Metrics for Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample767.0ms (14.1%)

Results

525.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 143.0ms (55.5% of total)

ival-sub: 55.0ms (21.3% of total)

ival-add: 46.0ms (17.9% of total)

const: 12.0ms (4.7% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess98.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
418×	`distribute-rgt-in`
384×	`unsub-neg`
340×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	99
1	82	92
2	180	90
3	501	73
4	1145	71
5	1978	71
6	2359	71
7	2422	71
8	2430	71
9	2430	71
0	8	9
1	16	9
2	23	9
3	35	7
4	46	7
5	64	7
6	107	7
7	179	7
8	366	7
9	570	7
10	660	7
11	672	7
0	672	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (* x y) (* (- x 1) z))

Outputs
(+ (* x y) (* (- x 1) z))
(-.f64 (*.f64 x (+.f64 y z)) z)

Call 2

Inputs
(+ (* x y) (* (- x 1) z))
(+ (* (neg x) y) (* (- (neg x) 1) z))
(+ (* x (neg y)) (* (- x 1) z))
(+ (* x y) (* (- x 1) (neg z)))
(neg (+ (* (neg x) y) (* (- (neg x) 1) z)))
(neg (+ (* x (neg y)) (* (- x 1) z)))
(neg (+ (* x y) (* (- x 1) (neg z))))
(+ (* y x) (* (- y 1) z))
(+ (* z y) (* (- z 1) x))
(+ (* x z) (* (- x 1) y))

Outputs
(+ (* x y) (* (- x 1) z))
(- (* x (+ y z)) z)
(+ (* (neg x) y) (* (- (neg x) 1) z))
(- (neg z) (* x (+ y z)))
(+ (* x (neg y)) (* (- x 1) z))
(- (* x (- z y)) z)
(+ (* x y) (* (- x 1) (neg z)))
(+ z (* x (- y z)))
(neg (+ (* (neg x) y) (* (- (neg x) 1) z)))
(+ z (* x (+ y z)))
(neg (+ (* x (neg y)) (* (- x 1) z)))
(+ z (* x (- y z)))
(neg (+ (* x y) (* (- x 1) (neg z))))
(- (* x (- z y)) z)
(+ (* y x) (* (- y 1) z))
(- (* y (+ x z)) z)
(+ (* z y) (* (- z 1) x))
(- (* z (+ x y)) x)
(+ (* x z) (* (- x 1) y))
(- (* x (+ y z)) y)

explain94.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`z`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`

Results

57.0ms

512×

valid

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions

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

ival-mult: 12.0ms (47.3% of total)

ival-sub: 9.0ms (35.5% of total)

ival-add: 2.0ms (7.9% of total)

const: 1.0ms (3.9% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x (+.f64 y z)) z)
▶	98.8%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize110.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(*.f64 x (+.f64 y z))
✓	cost-diff	0	(-.f64 (*.f64 x (+.f64 y z)) z)
✓	cost-diff	0	(-.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	100.0%	(-.f64 (*.f64 x (+.f64 y z)) z)
✓	accuracy	100.0%	(-.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓	accuracy	99.0%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
174×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	28	37
2	43	37
3	62	37
4	92	37
5	162	37
6	294	37
7	609	37
8	791	37
9	845	37
10	849	37
0	849	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x y) (* (- x 1) z))
(* x y)
x
y
(* (- x 1) z)
(- x 1)
1
z
(- (* x (+ y z)) z)
(* x (+ y z))
(+ y z)

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

Results

36.0ms

256×

valid

Compiler

Compiled 46 to 18 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (49.3% of total)

ival-sub: 5.0ms (30.8% of total)

ival-add: 3.0ms (18.5% of total)

const: 1.0ms (6.2% of total)

backward-pass: 0.0ms (0% of total)

series21.0ms (0.4%)

Counts

7 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(+ (* x y) (* (- x 1) z))
1.0ms	x	@	-inf	(+ (* x y) (* (- x 1) z))
1.0ms	x	@	inf	(+ (* x y) (* (- x 1) z))
0.0ms	x	@	0	(+ (* x y) (* (- x 1) z))
0.0ms	x	@	inf	(* (- x 1) z)

rewrite645.0ms (11.9%)

Algorithm

1×	batch-egg-rewrite

Rules

8806×	`accelerator-lowering-fma.f32`
8806×	`accelerator-lowering-fma.f64`
5612×	`-lowering-.f32`
5612×	`-lowering-.f64`
3542×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	75	33
2	609	33
0	8035	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 649

Calls

Call 1

Inputs
(+ (* x y) (* (- x 1) z))
(* (- x 1) z)
(* x y)
(- x 1)
(- (* x (+ y z)) z)
(* x (+ y z))
(+ y z)

