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)

sample919.0ms (18.3%)

Memory

11.0MiB live, 1 306.5MiB allocated

Samples

612.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 381.0ms

ival-mult: 125.0ms (32.8% of total)

ival-div: 124.0ms (32.6% of total)

ival-add: 72.0ms (18.9% of total)

ival-sub: 40.0ms (10.5% of total)

exact: 11.0ms (2.9% of total)

ival-true: 6.0ms (1.6% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess142.0ms (2.8%)

Memory

7.1MiB live, 119.3MiB allocated

Algorithm

2×	egg-herbie

Rules

704×	`accelerator-lowering-fma.f32`
704×	`accelerator-lowering-fma.f64`
644×	`sub-neg`
348×	`unsub-neg`
342×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	175
1	164	166
2	405	165
3	1036	165
4	2181	165
5	2917	165
6	3116	165
7	3141	165
8	3150	165
9	3150	165
10	3152	165
11	3158	165
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))

Call 2

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

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

Symmetry

(sort y z)

explain210.0ms (4.2%)

Memory

11.7MiB live, 312.8MiB 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

100.0ms

512×

valid

Compiler

Compiled 132 to 56 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 31.0ms (70.1% of total)

ival-div: 7.0ms (15.8% of total)

ival-sub: 2.0ms (4.5% of total)

ival-add: 2.0ms (4.5% of total)

exact: 1.0ms (2.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify60.0ms (1.2%)

Memory

-3.3MiB live, 36.0MiB 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

localize37.0ms (0.7%)

Memory

-0.1MiB live, 80.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

25.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

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

ival-div: 5.0ms (42.8% of total)

ival-mult: 3.0ms (25.7% of total)

ival-sub: 1.0ms (8.6% of total)

ival-add: 1.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-10.0MiB live, 27.8MiB 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
2.0ms	x	@	0	(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
1.0ms	x	@	inf	(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
1.0ms	z	@	0	(/ (* y z) 2)
1.0ms	y	@	0	(/ (* y z) 2)
1.0ms	y	@	inf	(/ (* y z) 2)

rewrite475.0ms (9.5%)

Memory

-4.4MiB live, 753.8MiB 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)))
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(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/512 binary64) (.f64 x (*.f64 x x)))))
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(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 x (*.f64 x #s(literal 1/64 binary64))))))
(.f64 (fma.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))))
(.f64 (fma.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal -1/2 binary64))) (fma.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 x (*.f64 x #s(literal 1/64 binary64))))))
(.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 #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)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (fma.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64)))))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/8 binary64) 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 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
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(.f64 (/.f64 (fma.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) (fma.f64 y (.f64 (.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))
(-.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))

simplify270.0ms (5.4%)

Memory

-1.6MiB live, 593.3MiB 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)

eval86.0ms (1.7%)

Memory: 39.2MiB live, 114.2MiB allocated
Compiler: Compiled 11 828 to 864 computations (92.7% saved)

prune68.0ms (1.4%)

Memory

-32.9MiB live, 99.2MiB 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
	65.8%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
▶	69.5%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
▶	64.3%	(fma.f64 #s(literal 1/8 binary64) x t)
▶	36.7%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
▶	31.4%	(*.f64 #s(literal 1/8 binary64) x)
▶	34.0%	t

Compiler

Compiled 102 to 78 computations (23.5% saved)

simplify5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 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 z #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	18	39
2	25	39
3	27	39
0	27	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize61.0ms (1.2%)

Memory

-7.6MiB live, 69.0MiB allocated

Localize:

Found 6 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)) t)
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))

Samples

49.0ms

256×

valid

Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 33.0ms (92.4% of total)

ival-add: 2.0ms (5.6% 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

7.0MiB live, 7.0MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#<alt (+ (* y (* z -1/2)) t)>
#<alt (* z -1/2)>
#<alt (* 1/8 x)>
#<alt (+ (* 1/8 x) t)>
#<alt (* y (* 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)>
#<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)) t)
0.0ms	z	@	0	(* z -1/2)
0.0ms	t	@	0	(+ (* y (* z -1/2)) t)

rewrite502.0ms (10%)

