Metrics for Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

analyze101.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 10.0ms (38.3% of total)

ival-add: 8.0ms (30.7% of total)

ival-sub: 6.0ms (23% of total)

const: 1.0ms (3.8% of total)

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

sample857.0ms (11.3%)

Results

563.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-div: 145.0ms (56.5% of total)

ival-add: 55.0ms (21.4% of total)

ival-sub: 42.0ms (16.4% of total)

const: 11.0ms (4.3% of total)

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

Bogosity

preprocess126.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1990×	`sum3-define`
1862×	`fnmsub-define`
1824×	`fmsub-define`
1648×	`sum5-define`
1498×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	99
1	84	91
2	163	90
3	393	90
4	1438	90
5	4099	90
0	8	9
1	13	9
2	21	9
3	31	9
4	49	9
5	70	9
6	109	9
7	143	9
8	200	9
9	342	9
10	527	9
11	828	9
12	1436	9
13	2149	9
14	2458	9
15	2859	9
16	2885	9
17	2909	9
18	2925	9
0	2925	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ x y) (- 1 (/ y z)))
(/ (+ (neg x) y) (- 1 (/ y z)))
(/ (- y x) (- 1 (/ y z)))
(/ (+ x (neg y)) (- 1 (/ (neg y) z)))
(/ (- y x) (- -1 (/ y z)))
(/ (+ x y) (- 1 (/ y (neg z))))
(/ (+ x y) (fmsub y (recip z) -1))
(neg (/ (+ (neg x) y) (- 1 (/ y z))))
(/ (- y x) (+ (/ y z) -1))
(neg (/ (+ x (neg y)) (- 1 (/ (neg y) z))))
(/ (- y x) (fmsub y (recip z) -1))
(neg (/ (+ x y) (- 1 (/ y (neg z)))))
(/ (+ x y) (- -1 (/ y z)))
(/ (+ y x) (- 1 (/ x z)))
(/ (+ x y) (- 1 (/ x z)))
(/ (+ z y) (- 1 (/ y x)))
(/ (+ y z) (fnmsub y (recip x) -1))
(/ (+ x z) (- 1 (/ z y)))

explain86.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

55.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

ival-div: 9.0ms (55.1% of total)

ival-sub: 3.0ms (18.4% of total)

ival-add: 3.0ms (18.4% of total)

const: 1.0ms (6.1% of total)

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

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

668×	`fnmadd-define`
558×	`fmsub-define`
542×	`fnmsub-define`
534×	`sum3-define`
488×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	13	24
2	21	24
3	31	24
4	49	24
5	70	24
6	109	24
7	143	24
8	200	24
9	342	24
10	527	24
11	828	24
12	1436	24
13	2149	24
14	2458	24
15	2859	24
16	2885	24
17	2909	24
18	2925	24
0	2925	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	91.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

35.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-div: 6.0ms (66.8% of total)

ival-add: 2.0ms (22.3% of total)

ival-sub: 1.0ms (11.1% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

4 → 108

Calls

Call 1

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

Outputs
#<alt (/ y (- 1 (/ y z)))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt x>
#<alt (+ x (* y (- 1 (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))>
#<alt (* -1 z)>
#<alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))>
#<alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (+ x y)>
#<alt (+ x (+ y (/ (* y (+ x y)) z)))>
#<alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))>
#<alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))>
#<alt (+ x y)>
#<alt (+ x (+ y (/ (* y (+ x y)) z)))>
#<alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))>
#<alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>

Calls

27 calls:

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

rewrite355.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3564×	`-lowering-.f32`
3564×	`-lowering-.f64`
3210×	`/-lowering-/.f32`
3210×	`/-lowering-/.f64`
1720×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	52	20
2	451	20
0	8161	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 301

Calls

Call 1

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

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

simplify304.0ms (4%)

Algorithm

1×	egg-herbie

Rules

4586×	`-lowering-.f32`
4586×	`-lowering-.f64`
2460×	`+-lowering-+.f64`
2460×	`+-lowering-+.f32`
1760×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	969
1	632	875
2	2192	811
0	8811	811

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(/ y (- 1 (/ y z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(/ x (- 1 (/ y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(/ x (- 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(* -1 z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(* -1 z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(* -1 (/ y z))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)

Outputs
(/ y (- 1 (/ y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+.f64 x (.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) z))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 (/.f64 y z) #s(literal 1 binary64)))) (/.f64 x z)))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(+.f64 (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (.f64 (/.f64 z y) (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(+.f64 (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (.f64 (.f64 (/.f64 z y) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) z) y)) (-.f64 (/.f64 (.f64 z z) y) (-.f64 #s(literal 0 binary64) z))) (/.f64 (*.f64 z z) y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (.f64 z (+.f64 z (+.f64 (/.f64 (.f64 z (+.f64 z x)) y) x))) y))
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z (+.f64 z x)) (+.f64 (/.f64 (.f64 z z) y) z))) y) (.f64 z (+.f64 z x))) y) z)
(* -1 (/ (* z (+ x y)) y))
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y x))) y)
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(.f64 z (-.f64 (.f64 z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 y x) y)))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(.f64 z (-.f64 (.f64 z (+.f64 (.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 x (.f64 y (.f64 y y))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))))) (/.f64 (+.f64 y x) y)))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(.f64 z (-.f64 (.f64 z (+.f64 (.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 x (.f64 y (.f64 y y)))) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 x (.f64 y (.f64 y (.f64 y y)))))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))))) (/.f64 (+.f64 y x) y)))
(+ x y)
(+.f64 y x)
(+ x (+ y (/ (* y (+ x y)) z)))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z))))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(+.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) z) (+.f64 y (/.f64 (.f64 y y) z))))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(+.f64 x (+.f64 (+.f64 y (/.f64 (/.f64 (.f64 y (.f64 (+.f64 y x) (+.f64 (/.f64 (.f64 y y) z) y))) z) z)) (/.f64 (.f64 y (+.f64 y x)) z)))
(+ x y)
(+.f64 y x)
(+ x (+ y (/ (* y (+ x y)) z)))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) z) (+.f64 y (/.f64 (.f64 y y) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(+.f64 (+.f64 y x) (/.f64 (+.f64 (/.f64 (.f64 y (.f64 (+.f64 y x) (+.f64 (/.f64 (.f64 y y) z) y))) z) (.f64 y (+.f64 y x))) z))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(* y (- (/ 1 y) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
(* y (- (/ 1 y) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
(* y (- (/ 1 y) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(/ (- z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (- z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (- z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)

eval47.0ms (0.6%)

