Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 15 to 15 computations (0% saved)

sample1.2s (27.1%)

Memory

-13.5MiB live, 1 022.2MiB allocated

Samples

815.0ms	8 255×	0	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 510.0ms

ival-div: 286.0ms (56% of total)

ival-mult: 102.0ms (20% of total)

ival-add: 64.0ms (12.5% of total)

ival-sub: 38.0ms (7.4% of total)

exact: 11.0ms (2.2% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess179.0ms (4%)

Memory

35.0MiB live, 114.0MiB allocated

Algorithm

1×	egg-herbie

Rules

704×	`lower-fma.f64`
704×	`lower-fma.f32`
664×	`sub-neg`
350×	`unsub-neg`
342×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	164
1	164	155
2	405	154
3	1042	154
4	2188	154
5	2948	154
6	3153	154
7	3176	154
8	3183	154
9	3183	154
10	3185	154
11	3191	154
0	13	11
0	20	11
1	31	11
2	57	11
3	108	11
4	189	11
5	315	11
6	486	11
7	666	11
8	798	11
9	800	11
0	800	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Outputs

(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)

(fma.f64 #s(literal 1/8 binary64) x (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t))

Symmetry

(sort y z)

explain217.0ms (4.9%)

Memory

-9.0MiB live, 274.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
-	-	`#s(literal 8 binary64)`
-	-	`t`
-	-	`#s(literal 1 binary64)`
-	-	`z`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))`
-	-	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
-	-	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
-	-	`(*.f64 y z)`
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

111.0ms

512×

valid

Compiler

Compiled 132 to 56 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (36.7% of total)

ival-div: 6.0ms (31.4% of total)

ival-sub: 2.0ms (10.5% of total)

ival-add: 2.0ms (10.5% of total)

exact: 1.0ms (5.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify34.0ms (0.8%)

Memory

8.6MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
✓	cost-diff	128	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
✓	cost-diff	384	(/.f64 (*.f64 y z) #s(literal 2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))

Rules

704×	`lower-fma.f64`
704×	`lower-fma.f32`
320×	`lower-*.f32`
316×	`lower-*.f64`
160×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 z (.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(*.f64 #s(literal 1/8 binary64) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(.f64 z (.f64 y #s(literal 1/2 binary64)))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t

localize41.0ms (0.9%)

Memory

-33.9MiB live, 50.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-assert: 4.0ms (29.7% of total)

ival-div: 3.0ms (22.2% of total)

ival-mult: 3.0ms (22.2% of total)

ival-sub: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(literal 8 binary64))>
#<alt (/.f64 (*.f64 y z) #s(literal 2 binary64))>
#<alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)>
#<alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))>
#<alt (*.f64 y z)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)>

Outputs
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (* 1/2 (* y z))>
#<alt (- t (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt t>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1/2 (* y z))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))>
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))>
#<alt (* y (- (* 1/8 (/ x y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))>
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))>
#<alt (* z (- (* 1/8 (/ x z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>

Calls

36 calls:

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

simplify268.0ms (6%)

Memory

0.7MiB live, 388.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 994×	`lower-fma.f64`
10 994×	`lower-fma.f32`
2 884×	`lower-*.f64`
2 884×	`lower-*.f32`
1 240×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	958
1	241	958
2	633	958
3	1919	958
4	5140	958
0	8110	855

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

Calls

Call 1

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

Outputs
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(- t (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)

rewrite364.0ms (8.2%)

Memory

19.3MiB live, 573.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 930×	`lower-fma.f64`
8 930×	`lower-fma.f32`
4 482×	`lower-*.f32`
4 478×	`lower-*.f64`
2 730×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
0	20	32
1	65	32
2	503	32
3	6469	32
0	8004	29