Outputs
(+.f64 (.f64 x y) (.f64 (+.f64 x #s(literal -1 binary64)) z))
(+.f64 (.f64 (+.f64 x #s(literal -1 binary64)) z) (.f64 x y))
(+.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))
(+.f64 (neg.f64 z) (*.f64 x (+.f64 y z)))
(+.f64 (.f64 x z) (+.f64 (neg.f64 z) (.f64 x y)))
(+.f64 (.f64 x z) (+.f64 (.f64 x y) (neg.f64 z)))
(+.f64 (.f64 x z) (-.f64 (.f64 x y) z))
(+.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 y z) (.f64 (+.f64 y z) (+.f64 y z))))) (+.f64 (.f64 x (.f64 x (.f64 (+.f64 y z) (+.f64 y z)))) (.f64 z (+.f64 z (.f64 x (+.f64 y z)))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x (.f64 x (.f64 (+.f64 y z) (+.f64 y z)))) (.f64 z (+.f64 z (*.f64 x (+.f64 y z))))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 (+.f64 y z) (+.f64 y z)))) (+.f64 z (.f64 x (+.f64 y z)))) (neg.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 x (+.f64 y z))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 z z))) (+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (+.f64 (neg.f64 z) (.f64 x y)) (.f64 x z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 x (+.f64 y z))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 y z) (.f64 (+.f64 y z) (+.f64 y z))))) (+.f64 (.f64 x (.f64 x (.f64 (+.f64 y z) (+.f64 y z)))) (.f64 z (+.f64 z (.f64 x (+.f64 y z)))))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x (.f64 x (.f64 (+.f64 y z) (+.f64 y z)))) (.f64 z (+.f64 z (*.f64 x (+.f64 y z)))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (+.f64 y z) (+.f64 y z)))) (+.f64 z (.f64 x (+.f64 y z)))) (/.f64 (.f64 z z) (+.f64 z (.f64 x (+.f64 y z)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 z z))) (+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 z z))) (-.f64 (.f64 (+.f64 x #s(literal -1 binary64)) z) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 (+.f64 x #s(literal -1 binary64)) z) (.f64 x y))))
(-.f64 (+.f64 (*.f64 x (+.f64 y z)) #s(literal 0 binary64)) z)
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x z (+.f64 (neg.f64 z) (*.f64 x y)))
(fma.f64 x z (+.f64 (*.f64 x y) (neg.f64 z)))
(fma.f64 x z (-.f64 (*.f64 x y) z))
(fma.f64 x (+.f64 y z) (neg.f64 z))
(fma.f64 x (.f64 #s(literal 1 binary64) z) (+.f64 (neg.f64 z) (.f64 x y)))
(fma.f64 x (.f64 #s(literal 1 binary64) z) (+.f64 (.f64 x y) (neg.f64 z)))
(fma.f64 x (.f64 #s(literal 1 binary64) z) (-.f64 (.f64 x y) z))
(fma.f64 x (.f64 #s(literal 1 binary64) y) (.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 z z))) (+.f64 (.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 x (/.f64 (.f64 x (.f64 (+.f64 y z) (+.f64 y z))) (+.f64 z (.f64 x (+.f64 y z)))) (neg.f64 (/.f64 (.f64 z z) (+.f64 z (*.f64 x (+.f64 y z))))))
(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 y (/.f64 (.f64 y (.f64 x x)) (+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 z z))) (+.f64 (.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) z))
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(+.f64 (.f64 x y) (.f64 x z))
(+.f64 (.f64 x z) (.f64 x y))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 y z))) (/.f64 (.f64 (.f64 z z) (.f64 x x)) (.f64 x (-.f64 y z))))
(fma.f64 x y (*.f64 x z))
(fma.f64 x z (*.f64 x y))
(fma.f64 x (.f64 #s(literal 1 binary64) z) (.f64 x y))
(fma.f64 x (.f64 #s(literal 1 binary64) y) (.f64 x z))
(fma.f64 y x (*.f64 x z))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x z))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x z))
(fma.f64 #s(literal 1 binary64) (.f64 x z) (.f64 x y))
(fma.f64 z x (*.f64 x y))
(fma.f64 (.f64 x z) #s(literal 1 binary64) (.f64 x y))
(fma.f64 (.f64 y #s(literal 1 binary64)) x (.f64 x z))
(fma.f64 (.f64 z #s(literal 1 binary64)) x (.f64 x y))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x z) (-.f64 (.f64 x z) (.f64 x y)))) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x z) (.f64 (.f64 z z) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y z)) (.f64 (.f64 x (+.f64 y z)) (.f64 x (-.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y y) (.f64 z (-.f64 z y))) (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (.f64 x (-.f64 (.f64 y y) (*.f64 z z)))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x z) (.f64 (.f64 z z) (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x z) (-.f64 (.f64 x z) (*.f64 x y)))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x z) (.f64 (.f64 z z) (.f64 x x)))) (+.f64 (.f64 (.f64 z z) (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 y (*.f64 x x)) z))))
(/.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (-.f64 y z))) (.f64 x (-.f64 y z)))
(/.f64 (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 (.f64 y y) (*.f64 z (-.f64 z y))))
(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (-.f64 y z))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x z) (.f64 (.f64 z z) (.f64 x x))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x z) (-.f64 (.f64 x z) (*.f64 x y))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (-.f64 y z)))) (neg.f64 (.f64 x (-.f64 y z))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (-.f64 y z)))
(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 x x)) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 x z) (.f64 x y)))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (.f64 x (+.f64 (neg.f64 (.f64 y y)) (*.f64 z z))) (-.f64 #s(literal 0 binary64) (-.f64 y z)))
(/.f64 (.f64 x (-.f64 (.f64 z z) (*.f64 y y))) (-.f64 z y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) x) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 y y)) (*.f64 z z)) x) (-.f64 #s(literal 0 binary64) (-.f64 y z)))
(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 y y)) x) (-.f64 z y))
(*.f64 x (+.f64 y z))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y z)))
(*.f64 (+.f64 y z) x)
(.f64 (.f64 x (+.f64 y z)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 z (-.f64 z y)))) x))
(.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (/.f64 x (+.f64 (.f64 y y) (*.f64 z (-.f64 z y)))))
(.f64 (-.f64 (.f64 y y) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) x))
