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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.1s (19%)

Memory

44.3MiB live, 1 013.5MiB allocated

Samples

675.0ms	8 255×	0	valid
0.0ms	1×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-div: 219.0ms (50.5% of total)

ival-mult: 110.0ms (25.4% of total)

ival-add: 49.0ms (11.3% of total)

ival-sub: 37.0ms (8.5% of total)

exact: 10.0ms (2.3% of total)

ival-true: 5.0ms (1.2% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess146.0ms (2.6%)

Memory

-11.8MiB live, 65.7MiB allocated

Algorithm

1×	egg-herbie

Rules

704×	`accelerator-lowering-fma.f32`
704×	`accelerator-lowering-fma.f64`
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	14	11
1	25	11
2	51	11
3	102	11
4	183	11
5	311	11
6	486	11
7	669	11
8	799	11
9	801	11
0	801	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort y z)

explain184.0ms (3.3%)

Memory

4.6MiB live, 163.1MiB 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

46.0ms

512×

valid

Compiler

Compiled 132 to 56 computations (57.6% saved)

Precisions

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

ival-mult: 9.0ms (42.5% of total)

ival-div: 7.0ms (33% of total)

ival-sub: 2.0ms (9.4% of total)

ival-add: 2.0ms (9.4% of total)

exact: 1.0ms (4.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify55.0ms (1%)

Memory

-7.8MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

704×	`accelerator-lowering-fma.f32`
704×	`accelerator-lowering-fma.f64`
320×	`-lowering-.f32`
320×	`-lowering-.f64`
160×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	25	39
2	51	39
3	102	39
4	183	39
5	311	39
6	486	39
7	669	39
8	799	39
9	801	39
0	801	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize42.0ms (0.8%)

Memory

22.2MiB live, 59.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

31.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

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

ival-mult: 15.0ms (72.2% of total)

ival-div: 3.0ms (14.4% of total)

ival-sub: 1.0ms (4.8% of total)

ival-add: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-12.1MiB live, 26.2MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite436.0ms (7.8%)

Memory

16.2MiB live, 643.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 930×	`accelerator-lowering-fma.f32`
8 930×	`accelerator-lowering-fma.f64`
4 970×	`-lowering-.f32`
4 970×	`-lowering-.f64`
2 730×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	59	32
2	497	32
3	6456	32
0	8536	29

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 282

Calls

Call 1

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

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

simplify392.0ms (7%)

Memory

8.0MiB live, 479.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 994×	`accelerator-lowering-fma.f32`
10 994×	`accelerator-lowering-fma.f64`
2 884×	`-lowering-.f32`
2 884×	`-lowering-.f64`
1 240×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval57.0ms (1%)

Memory: -11.2MiB live, 157.1MiB allocated
Compiler: Compiled 11 828 to 864 computations (92.7% saved)

prune50.0ms (0.9%)

Memory

-17.8MiB live, 141.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	420	6	426
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	421	6	427

Accuracy

100.0%

Counts

427 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.0%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
	65.3%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
▶	68.0%	(fma.f64 #s(literal 1/8 binary64) x t)
▶	33.9%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
▶	36.2%	(*.f64 #s(literal 1/8 binary64) x)
▶	33.6%	t

Compiler

Compiled 102 to 78 computations (23.5% saved)

simplify5.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
20×	`accelerator-lowering-fma.f32`
20×	`accelerator-lowering-fma.f64`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	18	45
2	25	45
3	27	45
0	27	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (0.6%)

Memory

-17.8MiB live, 103.5MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.9% of total)

ival-add: 2.0ms (24.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite434.0ms (7.8%)

Memory

6.2MiB live, 735.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 942×	`accelerator-lowering-fma.f32`
6 942×	`accelerator-lowering-fma.f64`
4 800×	`-lowering-.f32`
4 800×	`-lowering-.f64`
4 026×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	41	25
2	317	25
3	3398	25
0	8606	23

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 267

Calls

Call 1

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

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

simplify449.0ms (8%)

Memory

-6.4MiB live, 678.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 882×	`accelerator-lowering-fma.f32`
16 882×	`accelerator-lowering-fma.f64`
3 486×	`-lowering-.f32`
3 486×	`-lowering-.f64`
1 402×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	574
1	174	574
2	453	574
3	1137	574
4	2579	574
5	5251	574
0	8302	529

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval50.0ms (0.9%)

Memory: -22.1MiB live, 142.0MiB allocated
Compiler: Compiled 12 005 to 794 computations (93.4% saved)

prune44.0ms (0.8%)