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 280

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Outputs
#s(literal 1/8 binary64)
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(neg.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (*.f64 y (neg.f64 z)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal 1/2 binary64))))
(.f64 y (.f64 z #s(literal 1/2 binary64)))
(.f64 y (.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 z (.f64 y #s(literal 1/2 binary64)))
(.f64 z (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(.f64 z (.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y z) #s(literal 1/2 binary64))
(.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y (neg.f64 z)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z))))
(.f64 (.f64 z #s(literal 1/2 binary64)) y)
(.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(.f64 (neg.f64 z) (.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y (neg.f64 z)))
(.f64 (neg.f64 y) (.f64 z #s(literal -1/2 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) z)
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 1/2 binary64)))
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(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/512 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (.f64 y (.f64 z (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (fma.f64 y (.f64 z (.f64 #s(literal 1/4 binary64) (.f64 y z))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 y (.f64 z (.f64 y z)))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))) (fma.f64 y (.f64 z (.f64 #s(literal 1/4 binary64) (.f64 y z))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
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(.f64 (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))))
(.f64 (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (*.f64 x #s(literal 1/64 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))))
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(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (*.f64 x #s(literal 1/64 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 (.f64 #s(literal 1/8 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (*.f64 x x)))))
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(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
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(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 z)))
(neg.f64 (*.f64 y (neg.f64 z)))
(.f64 #s(literal 1 binary64) (.f64 y z))
(*.f64 y z)
(*.f64 y (neg.f64 (neg.f64 z)))
(.f64 y (.f64 z #s(literal 1 binary64)))
(*.f64 z y)
(*.f64 z (neg.f64 (neg.f64 y)))
(.f64 z (.f64 y #s(literal 1 binary64)))
(.f64 (.f64 y z) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 (neg.f64 y)) z)
(.f64 (.f64 #s(literal 1 binary64) y) z)
(.f64 (.f64 #s(literal 1 binary64) z) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))

eval52.0ms (1.2%)

Memory: -19.6MiB live, 136.0MiB allocated
Compiler: Compiled 11 938 to 856 computations (92.8% saved)

prune68.0ms (1.5%)

Memory

20.0MiB live, 148.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	417	5	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	418	5	423

Accuracy

100.0%

Counts

423 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
▶	68.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
▶	66.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	34.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
▶	32.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Compiler

Compiled 102 to 70 computations (31.4% saved)

simplify35.0ms (0.8%)

Memory

9.4MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 1/8 binary64) x)
✓	cost-diff	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
✓	cost-diff	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	(fma.f64 #s(literal 1/8 binary64) x t)
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
✓	cost-diff	(*.f64 #s(literal 1/8 binary64) x)
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
✓	cost-diff	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

Rules

704×	`lower-fma.f32`
698×	`lower-fma.f64`
320×	`lower-*.f32`
314×	`lower-*.f64`
160×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	32	141
1	49	136
2	80	136
3	133	136
4	214	136
5	353	136
6	509	136
7	683	136
8	813	136
9	815	136
0	815	131

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x

localize67.0ms (1.5%)

Memory

2.0MiB live, 157.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
✓	accuracy	65.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	34.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	accuracy	66.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	32.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
✓	accuracy	100.0%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	68.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

Samples

37.0ms

256×

valid

Compiler

Compiled 125 to 23 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 10.0ms (47.2% of total)

ival-add: 6.0ms (28.3% of total)

ival-div: 3.0ms (14.1% of total)

ival-sub: 1.0ms (4.7% of total)

exact: 1.0ms (4.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory

-13.0MiB live, 24.8MiB allocated

Counts

11 → 384

Calls

Call 1

Inputs
#<alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))>
#<alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)>
#<alt (*.f64 z #s(literal -1/2 binary64))>
#<alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))>
#<alt (fma.f64 #s(literal 1/8 binary64) x t)>
#<alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))>
#<alt (.f64 y (.f64 z #s(literal -1/2 binary64)))>
#<alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))>
#<alt (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))>

Outputs
#<alt (- t (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt t>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* z (+ (* -1/2 y) (/ t z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt t>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (- t (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt t>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (- t (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt t>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt t>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (/ t x)))>
#<alt (* x (+ 1/8 (/ t x)))>
#<alt (* x (+ 1/8 (/ t x)))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ t x)) 1/8)))>
#<alt (* 1/8 x)>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (* 1/8 x))>
#<alt t>
#<alt (* t (+ 1 (* 1/8 (/ x t))))>
#<alt (* t (+ 1 (* 1/8 (/ x t))))>
#<alt (* t (+ 1 (* 1/8 (/ x t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))>
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))>
#<alt (* -1 (* t (- (* -1/8 (/ x t)) 1)))>
#<alt (- t (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt t>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (- t (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))>
#<alt (- (* 1/8 x) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt (- (+ t (* 1/8 x)) (* 1/2 (* y z)))>
#<alt t>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>

