fma.f64 1/8 x (/.f64 (neg.f64 y) (/.f64 2 z))) t)
(fma.f64 1/8 x (fma.f64 -1 (*.f64 z (/.f64 y 2)) t))
(-.f64 (fma.f64 1/8 x t) (*.f64 z (/.f64 y 2)))
(fma.f64 1/8 x (fma.f64 (/.f64 z -2) y t))
(fma.f64 1/8 x (fma.f64 y (*.f64 -1/2 z) t))
(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))

eval1.0ms (0%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
▶	0.0b	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))
✓	0.0b	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))

Compiler

Compiled 28 to 16 computations (42.9% saved)

series8.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))
1.0ms	y	@	0	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))
1.0ms	z	@	-inf	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))
1.0ms	x	@	inf	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))
1.0ms	z	@	inf	(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	200	12
2	2239	12

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (.f64 z -1/2) t) (.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/8 x) (fma.f64 y (.f64 z -1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/8 x) 1) (fma.f64 y (.f64 z -1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/8 x) (.f64 y (.f64 z -1/2))) t)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))) (pow.f64 (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))) 2) (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))) (sqrt.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/8 x) 3) (pow.f64 (fma.f64 y (.f64 z -1/2) t) 3)) (+.f64 (.f64 (.f64 1/8 x) (.f64 1/8 x)) (-.f64 (pow.f64 (fma.f64 y (.f64 z -1/2) t) 2) (.f64 (.f64 1/8 x) (fma.f64 y (.f64 z -1/2) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/8 x) (.f64 1/8 x)) (pow.f64 (fma.f64 y (.f64 z -1/2) t) 2)) (-.f64 (.f64 1/8 x) (fma.f64 y (.f64 z -1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/8 x (fma.f64 y (.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (*.f64 z -1/2) t) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 x) (fma.f64 y (*.f64 z -1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/8 x) 1) (fma.f64 y (*.f64 z -1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/8 x) (*.f64 y (*.f64 z -1/2))) t)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))) (pow.f64 (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))) 2) (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))) (sqrt.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/8 x) 3) (pow.f64 (fma.f64 y (*.f64 z -1/2) t) 3)) (+.f64 (*.f64 (*.f64 1/8 x) (*.f64 1/8 x)) (-.f64 (pow.f64 (fma.f64 y (*.f64 z -1/2) t) 2) (*.f64 (*.f64 1/8 x) (fma.f64 y (*.f64 z -1/2) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/8 x) (*.f64 1/8 x)) (pow.f64 (fma.f64 y (*.f64 z -1/2) t) 2)) (-.f64 (*.f64 1/8 x) (fma.f64 y (*.f64 z -1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/8 x (fma.f64 y (*.f64 z -1/2) t))))))))

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	499
1	28	499
2	47	499
3	63	499

Stop Event

1×

saturated

Counts

70 → 34

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
t
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
t
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))

Outputs
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 -1/2 (*.f64 y z) t)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 y (*.f64 -1/2 z) t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (*.f64 1/8 x) t)
(fma.f64 1/8 x t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 z (.f64 -1/2 y))
(.f64 y (.f64 -1/2 z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 z (.f64 -1/2 y))
(.f64 y (.f64 -1/2 z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (*.f64 1/8 x) t)
(fma.f64 1/8 x t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 z (.f64 -1/2 y))
(.f64 y (.f64 -1/2 z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 z (.f64 -1/2 y))
(.f64 y (.f64 -1/2 z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
t
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
t
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 -1/2 y) z (fma.f64 1/8 x t))
(fma.f64 y (*.f64 -1/2 z) (fma.f64 1/8 x t))

localize19.0ms (0.5%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 y z) 2)
	0.0b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
	0.0b	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
✓	0.0b	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
✓	0.0b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
✓	0.0b	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 51 to 32 computations (37.3% saved)

series14.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (*.f64 y z) 2)
2.0ms	y	@	-inf	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
1.0ms	z	@	inf	(/.f64 (*.f64 y z) 2)
1.0ms	z	@	0	(/.f64 (*.f64 y z) 2)
1.0ms	y	@	inf	(/.f64 (*.f64 y z) 2)

rewrite100.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log-prod_binary64`
573×	`fma-def_binary64`
321×	`fma-neg_binary64`
261×	`pow1/3_binary64`
258×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	304	32
2	3983	30