(.f64 (-.f64 (.f64 y y) (*.f64 z z)) (/.f64 x (-.f64 y z)))
(.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x z) (.f64 (.f64 z z) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x z) (-.f64 (.f64 x z) (.f64 x y))))))
(.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(.f64 (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 z (-.f64 z y)))))
(.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (.f64 (+.f64 y z) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (-.f64 z y)) (.f64 (.f64 z (-.f64 z y)) (.f64 z (-.f64 z y)))))) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (*.f64 y y)))))
(.f64 (/.f64 (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z (-.f64 z y)) (.f64 z (-.f64 z y))))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (-.f64 (.f64 y y) (.f64 z z))) (+.f64 y z))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 (.f64 y y) (.f64 z (+.f64 y z))))
(+.f64 y z)
(+.f64 z y)
(+.f64 (/.f64 (.f64 y y) (-.f64 y z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 y z))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 (.f64 z z) (-.f64 y z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)))
(fma.f64 y (/.f64 y (-.f64 y z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 y z))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 y z))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 z z))) (+.f64 y z) (neg.f64 (/.f64 (.f64 z z) (-.f64 y z))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 (.f64 y y) (.f64 z (+.f64 y z))) (neg.f64 (/.f64 (.f64 z z) (-.f64 y z))))
(neg.f64 (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 z (-.f64 z y))))))
(neg.f64 (/.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 #s(literal 0 binary64) (-.f64 y z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 (.f64 y y) (.f64 z (-.f64 z y)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 y y)) (.f64 z z)) (-.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 (.f64 z z) (.f64 y y))))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (+.f64 (.f64 y y) (.f64 z (-.f64 z y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z))))
(/.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 y z))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 z (-.f64 z y)))))
(/.f64 (+.f64 (neg.f64 (.f64 y y)) (.f64 z z)) (-.f64 #s(literal 0 binary64) (-.f64 y z)))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (.f64 (+.f64 (.f64 y y) (.f64 z (-.f64 z y))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 y (*.f64 y y)))))))
(/.f64 (-.f64 (.f64 z z) (.f64 y y)) (-.f64 z y))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (+.f64 (.f64 y y) (.f64 z (-.f64 z y))) (-.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (-.f64 y z) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (-.f64 y z) (+.f64 (.f64 y y) (*.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y z)) (.f64 (-.f64 y z) (.f64 z z))) (*.f64 (-.f64 y z) (-.f64 y z)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (+.f64 (.f64 y y) (.f64 z (-.f64 z y)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (+.f64 (.f64 y y) (.f64 z (-.f64 z y)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 z z)))) (-.f64 y z)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 y y) (.f64 z z)) (-.f64 y z)))
(/.f64 (.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (+.f64 (.f64 y y) (*.f64 z (-.f64 z y))))
(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) #s(literal 1 binary64)) (-.f64 y z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 z (-.f64 z y))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 y y)) (.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 y z))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 y y))) (neg.f64 (-.f64 z y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (-.f64 y z)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 (.f64 y y) (-.f64 y z))) (+.f64 (.f64 (/.f64 (.f64 z z) (-.f64 y z)) (/.f64 (.f64 z z) (-.f64 y z))) (.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 (.f64 y y) (-.f64 y z))) (.f64 (/.f64 (.f64 z z) (-.f64 y z)) (/.f64 (.f64 z z) (-.f64 y z)))) (+.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 (.f64 z z) (-.f64 y z))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 z (-.f64 z y))))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 y (*.f64 y y))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 z (-.f64 z y))))) (-.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 y z))) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 z z)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 y z))) (+.f64 (.f64 y y) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y z))
(.f64 (+.f64 y z) (.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 y z))))
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) (-.f64 y z)))
(.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (*.f64 z (-.f64 z y)))))
(.f64 (+.f64 (.f64 y y) (.f64 z (-.f64 z y))) (.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 z (-.f64 z y))))))
(.f64 (+.f64 (.f64 y y) (.f64 z (-.f64 z y))) (/.f64 (+.f64 y z) (+.f64 (.f64 y y) (*.f64 z (-.f64 z y)))))
(.f64 (-.f64 (.f64 y y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (*.f64 z (-.f64 z y))))))
(.f64 (+.f64 (neg.f64 (.f64 y y)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y z))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 z (-.f64 z y)))) (+.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (.f64 y y) (*.f64 z z)))
(.f64 (-.f64 (.f64 z z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
(.f64 (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (-.f64 z y)) (.f64 (.f64 z (-.f64 z y)) (.f64 z (-.f64 z y)))))) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (.f64 y y)))))
(.f64 (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 z (-.f64 z y)) (.f64 z (-.f64 z y))))) (-.f64 (.f64 y y) (*.f64 z (-.f64 z y))))
(.f64 (/.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 (.f64 y y) (*.f64 z (+.f64 y z))))