Memory

-2.9MiB live, 557.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 266×	`accelerator-lowering-fma.f32`
7 266×	`accelerator-lowering-fma.f64`
4 880×	`-lowering-.f32`
4 880×	`-lowering-.f64`
4 002×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	41	23
2	305	23
3	3181	23
0	8849	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 291

Calls

Call 1

Inputs
(+ (* y (* z -1/2)) t)
(* 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))) t)
(+.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64))))
(+.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))) (neg.f64 (/.f64 (.f64 t t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 t)))))
(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 (.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 (.f64 t t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 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 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (.f64 t (.f64 t t)))) (fma.f64 (.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))) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (.f64 t (.f64 t t)))) (fma.f64 (.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 z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))) (fma.f64 (.f64 t t) (fma.f64 y (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 z z))) (.f64 t t)) (.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 z #s(literal -1/2 binary64)) (neg.f64 t))) (/.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))) (fma.f64 (.f64 t t) (fma.f64 y (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 z z))) (.f64 t t)) (.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 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)))) (/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 t (.f64 t t))) (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 #s(literal 0 binary64) (fma.f64 (.f64 y z) #s(literal 1/2 binary64) (neg.f64 (neg.f64 t)))) (/.f64 (fma.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 t (neg.f64 t))) (fma.f64 (.f64 y z) #s(literal 1/2 binary64) (neg.f64 (neg.f64 t)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y 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 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (.f64 t (.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)) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (.f64 t (*.f64 t t))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.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 (.f64 t t) (fma.f64 y (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 z z))) (.f64 t t)) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 y (.f64 z (.f64 y z)))))))) (/.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 (.f64 t t) (fma.f64 y (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 z z))) (.f64 t t)) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 y (.f64 z (*.f64 y z)))))))))
(-.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 (.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 (/.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 (.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))))) (fma.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 (.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))) (fma.f64 (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))) (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))) (.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 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))))) (/.f64 (.f64 (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))) (.f64 (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))) (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))) (fma.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 (.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))) (fma.f64 (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))) (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))) (.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 (.f64 t t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))))))
(-.f64 (/.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 (.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)))) (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))) (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))) (/.f64 (.f64 (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))) (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 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))) (/.f64 (.f64 t t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 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 t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 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)
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(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t)))) (.f64 (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))) (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t)))))) (neg.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))) (/.f64 (.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))))))
(/.f64 (neg.f64 (.f64 (fma.f64 t (.f64 t t) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))) (.f64 #s(literal 1/134217728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))))) (neg.f64 (fma.f64 (.f64 t (.f64 t t)) (-.f64 (.f64 t (.f64 t t)) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/262144 binary64))) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))))) (neg.f64 (-.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (.f64 t (.f64 t t)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/262144 binary64))) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))))) (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 t t) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (*.f64 t t))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 t (.f64 t (.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (*.f64 t t))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (fma.f64 t t (.f64 #s(literal -1/64 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t)))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) x t) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t)) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))))
(.f64 (fma.f64 t (.f64 t t) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))))
(.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 (fma.f64 #s(literal 1/8 binary64) x t) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))))
(.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (*.f64 x #s(literal 1/64 binary64))))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))))
(.f64 (neg.f64 (fma.f64 t (.f64 t t) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))))
(.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x t))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (fma.f64 t (.f64 t t) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (.f64 t t) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))) (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 t t)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 t t))) #s(literal -1 binary64)))
(.f64 (fma.f64 t t (.f64 #s(literal -1/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 t (.f64 #s(literal 1/8 binary64) x))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 t t)) (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (*.f64 t t))) (fma.f64 #s(literal 1/8 binary64) x t))
(.f64 (/.f64 (fma.f64 t (.f64 t t) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 t (.f64 t t)) (.f64 (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (-.f64 t (.f64 #s(literal 1/8 binary64) x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/262144 binary64))))) (fma.f64 (.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x))) (-.f64 (.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 t (.f64 t t) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 t (.f64 (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 t t)) (-.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (.f64 t (.f64 t t)))) (fma.f64 t (fma.f64 #s(literal 1/8 binary64) x t) (.f64 x (*.f64 x #s(literal 1/64 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/262144 binary64))) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 t t) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (*.f64 t t))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x (neg.f64 t)) (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)) (neg.f64 (.f64 t (.f64 t (.f64 t t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (*.f64 t t))))
(.f64 (pow.f64 (/.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))) (.f64 #s(literal 1/134217728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t (.f64 t t)) (-.f64 (.f64 t (.f64 t t)) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/262144 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.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 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (.f64 t (.f64 t t)))))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(.f64 z (.f64 y #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y z) #s(literal 1 binary64)))
(.f64 (.f64 z #s(literal -1/2 binary64)) y)
(.f64 (.f64 y z) #s(literal -1/2 binary64))
(.f64 (.f64 y #s(literal -1/2 binary64)) z)
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y z) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(.f64 (exp.f64 (log.f64 (.f64 z #s(literal -1/2 binary64)))) (exp.f64 (log.f64 y)))
(.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))))