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) 2)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))

Outputs
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Outputs

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simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Rules

494×	`fma-def_binary64`
310×	`fma-neg_binary64`
116×	`cancel-sign-sub-inv_binary64`
53×	`distribute-rgt-neg-in_binary64`
49×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	1017
1	41	1017
2	89	1015
3	192	1015
4	289	1015
5	433	1015
6	692	1015
7	938	1015
8	1165	1015
9	1553	1015
10	1574	1015

Stop Event

1×

saturated

Counts

334 → 241

Calls

Call 1

Inputs
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(-.f64 t (.f64 1/2 (.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(*.f64 1/8 x)
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(*.f64 1/8 x)
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
t
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
t
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))

Outputs
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(.f64 1/2 (.f64 y z))
(.f64 (.f64 1/2 y) z)
(-.f64 t (.f64 1/2 (.f64 y z)))
(+.f64 t (.f64 (.f64 -1/2 y) z))
(+.f64 t (.f64 y (.f64 z -1/2)))
(fma.f64 y (*.f64 z -1/2) t)
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(*.f64 1/8 x)
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(*.f64 1/8 x)
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (*.f64 1/8 x) t)
(fma.f64 1/8 x t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 y (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 y (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (*.f64 1/8 x) t)
(fma.f64 1/8 x t)
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 y (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 y (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(+.f64 (.f64 -1/2 (.f64 y z)) (+.f64 (*.f64 1/8 x) t))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
t
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
t
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(-.f64 (+.f64 (.f64 1/8 x) t) (.f64 1/2 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y z) (fma.f64 1/8 x t))
(fma.f64 (*.f64 y z) -1/2 (fma.f64 1/8 x t))
(fma.f64 y (*.f64 z -1/2) (fma.f64 1/8 x t))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 y (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 y (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 y (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 y (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(.f64 y (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(fma.f64 (.f64 y z) -1/2 (.f64 1/8 x))
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))

eval120.0ms (3.2%)

Compiler: Compiled 5191 to 3142 computations (39.5% saved)

prune53.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	267	8	275
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	269	8	277

Error

Counts

277 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.5b	(+.f64 (*.f64 1/8 x) t)
▶	39.1b	(*.f64 1/8 x)
	24.5b	(fma.f64 y (*.f64 -1/2 z) t)
▶	24.5b	(+.f64 (.f64 -1/2 (.f64 y z)) t)
	25.1b	(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
▶	25.1b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
▶	48.9b	(.f64 -1/2 (.f64 y z))
	38.4b	t

Compiler

Compiled 147 to 112 computations (23.8% saved)

localize8.0ms (0.2%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 -1/2 (.f64 y z))
✓	0.0b	(.f64 -1/2 (.f64 y z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 -1/2 (.f64 y z))
0.0ms	z	@	0	(.f64 -1/2 (.f64 y z))
0.0ms	y	@	inf	(.f64 -1/2 (.f64 y z))
0.0ms	y	@	-inf	(.f64 -1/2 (.f64 y z))
0.0ms	z	@	inf	(.f64 -1/2 (.f64 y z))

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1394	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 y z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 y z))))))))

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 -1/2 (.f64 y z))
	0.0b	(+.f64 (.f64 -1/2 (.f64 y z)) t)
✓	0.0b	(+.f64 (.f64 -1/2 (.f64 y z)) t)
	0.0b	(.f64 -1/2 (.f64 y z))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series3.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (.f64 -1/2 (.f64 y z)) t)
0.0ms	t	@	0	(+.f64 (.f64 -1/2 (.f64 y z)) t)
0.0ms	y	@	inf	(+.f64 (.f64 -1/2 (.f64 y z)) t)
0.0ms	z	@	-inf	(+.f64 (.f64 -1/2 (.f64 y z)) t)
0.0ms	t	@	-inf	(+.f64 (.f64 -1/2 (.f64 y z)) t)