simplify335.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

6730×	`accelerator-lowering-fma.f32`
6730×	`accelerator-lowering-fma.f64`
2746×	`-lowering-.f32`
2746×	`-lowering-.f64`
1262×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	893
1	346	893
2	1016	893
3	2571	893
4	5295	893
5	7110	893
0	8112	893

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

Outputs
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* x (+ y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+ (* -1 z) (* x (+ y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+ (* -1 z) (* x (+ y z)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 x (+.f64 z y))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(+ (* x y) (* z (- x 1)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- x 1)) y)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* y (+ x (/ (* z (- x 1)) y)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* y (+ x (/ (* z (- x 1)) y)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- x 1)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* x z))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(+ (* -1 z) (* x z))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(+ (* -1 z) (* x z))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x z)
(*.f64 z x)
(* x (+ z (* -1 (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x (+ z (* -1 (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x (+ z (* -1 (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x (+ y z)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(- (* x (+ y z)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(- (* x (+ y z)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(- (* x z) z)
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(- (+ (* x y) (* x z)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(- (+ (* x y) (* x z)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(- (+ (* x y) (* x z)) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x y)
(*.f64 x y)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- x 1)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* z (+ 1 (* -1 x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(-.f64 (*.f64 x (+.f64 z y)) z)
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

eval143.0ms (2.6%)

Compiler: Compiled 26703 to 6178 computations (76.9% saved)

prune79.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	835	6	841
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	837	6	843

Accuracy

100.0%

Counts

843 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.2%	(-.f64 (*.f64 z x) z)
▶	74.6%	(-.f64 (*.f64 x y) z)
▶	35.9%	(-.f64 #s(literal 0 binary64) z)
▶	64.2%	(*.f64 z (+.f64 #s(literal -1 binary64) x))
▶	65.7%	(*.f64 x (+.f64 z y))
▶	41.4%	(*.f64 x y)

Compiler

Compiled 88 to 60 computations (31.8% saved)

localize107.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(*.f64 z (+.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(+.f64 z y)
✓	cost-diff	0	(*.f64 x (+.f64 z y))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.f64 z (+.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(+.f64 z y)
✓	accuracy	100.0%	(*.f64 x (+.f64 z y))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (*.f64 x y) z)

Rules

432×	`accelerator-lowering-fma.f32`
432×	`accelerator-lowering-fma.f64`
224×	`-lowering-.f32`
224×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	29	31
2	40	31
3	58	31
4	86	31
5	151	31
6	267	31
7	394	31
8	505	31
9	568	31
10	570	31
0	570	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (* x y) z)
(* x y)
x
y
z
(- 0 z)
0
(* x (+ z y))
(+ z y)
(* z (+ -1 x))
(+ -1 x)
-1

Outputs
(- (* x y) z)
(-.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
x
y
z
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
(* x (+ z y))
(*.f64 x (+.f64 y z))
(+ z y)
(+.f64 y z)
(* z (+ -1 x))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(+ -1 x)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)

Results

40.0ms

256×

valid

Compiler

Compiled 47 to 17 computations (63.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (38.4% of total)

ival-sub: 5.0ms (32% of total)

ival-add: 4.0ms (25.6% of total)

const: 1.0ms (6.4% of total)

backward-pass: 0.0ms (0% of total)

series66.0ms (1.2%)

Counts

7 → 168

Calls

Call 1

Inputs
#<alt (- (* x y) z)>
#<alt (* x y)>
#<alt (- 0 z)>
#<alt (* x (+ z y))>
#<alt (+ z y)>
#<alt (* z (+ -1 x))>
#<alt (+ -1 x)>

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

Calls

42 calls:

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

rewrite548.0ms (10.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4770×	`accelerator-lowering-fma.f32`
4770×	`accelerator-lowering-fma.f64`
3254×	`-lowering-.f32`
3254×	`-lowering-.f64`
2118×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	75	26
2	574	26
3	6296	25
0	8932	23

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 656

Calls

Call 1

Inputs
(- (* x y) z)
(* x y)
(- 0 z)
(* x (+ z y))
(+ z y)
(* z (+ -1 x))
(+ -1 x)