Compiler: Compiled 9853 to 972 computations (90.1% saved)

prune54.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	399	10	409
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	399	11	410

Accuracy

100.0%

Counts

410 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	72.1%	(/.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (/.f64 y z)) z)))
	41.6%	(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y x))) y)
▶	80.4%	(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	46.6%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	47.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	90.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
▶	33.7%	(-.f64 #s(literal 0 binary64) z)
	51.5%	(+.f64 y x)
	44.1%	(.f64 z (-.f64 (.f64 z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) (/.f64 (+.f64 y x) y)))
▶	31.6%	x

Compiler

Compiled 256 to 164 computations (35.9% saved)

simplify225.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	0	(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	256	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	cost-diff	-128	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))

Rules

2656×	`-lowering-.f32`
2656×	`-lowering-.f64`
1222×	`/-lowering-/.f32`
1222×	`/-lowering-/.f64`
1010×	`fmsub-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	16	90
1	38	90
2	78	88
3	195	88
4	451	88
5	1163	88
6	3678	87
0	8091	87

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize92.0ms (1.2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	91.1%	(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	89.3%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	91.1%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
✓	accuracy	91.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))

Results

68.0ms

256×

valid

Compiler

Compiled 103 to 17 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 11.0ms (57.2% of total)

ival-sub: 3.0ms (15.6% of total)

ival-add: 3.0ms (15.6% of total)

ival-mult: 2.0ms (10.4% of total)

const: 1.0ms (5.2% of total)

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

series18.0ms (0.2%)

Counts

11 → 288

Calls

Call 1

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

Outputs
#<alt x>
#<alt (+ x (* y (- 1 (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))>
#<alt (* -1 z)>
#<alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))>
#<alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (+ x y)>
#<alt (+ x (+ y (/ (* y (+ x y)) z)))>
#<alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))>
#<alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))>
#<alt (+ x y)>
#<alt (+ x (+ y (/ (* y (+ x y)) z)))>
#<alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))>
#<alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))>
#<alt (/ y (- 1 (/ y z)))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (/ (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2)))) x) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (* (pow x 3) z)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 (* x z)) (/ 1 (pow x 2))) x)))) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ -1 z)>
#<alt (- (/ 1 y) (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (- (+ (* -1 (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2))) (/ 1 y)) (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (- (+ (/ 1 y) (/ (* (pow x 2) (- 1 (* -1 (/ x z)))) (pow y 3))) (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2)))))>
#<alt (/ -1 z)>
#<alt (- (+ (/ 1 y) (/ x (* y z))) (/ 1 z))>
#<alt (- (* -1 (/ (- (/ (* x (+ 1 (/ x z))) y) (+ 1 (/ x z))) y)) (/ 1 z))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1 (/ x z))) y) (* x (+ 1 (/ x z)))) y)) (+ 1 (/ x z))) y)) (/ 1 z))>
#<alt (* -1 (/ y (* z (+ x y))))>
#<alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)>
#<alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)>
#<alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)>
#<alt (/ 1 (+ x y))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (/ 1 (+ x y))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (/ (- 1 (/ y z)) y)>
#<alt (- (+ (* x (- (/ 1 (* y z)) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z))>
#<alt (- (+ (* x (- (+ (* x (- (/ 1 (pow y 3)) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z))>
#<alt (- (+ (* x (- (+ (* x (- (+ (* x (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 4)))) (/ 1 (pow y 3))) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z))>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z)) x)>
#<alt (/ (- (+ 1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow y 3) (- 1 (/ y z))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x)))) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y 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 (* -1 z)>
#<alt y>
#<alt (* y (+ 1 (/ y z)))>
#<alt (* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2))))))>
#<alt (* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (pow z 2) y)))>
#<alt (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (pow z 2) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 4) y)) (pow z 3)) y)) (* -1 (pow z 2))) y)))>
#<alt (* -1 z)>
#<alt (* z (- (* -1 (/ z y)) 1))>
#<alt (* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1))>
#<alt (* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))>
#<alt y>
#<alt (+ y (/ (pow y 2) z))>
#<alt (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z)))>
#<alt (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2)))))>
#<alt y>
#<alt (+ y (/ (pow y 2) z))>
#<alt (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)))>
#<alt (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* y (- 1 (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))>
#<alt (* -1 z)>
#<alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))>
#<alt (* -1 z)>
#<alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (- (* -1 (* x z)) (pow z 2))) (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) y))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (- (* -1 (* x z)) (pow z 2))) (* -1 (/ (+ (* z (- (* -1 (* x z)) (pow z 2))) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) y)) y))) y)))>
#<alt (/ y (- 1 (/ y z)))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (+ 1 (/ x y)))))>
#<alt (* z (+ (* -1 (+ 1 (/ x y))) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (* z (+ (* -1 (+ 1 (/ x y))) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (+ (* y (+ 1 (/ x y))) (/ (* (pow y 2) (+ 1 (/ x y))) z))>
#<alt (- (+ (* y (+ 1 (/ x y))) (/ (* (pow y 3) (+ 1 (/ x y))) (pow z 2))) (* -1 (/ (* (pow y 2) (+ 1 (/ x y))) z)))>
#<alt (- (+ (* y (+ 1 (/ x y))) (/ (* (pow y 4) (+ 1 (/ x y))) (pow z 3))) (+ (* -1 (/ (* (pow y 2) (+ 1 (/ x y))) z)) (* -1 (/ (* (pow y 3) (+ 1 (/ x y))) (pow z 2)))))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (+ (* y (+ 1 (/ x y))) (/ (* (pow y 2) (+ 1 (/ x y))) z))>
#<alt (+ (* -1 (/ (- (* -1 (/ (* (pow y 3) (+ 1 (/ x y))) z)) (* (pow y 2) (+ 1 (/ x y)))) z)) (* y (+ 1 (/ x y))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 4) (+ 1 (/ x y))) z) (* -1 (* (pow y 3) (+ 1 (/ x y))))) z)) (* (pow y 2) (+ 1 (/ x y)))) z)) (* y (+ 1 (/ x y))))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ 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 (/ x y)>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ x y)
2.0ms	x	@	inf	(/ (- 1 (/ y z)) (+ x y))
1.0ms	z	@	0	(/ (- 1 (/ y z)) (+ x y))
0.0ms	z	@	inf	(/ (* y (+ 1 (/ x y))) (- 1 (/ y z)))
0.0ms	y	@	-inf	(* y (+ 1 (/ x y)))