rewrite62.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`pow1_binary64`
834×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
817×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	172	8
2	2260	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 (.f64 y z)) t)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 -1/2 y) z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (fma.f64 -1/2 (*.f64 y z) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 -1/2 (*.f64 y z) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -1/2 y) z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) (sqrt.f64 (fma.f64 (*.f64 -1/2 y) z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 y z)) 3) (pow.f64 t 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 t (-.f64 t (*.f64 -1/2 (*.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 t t)) (/.f64 1 (fma.f64 -1/2 (*.f64 y z) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 t (-.f64 t (*.f64 -1/2 (*.f64 y z))))) (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 y z)) 3) (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/2 (*.f64 y z) (neg.f64 t)) (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 y z)) 3) (pow.f64 t 3)) (+.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 t (-.f64 t (*.f64 -1/2 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 y z)) 3) (pow.f64 t 3)) (+.f64 (*.f64 t t) (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 -1/2 (*.f64 (*.f64 y z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 t t)) (fma.f64 -1/2 (*.f64 y z) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 y z)) 3) (pow.f64 t 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 t (-.f64 t (*.f64 -1/2 (*.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 1/4) (*.f64 t t))) (neg.f64 (fma.f64 -1/2 (*.f64 y z) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 t t) (*.f64 (pow.f64 (*.f64 y z) 2) 1/4)) (-.f64 t (*.f64 -1/2 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 -1/2 y) z t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) -1/2 t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (*.f64 y z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t (*.f64 -1/2 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y z))) 2) (cbrt.f64 (*.f64 -1/2 (*.f64 y z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 t) (*.f64 -1/2 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 (*.f64 y z))) (sqrt.f64 (*.f64 -1/2 (*.f64 y z))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (sqrt.f64 t) (*.f64 -1/2 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) z t)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/2 y) z t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 -1/2 y) z t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/2 y) z t)))))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	39
1	11	39
2	18	39
3	20	39

Stop Event

1×

saturated

Counts

45 → 39

Calls

Call 1

Inputs
t
(.f64 -1/2 (.f64 y z))
(.f64 -1/2 (.f64 y z))
t
(.f64 -1/2 (.f64 y z))
(.f64 -1/2 (.f64 y z))
(.f64 -1/2 (.f64 y z))
t
t

Outputs
t
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
t
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
t
t

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 y z))
	0.0b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
✓	0.0b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
✓	0.0b	(.f64 1/2 (.f64 y z))

Compiler

Compiled 29 to 16 computations (44.8% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 1/2 (.f64 y z))
0.0ms	y	@	inf	(.f64 1/2 (.f64 y z))
0.0ms	x	@	inf	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
0.0ms	y	@	-inf	(.f64 1/2 (.f64 y z))
0.0ms	z	@	0	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))

rewrite81.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
408×	`exp-prod_binary64`
401×	`fma-def_binary64`
317×	`pow-prod-down_binary64`
277×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	221	18
2	2826	18

Stop Event

1×	node limit

Counts

2 → 199

Calls

Call 1

Inputs
(.f64 1/2 (.f64 y z))
(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (*.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 1/2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (*.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (*.f64 1/2 y))))) (sqrt.f64 (log.f64 (*.f64 z (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (*.f64 1/2 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (*.f64 1/2 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (*.f64 1/2 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 1/2 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 x) (*.f64 (*.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 x) (*.f64 (*.f64 (*.f64 -1/2 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 x) (fma.f64 (*.f64 y z) -1/2 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x)) (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x)) (fma.f64 (*.f64 (*.f64 -1/2 y) z) 1 (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 1/2 y))) 2) (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x)) (fma.f64 (neg.f64 z) (*.f64 1/2 y) (*.f64 z (*.f64 1/2 y))))))) 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1 (fma.f64 1/2 (*.f64 y z) (*.f64 1/8 x))) (*.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (*.f64 z (*.f64 1/2 y)) 2)) (/.f64 1 (fma.f64 1/2 (*.f64 y z) (*.f64 1/8 x))) (+.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y))) (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y z) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 y) (neg.f64 z) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y)))) 2) (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y)))) (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 y) z)) 2) (cbrt.f64 (*.f64 (*.f64 -1/2 y) z)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y)))) (sqrt.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y)))) (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 -1/2 y) z)) (sqrt.f64 (*.f64 (*.f64 -1/2 y) z)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (sqrt.f64 (*.f64 z (*.f64 1/2 y))) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z (*.f64 1/2 y)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (fma.f64 (*.f64 (*.f64 -1/2 y) z) 1 (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 1/2 y))) 2) (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (fma.f64 (neg.f64 z) (*.f64 1/2 y) (*.f64 z (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (*.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (-.f64 (sqrt.f64 (*.f64 1/8 x)) (sqrt.f64 (*.f64 z (*.f64 1/2 y)))) (+.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y))) (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 1/2 y))) 2)) (cbrt.f64 (*.f64 z (*.f64 1/2 y))) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 1/2 y)) z (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (*.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 -1/2 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 (*.f64 y z) -1/2 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 1/2 y)) (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (*.f64 -1/2 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (*.f64 y z) -1/2 (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 1/2 y)) (fma.f64 (*.f64 y z) -1/2 (*.f64 z (*.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) z (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 z) y (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (*.f64 y z) 2))) (cbrt.f64 (*.f64 y z)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 y z) -1/2 (*.f64 1/8 x))))))))