simplify205.0ms (4.1%)

Memory

-12.7MiB live, 264.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 424×	`accelerator-lowering-fma.f32`
3 424×	`accelerator-lowering-fma.f64`
2 442×	`-lowering-.f32`
2 442×	`-lowering-.f64`
1 182×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	512
1	169	512
2	440	512
3	1212	512
4	3011	512
5	5359	512
6	6991	512
7	7780	512
8	7987	512
0	8015	467

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

eval48.0ms (1%)

Memory: 38.1MiB live, 113.6MiB allocated
Compiler: Compiled 11 988 to 838 computations (93% saved)

prune59.0ms (1.2%)

Memory

-17.5MiB live, 102.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	413	0	413
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	413	6	419

Accuracy

100.0%

Counts

419 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.8%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
✓	69.5%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
✓	64.3%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	36.7%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	31.4%	(*.f64 #s(literal 1/8 binary64) x)
✓	34.0%	t

Compiler

Compiled 51 to 39 computations (23.5% saved)

simplify5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	15	20
2	22	20
3	24	20
0	24	19

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

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

localize62.0ms (1.2%)

Memory

-0.5MiB live, 37.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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

54.0ms

256×

valid

Compiler

Compiled 21 to 12 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 44.0ms (96.9% of total)

ival-add: 1.0ms (2.2% 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%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 60

Calls

Call 1

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

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)>

Calls

15 calls:

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

rewrite437.0ms (8.7%)

Memory

-17.0MiB live, 703.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 592×	`accelerator-lowering-fma.f32`
14 592×	`accelerator-lowering-fma.f64`
5 116×	`-lowering-.f32`
5 116×	`-lowering-.f64`
3 620×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	28	15
2	207	15
3	2168	15
0	8308	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 184

Calls

Call 1

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

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 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64))))))
(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 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))) (/.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 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))))
(-.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 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y 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 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/262144 binary64))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))) (fma.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.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 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 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.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 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))))
(-.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 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))) (/.f64 (/.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/8 binary64) (.f64 z (.f64 z z))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))))
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(.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))) #s(literal 3 binary64)) (.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)))) (.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)))) (/.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 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))) (/.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))) (fma.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)))) (/.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 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))) (/.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 (/.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))) (/.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64))))) (.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)))) (/.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 #s(literal 1 binary64) (fma.f64 (.f64 y z) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))) (/.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 (fma.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/8 binary64) (.f64 z (.f64 z z))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))) #s(literal -1/512 binary64) (.f64 #s(literal 1/134217728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (-.f64 (.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)))) (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/262144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/512 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/262144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 y (.f64 z (.f64 y z))))))))
(.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 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (*.f64 y z))))))
(.f64 (/.f64 (fma.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 (.f64 x x) #s(literal -1/64 binary64))) (fma.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/8 binary64) (.f64 z (.f64 z z))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/8 binary64) 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 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))))) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))) (-.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.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 (.f64 y (.f64 y y)) (.f64 #s(literal -1/8 binary64) (.f64 z (.f64 z z))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (-.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64))))))) (-.f64 (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 (.f64 x x) #s(literal -1/64 binary64))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/64 binary64) (.f64 (.f64 y z) #s(literal -1/16 binary64))) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))))) #s(literal -1/512 binary64) (.f64 #s(literal 1/134217728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (-.f64 (.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)))) (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (*.f64 y z)))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64))) (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 y (.f64 z (*.f64 y z))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 y (.f64 z (.f64 y z))))) (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) (.f64 #s(literal 1/4 binary64) (.f64 y z))))))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(exp.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/8 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/8 binary64))) (exp.f64 (log.f64 x)))

