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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 15 computations (0% saved)

sample1.2s (30.7%)

Memory

2.6MiB live, 1 565.7MiB allocated

Samples

752.0ms	8 254×	0	valid
0.0ms	1×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 422.0ms

ival-mult: 118.0ms (28% of total)

ival-div: 112.0ms (26.6% of total)

ival-add: 100.0ms (23.7% of total)

ival-sub: 72.0ms (17.1% of total)

exact: 11.0ms (2.6% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain167.0ms (4.2%)

Memory

-22.8MiB live, 294.4MiB 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

39.0ms

512×

valid

Compiler

Compiled 111 to 43 computations (61.3% saved)

Precisions

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

ival-div: 7.0ms (34.9% of total)

ival-mult: 7.0ms (34.9% 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)

preprocess129.0ms (3.3%)

Memory

26.1MiB live, 100.6MiB 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 -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t))

Symmetry

(sort y z)

Compiler

Compiled 13 to 13 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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 13 to 13 computations (0% saved)

simplify26.0ms (0.6%)

Memory

1.7MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize46.0ms (1.2%)

Memory

-33.9MiB live, 59.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
accuracy	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy	0	(*.f64 y z)
accuracy	0.00390625	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))

Samples

30.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

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

ival-div: 7.0ms (53.8% of total)

ival-mult: 3.0ms (23.1% of total)

ival-sub: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

32.4MiB live, 32.5MiB allocated

Counts

6 → 144

Calls

Call 1

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

Outputs
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t)))) (taylor inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt t (taylor -inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1))) (taylor -inf t) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y))) (taylor inf z) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
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#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor 0 x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #<representation:binary64>) () ())) ())

Calls

12 calls:

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

simplify155.0ms (3.9%)

Memory

3.3MiB live, 273.1MiB 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	242	958
2	634	958
3	1915	958
4	5132	958
0	8095	855

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

Calls

Call 1

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

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

rewrite262.0ms (6.6%)

Memory

-22.0MiB live, 340.4MiB allocated

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)
(.f64 (.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) z))
(.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 1/2 binary64) z))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) y) z)
(.f64 (neg.f64 y) (.f64 z #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 y) z))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(.f64 (neg.f64 z) (.f64 y #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(.f64 (.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) z) y)
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 z y))
(.f64 (.f64 (neg.f64 y) z) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 1 binary64))
(.f64 (.f64 z y) #s(literal 1/2 binary64))
(.f64 z (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(.f64 z (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64))
(/.f64 (*.f64 z y) #s(literal 2 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y)))
(neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 z y))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t)))
(.f64 (/.f64 (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) t) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) t) (-.f64 (.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) t) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal 4 binary64))))
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(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/8 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 z y)))
(-.f64 (.f64 (.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))) (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))
(-.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(+.f64 (.f64 (.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))) (neg.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 z y)) x (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(.f64 (.f64 #s(literal 1 binary64) z) y)
(.f64 (.f64 #s(literal 1 binary64) y) z)
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) z))
(.f64 (.f64 z y) #s(literal 1 binary64))
(.f64 z (.f64 y #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(.f64 y (.f64 z #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(.f64 #s(literal 1 binary64) (.f64 z y))
(neg.f64 (*.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z))
(.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/8 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/8 binary64)))

eval59.0ms (1.5%)

Memory: 22.3MiB live, 137.3MiB allocated
Compiler: Compiled 9 707 to 875 computations (91% saved)

prune11.0ms (0.3%)

Memory

-1.0MiB live, 36.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

423 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
▶	68.7%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
▶	67.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))
▶	36.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
▶	33.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Compiler

Compiled 62 to 80 computations (-29% saved)

simplify39.0ms (1%)

Memory

-3.7MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 z y))
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
cost-diff	0	(fma.f64 x #s(literal 1/8 binary64) t)
cost-diff	0	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	141
0	35	141
1	55	136
2	86	136
3	138	136
4	219	136
5	356	136
6	516	136
7	690	136
8	820	136
9	822	136
0	822	131

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (2.2%)

Memory

-7.6MiB live, 114.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 x #s(literal 1/8 binary64))
accuracy	0.00390625	(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
accuracy	21.149082361629855	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))
accuracy	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	22.4908150994538	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
accuracy	0	(*.f64 z y)
accuracy	0	(.f64 #s(literal -1/2 binary64) (.f64 z y))
accuracy	42.889151463340916	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
accuracy	0	(*.f64 x #s(literal 1/8 binary64))
accuracy	40.78750978829517	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
accuracy	0	(fma.f64 x #s(literal 1/8 binary64) t)
accuracy	20.024442880486973	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))