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def_binary64`
6×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	348
1	17	348
2	28	348
3	34	348

Stop Event

1×

saturated

Counts

235 → 203

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))

Outputs
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 y z) (.f64 1/8 x))

eval122.0ms (3.2%)

Compiler: Compiled 5087 to 3149 computations (38.1% saved)

prune48.0ms (1.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	1	2	3
Picked	0	1	1
Done	0	4	4
Total	264	8	272

Error

Counts

272 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.1b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
	38.4b	t
✓	14.5b	(+.f64 (*.f64 1/8 x) t)
✓	39.1b	(*.f64 1/8 x)
▶	24.5b	(fma.f64 y (*.f64 -1/2 z) t)
✓	24.5b	(+.f64 (.f64 -1/2 (.f64 y z)) t)
▶	25.1b	(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
✓	48.9b	(.f64 -1/2 (.f64 y z))

Compiler

Compiled 76 to 58 computations (23.7% saved)

localize10.0ms (0.3%)

Compiler: Compiled 23 to 15 computations (34.8% saved)

localize8.0ms (0.2%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune4.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.1b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
	38.4b	t
✓	14.5b	(+.f64 (*.f64 1/8 x) t)
✓	39.1b	(*.f64 1/8 x)
✓	24.5b	(fma.f64 y (*.f64 -1/2 z) t)
✓	24.5b	(+.f64 (.f64 -1/2 (.f64 y z)) t)
✓	25.1b	(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
✓	48.9b	(.f64 -1/2 (.f64 y z))

Compiler

Compiled 76 to 58 computations (23.7% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune4.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.1b	(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
	38.4b	t
✓	14.5b	(+.f64 (*.f64 1/8 x) t)
✓	39.1b	(*.f64 1/8 x)
✓	24.5b	(fma.f64 y (*.f64 -1/2 z) t)
✓	24.5b	(+.f64 (.f64 -1/2 (.f64 y z)) t)
✓	25.1b	(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
✓	48.9b	(.f64 -1/2 (.f64 y z))

Compiler

Compiled 76 to 58 computations (23.7% saved)

regimes116.0ms (3.1%)

Counts

8 → 3

Calls

Call 1

Inputs
t
(*.f64 1/8 x)
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
(fma.f64 y (*.f64 -1/2 z) t)
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))

Outputs
(fma.f64 y (.f64 z -1/2) (.f64 1/8 x))
(+.f64 (*.f64 1/8 x) t)
(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))

Calls

6 calls:

29.0ms	y
21.0ms	x
19.0ms	z
16.0ms	t
15.0ms	(*.f64 y z)

Results

Error	Segments	Branch
6.8b	3	`x`
7.2b	5	`y`
8.6b	3	`z`
5.5b	3	`t`
4.6b	3	`(*.f64 y z)`
4.6b	3	`(*.f64 y z)`

Compiler

Compiled 82 to 54 computations (34.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.94416969163241e+23	2.1635268452570455e+25
0.0ms	-9.1174773595991e+121	-2.9955116680270535e+118