Calls

96 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* y (* z -1/2)) (* 1/8 x))
0.0ms	z	@	-inf	(* z -1/2)
0.0ms	z	@	inf	(* z -1/2)
0.0ms	y	@	0	(+ (* y (* z -1/2)) t)
0.0ms	z	@	0	(* z -1/2)

simplify274.0ms (6.2%)

Memory

-34.2MiB live, 397.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 416×	`lower-fma.f64`
5 416×	`lower-fma.f32`
2 966×	`lower-*.f64`
2 966×	`lower-*.f32`
1 758×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	3042
1	368	3042
2	1057	3042
3	3041	3042
4	6294	3042
0	8065	2590

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 367

Calls

Call 1

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

Outputs
(- t (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(+ t (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(+ t (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(+ t (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
t
(+ t (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(+ t (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(+ t (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(+ t (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(+ t (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(+ t (* -1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
t
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
t
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(- t (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
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(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(- t (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))

rewrite598.0ms (13.5%)

Memory

21.1MiB live, 810.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 990×	`lower-fma.f32`
14 984×	`lower-fma.f64`
5 366×	`lower-*.f32`
5 360×	`lower-*.f64`
3 284×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	115
0	32	115
1	109	110
2	877	110
0	8912	105

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

11 → 222

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(*.f64 z #s(literal -1/2 binary64))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 t (.f64 (.f64 y z) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)
(+.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (neg.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t))))
(-.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 y z) #s(literal 1/2 binary64)) t))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)))
(-.f64 (/.f64 (.f64 t t) (+.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (+.f64 t (.f64 (*.f64 y z) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 t #s(literal 0 binary64)) (.f64 (.f64 y z) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t)
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (neg.f64 t)))
(fma.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))) t)
(fma.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (neg.f64 (neg.f64 t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (neg.f64 (neg.f64 t)))
(fma.f64 (neg.f64 (*.f64 y z)) #s(literal 1/2 binary64) t)
(fma.f64 (neg.f64 (*.f64 y z)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 t)))
(fma.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (neg.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 y z)) t)
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 y z)) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y) t)
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y) (neg.f64 (neg.f64 t)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y z) #s(literal 1/2 binary64)) t)
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y z) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) t)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)) t)
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))))) (+.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (*.f64 #s(literal 1/64 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (*.f64 #s(literal 1/64 binary64) x)))))
(.f64 (fma.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z) (.f64 (.f64 x x) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 x (.f64 #s(literal 1/64 binary64) x) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/64 binary64) (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (*.f64 #s(literal 1/64 binary64) x))))))

eval71.0ms (1.6%)

Memory: 18.7MiB live, 210.0MiB allocated
Compiler: Compiled 8 587 to 501 computations (94.2% saved)

prune46.0ms (1%)

Memory

-15.4MiB live, 146.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	650	0	650
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	650	5	655

Accuracy

100.0%

Counts

655 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
✓	68.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
✓	66.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
✓	34.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	32.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Compiler

Compiled 99 to 56 computations (43.4% saved)

regimes27.0ms (0.6%)

Memory

1.1MiB live, 78.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Calls

9 calls:

4.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
3.0ms	z
3.0ms	t
3.0ms	x
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
100.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
100.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
100.0%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes27.0ms (0.6%)

Memory

2.5MiB live, 54.8MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))

Calls

9 calls:

6.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	z
2.0ms	t
2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
2.0ms	x

Results

Accuracy	Segments	Branch
87.3%	4	`x`
88.1%	4	`y`
84.6%	3	`z`
86.8%	3	`t`
79.6%	3	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
85.9%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
87.3%	4	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
90.9%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
90.9%	3	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes17.0ms (0.4%)

Memory

-27.0MiB live, 12.5MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

Calls

2 calls:

14.0ms	(*.f64 y z)
2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
90.8%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
90.8%	3	`(*.f64 y z)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes53.0ms (1.2%)

Memory

-0.9MiB live, 38.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))

Calls

7 calls:

41.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	y
2.0ms	t
2.0ms	x

Results

Accuracy	Segments	Branch
66.8%	1	`x`
66.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
79.2%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
78.6%	3	`y`
66.8%	1	`t`
85.0%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
85.0%	3	`(*.f64 y z)`

Compiler

Compiled 55 to 44 computations (20% saved)

regimes12.0ms (0.3%)

Memory

30.6MiB live, 30.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Calls

7 calls:

