Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample840.0ms (10.4%)

Results

615.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-mult: 166.0ms (61.6% of total)

ival-sub: 49.0ms (18.2% of total)

ival-add: 40.0ms (14.8% of total)

const: 11.0ms (4.1% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess173.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

2818×	`sum4-define`
2056×	`sum5-define`
1890×	`sum3-define`
1566×	`sum5-define`
1422×	`fmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	89
1	89	81
2	242	80
3	829	70
4	3892	69
5	7403	69
0	8	8
1	16	8
2	29	8
3	59	7
4	135	7
5	270	6
6	472	6
7	907	6
8	3137	6
9	3988	6
10	4439	6
11	4479	6
0	4479	6

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (* x y) (* (- 1 x) z))
(fmsub x y (fmsub x z z))
(+ (* (neg x) y) (* (- 1 (neg x)) z))
(fma x (- z y) z)
(+ (* x (neg y)) (* (- 1 x) z))
(fnmsub x y (fmsub x z z))
(+ (* x y) (* (- 1 x) (neg z)))
(fmsub x y (fnmadd x z z))
(neg (+ (* (neg x) y) (* (- 1 (neg x)) z)))
(fmsub x y (fma x z z))
(neg (+ (* x (neg y)) (* (- 1 x) z)))
(fmsub x y (fnmadd x z z))
(neg (+ (* x y) (* (- 1 x) (neg z))))
(fnmsub x y (fmsub x z z))
(+ (* y x) (* (- 1 y) z))
(fma x y (fnmadd y z z))
(+ (* z y) (* (- 1 z) x))
(fma y z (fnmadd x z x))
(+ (* x z) (* (- 1 x) y))
(fma x z (fnmadd x y y))

explain126.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

98.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

ival-mult: 19.0ms (75.2% of total)

ival-sub: 3.0ms (11.9% of total)

ival-add: 3.0ms (11.9% of total)

const: 1.0ms (4% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
▶	99.2%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

876×	`sum5-define`
784×	`fnmadd-define`
676×	`fmsub-define`
674×	`sum4-define`
664×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	26	42
2	60	42
3	173	37
4	424	37
5	1118	37
6	2333	37
7	3230	37
8	3300	37
0	3300	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize105.0ms (1.3%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	accuracy	100.0%	(*.f64 x (-.f64 z y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	accuracy	99.3%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

93.0ms

256×

valid

Compiler

Compiled 46 to 12 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 9.0ms (53.3% of total)

ival-mult: 6.0ms (35.5% of total)

ival-add: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

7 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite326.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

5282×	`-lowering-.f32`
5282×	`-lowering-.f64`
3124×	`/-lowering-/.f32`
3124×	`/-lowering-/.f64`
1942×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	73	34
2	656	33
0	8754	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 291

Calls

Call 1

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

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

simplify169.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2192×	`-lowering-.f32`
2192×	`-lowering-.f64`
1824×	`fnmsub-define`
1188×	`/-lowering-/.f32`
1188×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	900
1	404	819
2	1219	819
3	3856	819
4	7868	819
0	8139	819

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval89.0ms (1.1%)

Compiler: Compiled 11306 to 1050 computations (90.7% saved)

prune71.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	473	10	483
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	474	11	485

Accuracy

100.0%

Counts

485 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 z y) (-.f64 #s(literal 0 binary64) x) z)
	63.3%	(-.f64 z (/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 y y)) x) (+.f64 y z)))
	78.7%	(-.f64 z (/.f64 (.f64 (.f64 x (+.f64 y z)) (-.f64 z y)) (+.f64 y z)))
▶	99.8%	(-.f64 z (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 z y))))
	66.7%	(-.f64 z (*.f64 z x))
✓	99.2%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	76.4%	(+.f64 (*.f64 x y) z)
	66.7%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
▶	60.0%	(*.f64 x (-.f64 y z))
	36.6%	(*.f64 x y)
▶	42.2%	z

Compiler

Compiled 214 to 132 computations (38.3% saved)