rewrite345.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4526×	`/-lowering-/.f32`
4526×	`/-lowering-/.f64`
3942×	`-lowering-.f32`
3942×	`-lowering-.f64`
1806×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	120	66
2	1072	60
0	8405	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 543

Calls

Call 1

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

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

simplify336.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

2792×	`-lowering-.f32`
2792×	`-lowering-.f64`
2300×	`+-lowering-+.f64`
2300×	`+-lowering-+.f32`
1816×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	3008
1	1635	2696
2	5584	2677
0	8198	2677

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(* -1 z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
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Outputs
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(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(+.f64 (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z))) (.f64 y (.f64 y y))) (-.f64 (/.f64 (.f64 z z) y) (.f64 (.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z)) (/.f64 z (.f64 y y))))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(-.f64 (/.f64 (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z)) y) z)
(+ (* -1 z) (* -1 (/ (+ (* -1 (- (* -1 (* x z)) (pow z 2))) (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) y))) y)))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z)) (.f64 (.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z)) (/.f64 z y)))) y) z)
(+ (* -1 z) (* -1 (/ (+ (* -1 (- (* -1 (* x z)) (pow z 2))) (* -1 (/ (+ (* z (- (* -1 (* x z)) (pow z 2))) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) y)) y))) y)))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z)) (/.f64 (+.f64 (.f64 (.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z)) (/.f64 (.f64 z z) y)) (.f64 z (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z)))) y))) y) z)
(/ y (- 1 (/ y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (+ 1 (/ x y)))))
(.f64 z (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))))))
(* z (+ (* -1 (+ 1 (/ x y))) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(.f64 z (+.f64 (.f64 z (-.f64 (.f64 z (+.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 (/.f64 x (.f64 y (.f64 y y)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))))) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* z (+ (* -1 (+ 1 (/ x y))) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(.f64 z (+.f64 (.f64 z (-.f64 (.f64 z (-.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 x (.f64 y (.f64 y (.f64 y y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 x (.f64 y (.f64 y y)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))))) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (* y (+ 1 (/ x y))) (/ (* (pow y 2) (+ 1 (/ x y))) z))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (.f64 y (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
(- (+ (* y (+ 1 (/ x y))) (/ (* (pow y 3) (+ 1 (/ x y))) (pow z 2))) (* -1 (/ (* (pow y 2) (+ 1 (/ x y))) z)))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (.f64 y (.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))) (.f64 (.f64 y (.f64 y y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 z z)))))
(- (+ (* y (+ 1 (/ x y))) (/ (* (pow y 4) (+ 1 (/ x y))) (pow z 3))) (+ (* -1 (/ (* (pow y 2) (+ 1 (/ x y))) z)) (* -1 (/ (* (pow y 3) (+ 1 (/ x y))) (pow z 2)))))
(-.f64 (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) z) z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) (.f64 (.f64 y y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ (* y (+ 1 (/ x y))) (/ (* (pow y 2) (+ 1 (/ x y))) z))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (.f64 y (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
(+ (* -1 (/ (- (* -1 (/ (* (pow y 3) (+ 1 (/ x y))) z)) (* (pow y 2) (+ 1 (/ x y)))) z)) (* y (+ 1 (/ x y))))
(-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) (.f64 (.f64 y y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 4) (+ 1 (/ x y))) z) (* -1 (* (pow y 3) (+ 1 (/ x y))))) z)) (* (pow y 2) (+ 1 (/ x y)))) z)) (* y (+ 1 (/ x y))))
(-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))) z)) (.f64 (.f64 y y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.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)
(/ x y)
(/.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(.f64 x (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(.f64 x (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(.f64 x (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) #s(literal -1 binary64)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x y))))

eval136.0ms (1.8%)

Compiler: Compiled 21351 to 2257 computations (89.4% saved)

prune156.0ms (2.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1052	9	1061
Fresh	2	3	5
Picked	3	2	5
Done	0	1	1
Total	1057	15	1072

Accuracy

100.0%

Counts

1072 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	41.6%	(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y x))) y)
▶	80.3%	(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	46.6%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	47.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	47.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))
▶	31.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	33.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
▶	51.5%	(+.f64 y x)
	37.0%	(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 z y) z)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	48.7%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
	22.5%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))
	33.7%	(neg.f64 z)
▶	23.4%	y
✓	31.6%	x

Compiler

Compiled 272 to 186 computations (31.6% saved)

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	cost-diff	0	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	cost-diff	0	(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	256	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x)))

Rules

2294×	`-lowering-.f32`
2294×	`-lowering-.f64`
1558×	`/-lowering-/.f32`
1558×	`/-lowering-/.f64`
1354×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	45	76
2	106	64
3	271	64
4	770	63
5	2908	63
6	5716	63
0	8146	63