Outputs
(+.f64 (*.f64 x y) z)
(+.f64 z (*.f64 x y))
(+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) z))
(+.f64 (+.f64 (*.f64 x y) z) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (*.f64 x y)))))))
(+.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (+.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 (.f64 x y) z))))
(+.f64 (-.f64 (*.f64 x y) #s(literal 0 binary64)) z)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) z))) #s(literal -1 binary64)))
(-.f64 (*.f64 x y) z)
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 x y)))
(-.f64 (+.f64 (*.f64 x y) z) #s(literal 0 binary64))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (*.f64 x y))))))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (+.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (+.f64 (.f64 x y) z)))
(-.f64 (-.f64 (*.f64 x y) #s(literal 0 binary64)) z)
(fma.f64 x y z)
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (+.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 (*.f64 x y) z))))
(fma.f64 y x z)
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (+.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (+.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x y) (/.f64 (.f64 (.f64 x y) (.f64 x y)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))))
(fma.f64 z #s(literal -1 binary64) (*.f64 x y))
(fma.f64 z (/.f64 z z) (*.f64 x y))
(fma.f64 z (/.f64 (.f64 z z) (.f64 z z)) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (+.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 (*.f64 x y) z))))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))))
(fma.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z) (.f64 x y))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (+.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 (*.f64 x y) z))))
(fma.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (*.f64 x y)))))))
(fma.f64 (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 (.f64 x y) z))))
(fma.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 (.f64 x y) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))))
(fma.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))) (.f64 (+.f64 (.f64 x y) z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))) (/.f64 (+.f64 (.f64 x y) z) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (*.f64 x y))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)) #s(literal 0 binary64))
(fma.f64 (+.f64 (.f64 x y) z) (.f64 (+.f64 (.f64 x y) z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) z))) #s(literal 0 binary64))
(fma.f64 (+.f64 (.f64 x y) z) (/.f64 (+.f64 (.f64 x y) z) (+.f64 (*.f64 x y) z)) #s(literal 0 binary64))
(fma.f64 (+.f64 (neg.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (neg.f64 (.f64 (.f64 x y) (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (neg.f64 (*.f64 x y)))) #s(literal 0 binary64))
(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal -1 binary64) (.f64 z z)) (.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) z)) (+.f64 (.f64 z z) (.f64 (.f64 x y) (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) (.f64 z (.f64 z z)) (.f64 x y))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 z z)) (.f64 x y))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 x (+.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 y (+.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (+.f64 (*.f64 x y) z))))
(fma.f64 (/.f64 (+.f64 (.f64 x y) z) (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z)))) (/.f64 (+.f64 (.f64 x y) z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))) #s(literal 0 binary64))
(fma.f64 (/.f64 z z) z (*.f64 x y))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (*.f64 x y))
(fma.f64 (/.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z) (.f64 x y))
(fma.f64 (/.f64 (.f64 z z) (.f64 z z)) z (*.f64 x y))
(fma.f64 (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z)))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 (*.f64 x y) z) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 z (.f64 z (.f64 z z))) (*.f64 x y))
(fma.f64 (/.f64 (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (.f64 (.f64 z (-.f64 z (.f64 x y))) (.f64 (.f64 z z) (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y))))))) (+.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 z (-.f64 z (.f64 x y))) (-.f64 (.f64 z (-.f64 z (.f64 x y))) (.f64 (.f64 x y) (.f64 x y))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z))) (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (*.f64 x y)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (neg.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (.f64 z (.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (neg.f64 (.f64 (.f64 x y) (.f64 x y))) (.f64 z z))) (+.f64 z (neg.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 (.f64 x y) z) (neg.f64 (/.f64 (.f64 z z) (+.f64 (.f64 x y) z))))
(fma.f64 (/.f64 (.f64 (.f64 x y) (.f64 x y)) (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z)))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))) (neg.f64 (/.f64 (.f64 z z) (+.f64 (*.f64 x y) z))))
(fma.f64 (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (.f64 (.f64 z (-.f64 z (.f64 x y))) (.f64 (.f64 z z) (+.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y))))))) (+.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x y) (.f64 x y))) (.f64 (.f64 z (-.f64 z (.f64 x y))) (-.f64 (.f64 z (-.f64 z (.f64 x y))) (.f64 (.f64 x y) (.f64 x y))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (*.f64 x y)))))))
(fma.f64 (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))))
(neg.f64 (+.f64 z (neg.f64 (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (-.f64 z (.f64 x y)))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z))) (+.f64 (.f64 z z) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (*.f64 x y) z))))
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(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64)))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))

simplify509.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

9008×	`accelerator-lowering-fma.f32`
9008×	`accelerator-lowering-fma.f64`
3492×	`-lowering-.f32`
3492×	`-lowering-.f64`
1826×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	625
1	242	625
2	661	625
3	1564	625
4	3251	625
5	4765	625
6	5967	625
7	6674	625
8	6828	625
9	6875	625
0	8479	625

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

Outputs
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x y) z)
(-.f64 (*.f64 x y) z)
(- (* x y) z)
(-.f64 (*.f64 x y) z)
(- (* x y) z)
(-.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* x (+ y (* -1 (/ z x))))
(-.f64 (*.f64 x y) z)
(* x (+ y (* -1 (/ z x))))
(-.f64 (*.f64 x y) z)
(* x (+ y (* -1 (/ z x))))
(-.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (/ z x))))
(-.f64 (*.f64 x y) z)
(* -1 (* x (+ (* -1 y) (/ z x))))
(-.f64 (*.f64 x y) z)
(* -1 (* x (+ (* -1 y) (/ z x))))
(-.f64 (*.f64 x y) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x y) z)
(-.f64 (*.f64 x y) z)
(- (* x y) z)
(-.f64 (*.f64 x y) z)
(- (* x y) z)
(-.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ z y))))
(-.f64 (*.f64 x y) z)
(* y (+ x (* -1 (/ z y))))
(-.f64 (*.f64 x y) z)
(* y (+ x (* -1 (/ z y))))
(-.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ z y))))
(-.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 x) (/ z y))))
(-.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 x) (/ z y))))
(-.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(+ (* -1 z) (* x y))
(-.f64 (*.f64 x y) z)
(+ (* -1 z) (* x y))
(-.f64 (*.f64 x y) z)
(+ (* -1 z) (* x y))
(-.f64 (*.f64 x y) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ (* x y) z) 1))
(-.f64 (*.f64 x y) z)
(* z (- (/ (* x y) z) 1))
(-.f64 (*.f64 x y) z)
(* z (- (/ (* x y) z) 1))
(-.f64 (*.f64 x y) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(-.f64 (*.f64 x y) z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(-.f64 (*.f64 x y) z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(-.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* x z))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(+ (* -1 z) (* x z))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(+ (* -1 z) (* x z))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x z)
(*.f64 z x)
(* x (+ z (* -1 (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x (+ z (* -1 (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x (+ z (* -1 (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)

eval209.0ms (3.8%)

Compiler: Compiled 14763 to 3921 computations (73.4% saved)

prune118.0ms (2.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	853	3	856
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	854	8	862

Accuracy

100.0%

Counts

862 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(-.f64 (*.f64 z x) z)
✓	74.6%	(-.f64 (*.f64 x y) z)
✓	64.2%	(*.f64 z (+.f64 #s(literal -1 binary64) x))
▶	30.2%	(*.f64 z x)
✓	65.7%	(*.f64 x (+.f64 z y))
✓	41.4%	(*.f64 x y)
▶	35.9%	(neg.f64 z)
▶	2.6%	z