simplify227.0ms (4.5%)

Memory

31.5MiB live, 260.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 966×	`accelerator-lowering-fma.f32`
5 966×	`accelerator-lowering-fma.f64`
3 628×	`-lowering-.f32`
3 628×	`-lowering-.f64`
1 926×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	352
1	119	352
2	327	352
3	758	352
4	1496	352
5	3121	352
6	5787	352
0	8141	325

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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)

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

eval32.0ms (0.6%)

Memory: -13.1MiB live, 64.4MiB allocated
Compiler: Compiled 10 872 to 545 computations (95% saved)

prune36.0ms (0.7%)

Memory

0.5MiB live, 72.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	244	6	250

Accuracy

100.0%

Counts

250 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.8%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
✓	69.5%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
✓	64.3%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	36.7%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	31.4%	(*.f64 #s(literal 1/8 binary64) x)
✓	34.0%	t

Compiler

Compiled 95 to 60 computations (36.8% saved)

regimes34.0ms (0.7%)

Memory

-14.3MiB live, 71.3MiB 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:

7.0ms	x
6.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
3.0ms	t
3.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Results

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

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes27.0ms (0.5%)

Memory

16.2MiB live, 55.3MiB 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)) (*.f64 #s(literal 1/8 binary64) x))

Calls

9 calls:

4.0ms	t
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	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)
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
88.5%	4	`x`
84.0%	3	`y`
84.6%	3	`z`
89.0%	3	`t`
77.2%	3	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
83.4%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
88.5%	4	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
89.0%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
89.0%	3	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes8.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB 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

3 calls:

3.0ms	t
2.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
72.9%	3	`t`
87.9%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
87.9%	3	`(*.f64 y z)`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes15.0ms (0.3%)

Memory

-5.7MiB live, 32.7MiB 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

6 calls:

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

Results

Accuracy	Segments	Branch
76.9%	3	`y`
78.7%	3	`z`
70.5%	3	`x`
70.5%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
84.0%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
84.0%	3	`(*.f64 y z)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes19.0ms (0.4%)

Memory

5.6MiB live, 45.0MiB 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:

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

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
64.3%	1	`t`
64.3%	1	`y`
64.3%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
64.3%	1	`z`
64.3%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
64.3%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
64.3%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes21.0ms (0.4%)

Memory

-11.4MiB live, 37.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

9 calls:

7.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	t
2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	z

Results

Accuracy	Segments	Branch
43.0%	3	`y`
53.9%	3	`t`
41.8%	4	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
46.5%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
39.3%	2	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
39.3%	2	`(*.f64 y z)`
51.1%	3	`x`
36.7%	2	`z`
51.1%	3	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes13.0ms (0.3%)

Memory

-3.5MiB live, 35.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
t

Outputs
t

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
34.0%	1	`z`
34.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
34.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
34.0%	1	`(*.f64 y z)`
34.0%	1	`y`
34.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
34.0%	1	`x`
34.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
34.0%	1	`t`

Compiler

Compiled 77 to 61 computations (20.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.977067825107424e+43	6.653455183453962e+46
0.0ms	-1.4156985249999274e+24	-1.3741483757590163e+20

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.453851749170097e-6	1141614380654166100.0
0.0ms	-6.251364378361199e-43	-4.983469416669851e-47