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize103.0ms (1.4%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	accuracy	95.1%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	91.1%	(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	89.3%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x)))

Results

81.0ms

256×

valid

Compiler

Compiled 90 to 19 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 11.0ms (34.9% of total)

ival-sub: 9.0ms (28.6% of total)

ival-mult: 7.0ms (22.2% of total)

ival-add: 4.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Counts

10 → 240

Calls

Call 1

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

Outputs
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y 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 x>
#<alt (+ x (* y (- 1 (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))>
#<alt (* -1 z)>
#<alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))>
#<alt (* -1 z)>
#<alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (- (* -1 (* x z)) (pow z 2))) (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) y))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (- (* -1 (* x z)) (pow z 2))) (* -1 (/ (+ (* z (- (* -1 (* x z)) (pow z 2))) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) y)) y))) y)))>
#<alt (/ y (- 1 (/ y z)))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (+ 1 (/ x y)))))>
#<alt (* z (+ (* -1 (+ 1 (/ x y))) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (* z (+ (* -1 (+ 1 (/ x y))) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (+ (* y (+ 1 (/ x y))) (/ (* (pow y 2) (+ 1 (/ x y))) z))>
#<alt (- (+ (* y (+ 1 (/ x y))) (/ (* (pow y 3) (+ 1 (/ x y))) (pow z 2))) (* -1 (/ (* (pow y 2) (+ 1 (/ x y))) z)))>
#<alt (- (+ (* y (+ 1 (/ x y))) (/ (* (pow y 4) (+ 1 (/ x y))) (pow z 3))) (+ (* -1 (/ (* (pow y 2) (+ 1 (/ x y))) z)) (* -1 (/ (* (pow y 3) (+ 1 (/ x y))) (pow z 2)))))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (+ (* y (+ 1 (/ x y))) (/ (* (pow y 2) (+ 1 (/ x y))) z))>
#<alt (+ (* -1 (/ (- (* -1 (/ (* (pow y 3) (+ 1 (/ x y))) z)) (* (pow y 2) (+ 1 (/ x y)))) z)) (* y (+ 1 (/ x y))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 4) (+ 1 (/ x y))) z) (* -1 (* (pow y 3) (+ 1 (/ x y))))) z)) (* (pow y 2) (+ 1 (/ x y)))) z)) (* y (+ 1 (/ x y))))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))>
#<alt (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))>
#<alt (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* x (+ (/ z x) (/ z y))))>
#<alt (* -1 (* x (+ (/ z x) (/ z y))))>
#<alt (* -1 (* x (+ (/ z x) (/ z y))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* -1 (* y z))) y)>
#<alt (/ (+ (* -1 (* x z)) (* -1 (* y z))) y)>
#<alt (/ (+ (* -1 (* x z)) (* -1 (* y z))) y)>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt -1>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (/ x y))>
#<alt (/ (- (* -1 y) x) y)>
#<alt (/ (- (* -1 y) x) y)>
#<alt (/ (- (* -1 y) x) y)>
#<alt -1>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt -1>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 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)>

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(* z (- -1 (/ x y)))
1.0ms	x	@	-inf	(* z (- -1 (/ x y)))
0.0ms	z	@	inf	(* z (- -1 (/ x y)))
0.0ms	x	@	-inf	(/ 1 (/ 1 x))
0.0ms	y	@	-inf	(* z (- -1 (/ x y)))

rewrite343.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4588×	`/-lowering-/.f32`
4588×	`/-lowering-/.f64`
3768×	`-lowering-.f32`
3768×	`-lowering-.f64`
2078×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	53
1	132	53
2	1035	41
0	8565	41

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 507

Calls

Call 1

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

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

simplify336.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

3460×	`-lowering-.f32`
3460×	`-lowering-.f64`
2728×	`+-lowering-+.f64`
2728×	`+-lowering-+.f32`
1924×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	1665
1	634	1505
2	2247	1371
0	8396	1371

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ x y)
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(/ x y)
(/ x y)
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(/ 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
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(* -1 z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
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(+ (* -1 z) (* -1 (/ (+ (* -1 (- (* -1 (* x z)) (pow z 2))) (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) y))) y)))
(+ (* -1 z) (* -1 (/ (+ (* -1 (- (* -1 (* x z)) (pow z 2))) (* -1 (/ (+ (* z (- (* -1 (* x z)) (pow z 2))) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) y)) y))) y)))
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(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
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(* z (+ (* -1 (+ 1 (/ x y))) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (+ 1 (/ x y))) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
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(+ 1 (/ x y))
1
(+ 1 (/ x y))
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1
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(/ x y)
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(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
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x
(+ x y)
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x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
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(/ 1 x)
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(* -1 (* z (+ 1 (/ x y))))
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(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(* -1 z)
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(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
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(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ x y)) 1)
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(/ (- (* -1 y) x) y)
(/ (- (* -1 y) x) y)
(/ (- (* -1 y) x) y)
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ x y)) 1)
(- (* -1 (/ x y)) 1)
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(/ x y)
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(/ x y)
(/ x y)
(/ x y)