Compiler

Compiled 53 to 36 computations (32.1% saved)

localize48.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(-.f64 (*.f64 z x) z)
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	-64	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(-.f64 (*.f64 z x) z)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(neg.f64 z)

Rules

176×	`accelerator-lowering-fma.f32`
176×	`accelerator-lowering-fma.f64`
112×	`-lowering-.f32`
112×	`-lowering-.f64`
56×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	11	12
2	18	12
3	28	12
4	42	12
5	66	12
6	141	12
7	222	12
8	265	12
9	270	12
0	270	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
z
(neg z)
(* z x)
x
(- (* z x) z)

Outputs
z
(neg z)
(-.f64 #s(literal 0 binary64) z)
(* z x)
(*.f64 z x)
x
(- (* z x) z)
(*.f64 z (+.f64 x #s(literal -1 binary64)))

Results

20.0ms

256×

valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

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

ival-mult: 2.0ms (37.1% of total)

ival-sub: 1.0ms (18.5% of total)

ival-neg: 1.0ms (18.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (neg z)>
#<alt (* z x)>
#<alt (- (* z x) z)>

Outputs
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 z)>
#<alt (- (* x z) z)>
#<alt (- (* x z) z)>
#<alt (- (* x z) z)>
#<alt (* x z)>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* z x)
0.0ms	x	@	-inf	(* z x)
0.0ms	z	@	0	(* z x)
0.0ms	z	@	-inf	(* z x)
0.0ms	z	@	inf	(* z x)

rewrite525.0ms (9.6%)

Algorithm

1×	batch-egg-rewrite

Rules

6106×	`accelerator-lowering-fma.f32`
6106×	`accelerator-lowering-fma.f64`
3322×	`/-lowering-/.f32`
3322×	`/-lowering-/.f64`
3090×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	24	10
2	169	10
3	1789	9
0	9591	8

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 339

Calls

Call 1

Inputs
(neg z)
(* z x)
(- (* z x) z)

Outputs
z
(+.f64 z #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) z)
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64)))) z)
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal 0 binary64))
(neg.f64 z)
(/.f64 (.f64 z (.f64 z z)) (*.f64 z z))
(/.f64 (.f64 z (.f64 z z)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (.f64 z (.f64 z z)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64)))))
(/.f64 (*.f64 z z) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) #s(literal 0 binary64))) (.f64 z (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z z))) (.f64 (.f64 z z) (*.f64 z z)))
(/.f64 (+.f64 (.f64 z (.f64 z z)) #s(literal 0 binary64)) (*.f64 z z))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 z z)) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (+.f64 (.f64 (/.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 #s(literal 0 binary64) (.f64 z z))) (+.f64 (.f64 z z) (.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) z) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (+.f64 (.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) (+.f64 (.f64 z z) (*.f64 (/.f64 #s(literal 0 binary64) z) z))))
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 z #s(literal -1 binary64))
(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal -1 binary64) (.f64 z z)))
(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) #s(literal 0 binary64)))))
(.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal 1 binary64) z)
(+.f64 (*.f64 z x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z x))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (.f64 (log.f64 (.f64 z x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 x x))) (-.f64 (.f64 z x) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 z x) #s(literal 0 binary64))))
(fma.f64 z x #s(literal 0 binary64))
(fma.f64 z (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 z (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 x z #s(literal 0 binary64))
(fma.f64 (+.f64 (.f64 z (.f64 (.f64 z z) (.f64 x (.f64 x x)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 z x) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (.f64 z (.f64 z (.f64 x x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z x) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) z #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) z #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z (.f64 z (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 z x) #s(literal 0 binary64)))) (+.f64 (.f64 z (.f64 (.f64 z z) (.f64 x (.f64 x x)))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z x) #s(literal 0 binary64)) (-.f64 (.f64 z (.f64 z (.f64 x x))) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 z (.f64 (.f64 z z) (.f64 x (.f64 x x)))) #s(literal 0 binary64)) (+.f64 (.f64 z (.f64 z (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 z x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 x x))) #s(literal 0 binary64)) (-.f64 (.f64 z x) #s(literal 0 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 z (.f64 (.f64 z z) (.f64 x (.f64 x x)))) #s(literal 0 binary64))) (neg.f64 (+.f64 (.f64 z (.f64 z (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 z x) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 z (.f64 z (.f64 x x))) #s(literal 0 binary64))) (neg.f64 (-.f64 (.f64 z x) #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 z z) (.f64 x (.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z (.f64 x x))) (.f64 #s(literal 0 binary64) (.f64 z x)))))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(*.f64 z (pow.f64 x #s(literal 1 binary64)))
(*.f64 z (exp.f64 (log.f64 x)))
(*.f64 x z)
(.f64 (+.f64 (.f64 z (.f64 (.f64 z z) (.f64 x (.f64 x x)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 z x) #s(literal 0 binary64))))))
(.f64 (-.f64 (.f64 z (.f64 z (.f64 x x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) z)
(*.f64 (exp.f64 (log.f64 x)) z)
(+.f64 z (*.f64 z x))
(+.f64 z (neg.f64 (*.f64 z x)))
(+.f64 (*.f64 z x) z)
(+.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 z (.f64 (.f64 z z) (.f64 x (.f64 x x)))) (.f64 z (+.f64 (.f64 z (.f64 x x)) (.f64 z (+.f64 x #s(literal -1 binary64)))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 z (+.f64 (.f64 z (.f64 x x)) (*.f64 z (+.f64 x #s(literal -1 binary64))))))))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) z) (neg.f64 (/.f64 (.f64 z z) (.f64 z (+.f64 x #s(literal -1 binary64))))))
(+.f64 (-.f64 (*.f64 z x) #s(literal 0 binary64)) z)
(+.f64 (neg.f64 (*.f64 z x)) z)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 z (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 z x) z)
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 z x)))
(-.f64 (/.f64 (.f64 z (.f64 (.f64 z z) (.f64 x (.f64 x x)))) (.f64 z (+.f64 (.f64 z (.f64 x x)) (.f64 z (+.f64 x #s(literal -1 binary64)))))) (/.f64 (.f64 z (.f64 z z)) (.f64 z (+.f64 (.f64 z (.f64 x x)) (*.f64 z (+.f64 x #s(literal -1 binary64)))))))
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(.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 z (.f64 z x)) (.f64 (.f64 z (.f64 z x)) (.f64 z (.f64 z x))))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z)) (.f64 z (+.f64 x #s(literal -1 binary64))))))) (+.f64 (.f64 (.f64 (.f64 z (.f64 z x)) (.f64 z (.f64 z x))) (.f64 x x)) (.f64 (.f64 z (.f64 z (+.f64 x #s(literal -1 binary64)))) (-.f64 (.f64 z (.f64 z (+.f64 x #s(literal -1 binary64)))) (.f64 z (.f64 z (.f64 x x)))))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (.f64 z (+.f64 (.f64 z (.f64 x x)) (.f64 z (+.f64 x #s(literal -1 binary64))))) (.f64 z (+.f64 (.f64 z (.f64 x x)) (.f64 z (+.f64 x #s(literal -1 binary64))))))) (.f64 z (+.f64 (.f64 z (.f64 x x)) (*.f64 z (+.f64 x #s(literal -1 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 z (*.f64 z (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 z (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 z (.f64 z x)) (.f64 z (.f64 z x))) (.f64 x x)) (.f64 (.f64 z z) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 z z))))))
(.f64 (pow.f64 (/.f64 (.f64 z (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z))))
(.f64 (pow.f64 (/.f64 (.f64 z (+.f64 (.f64 z (.f64 x x)) (.f64 z (+.f64 x #s(literal -1 binary64))))) (+.f64 (.f64 (.f64 z (.f64 (.f64 z z) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 z (.f64 z x)) (.f64 (.f64 z (.f64 z x)) (.f64 z (.f64 z x)))))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 z (.f64 z x)) (.f64 (.f64 z (.f64 z x)) (.f64 z (.f64 z x))))) (.f64 (.f64 z (.f64 z z)) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (*.f64 z z)))))))
(.f64 (pow.f64 (/.f64 (.f64 z (+.f64 (.f64 z (.f64 x x)) (.f64 z (+.f64 x #s(literal -1 binary64))))) (.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (*.f64 z z)))))

