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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.0s (23.5%)

Memory

-125.4MiB live, 1 776.3MiB allocated

Samples

577.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

ival-div: 153.0ms (42.6% of total)

ival-mult: 108.0ms (30.1% of total)

ival-sub: 44.0ms (12.2% of total)

ival-add: 36.0ms (10% of total)

exact: 10.0ms (2.8% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess147.0ms (3.3%)

Memory

5.1MiB live, 124.7MiB 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)

explain134.0ms (3%)

Memory

7.1MiB live, 334.4MiB 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

43.0ms

512×

valid

Compiler

Compiled 132 to 56 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (40% of total)

ival-div: 6.0ms (30% of total)

ival-sub: 2.0ms (10% of total)

ival-add: 2.0ms (10% of total)

exact: 1.0ms (5% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify88.0ms (2%)

Memory

-8.5MiB live, 69.9MiB 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

localize38.0ms (0.9%)

Memory

4.2MiB live, 84.2MiB 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

24.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (50.6% of total)

ival-div: 3.0ms (25.3% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Memory

-28.8MiB live, 10.2MiB 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)
0.0ms	z	@	inf	(/ (* y z) 2)

rewrite387.0ms (8.8%)

Memory

35.2MiB live, 577.7MiB 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)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) t)
(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x t))
(+.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))) (neg.f64 (/.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)))))
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(/.f64 (.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)))) #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)))))
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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)))))
(.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) (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)))) (/.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))))
(.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.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 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))))
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(.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)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64))))
(.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)))))
(.f64 (/.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)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 (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)))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 y (.f64 (.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 (.f64 y (.f64 (.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 #s(literal 1/4096 binary64) (.f64 (.f64 x 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 #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))

simplify319.0ms (7.2%)

Memory

9.0MiB live, 363.7MiB 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)

eval50.0ms (1.1%)

Memory: 1.5MiB live, 114.0MiB allocated
Compiler: Compiled 11 796 to 856 computations (92.7% saved)

prune53.0ms (1.2%)

Memory

-21.6MiB live, 82.7MiB 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
▶	69.2%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
▶	68.8%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
▶	62.7%	(fma.f64 #s(literal 1/8 binary64) x t)
▶	38.6%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
▶	33.0%	(*.f64 #s(literal 1/8 binary64) x)

Compiler

Compiled 92 to 70 computations (23.9% saved)

simplify7.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

32×	`lower-fma.f32`
28×	`lower-*.f32`
26×	`lower-fma.f64`
22×	`lower-*.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
0	18	55
1	26	55
2	33	55
3	35	55
0	35	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (1.7%)

Memory

1.4MiB live, 76.0MiB allocated

Localize:

Found 9 expressions of interest:

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

Samples

25.0ms

256×

valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (56.2% of total)

ival-add: 3.0ms (33.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

6 → 144

Calls

Call 1

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

Outputs
#<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)))>
#<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 (* 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>
#<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 (* -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>
#<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)))>

Calls

36 calls:

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

rewrite452.0ms (10.2%)

Memory

-11.7MiB live, 665.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 262×	`lower-fma.f32`
10 256×	`lower-fma.f64`
6 040×	`lower-*.f32`
6 034×	`lower-*.f64`
2 284×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	18	29
1	57	29
2	417	29
3	4623	29
0	8400	29

Stop Event

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

Counts

6 → 266

Calls

Call 1

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

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

simplify358.0ms (8.1%)

Memory

13.4MiB live, 437.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 856×	`lower-fma.f64`
9 856×	`lower-fma.f32`
3 882×	`lower-*.f64`
3 882×	`lower-*.f32`
2 490×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	792
1	252	792
2	704	792
3	1846	792
4	4127	792
5	7309	792
0	8425	720

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 137

Calls

Call 1

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

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

eval54.0ms (1.2%)

Memory: 7.0MiB live, 133.4MiB allocated
Compiler: Compiled 9 786 to 690 computations (92.9% saved)

prune137.0ms (3.1%)

Memory

-8.1MiB live, 74.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	450	0	450
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	450	5	455

Accuracy

100.0%

Counts

455 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
✓	68.8%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
✓	62.7%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	38.6%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	33.0%	(*.f64 #s(literal 1/8 binary64) x)

Compiler

Compiled 89 to 56 computations (37.1% saved)

regimes157.0ms (3.6%)

Memory

-20.6MiB live, 19.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

135.0ms	x
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	t
3.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
3.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

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)

regimes23.0ms (0.5%)

Memory

29.1MiB live, 29.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs
(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)) t)
(fma.f64 #s(literal 1/8 binary64) x t)