Outputs
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
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(+.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
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y
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(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
y
(+ x y)
(+.f64 x y)
(+ x y)
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(+ x y)
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x
(* x (+ 1 (/ y x)))
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(* x (+ 1 (/ y x)))
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x
(* -1 (* x (- (* -1 (/ y x)) 1)))
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(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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x
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(+.f64 x (.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (.f64 y (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))))
(* -1 z)
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(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(-.f64 (neg.f64 (/.f64 (*.f64 z (+.f64 x z)) y)) z)
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
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(* -1 z)
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(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (.f64 (.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z)) (-.f64 #s(literal -1 binary64) (/.f64 z y))) y))
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(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 0 binary64) x))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 0 binary64) x))
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(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* z (+ 1 (/ x y))))
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(* z (+ (* -1 (+ 1 (/ x y))) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 y (/.f64 (.f64 y y) z)))
(- (+ (* y (+ 1 (/ x y))) (/ (* (pow y 3) (+ 1 (/ x y))) (pow z 2))) (* -1 (/ (* (pow y 2) (+ 1 (/ x y))) z)))
(+.f64 (+.f64 y (.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 y (/.f64 (.f64 y y) z)))) z))
(- (+ (* y (+ 1 (/ x y))) (/ (* (pow y 4) (+ 1 (/ x y))) (pow z 3))) (+ (* -1 (/ (* (pow y 2) (+ 1 (/ x y))) z)) (* -1 (/ (* (pow y 3) (+ 1 (/ x y))) (pow z 2)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 z (.f64 z z))))) (/.f64 (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 y (/.f64 (.f64 y y) z)))) z))
(* y (+ 1 (/ x y)))
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(+ (* y (+ 1 (/ x y))) (/ (* (pow y 2) (+ 1 (/ x y))) z))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 y (/.f64 (.f64 y y) z)))
(+ (* -1 (/ (- (* -1 (/ (* (pow y 3) (+ 1 (/ x y))) z)) (* (pow y 2) (+ 1 (/ x y)))) z)) (* y (+ 1 (/ x y))))
(+.f64 (+.f64 y (.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 y (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 y (/.f64 (.f64 y y) z)))) z))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 4) (+ 1 (/ x y))) z) (* -1 (* (pow y 3) (+ 1 (/ x y))))) z)) (* (pow y 2) (+ 1 (/ x y)))) z)) (* y (+ 1 (/ x y))))
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(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
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(+ 1 (/ x y))
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1
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1
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(/ x y)
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y
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(+.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(* x (+ 1 (/ y x)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
(* x (+ 1 (/ y x)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(.f64 x (.f64 z (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(.f64 x (.f64 z (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(.f64 x (.f64 z (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (* x (+ (/ z x) (/ z y))))
(.f64 x (.f64 z (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(* -1 (* x (+ (/ z x) (/ z y))))
(.f64 x (.f64 z (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(* -1 (* x (+ (/ z x) (/ z y))))
(.f64 x (.f64 z (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(*.f64 (/.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(*.f64 (/.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(*.f64 (/.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(/ (- (* -1 y) x) y)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(/ (- (* -1 y) x) y)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(/ (- (* -1 y) x) y)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.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)
(/ x y)
(/.f64 x y)

eval129.0ms (1.7%)

Compiler: Compiled 10969 to 1423 computations (87% saved)

prune100.0ms (1.3%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	744	3	747
Fresh	0	7	7
Picked	1	4	5
Done	0	3	3
Total	745	17	762

Accuracy

100.0%

Counts

762 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	41.6%	(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y x))) y)
▶	22.9%	(/.f64 y (/.f64 y x))
✓	46.6%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	47.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	47.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))
✓	31.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	33.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
▶	17.4%	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
✓	51.5%	(+.f64 y x)
	37.0%	(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 z y) z)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	48.7%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
▶	48.6%	(.f64 z (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x)))
	22.5%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	33.7%	(neg.f64 z)
✓	23.4%	y
✓	31.6%	x

Compiler

Compiled 268 to 186 computations (30.6% saved)

simplify182.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 (*.f64 x z) y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	256	(/.f64 y (/.f64 y x))
✓	cost-diff	-64	(neg.f64 z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	cost-diff	0	(.f64 z (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) y) x)

Rules

2760×	`-lowering-.f32`
2760×	`-lowering-.f64`
1958×	`fnmadd-define`
1468×	`/-lowering-/.f32`
1468×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	48	75
2	104	75
3	341	75
4	1363	74
5	3893	74
0	8216	74

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* z (- -1 (* (/ 1 y) x)))
z
(- -1 (* (/ 1 y) x))
-1
(* (/ 1 y) x)
(/ 1 y)
1
y
x
(neg z)
z
(/ y (/ y x))
y
(/ y x)
x
(- 0 (/ (* x z) y))
0
(/ (* x z) y)
(* x z)
x
z
y
(/ 1 (/ (- 1 (/ y z)) x))
1
(/ (- 1 (/ y z)) x)
(- 1 (/ y z))
(/ y z)
y
z
x

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

localize105.0ms (1.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))
✓	accuracy	97.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	92.1%	(/.f64 (*.f64 x z) y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	81.9%	(/.f64 y (/.f64 y x))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	95.1%	(.f64 z (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x)))

Results

79.0ms

256×

valid

Compiler

Compiled 93 to 21 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 14.0ms (46.3% of total)

ival-mult: 10.0ms (33.1% of total)

ival-sub: 4.0ms (13.2% of total)

ival-neg: 2.0ms (6.6% of total)

const: 1.0ms (3.3% of total)

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

series20.0ms (0.3%)

Counts

14 → 372

Calls

Call 1

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

Outputs
#<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 (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* -1 (* y z))) y)>
#<alt (/ (+ (* -1 (* x z)) (* -1 (* y z))) y)>
#<alt (/ (+ (* -1 (* x z)) (* -1 (* y z))) y)>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))>
#<alt (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))>
#<alt (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* x (+ (/ z x) (/ z y))))>
#<alt (* -1 (* x (+ (/ z x) (/ z y))))>
#<alt (* -1 (* x (+ (/ z x) (/ z y))))>
#<alt (* -1 (/ x y))>
#<alt (/ (- (* -1 y) x) y)>
#<alt (/ (- (* -1 y) x) y)>
#<alt (/ (- (* -1 y) x) y)>
#<alt -1>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt -1>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt -1>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (- (* -1 (/ x y)) 1)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* x (+ (/ 1 x) (/ 1 y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 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>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<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 x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)>
#<alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)>
#<alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))>
#<alt (* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))>
#<alt (* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))>
#<alt (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y (* x z))) (/ 1 x))>
#<alt (+ (* -1 (/ y (* x z))) (/ 1 x))>
#<alt (+ (* -1 (/ y (* x z))) (/ 1 x))>
#<alt (* -1 (/ y (* x z)))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 (* x z))))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 (* x z))))>
#<alt (* y (- (/ 1 (* x y)) (/ 1 (* x z))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y)))))>
#<alt (* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y)))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (/ (+ (* -1 (/ y x)) (/ z x)) z)>
#<alt (/ (+ (* -1 (/ y x)) (/ z x)) z)>
#<alt (/ (+ (* -1 (/ y x)) (/ z x)) z)>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y (* x z))) (/ 1 x))>
#<alt (+ (* -1 (/ y (* x z))) (/ 1 x))>
#<alt (+ (* -1 (/ y (* x z))) (/ 1 x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y (* x z))) (/ 1 x))>
#<alt (+ (* -1 (/ y (* x z))) (/ 1 x))>
#<alt (+ (* -1 (/ y (* x z))) (/ 1 x))>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>