simplify446.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

3552×	`accelerator-lowering-fma.f32`
3552×	`accelerator-lowering-fma.f64`
2016×	`-lowering-.f32`
2016×	`-lowering-.f64`
1728×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	209
1	64	209
2	149	209
3	276	209
4	599	209
5	1852	209
6	3126	209
7	3588	209
8	3861	209
9	4031	209
10	4065	209
11	4577	209
12	5847	209
13	6669	209
14	6994	209
15	7078	209
16	7078	209
17	7570	209
0	8006	209

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 z)
(- (* x z) z)
(- (* x z) z)
(- (* x z) z)
(* x z)
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))

Outputs
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* z (- x 1))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* z (+ 1 (* -1 x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* z (+ 1 (* -1 x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* z (+ 1 (* -1 x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* z (+ 1 (* -1 x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x z) z)
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(- (* x z) z)
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(- (* x z) z)
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x z)
(*.f64 z x)
(* x (+ z (* -1 (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x (+ z (* -1 (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x (+ z (* -1 (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 z (+.f64 #s(literal -1 binary64) x))

eval99.0ms (1.8%)

Compiler: Compiled 15423 to 5148 computations (66.6% saved)

prune62.0ms (1.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	452	0	452
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	452	8	460

Accuracy

100.0%

Counts

460 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(-.f64 (*.f64 z x) z)
✓	74.6%	(-.f64 (*.f64 x y) z)
✓	64.2%	(*.f64 z (+.f64 #s(literal -1 binary64) x))
✓	30.2%	(*.f64 z x)
✓	65.7%	(*.f64 x (+.f64 z y))
✓	41.4%	(*.f64 x y)
✓	35.9%	(neg.f64 z)
✓	2.6%	z

Compiler

Compiled 104 to 58 computations (44.2% saved)

regimes16.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 x y) z)
(-.f64 (*.f64 z x) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Outputs
(-.f64 (*.f64 x (+.f64 y z)) z)

Calls

4 calls:

4.0ms	x
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
4.0ms	y
4.0ms	z

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes29.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 x y) z)
(-.f64 (*.f64 z x) z)

Outputs
(*.f64 x (+.f64 z y))
(-.f64 (*.f64 x y) z)
(*.f64 x (+.f64 z y))

Calls

3 calls:

11.0ms	z
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
98.6%	3	`x`
89.5%	3	`y`
87.8%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal -1 binary64) x))

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

Calls

2 calls:

8.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
85.0%	5	`y`
88.3%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 x (+.f64 z y))