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.321074424066738e+141	1.9562765068337658e+154
0.0ms	-2.3771240622404954e+173	-1.7651978020248342e+170

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch39.0ms (0.8%)

Memory

3.2MiB live, 79.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	7.033132290075457e+25	4.586248400014721e+41
17.0ms	-1.4469250447033422e+48	-7.621999038087919e+38

Samples

23.0ms

304×

valid

Compiler

Compiled 286 to 248 computations (13.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (48.8% of total)

ival-div: 4.0ms (27.9% of total)

ival-sub: 1.0ms (7% of total)

ival-add: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

simplify16.0ms (0.3%)

Memory

-16.2MiB live, 25.7MiB 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	45	101
1	68	101
2	76	101
3	88	101
4	97	101
5	103	101
6	105	101

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 -999999999999999983222784 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 50000000000000004410680702653211320350932992 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))))
(if (<=.f64 (.f64 y z) #s(literal -6277101735386681/12554203470773361527671578846415332832204710888928069025792 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 (.f64 y z) #s(literal 5902958103587057/1180591620717411303424 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 -200000000000000002807837251159941043564923941140258272187660085890042609097300216216368266487131373689224571527556203812385978553726279379745535544168843379433521211366178816 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (.f64 y z) #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 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 t #s(literal -4899999999999999870802215417867086594048 binary64)) t (if (<=.f64 t #s(literal 749999999999999994921989883094368256 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
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 -999999999999999983222784 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 50000000000000004410680702653211320350932992 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))))
(if (<=.f64 (.f64 y z) #s(literal -999999999999999983222784 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 50000000000000004410680702653211320350932992 binary64)) (fma.f64 #s(literal 1/8 binary64) x t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 x #s(literal 1/8 binary64)))))
(if (<=.f64 (.f64 y z) #s(literal -6277101735386681/12554203470773361527671578846415332832204710888928069025792 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 (.f64 y z) #s(literal 5902958103587057/1180591620717411303424 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 -200000000000000002807837251159941043564923941140258272187660085890042609097300216216368266487131373689224571527556203812385978553726279379745535544168843379433521211366178816 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 (.f64 y z) #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 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 t #s(literal -4899999999999999870802215417867086594048 binary64)) t (if (<=.f64 t #s(literal 749999999999999994921989883094368256 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
(if (<=.f64 t #s(literal -4899999999999999870802215417867086594048 binary64)) t (if (<=.f64 t #s(literal 749999999999999994921989883094368256 binary64)) (*.f64 x #s(literal 1/8 binary64)) t))
t

soundness803.0ms (16%)

Memory

2.3MiB live, 314.6MiB 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 201 to 106 computations (47.3% saved)

preprocess57.0ms (1.1%)

Memory: 21.0MiB live, 137.2MiB allocated
Remove: (sort y z)
Compiler: Compiled 374 to 190 computations (49.2% 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%)

sample919.0ms (18.3%)

preprocess142.0ms (2.8%)

explain210.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify60.0ms (1.2%)

localize37.0ms (0.7%)

series11.0ms (0.2%)

rewrite475.0ms (9.5%)

simplify270.0ms (5.4%)

eval86.0ms (1.7%)

prune68.0ms (1.4%)

simplify5.0ms (0.1%)

localize61.0ms (1.2%)

series3.0ms (0.1%)

rewrite502.0ms (10%)

simplify205.0ms (4.1%)

eval48.0ms (1%)

prune59.0ms (1.2%)

simplify5.0ms (0.1%)

localize62.0ms (1.2%)

series3.0ms (0%)

rewrite437.0ms (8.7%)

simplify227.0ms (4.5%)

eval32.0ms (0.6%)

prune36.0ms (0.7%)

regimes34.0ms (0.7%)

regimes27.0ms (0.5%)

regimes8.0ms (0.2%)

regimes15.0ms (0.3%)

regimes19.0ms (0.4%)

regimes21.0ms (0.4%)

regimes13.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch39.0ms (0.8%)

simplify16.0ms (0.3%)

soundness803.0ms (16%)

preprocess57.0ms (1.1%)

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