Calls

93 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ 1 (/ (- 1 (/ y z)) x))
1.0ms	x	@	inf	(/ 1 (/ (- 1 (/ y z)) x))
1.0ms	x	@	0	(/ 1 (/ (- 1 (/ y z)) x))
0.0ms	y	@	0	(- 0 (/ (* x z) y))
0.0ms	x	@	0	(- 0 (/ (* x z) y))

rewrite329.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4200×	`-lowering-.f32`
4200×	`-lowering-.f64`
3268×	`/-lowering-/.f32`
3268×	`/-lowering-/.f64`
1268×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	67
1	123	59
2	978	59
0	9169	59

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 704

Calls

Call 1

Inputs
(* (/ 1 y) x)
(* z (- -1 (* (/ 1 y) x)))
(- -1 (* (/ 1 y) x))
(/ 1 y)
(neg z)
(/ y (/ y x))
(/ y x)
(- 0 (/ (* x z) y))
(/ (* x z) y)
(* x z)
(/ 1 (/ (- 1 (/ y z)) x))
(/ (- 1 (/ y z)) x)
(- 1 (/ y z))
(/ y z)

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

simplify337.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

3818×	`-lowering-.f32`
3818×	`-lowering-.f64`
2266×	`--lowering--.f32`
2266×	`--lowering--.f64`
1870×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2003
1	588	1842
2	1833	1780
3	6671	1780
0	8275	1780

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(/ 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 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (* z (+ 1 (/ x y))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(* -1 z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(* -1 z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(* -1 z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(* -1 (/ (* x z) y))
(* -1 (* x (+ (/ z x) (/ z y))))
(* -1 (* x (+ (/ z x) (/ z y))))
(* -1 (* x (+ (/ z x) (/ z y))))
(* -1 (/ x y))
(/ (- (* -1 y) x) y)
(/ (- (* -1 y) x) y)
(/ (- (* -1 y) x) y)
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ x y)) 1)
(- (* -1 (/ x y)) 1)
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ x y)) 1)
(- (* -1 (/ x y)) 1)
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ x y)) 1)
(- (* -1 (/ x y)) 1)
(* -1 (/ x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 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
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
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 x)
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(* 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)
x
(+ x (/ (* x y) z))
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)
(* -1 (/ (* x z) y))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
x
(+ x (/ (* x y) z))
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
x
(+ x (/ (* x y) z))
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ x (- 1 (/ y z)))
(/ 1 x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* -1 (/ y (* x z))) (/ 1 x))
(* -1 (/ y (* x z)))
(* y (- (/ 1 (* x y)) (/ 1 (* x z))))
(* y (- (/ 1 (* x y)) (/ 1 (* x z))))
(* y (- (/ 1 (* x y)) (/ 1 (* x z))))
(* -1 (/ y (* x z)))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y)))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y)))))
(* -1 (/ y (* x z)))
(/ (+ (* -1 (/ y x)) (/ z x)) z)
(/ (+ (* -1 (/ y x)) (/ z x)) z)
(/ (+ (* -1 (/ y x)) (/ z x)) z)
(/ 1 x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/ 1 x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* -1 (/ y (* x z))) (/ 1 x))
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
(/ (- 1 (/ y z)) x)
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(* -1 (/ y z))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)