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes100.0ms (2.6%)

Counts

7 → 3

Calls

Call 1

Inputs
t
(*.f64 1/8 x)
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
(fma.f64 y (*.f64 -1/2 z) t)

Outputs
(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))
(+.f64 (*.f64 1/8 x) t)
(-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))

Calls

5 calls:

26.0ms	y
19.0ms	x
19.0ms	z
17.0ms	t
14.0ms	(*.f64 y z)

Results

Error	Segments	Branch
6.8b	3	`x`
7.2b	5	`y`
8.6b	3	`z`
5.5b	3	`t`
4.6b	3	`(*.f64 y z)`

Compiler

Compiled 67 to 44 computations (34.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.94416969163241e+23	2.1635268452570455e+25
0.0ms	-9.1174773595991e+121	-2.9955116680270535e+118

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes74.0ms (1.9%)

Counts

5 → 3

Calls

Call 1

Inputs
t
(*.f64 1/8 x)
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)

Outputs
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (*.f64 1/8 x) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)

Calls

5 calls:

17.0ms	z
17.0ms	x
16.0ms	y
12.0ms	(*.f64 y z)
10.0ms	t

Results

Error	Segments	Branch
7.4b	3	`x`
9.8b	3	`y`
10.0b	3	`z`
12.9b	2	`t`
5.2b	3	`(*.f64 y z)`

Compiler

Compiled 52 to 36 computations (30.8% saved)

bsearch46.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.0761491174801814e+124	1.5260425066573293e+128
24.0ms	-2.0915082795430662e+77	-1.997228869746991e+70

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes44.0ms (1.2%)

Counts

4 → 3

Calls

Call 1

Inputs
t
(*.f64 1/8 x)
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)

Outputs
(.f64 -1/2 (.f64 y z))
(+.f64 (*.f64 1/8 x) t)
(.f64 -1/2 (.f64 y z))

Calls

5 calls:

12.0ms	z
12.0ms	(*.f64 y z)
8.0ms	y
4.0ms	t
4.0ms	x

Results

Error	Segments	Branch
14.5b	1	`x`
12.2b	2	`y`
13.1b	3	`z`
14.5b	1	`t`
6.5b	3	`(*.f64 y z)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch47.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.0761491174801814e+124	1.5260425066573293e+128
23.0ms	-7.20243854477268e+124	-9.1174773595991e+121

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes134.0ms (3.5%)

Counts

3 → 5

Calls

Call 1

Inputs
t
(*.f64 1/8 x)
(.f64 -1/2 (.f64 y z))

Outputs
t
(.f64 -1/2 (.f64 y z))
t
(*.f64 1/8 x)
t

Calls

5 calls:

40.0ms	y
29.0ms	z
26.0ms	t
22.0ms	(*.f64 y z)
15.0ms	x

Results

Error	Segments	Branch
22.9b	3	`x`
25.9b	12	`y`
28.1b	8	`z`
21.2b	5	`t`
24.7b	7	`(*.f64 y z)`

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch96.0ms (2.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	4.111892382606937e+94	2.317355528570904e+95
23.0ms	-1.7350310241546463e-56	-5.046669614436261e-58
25.0ms	-3.353267083893106e-6	-7.271789151824333e-19
23.0ms	-1.7296732402236914e+81	-1.3508143093866657e+76

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes70.0ms (1.8%)

Accuracy

Total -40.0b remaining (-179.1%)

Threshold costs -40.0b (-179.1%)

Counts

2 → 3

Calls

Call 1

Inputs
t
(*.f64 1/8 x)

Outputs
t
(*.f64 1/8 x)
t

Calls

4 calls:

23.0ms	z
20.0ms	y
13.0ms	t
12.0ms	x

Results

Error	Segments	Branch
22.9b	3	`x`
32.4b	7	`y`
31.2b	8	`z`
22.3b	3	`t`

Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch45.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.111892382606937e+94	2.317355528570904e+95
22.0ms	-1.7350310241546463e-56	-5.046669614436261e-58

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`distribute-rgt-neg-in_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	241
1	58	241
2	67	241
3	78	241
4	85	241
5	90	241
6	92	241