Memory

32.2MiB live, 149.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	408	0	408
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	408	6	414

Accuracy

100.0%

Counts

414 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.0%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
▶	65.3%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
✓	68.0%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	33.9%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	36.2%	(*.f64 #s(literal 1/8 binary64) x)
✓	33.6%	t

Compiler

Compiled 51 to 39 computations (23.5% saved)

simplify107.0ms (1.9%)

Memory

-34.1MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`
10×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	12	14
2	19	14
3	21	14
0	21	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

22.6MiB live, 22.6MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (63.1% of total)

ival-add: 1.0ms (21% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (+ (* y (* z -1/2)) t)>
#<alt (* z -1/2)>

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

Calls

12 calls:

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

rewrite717.0ms (12.9%)

Memory

4.6MiB live, 834.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 418×	`accelerator-lowering-fma.f32`
12 418×	`accelerator-lowering-fma.f64`
4 308×	`-lowering-.f32`
4 308×	`-lowering-.f64`
3 986×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	25	10
2	176	10
3	1825	10
0	8338	9

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 165

Calls

Call 1

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

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

simplify168.0ms (3%)

Memory

0.7MiB live, 224.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 244×	`accelerator-lowering-fma.f32`
3 244×	`accelerator-lowering-fma.f64`
2 282×	`-lowering-.f32`
2 282×	`-lowering-.f64`
1 688×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	254
1	114	254
2	312	254
3	837	254
4	2140	254
5	4840	254
6	7134	254
7	7961	254
0	8146	227

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval33.0ms (0.6%)

Memory: -18.6MiB live, 47.1MiB allocated
Compiler: Compiled 9 455 to 478 computations (94.9% saved)

prune31.0ms (0.6%)

Memory

-0.9MiB live, 76.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	213	6	219

Accuracy

100.0%

Counts

219 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.0%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
✓	65.3%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
✓	68.0%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	33.9%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	36.2%	(*.f64 #s(literal 1/8 binary64) x)
✓	33.6%	t

Compiler

Compiled 95 to 60 computations (36.8% saved)

regimes29.0ms (0.5%)

Memory

27.7MiB live, 66.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

9 calls:

5.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
3.0ms	y
3.0ms	t
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Results

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

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes31.0ms (0.5%)

Memory

-37.1MiB live, 45.4MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

9 calls:

6.0ms	(*.f64 y z)
5.0ms	x
3.0ms	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)))

Results

Accuracy	Segments	Branch
89.5%	4	`x`
89.2%	4	`y`
83.8%	3	`z`
90.6%	4	`t`
80.8%	4	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
88.0%	4	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
89.5%	4	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
90.9%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
90.9%	3	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.7%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
89.7%	3	`(*.f64 y z)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes18.0ms (0.3%)

Memory

-5.5MiB live, 32.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	y
2.0ms	t
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
78.2%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
80.6%	3	`y`
68.0%	1	`x`
68.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
73.2%	3	`t`
85.5%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
85.5%	3	`(*.f64 y z)`

Compiler

Compiled 55 to 44 computations (20% saved)

regimes18.0ms (0.3%)

Memory

33.3MiB live, 33.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
68.0%	1	`x`
68.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
68.0%	1	`t`
68.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
68.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
68.0%	1	`y`
68.0%	1	`z`
68.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
68.0%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes27.0ms (0.5%)

Memory

-13.2MiB live, 24.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
44.1%	4	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
44.1%	4	`(*.f64 y z)`
56.0%	3	`x`
43.6%	4	`y`
40.0%	2	`z`
53.6%	3	`t`
41.2%	3	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
53.9%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
56.0%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes36.0ms (0.6%)

Memory

-20.7MiB live, 22.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
t

Outputs
t

Calls

9 calls:

25.0ms	z
1.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
1.0ms	t

Results

Accuracy	Segments	Branch
33.6%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
33.6%	1	`z`
33.6%	1	`y`
33.6%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
33.6%	1	`(*.f64 y z)`
33.6%	1	`t`
33.6%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
33.6%	1	`x`
33.6%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.98867029491381e-68	5.0642698544570955e-68
0.0ms	-4.6400599866797375e+76	-4.033419673241768e+75

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.98867029491381e-68	5.0642698544570955e-68
0.0ms	-1.4324587135041994e+119	-6.974153132466056e+115

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2711204270795021e+162	3.958165925454134e+166
0.0ms	-1.4324587135041994e+119	-6.974153132466056e+115