Outputs
(/ 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 (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (* x (+ (/ z x) (/ z y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* x (+ (/ z x) (/ z y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* x (+ (/ z x) (/ z y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ (- (* -1 y) x) y)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(/ (- (* -1 y) x) y)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(/ (- (* -1 y) x) y)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) 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
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
x
(+ x (/ (* x y) z))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))
(+.f64 x (.f64 x (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z))))
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))
(+.f64 x (.f64 y (+.f64 (/.f64 x z) (.f64 y (.f64 (/.f64 x (.f64 z z)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(.f64 z (.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))))
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)
(/.f64 (.f64 x (-.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (/.f64 z y) (*.f64 z (+.f64 (/.f64 z y) #s(literal 1 binary64)))))) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)
(/.f64 (-.f64 (.f64 x (-.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (/.f64 z y) (.f64 z (+.f64 (/.f64 z y) #s(literal 1 binary64)))))) (/.f64 (.f64 x (pow.f64 z #s(literal 4 binary64))) (.f64 y (.f64 y y)))) y)
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(.f64 z (.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))
(/.f64 (.f64 x (-.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (/.f64 z y) (*.f64 z (+.f64 (/.f64 z y) #s(literal 1 binary64)))))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))
(/.f64 (-.f64 (.f64 x (-.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (/.f64 z y) (.f64 z (+.f64 (/.f64 z y) #s(literal 1 binary64)))))) (/.f64 (.f64 x (pow.f64 z #s(literal 4 binary64))) (.f64 y (.f64 y y)))) y)
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(.f64 z (.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(.f64 z (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y)) z)))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
(.f64 z (-.f64 (.f64 z (+.f64 (neg.f64 (.f64 z (.f64 x (/.f64 z (pow.f64 y #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y))))) (/.f64 x y)))
x
(+ x (/ (* x y) z))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(+.f64 x (.f64 x (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z))))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
(+.f64 x (.f64 y (+.f64 (/.f64 x z) (.f64 y (.f64 (/.f64 x (.f64 z z)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))))
x
(+ x (/ (* x y) z))
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))
(+.f64 x (.f64 x (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z))))
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))
(+.f64 x (.f64 y (+.f64 (/.f64 x z) (.f64 y (.f64 (/.f64 x (.f64 z z)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(* -1 (/ y (* x z)))
(/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x z)))
(* y (- (/ 1 (* x y)) (/ 1 (* x z))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(* y (- (/ 1 (* x y)) (/ 1 (* x z))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(* y (- (/ 1 (* x y)) (/ 1 (* x z))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(* -1 (/ y (* x z)))
(/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x z)))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(* -1 (/ y (* x z)))
(/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x z)))
(/ (+ (* -1 (/ y x)) (/ z x)) z)
(/.f64 (-.f64 (/.f64 z x) (/.f64 y x)) z)
(/ (+ (* -1 (/ y x)) (/ z x)) z)
(/.f64 (-.f64 (/.f64 z x) (/.f64 y x)) z)
(/ (+ (* -1 (/ y x)) (/ z x)) z)
(/.f64 (-.f64 (/.f64 z x) (/.f64 y x)) z)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(+ (* -1 (/ y (* x z))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(/ (- 1 (/ y z)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(* y (- (/ 1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* y (- (/ 1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* y (- (/ 1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(/ (- z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (- z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (- z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)

eval142.0ms (1.9%)

Compiler: Compiled 15987 to 2159 computations (86.5% saved)

prune168.0ms (2.2%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	1074	2	1076
Fresh	0	5	5
Picked	1	4	5
Done	0	7	7
Total	1075	18	1093

Accuracy

100.0%

Counts

1093 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	41.6%	(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y x))) y)
✓	22.9%	(/.f64 y (/.f64 y x))
✓	46.6%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	47.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	31.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	33.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
✓	17.4%	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
	18.0%	(-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y x)))
✓	51.5%	(+.f64 y x)
	37.0%	(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 z y) z)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	48.7%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	48.6%	(.f64 z (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) x)))
	22.5%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z)))
	18.9%	(neg.f64 (/.f64 x (/.f64 y z)))
✓	33.7%	(neg.f64 z)
✓	23.4%	y
✓	31.6%	x

Compiler

Compiled 374 to 186 computations (50.3% saved)

regimes71.0ms (0.9%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
13.0ms	x
7.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
91.1%	1	`x`
96.1%	3	`y`
95.4%	3	`z`
99.9%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes19.0ms (0.3%)

Counts

18 → 5

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	z
6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
74.5%	5	`x`
76.7%	4	`z`
79.6%	5	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	z

Results

Accuracy	Segments	Branch
76.7%	4	`z`
78.1%	5	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
75.1%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
51.5%	1	`x`
69.7%	3	`y`
65.8%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

Inputs
x
y
(neg.f64 z)

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
48.4%	4	`z`
60.8%	4	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

3 calls:

3.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
37.0%	3	`z`
42.9%	3	`x`
41.8%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
31.6%	1	`z`
31.6%	1	`y`
31.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	2.311404533849727e-291
0.0ms	-2.821152698749284e-259	-2.3115175205911133e-304

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch62.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	1.056036752912029e-8	9.37759496476212e-7
16.0ms	6.578519689916399e-130	1.5657491841836126e-128
16.0ms	-5.226864425259421e-78	-2.7031609278637647e-95
14.0ms	-7.662979051095674e+172	-2.03791654051973e+164

Results

40.0ms

528×

valid

Compiler

Compiled 688 to 499 computations (27.5% saved)

Precisions

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

ival-div: 9.0ms (57.5% of total)

ival-sub: 3.0ms (19.2% of total)

ival-add: 3.0ms (19.2% of total)

const: 1.0ms (6.4% of total)

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

bsearch72.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	5.1496231445827157e-23	1.2426478667334448e-21
40.0ms	1.2595989804022774e-166	4.0219022296739077e-159
14.0ms	-7.719609233664879e-30	-3.5606976100702636e-38

Results

56.0ms

400×

valid

Compiler

Compiled 504 to 365 computations (27.6% saved)

Precisions

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

ival-div: 10.0ms (67.5% of total)

ival-add: 3.0ms (20.3% of total)

ival-sub: 2.0ms (13.5% of total)

const: 1.0ms (6.8% of total)

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

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.1496231445827157e-23	1.2426478667334448e-21
33.0ms	-7.719609233664879e-30	-3.5606976100702636e-38

Results

36.0ms

256×

valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 23.0ms (87.2% of total)

ival-add: 2.0ms (7.6% of total)

ival-sub: 1.0ms (3.8% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.6092862409768588e-21	5.850534557573452e-18
26.0ms	-1.4252421276100086e+156	-4.536891443668502e+143

Results

31.0ms

288×

valid

Compiler

Compiled 252 to 193 computations (23.4% saved)

Precisions

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

ival-div: 4.0ms (49.1% of total)

ival-add: 2.0ms (24.5% of total)

ival-sub: 1.0ms (12.3% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
6.0ms	1.9880471652156284e-56	3.808210576376316e-56
19.0ms	-5.226864425259421e-78	-2.7031609278637647e-95
14.0ms	-5.3142012078308656e+110	-1.3347013704746067e+108

Results

24.0ms

352×

valid

Compiler

Compiled 250 to 201 computations (19.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (50.3% of total)

ival-sub: 2.0ms (20.1% of total)

ival-add: 2.0ms (20.1% of total)

const: 1.0ms (10.1% of total)