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y z) -50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768) (fma.f64 y (.f64 z -1/2) (.f64 1/8 x)) (if (<=.f64 (.f64 y z) 999999999999999983222784) (+.f64 (.f64 1/8 x) t) (-.f64 (.f64 1/8 x) (.f64 1/2 (.f64 y z)))))
(if (<=.f64 (.f64 y z) -50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768) (-.f64 (.f64 1/8 x) (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 999999999999999983222784) (+.f64 (.f64 1/8 x) t) (-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))))
(if (<=.f64 (.f64 y z) -209150827954306623979196437331609800832901449594027635199274898395186203721728) (+.f64 (.f64 -1/2 (.f64 y z)) t) (if (<=.f64 (.f64 y z) 10761491174801814499880223269867745377667821344767743556045811435119440461770852294922490580903797522064065412434725150130176) (+.f64 (.f64 1/8 x) t) (+.f64 (.f64 -1/2 (*.f64 y z)) t)))
(if (<=.f64 (.f64 y z) -72024385447726803690924860859470844456472236542872186176529808128541917892837778450016050626924368791386547267461609496248320) (.f64 -1/2 (.f64 y z)) (if (<=.f64 (.f64 y z) 10761491174801814499880223269867745377667821344767743556045811435119440461770852294922490580903797522064065412434725150130176) (+.f64 (.f64 1/8 x) t) (.f64 -1/2 (*.f64 y z))))
(if (<=.f64 t -1729673240223691378502197690454714714977775499293908109765262221523850635996299264) t (if (<=.f64 t -7917678042543419/2361183241434822606848) (.f64 -1/2 (.f64 y z)) (if (<=.f64 t -7663836180817677/441711766194596082395824375185729628956870974218904739530401550323154944) t (if (<=.f64 t 41118923826069372339034545405408066906082526762809681683786743757565406777205618456545831419904) (*.f64 1/8 x) t))))
(if (<=.f64 t -7663836180817677/441711766194596082395824375185729628956870974218904739530401550323154944) t (if (<=.f64 t 41118923826069372339034545405408066906082526762809681683786743757565406777205618456545831419904) (*.f64 1/8 x) t))
t