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.857843034916339e+112	5.8509359449102255e+113
0.0ms	-5.064872100731288e+106	-1.8278453995177273e+105

Compiler

Compiled 20 to 20 computations (0% saved)

simplify11.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	114
1	60	114
2	68	114
3	80	114
4	89	114
5	95	114
6	97	114

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 -40000000000000001882405379836218783566238405631466523057114838139592998125568 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (.f64 y z) #s(literal 6070840288205403/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (.f64 y z) #s(literal -99999999999999994416755247254933381274972870380190006824232035607637985622760311004411949604741731366073618283536318464 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 (.f64 y z) #s(literal 6070840288205403/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (.f64 y z) #s(literal -99999999999999994416755247254933381274972870380190006824232035607637985622760311004411949604741731366073618283536318464 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (.f64 y z) #s(literal 1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x t)
(if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -49999999999999998440692023514963491717685634530639844703322105876395762568335322697627001197697942402629632 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) t (.f64 #s(literal 1/8 binary64) x)))
t

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(if (<=.f64 (.f64 y z) #s(literal -40000000000000001882405379836218783566238405631466523057114838139592998125568 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (if (<=.f64 (.f64 y z) #s(literal 6070840288205403/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (.f64 y z) #s(literal -40000000000000001882405379836218783566238405631466523057114838139592998125568 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal 1/8 binary64))) (if (<=.f64 (.f64 y z) #s(literal 6070840288205403/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (.f64 y z) #s(literal -99999999999999994416755247254933381274972870380190006824232035607637985622760311004411949604741731366073618283536318464 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 (.f64 y z) #s(literal 6070840288205403/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 (.f64 y z) #s(literal -99999999999999994416755247254933381274972870380190006824232035607637985622760311004411949604741731366073618283536318464 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (.f64 y z) #s(literal 1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x t)
(if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -49999999999999998440692023514963491717685634530639844703322105876395762568335322697627001197697942402629632 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) t (.f64 #s(literal 1/8 binary64) x)))
(if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -49999999999999998440692023514963491717685634530639844703322105876395762568335322697627001197697942402629632 binary64)) (.f64 x #s(literal 1/8 binary64)) (if (<=.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) t (.f64 x #s(literal 1/8 binary64))))
t

soundness776.0ms (13.9%)

Memory

5.1MiB live, 271.1MiB allocated

Rules

10 994×	`accelerator-lowering-fma.f32`
10 994×	`accelerator-lowering-fma.f64`
2 884×	`-lowering-.f32`
2 884×	`-lowering-.f64`
1 240×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 219 to 108 computations (50.7% saved)

preprocess93.0ms (1.7%)

Memory: 5.6MiB live, 130.5MiB allocated
Remove: (sort y z)
Compiler: Compiled 390 to 180 computations (53.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	39
1	25	39
2	51	39
3	102	39
4	183	39
5	311	39
6	486	39
7	669	39
8	799	39
9	801	39
0	801	36

Iter	Nodes	Cost
0	14	39
1	25	39
2	51	39
3	102	39
4	183	39
5	311	39
6	486	39
7	669	39
8	799	39
9	801	39
0	801	36

analyze0.0ms (0%)

sample1.1s (19%)

preprocess146.0ms (2.6%)

explain184.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify55.0ms (1%)

localize42.0ms (0.8%)

series13.0ms (0.2%)

rewrite436.0ms (7.8%)

simplify392.0ms (7%)

eval57.0ms (1%)

prune50.0ms (0.9%)

simplify5.0ms (0.1%)

localize36.0ms (0.6%)

series3.0ms (0.1%)

rewrite434.0ms (7.8%)

simplify449.0ms (8%)

eval50.0ms (0.9%)

prune44.0ms (0.8%)

simplify107.0ms (1.9%)

localize19.0ms (0.3%)

series2.0ms (0%)

rewrite717.0ms (12.9%)

simplify168.0ms (3%)

eval33.0ms (0.6%)

prune31.0ms (0.6%)

regimes29.0ms (0.5%)

regimes31.0ms (0.5%)

regimes5.0ms (0.1%)

regimes18.0ms (0.3%)

regimes18.0ms (0.3%)

regimes27.0ms (0.5%)

regimes36.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

soundness776.0ms (13.9%)

preprocess93.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	39
1	25	39
2	51	39
3	102	39
4	183	39
5	311	39
6	486	39
7	669	39
8	799	39
9	801	39
0	801	36