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

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.188239280674105e-12	3.864736743536194e-12
15.0ms	-0.0023553444665277627	-5.135868016179097e-6

Results

13.0ms

192×

valid

Compiler

Compiled 138 to 109 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 3.0ms (51.1% of total)

ival-sub: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

const: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	183
1	92	183
2	106	183
3	115	183
4	121	183
5	123	183

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -2734063405978765/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 4432882941448709/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 2833419889721787/18889465931478580854784 binary64)) (+.f64 y x) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))))
(if (<=.f64 z #s(literal -7421688002070991/1427247692705959881058285969449495136382746624 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 7914572847139345/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 z #s(literal 7316070888800177/42535295865117307932921825928971026432 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -3882113724160211/45671926166590716193865151022383844364247891968 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 5104235503814077/10633823966279326983230456482242756608 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (+.f64 y x)))
(if (<=.f64 y #s(literal -899999999999999964581068447803464867782712815427173554941014311955738593946055745162686238919650953611655586395469265877447288941433115215044995448832 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -1450000000000000036261507735313384710550710937763681938455076817052927139927342332406435025266708577012154368 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal -5194720471359653/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) y (if (<=.f64 y #s(literal 4196261778848663/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) x (neg.f64 z))))
(if (<=.f64 x #s(literal -6139076427730539/1180591620717411303424 binary64)) x (if (<=.f64 x #s(literal 5942112188569825/2475880078570760549798248448 binary64)) y x))
x

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -2734063405978765/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 4432882941448709/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 2833419889721787/18889465931478580854784 binary64)) (+.f64 y x) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))))
(if (<=.f64 y #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal -2734063405978765/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 4432882941448709/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 2833419889721787/18889465931478580854784 binary64)) (+.f64 x y) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))))
(if (<=.f64 z #s(literal -7421688002070991/1427247692705959881058285969449495136382746624 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 7914572847139345/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 z #s(literal 7316070888800177/42535295865117307932921825928971026432 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 y x))))
(if (<=.f64 z #s(literal -7421688002070991/1427247692705959881058285969449495136382746624 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 7914572847139345/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 z #s(literal 7316070888800177/42535295865117307932921825928971026432 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))))
(if (<=.f64 z #s(literal -3882113724160211/45671926166590716193865151022383844364247891968 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 5104235503814077/10633823966279326983230456482242756608 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (+.f64 y x)))
(if (<=.f64 z #s(literal -3882113724160211/45671926166590716193865151022383844364247891968 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 5104235503814077/10633823966279326983230456482242756608 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (+.f64 x y)))
(if (<=.f64 y #s(literal -899999999999999964581068447803464867782712815427173554941014311955738593946055745162686238919650953611655586395469265877447288941433115215044995448832 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -899999999999999964581068447803464867782712815427173554941014311955738593946055745162686238919650953611655586395469265877447288941433115215044995448832 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 y #s(literal 1882207611218875/324518553658426726783156020576256 binary64)) (+.f64 x y) (-.f64 #s(literal 0 binary64) z)))
(if (<=.f64 y #s(literal -1450000000000000036261507735313384710550710937763681938455076817052927139927342332406435025266708577012154368 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal -5194720471359653/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) y (if (<=.f64 y #s(literal 4196261778848663/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) x (neg.f64 z))))
(if (<=.f64 y #s(literal -1450000000000000036261507735313384710550710937763681938455076817052927139927342332406435025266708577012154368 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 y #s(literal -5194720471359653/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) y (if (<=.f64 y #s(literal 4196261778848663/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) x (-.f64 #s(literal 0 binary64) z))))
(if (<=.f64 x #s(literal -6139076427730539/1180591620717411303424 binary64)) x (if (<=.f64 x #s(literal 5942112188569825/2475880078570760549798248448 binary64)) y x))
x

soundness1.2s (16.2%)

Rules

4586×	`-lowering-.f32`
4586×	`-lowering-.f64`
4526×	`/-lowering-/.f32`
4526×	`/-lowering-/.f64`
3942×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	120	66
2	1072	60
0	8405	60
0	462	3008
1	1635	2696
2	5584	2677
0	8198	2677
0	181	969
1	632	875
2	2192	811
0	8811	811

Stop Event

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

Compiler

Compiled 421 to 221 computations (47.5% saved)

preprocess92.0ms (1.2%)

Compiler: Compiled 498 to 190 computations (61.8% saved)

analyze101.0ms (1.3%)

sample857.0ms (11.3%)

preprocess126.0ms (1.7%)

explain86.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify66.0ms (0.9%)

localize48.0ms (0.6%)

series9.0ms (0.1%)

rewrite355.0ms (4.7%)

simplify304.0ms (4%)

eval47.0ms (0.6%)

prune54.0ms (0.7%)

simplify225.0ms (3%)

localize92.0ms (1.2%)

series18.0ms (0.2%)

rewrite345.0ms (4.5%)

simplify336.0ms (4.4%)

eval136.0ms (1.8%)

prune156.0ms (2.1%)

simplify167.0ms (2.2%)

localize103.0ms (1.4%)

series12.0ms (0.2%)

rewrite343.0ms (4.5%)

simplify336.0ms (4.4%)

eval129.0ms (1.7%)

prune100.0ms (1.3%)

simplify182.0ms (2.4%)

localize105.0ms (1.4%)

series20.0ms (0.3%)

rewrite329.0ms (4.3%)

simplify337.0ms (4.4%)

eval142.0ms (1.9%)

prune168.0ms (2.2%)

regimes71.0ms (0.9%)

regimes19.0ms (0.3%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch62.0ms (0.8%)

bsearch72.0ms (0.9%)

bsearch46.0ms (0.6%)

bsearch42.0ms (0.6%)

bsearch42.0ms (0.6%)

bsearch24.0ms (0.3%)

simplify16.0ms (0.2%)

soundness1.2s (16.2%)

preprocess92.0ms (1.2%)

end0.0ms (0%)

Profiling