Outputs
(if (<=.f64 (.f64 y z) -50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768) (fma.f64 y (.f64 z -1/2) (.f64 1/8 x)) (if (<=.f64 (.f64 y z) 999999999999999983222784) (+.f64 (.f64 1/8 x) t) (-.f64 (.f64 1/8 x) (.f64 1/2 (.f64 y z)))))
(if (<=.f64 (.f64 y z) -50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768) (fma.f64 y (.f64 z -1/2) (.f64 1/8 x)) (if (<=.f64 (.f64 y z) 999999999999999983222784) (+.f64 (.f64 1/8 x) t) (+.f64 (.f64 1/8 x) (.f64 (.f64 y z) -1/2))))
(if (<=.f64 (.f64 y z) -50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768) (-.f64 (.f64 1/8 x) (.f64 1/2 (.f64 y z))) (if (<=.f64 (.f64 y z) 999999999999999983222784) (+.f64 (.f64 1/8 x) t) (-.f64 (.f64 1/8 x) (.f64 1/2 (*.f64 y z)))))
(if (<=.f64 (.f64 y z) -50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768) (+.f64 (.f64 1/8 x) (.f64 (.f64 y z) -1/2)) (if (<=.f64 (.f64 y z) 999999999999999983222784) (+.f64 (.f64 1/8 x) t) (+.f64 (.f64 1/8 x) (.f64 (*.f64 y z) -1/2))))
(if (<=.f64 (.f64 y z) -209150827954306623979196437331609800832901449594027635199274898395186203721728) (+.f64 (.f64 -1/2 (.f64 y z)) t) (if (<=.f64 (.f64 y z) 10761491174801814499880223269867745377667821344767743556045811435119440461770852294922490580903797522064065412434725150130176) (+.f64 (.f64 1/8 x) t) (+.f64 (.f64 -1/2 (*.f64 y z)) t)))
(if (<=.f64 (.f64 y z) -209150827954306623979196437331609800832901449594027635199274898395186203721728) (+.f64 t (.f64 (.f64 y z) -1/2)) (if (<=.f64 (.f64 y z) 10761491174801814499880223269867745377667821344767743556045811435119440461770852294922490580903797522064065412434725150130176) (+.f64 (.f64 1/8 x) t) (+.f64 t (.f64 (*.f64 y z) -1/2))))
(if (<=.f64 (.f64 y z) -72024385447726803690924860859470844456472236542872186176529808128541917892837778450016050626924368791386547267461609496248320) (.f64 -1/2 (.f64 y z)) (if (<=.f64 (.f64 y z) 10761491174801814499880223269867745377667821344767743556045811435119440461770852294922490580903797522064065412434725150130176) (+.f64 (.f64 1/8 x) t) (.f64 -1/2 (*.f64 y z))))
(if (<=.f64 (.f64 y z) -72024385447726803690924860859470844456472236542872186176529808128541917892837778450016050626924368791386547267461609496248320) (.f64 (.f64 y z) -1/2) (if (<=.f64 (.f64 y z) 10761491174801814499880223269867745377667821344767743556045811435119440461770852294922490580903797522064065412434725150130176) (+.f64 (.f64 1/8 x) t) (.f64 (*.f64 y z) -1/2)))
(if (<=.f64 t -1729673240223691378502197690454714714977775499293908109765262221523850635996299264) t (if (<=.f64 t -7917678042543419/2361183241434822606848) (.f64 -1/2 (.f64 y z)) (if (<=.f64 t -7663836180817677/441711766194596082395824375185729628956870974218904739530401550323154944) t (if (<=.f64 t 41118923826069372339034545405408066906082526762809681683786743757565406777205618456545831419904) (*.f64 1/8 x) t))))
(if (<=.f64 t -1729673240223691378502197690454714714977775499293908109765262221523850635996299264) t (if (<=.f64 t -7917678042543419/2361183241434822606848) (.f64 (.f64 y z) -1/2) (if (<=.f64 t -7663836180817677/441711766194596082395824375185729628956870974218904739530401550323154944) t (if (<=.f64 t 41118923826069372339034545405408066906082526762809681683786743757565406777205618456545831419904) (*.f64 1/8 x) t))))
(if (<=.f64 t -7663836180817677/441711766194596082395824375185729628956870974218904739530401550323154944) t (if (<=.f64 t 41118923826069372339034545405408066906082526762809681683786743757565406777205618456545831419904) (*.f64 1/8 x) t))
t

end82.0ms (2.2%)

Stop Event

1×

fuel

Remove

(sort y z)

Compiler

Compiled 444 to 266 computations (40.1% saved)

Details

analyze404.0ms (10.7%)

sample1.5s (38.5%)

preprocess100.0ms (2.6%)

simplify23.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize12.0ms (0.3%)

series8.0ms (0.2%)

rewrite49.0ms (1.3%)

simplify18.0ms (0.5%)

localize19.0ms (0.5%)

series14.0ms (0.4%)

rewrite100.0ms (2.6%)

simplify76.0ms (2%)

eval120.0ms (3.2%)

prune53.0ms (1.4%)

localize8.0ms (0.2%)

localize4.0ms (0.1%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite47.0ms (1.2%)

simplify8.0ms (0.2%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite62.0ms (1.6%)

simplify9.0ms (0.2%)

localize11.0ms (0.3%)

series4.0ms (0.1%)

rewrite81.0ms (2.1%)

simplify19.0ms (0.5%)

eval122.0ms (3.2%)

prune48.0ms (1.3%)

localize10.0ms (0.3%)

localize8.0ms (0.2%)

eval0.0ms (0%)

prune4.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes116.0ms (3.1%)

bsearch0.0ms (0%)

regimes100.0ms (2.6%)

bsearch0.0ms (0%)

regimes74.0ms (1.9%)

bsearch46.0ms (1.2%)

regimes44.0ms (1.2%)

bsearch47.0ms (1.2%)

regimes134.0ms (3.5%)

bsearch96.0ms (2.5%)

regimes70.0ms (1.8%)

bsearch45.0ms (1.2%)

simplify11.0ms (0.3%)

end82.0ms (2.2%)

Profiling