Calls

9 calls:

3.0ms	x
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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	y

Results

Accuracy	Segments	Branch
90.9%	3	`x`
86.8%	4	`y`
85.3%	3	`z`
86.1%	3	`t`
86.4%	5	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
88.2%	4	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
90.9%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
88.8%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
88.8%	3	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes49.0ms (1.1%)

Memory

-26.0MiB live, 13.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	(*.f64 y z)
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	x
2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
85.6%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
85.6%	3	`(*.f64 y z)`
87.1%	3	`x`
87.1%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`

Compiler

Compiled 30 to 24 computations (20% saved)

regimes18.0ms (0.4%)

Memory

33.0MiB live, 33.0MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
78.0%	3	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
76.5%	3	`y`
77.8%	3	`z`
83.0%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
83.0%	3	`(*.f64 y z)`
70.4%	3	`t`
79.1%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
67.7%	3	`x`
67.7%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes40.0ms (0.9%)

Memory

-35.4MiB live, 44.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) x)
(fma.f64 #s(literal 1/8 binary64) x t)

Outputs
(fma.f64 #s(literal 1/8 binary64) x t)

Calls

9 calls:

24.0ms	(*.f64 y z)
4.0ms	x
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	t
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Results

Accuracy	Segments	Branch
62.7%	1	`x`
62.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
62.7%	1	`t`
62.7%	1	`y`
62.7%	1	`z`
62.7%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
62.7%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
62.7%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
62.7%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes12.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) x)

Outputs
(*.f64 #s(literal 1/8 binary64) x)

Calls

9 calls:

1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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	y
1.0ms	t

Results

Accuracy	Segments	Branch
33.0%	1	`x`
33.0%	1	`y`
33.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
33.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
33.0%	1	`(*.f64 y z)`
33.0%	1	`z`
33.0%	1	`t`
33.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
33.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`

Compiler

Compiled 77 to 61 computations (20.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.4138607713025043e+42	1.034712050974405e+48
0.0ms	-6.347756175310532e+90	-2.906253380961517e+64

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.4138607713025043e+42	1.034712050974405e+48
0.0ms	-6.338316205670232e+129	-3.381640403078432e+127

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.023265282376138e+253	1.7556842685780737e+257
0.0ms	-8.835492853947649e+141	-3.5731956138501245e+124

Compiler

Compiled 20 to 20 computations (0% saved)

simplify10.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB 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	36	110
1	47	110
2	55	110
3	67	110
4	76	110
5	82	110
6	84	110

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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 10000000000000000139372116959414099130712064 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -5000000000000000298915391230258075925874645126169045354368179749161004102875565468155280170533300701722840996122161770682942226432 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 10000000000000000139372116959414099130712064 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (.f64 y z) #s(literal -5000000000000000254111424201498439852395544724254919894224604014435980857206176135039194186276980095645480143722890917165647288574234188578816 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (.f64 y z) #s(literal 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x 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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 10000000000000000139372116959414099130712064 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal 1/8 binary64))) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 10000000000000000139372116959414099130712064 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -5000000000000000298915391230258075925874645126169045354368179749161004102875565468155280170533300701722840996122161770682942226432 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 10000000000000000139372116959414099130712064 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (.f64 y z) #s(literal -5000000000000000254111424201498439852395544724254919894224604014435980857206176135039194186276980095645480143722890917165647288574234188578816 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (.f64 y z) #s(literal 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))

soundness670.0ms (15.2%)

Memory

-14.2MiB live, 259.9MiB 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 194 to 96 computations (50.5% saved)

preprocess72.0ms (1.6%)

Memory: 3.9MiB live, 164.2MiB allocated
Remove: (sort y z)
Compiler: Compiled 394 to 198 computations (49.7% 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	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

analyze0.0ms (0%)

sample1.0s (23.5%)

preprocess147.0ms (3.3%)

explain134.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify88.0ms (2%)

localize38.0ms (0.9%)

series20.0ms (0.4%)

rewrite387.0ms (8.8%)

simplify319.0ms (7.2%)

eval50.0ms (1.1%)

prune53.0ms (1.2%)

simplify7.0ms (0.2%)

localize75.0ms (1.7%)

series6.0ms (0.1%)

rewrite452.0ms (10.2%)

simplify358.0ms (8.1%)

eval54.0ms (1.2%)

prune137.0ms (3.1%)

regimes157.0ms (3.6%)

regimes23.0ms (0.5%)

regimes49.0ms (1.1%)

regimes18.0ms (0.4%)

regimes40.0ms (0.9%)

regimes12.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

soundness670.0ms (15.2%)

preprocess72.0ms (1.6%)

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