Samples

72.0ms

256×

valid

Compiler

Compiled 125 to 25 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (48.4% of total)

ival-add: 8.0ms (32.3% of total)

ival-div: 3.0ms (12.1% of total)

ival-sub: 1.0ms (4% of total)

exact: 1.0ms (4% of total)

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

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

series25.0ms (0.6%)

Memory

25.9MiB live, 64.0MiB allocated

Counts

12 → 408

Calls

Call 1

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

Outputs
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 t) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/8 x) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 t) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
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#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/8 (* -1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/8 binary64) t) (patch (fma.f64 x #s(literal 1/8 binary64) t) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 x #s(literal 1/8 binary64))) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/8 binary64)) (patch (.f64 x #s(literal 1/8 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #<representation:binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)))
1.0ms	z	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)))
1.0ms	z	@	inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)))
1.0ms	z	@	0	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)))
1.0ms	y	@	-inf	((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* x 1/8) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* x 1/8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* x 1/8)))

simplify248.0ms (6.3%)

Memory

-1.3MiB live, 196.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 946×	`lower-fma.f64`
6 946×	`lower-fma.f32`
3 216×	`lower-*.f64`
3 216×	`lower-*.f32`
1 758×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	3114
1	369	3114
2	1058	3114
3	3042	3114
4	6289	3114
0	8294	2662

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 391

Calls

Call 1

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

rewrite284.0ms (7.2%)

Memory

-40.6MiB live, 372.6MiB allocated

Rules

16 282×	`lower-fma.f32`
16 276×	`lower-fma.f64`
5 556×	`lower-*.f32`
5 548×	`lower-*.f64`
3 286×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	118
0	35	118
1	131	113
2	909	113
0	9069	108