Outputs
(*.f64 x (+.f64 z y))
(neg.f64 z)
(*.f64 x (+.f64 z y))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
87.9%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.5%)

Counts

5 → 6

Calls

Call 1

Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(-.f64 #s(literal 0 binary64) z)

Outputs
(*.f64 z x)
(*.f64 x y)
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x y)

Calls

3 calls:

11.0ms	x
9.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
63.5%	7	`y`
61.4%	8	`z`
69.3%	6	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
z
(neg.f64 z)
(*.f64 x y)

Outputs
(*.f64 x y)
(neg.f64 z)
(*.f64 x y)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
63.7%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
35.9%	1	`z`
35.9%	1	`y`
35.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

0.0ms	y
0.0ms	x
0.0ms	z

Results

Accuracy	Segments	Branch
2.6%	1	`y`
2.6%	1	`x`
2.6%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch38.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.2806530143015416	1.8748040683608986
27.0ms	-343.5984573198975	-3.6791773551361197e-19

Results

16.0ms

272×

valid

Compiler

Compiled 324 to 217 computations (33% saved)

Precisions

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

ival-mult: 5.0ms (65% of total)

ival-sub: 1.0ms (13% of total)

ival-add: 1.0ms (13% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch77.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
70.0ms	0.2806530143015416	1.8748040683608986
6.0ms	-3.490067360124463e-47	-2.0660883187876782e-47

Results

71.0ms

160×

valid

Compiler

Compiled 198 to 143 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (68.7% of total)

ival-sub: 1.0ms (22.9% of total)

ival-add: 1.0ms (22.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.2806530143015416	1.8748040683608986
6.0ms	-3.490067360124463e-47	-2.0660883187876782e-47

Results

10.0ms

160×

valid

Compiler

Compiled 168 to 123 computations (26.8% saved)

Precisions

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

ival-mult: 3.0ms (61.6% of total)

ival-sub: 1.0ms (20.5% of total)

ival-add: 1.0ms (20.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch100.0ms (1.8%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.222727853852378e+257	3.7555756425558034e+260
11.0ms	3.6023305825915595e+206	2.4269362739803254e+207
11.0ms	8.436370026840451e-48	8.588767902210913e-46
6.0ms	-3.490067360124463e-47	-2.0660883187876782e-47
55.0ms	-9.750621734106377e+105	-2.2625654362501993e+104

Results

76.0ms

512×

valid

Compiler

Compiled 455 to 333 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (53.3% of total)

ival-sub: 3.0ms (20% of total)

ival-add: 3.0ms (20% of total)

const: 1.0ms (6.7% of total)

backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.436370026840451e-48	8.588767902210913e-46
6.0ms	-3.490067360124463e-47	-2.0660883187876782e-47

Results

14.0ms

176×

valid

Compiler

Compiled 161 to 123 computations (23.6% saved)

Precisions

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

ival-mult: 6.0ms (72.9% of total)

ival-sub: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 132 to 54 computations (59.1% saved)

preprocess47.0ms (0.9%)

Compiler: Compiled 288 to 124 computations (56.9% saved)

Iter	Nodes	Cost
0	11	41
1	28	37
2	43	37
3	62	37
4	92	37
5	162	37
6	294	37
7	609	37
8	791	37
9	845	37
10	849	37
0	849	37

Iter	Nodes	Cost
0	12	31
1	29	31
2	40	31
3	58	31
4	86	31
5	151	31
6	267	31
7	394	31
8	505	31
9	568	31
10	570	31
0	570	31

Iter	Nodes	Cost
0	11	41
1	28	37
2	43	37
3	62	37
4	92	37
5	162	37
6	294	37
7	609	37
8	791	37
9	845	37
10	849	37
0	849	37

Iter	Nodes	Cost
0	12	31
1	29	31
2	40	31
3	58	31
4	86	31
5	151	31
6	267	31
7	394	31
8	505	31
9	568	31
10	570	31
0	570	31

analyze0.0ms (0%)

sample767.0ms (14.1%)

preprocess98.0ms (1.8%)

explain94.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize110.0ms (2%)

series21.0ms (0.4%)

rewrite645.0ms (11.9%)

simplify335.0ms (6.2%)

eval143.0ms (2.6%)

prune79.0ms (1.5%)

localize107.0ms (2%)

series66.0ms (1.2%)

rewrite548.0ms (10.1%)

simplify509.0ms (9.4%)

eval209.0ms (3.8%)

prune118.0ms (2.2%)

localize48.0ms (0.9%)

series4.0ms (0.1%)

rewrite525.0ms (9.6%)

simplify446.0ms (8.2%)

eval99.0ms (1.8%)

prune62.0ms (1.1%)

regimes16.0ms (0.3%)

regimes29.0ms (0.5%)

regimes15.0ms (0.3%)

regimes7.0ms (0.1%)

regimes26.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

bsearch38.0ms (0.7%)

bsearch77.0ms (1.4%)

bsearch17.0ms (0.3%)

bsearch100.0ms (1.8%)

bsearch21.0ms (0.4%)

soundness2.0ms (0%)

preprocess47.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	41
1	28	37
2	43	37
3	62	37
4	92	37
5	162	37
6	294	37
7	609	37
8	791	37
9	845	37
10	849	37
0	849	37

Iter	Nodes	Cost
0	12	31
1	29	31
2	40	31
3	58	31
4	86	31
5	151	31
6	267	31
7	394	31
8	505	31
9	568	31
10	570	31
0	570	31