2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
2.0ms	y
2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
66.8%	1	`t`
66.8%	1	`y`
66.8%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
66.8%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
66.8%	1	`z`
66.8%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
66.8%	1	`(*.f64 y z)`

Compiler

Compiled 63 to 49 computations (22.2% saved)

regimes14.0ms (0.3%)

Memory

-0.2MiB live, 36.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Calls

9 calls:

3.0ms	t
1.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	x

Results

Accuracy	Segments	Branch
32.9%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
32.9%	1	`x`
32.9%	1	`z`
32.9%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
32.9%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
32.9%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
32.9%	1	`(*.f64 y z)`
32.9%	1	`y`
32.9%	1	`t`

Compiler

Compiled 77 to 61 computations (20.8% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5768294492495353e+96	6.737627012271887e+99
0.0ms	-1.090440857778585e-6	-7.899959742134685e-15

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.147378287452835e+164	5.881439270022814e+164
0.0ms	-1.090440857778585e-6	-7.899959742134685e-15

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.147378287452835e+164	5.881439270022814e+164
0.0ms	-1.3180537427556473e+53	-1.752134137633991e+52

Compiler

Compiled 20 to 20 computations (0% saved)

simplify12.0ms (0.3%)

Memory

-16.1MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	236
1	57	236
2	65	236
3	77	236
4	86	236
5	92	236
6	94	236

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(if (<=.f64 (.f64 y z) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (.f64 y z) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (.f64 y z) #s(literal 499999999999999949744946725916742463616729199870270210168475669427760178562522141308143785173381560448289292588852435695614598737032033598249132386803550778772422656 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(if (<=.f64 (.f64 y z) #s(literal -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (if (<=.f64 (.f64 y z) #s(literal 499999999999999949744946725916742463616729199870270210168475669427760178562522141308143785173381560448289292588852435695614598737032033598249132386803550778772422656 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(if (<=.f64 (.f64 y z) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (.f64 y z) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (.f64 y z) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (.f64 y z) #s(literal 499999999999999949744946725916742463616729199870270210168475669427760178562522141308143785173381560448289292588852435695614598737032033598249132386803550778772422656 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(if (<=.f64 (.f64 y z) #s(literal -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (if (<=.f64 (.f64 y z) #s(literal 499999999999999949744946725916742463616729199870270210168475669427760178562522141308143785173381560448289292588852435695614598737032033598249132386803550778772422656 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))

soundness681.0ms (15.3%)

Memory

-3.7MiB live, 267.8MiB allocated

Rules

10 994×	`lower-fma.f64`
10 994×	`lower-fma.f32`
2 884×	`lower-*.f64`
2 884×	`lower-*.f32`
1 240×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	958
1	241	958
2	633	958
3	1919	958
4	5140	958
0	8110	855

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 199 to 95 computations (52.3% saved)

preprocess55.0ms (1.2%)

Memory: 7.1MiB live, 122.5MiB allocated
Remove: (sort y z)
Compiler: Compiled 404 to 196 computations (51.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	26	141
0	32	141
1	49	136
2	80	136
3	133	136
4	214	136
5	353	136
6	509	136
7	683	136
8	813	136
9	815	136
0	815	131

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	26	141
0	32	141
1	49	136
2	80	136
3	133	136
4	214	136
5	353	136
6	509	136
7	683	136
8	813	136
9	815	136
0	815	131

analyze0.0ms (0%)

sample1.2s (27.1%)

preprocess179.0ms (4%)

explain217.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.8%)

localize41.0ms (0.9%)

series9.0ms (0.2%)

simplify268.0ms (6%)

rewrite364.0ms (8.2%)

eval52.0ms (1.2%)

prune68.0ms (1.5%)

simplify35.0ms (0.8%)

localize67.0ms (1.5%)

series11.0ms (0.3%)

simplify274.0ms (6.2%)

rewrite598.0ms (13.5%)

eval71.0ms (1.6%)

prune46.0ms (1%)

regimes27.0ms (0.6%)

regimes27.0ms (0.6%)

regimes17.0ms (0.4%)

regimes53.0ms (1.2%)

regimes12.0ms (0.3%)

regimes14.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.3%)

soundness681.0ms (15.3%)

preprocess55.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	26	141
0	32	141
1	49	136
2	80	136
3	133	136
4	214	136
5	353	136
6	509	136
7	683	136
8	813	136
9	815	136
0	815	131