Stop Event

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

Counts

12 → 237

Calls

Call 1

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

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
(.f64 (fma.f64 t t (.f64 #s(literal -1/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 t (.f64 x #s(literal 1/8 binary64)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) t))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (.f64 x #s(literal 1/8 binary64)) t) (.f64 (.f64 x #s(literal 1/8 binary64)) t)))))
(.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 t t)) (pow.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 t (.f64 x #s(literal 1/8 binary64))) (.f64 (.f64 x #s(literal 1/8 binary64)) t))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 x #s(literal 1/8 binary64)) t) (.f64 (.f64 x #s(literal 1/8 binary64)) t)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t))) (.f64 (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)))) (+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (fma.f64 (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))))
(/.f64 (neg.f64 (fma.f64 t t (.f64 #s(literal -1/64 binary64) (.f64 x x)))) (neg.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 t t)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 x #s(literal 1/8 binary64)) t) (.f64 (*.f64 x #s(literal 1/8 binary64)) t)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) t) (.f64 t t))) (.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(/.f64 (fma.f64 t t (.f64 #s(literal -1/64 binary64) (.f64 x x))) (-.f64 t (*.f64 x #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 t t))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 t (.f64 x #s(literal 1/8 binary64))) (.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 x #s(literal 1/8 binary64)) t) (.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 t t)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (-.f64 (hypot.f64 t (.f64 x #s(literal 1/8 binary64))) (.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 x #s(literal 1/8 binary64)) t) (.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (.f64 x #s(literal 1/8 binary64))) (fma.f64 t t (.f64 #s(literal -1/64 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 t (.f64 x #s(literal 1/8 binary64))) (.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 t t))) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (-.f64 (hypot.f64 (.f64 x #s(literal 1/8 binary64)) t) (.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (.f64 t t)) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (neg.f64 (-.f64 (hypot.f64 (.f64 x #s(literal 1/8 binary64)) t) (.f64 (*.f64 x #s(literal 1/8 binary64)) t)))))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) t)
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
(-.f64 (/.f64 (.f64 t t) (-.f64 t (.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 t (.f64 x #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)))
(+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/8 binary64)) t)) (neg.f64 (/.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/8 binary64)) t))))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) t)
(+.f64 t (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(.f64 (.f64 #s(literal -1/2 binary64) y) z)
(.f64 (.f64 y #s(literal -1/2 binary64)) z)
(.f64 (neg.f64 y) (.f64 z #s(literal 1/2 binary64)))
(.f64 (neg.f64 z) (.f64 y #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(.f64 (.f64 z #s(literal 1/2 binary64)) (neg.f64 y))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 y) z))
(.f64 (.f64 (neg.f64 y) z) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) z) y)
(.f64 #s(literal -1/2 binary64) (.f64 z y))
(.f64 (.f64 z y) #s(literal -1/2 binary64))
(.f64 z (neg.f64 (.f64 y #s(literal 1/2 binary64))))
(.f64 z (.f64 #s(literal -1/2 binary64) y))
(.f64 z (.f64 y #s(literal -1/2 binary64)))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 z y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y)))
(/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 z y))))))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64))
(/.f64 (*.f64 z y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y)))
(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 z y)))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(.f64 (.f64 #s(literal 1 binary64) z) y)
(.f64 (.f64 #s(literal 1 binary64) y) z)
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) z))
(.f64 (.f64 z y) #s(literal 1 binary64))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(.f64 #s(literal 1 binary64) (.f64 z y))
(neg.f64 (*.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(.f64 (fma.f64 t t (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 t (.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) t) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) t)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 2 binary64)) (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/2 binary64)) y t)))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 z y)) t))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 2 binary64)) (.f64 t t)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z #s(literal 1/2 binary64)) y t)))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 t (.f64 #s(literal -1/2 binary64) (.f64 z y))) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 z y)) t))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) t) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 z y)) t)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y)))) (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y)))) (.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y))) (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (.f64 (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64)))) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 x #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) x) x (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (*.f64 x #s(literal 1/8 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 x x))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 x #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 x #s(literal 1/8 binary64)))))
(neg.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 z y))))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) z (.f64 x #s(literal 1/8 binary64)))
(fma.f64 (neg.f64 y) (.f64 z #s(literal 1/2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 (neg.f64 z) (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 z #s(literal 1/2 binary64)) (neg.f64 y) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 y) z) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y))))))
(fma.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y))))))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) z) y (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 (.f64 z y) #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (neg.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (.f64 #s(literal -1/2 binary64) y) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (.f64 #s(literal -1/2 binary64) z) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 z y)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y)))) (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))
(-.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (.f64 z y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y))))))
(+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (.f64 #s(literal -1/2 binary64) (*.f64 z y))))))
(+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (.f64 x #s(literal 1/8 binary64))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 z y)) (hypot.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 z y)))

eval84.0ms (2.1%)

Memory: 12.7MiB live, 237.0MiB allocated
Compiler: Compiled 8 386 to 796 computations (90.5% saved)

prune83.0ms (2.1%)

Memory

-11.7MiB live, 162.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	682	0	682
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	682	5	687

Accuracy

100.0%

Counts

687 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
✓	68.7%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
✓	67.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))
✓	36.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
✓	33.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))

Compiler

Compiled 75 to 67 computations (10.7% saved)

regimes122.0ms (3.1%)

Memory

26.2MiB live, 70.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

100.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
3.0ms	t
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes35.0ms (0.9%)

Memory

-0.8MiB live, 77.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

13.0ms	(*.f64 y z)
4.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
88.1%	3	`x`
86.3%	3	`y`
85.0%	3	`z`
88.5%	3	`t`
80.8%	3	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
87.5%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
88.1%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
92.7%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
92.7%	3	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes57.0ms (1.4%)

Memory

-28.7MiB live, 10.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

54.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
91.6%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
91.6%	3	`(*.f64 y z)`

Compiler

Compiled 8 to 12 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.2%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
89.2%	3	`(*.f64 y z)`

Compiler

Compiled 8 to 12 computations (-50% saved)

regimes17.0ms (0.4%)

Memory

-1.9MiB live, 39.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

9 calls:

3.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
2.0ms	(*.f64 y z)
2.0ms	z
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Results

Accuracy	Segments	Branch
68.7%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
68.7%	1	`z`
68.7%	1	`y`
68.7%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
68.7%	1	`x`
68.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
68.7%	1	`t`
68.7%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
68.7%	1	`(*.f64 y z)`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes14.0ms (0.3%)

Memory

-1.5MiB live, 38.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

2.0ms	x
1.0ms	t
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
1.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
36.3%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
36.3%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
36.3%	1	`x`
36.3%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
36.3%	1	`z`
36.3%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
36.3%	1	`(*.f64 y z)`
36.3%	1	`y`
36.3%	1	`t`

Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	11093246574.14362	471945519727.3304
0.0ms	-0.21872570551064505	-0.0005697400236868759

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.926576346468657e+178	3.215089504648029e+201
0.0ms	-0.21872570551064505	-0.0005697400236868759

Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.926576346468657e+178	3.215089504648029e+201
0.0ms	-8.899864190685441e+112	-3.0293079092139043e+108

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify68.0ms (1.7%)

Memory

-11.6MiB live, 66.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
14×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
10×	`neg-sub0-binary64--.f64-neg.f64`
10×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	235
1	58	235
2	66	235
3	78	235
4	87	235
5	93	235
6	95	235

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(if (<=.f64 (.f64 y z) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 20000000000 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (.f64 y z) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 99999999999999998045549773481514159457876389246726271914145983150114005386328272459269439234497983649422148597943950338419997003168440244384097290815044070304544781216945608327168 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (if (<=.f64 (.f64 y z) #s(literal 99999999999999998045549773481514159457876389246726271914145983150114005386328272459269439234497983649422148597943950338419997003168440244384097290815044070304544781216945608327168 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (.f64 x (/.f64 #s(literal 1 binary64) #s(literal 8 binary64))) (/.f64 (.f64 z y) #s(literal 2 binary64))))
(if (<=.f64 (.f64 y z) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 20000000000 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 x #s(literal 1/8 binary64))))))
(if (<=.f64 (.f64 z y) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 z y) #s(literal 20000000000 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (.f64 z y) (.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (.f64 y z) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 y z) #s(literal 99999999999999998045549773481514159457876389246726271914145983150114005386328272459269439234497983649422148597943950338419997003168440244384097290815044070304544781216945608327168 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
(if (<=.f64 (.f64 z y) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (.f64 #s(literal -1/2 binary64) z) y t)) (if (<=.f64 (.f64 z y) #s(literal 99999999999999998045549773481514159457876389246726271914145983150114005386328272459269439234497983649422148597943950338419997003168440244384097290815044070304544781216945608327168 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (if (<=.f64 (.f64 y z) #s(literal 99999999999999998045549773481514159457876389246726271914145983150114005386328272459269439234497983649422148597943950338419997003168440244384097290815044070304544781216945608327168 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
(if (<=.f64 (.f64 z y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y))) (if (<=.f64 (.f64 z y) #s(literal 99999999999999998045549773481514159457876389246726271914145983150114005386328272459269439234497983649422148597943950338419997003168440244384097290815044070304544781216945608327168 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal -1/2 binary64) (.f64 z y)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

soundness645.0ms (16.3%)

Memory

11.3MiB live, 295.6MiB 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	242	958
2	634	958
3	1915	958
4	5132	958
0	8095	855

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 163 to 106 computations (35% saved)

preprocess57.0ms (1.4%)

Memory: 4.5MiB live, 164.4MiB allocated
Remove: (sort y z)
Compiler: Compiled 354 to 204 computations (42.4% 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	27	141
0	35	141
1	55	136
2	86	136
3	138	136
4	219	136
5	356	136
6	516	136
7	690	136
8	820	136
9	822	136
0	822	131

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

Iter	Nodes	Cost
0	27	141
0	35	141
1	55	136
2	86	136
3	138	136
4	219	136
5	356	136
6	516	136
7	690	136
8	820	136
9	822	136
0	822	131

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (30.7%)

explain167.0ms (4.2%)

preprocess129.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.6%)

localize46.0ms (1.2%)

series13.0ms (0.3%)

simplify155.0ms (3.9%)

rewrite262.0ms (6.6%)

eval59.0ms (1.5%)

prune11.0ms (0.3%)

simplify39.0ms (1%)

localize88.0ms (2.2%)

series25.0ms (0.6%)

simplify248.0ms (6.3%)

rewrite284.0ms (7.2%)

eval84.0ms (2.1%)

prune83.0ms (2.1%)

regimes122.0ms (3.1%)

regimes35.0ms (0.9%)

regimes57.0ms (1.4%)

regimes4.0ms (0.1%)

regimes17.0ms (0.4%)

regimes14.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (1.7%)

soundness645.0ms (16.3%)

preprocess57.0ms (1.4%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	27	141
0	35	141
1	55	136
2	86	136
3	138	136
4	219	136
5	356	136
6	516	136
7	690	136
8	820	136
9	822	136
0	822	131