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 z y))
✓	cost-diff	0	(-.f64 z (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 z y))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 z y)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 (*.f64 x y) z)
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(*.f64 x (-.f64 y z))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	6400	(fma.f64 (-.f64 z y) (-.f64 #s(literal 0 binary64) x) z)

Rules

1332×	`sum5-define`
1126×	`fnmadd-define`
880×	`fmsub-define`
858×	`fnmsub-define`
828×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	36	61
2	84	59
3	249	59
4	795	59
5	1675	59
6	3189	59
7	4149	59
8	4558	59
9	4650	59
0	4650	59

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize90.0ms (1.1%)

Localize:

Found 11 expressions of interest:

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

Results

71.0ms

256×

valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

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

ival-mult: 8.0ms (31.2% of total)

ival-sub: 6.0ms (23.4% of total)

ival-div: 4.0ms (15.6% of total)

compiled-spec: 4.0ms (15.6% of total)

ival-add: 3.0ms (11.7% of total)

const: 1.0ms (3.9% of total)

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

series13.0ms (0.2%)

Counts

10 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

rewrite417.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3402×	`/-lowering-/.f32`
3402×	`/-lowering-/.f64`
2980×	`-lowering-.f32`
2980×	`-lowering-.f64`
1784×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	114	43
2	1089	41
0	8844	41

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 586

Calls

Call 1

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

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

simplify315.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4214×	`-lowering-.f32`
4214×	`-lowering-.f64`
1770×	`/-lowering-/.f32`
1770×	`/-lowering-/.f64`
1748×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	1941
1	796	1707
2	2331	1653
0	8495	1653

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval138.0ms (1.7%)

Compiler: Compiled 19227 to 1782 computations (90.7% saved)

prune110.0ms (1.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	956	3	959
Fresh	2	3	5
Picked	2	3	5
Done	1	0	1
Total	961	9	970

Accuracy

100.0%

Counts

970 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 z y)))
▶	66.7%	(-.f64 z (*.f64 z x))
▶	76.3%	(+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) z)
✓	76.4%	(+.f64 (*.f64 x y) z)
▶	66.7%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
	53.8%	(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
✓	60.0%	(*.f64 x (-.f64 y z))
▶	36.6%	(*.f64 x y)
✓	42.2%	z

Compiler

Compiled 128 to 87 computations (32% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1064×	`fnmadd-define`
802×	`sum3-define`
800×	`fma-define`
644×	`fmsub-define`
628×	`fnmsub-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	36	58
2	68	56
3	139	56
4	279	54
5	696	54
6	1482	53
7	2577	53
8	3107	53
9	3249	53
10	3490	53
11	3854	53
0	3854	53

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize124.0ms (1.5%)

Localize:

Found 11 expressions of interest:

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

Results

99.0ms

256×

valid

Compiler

Compiled 68 to 17 computations (75% saved)

Precisions

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

ival-div: 13.0ms (52.3% of total)

ival-mult: 5.0ms (20.1% of total)

ival-sub: 4.0ms (16.1% of total)

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

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

11 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

rewrite336.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4606×	`-lowering-.f32`
4606×	`-lowering-.f64`
3670×	`/-lowering-/.f32`
3670×	`/-lowering-/.f64`
1640×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	106	42
2	835	38
0	8503	38

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 572

Calls

Call 1

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

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

simplify313.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

3728×	`-lowering-.f32`
3728×	`-lowering-.f64`
1590×	`/-lowering-/.f32`
1590×	`/-lowering-/.f64`
1522×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	1346
1	637	1230
2	1810	1181
3	6791	1173
0	8043	1173

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

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

eval96.0ms (1.2%)

Compiler: Compiled 15652 to 1441 computations (90.8% saved)

prune81.0ms (1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	835	1	836
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	836	9	845

Accuracy

100.0%

Counts

845 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.5%	(/.f64 x (/.f64 #s(literal -1 binary64) z))
✓	66.7%	(-.f64 z (*.f64 z x))
✓	76.3%	(+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) z)
✓	76.4%	(+.f64 (*.f64 x y) z)
✓	66.7%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
▶	53.8%	(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
✓	60.0%	(*.f64 x (-.f64 y z))
✓	36.6%	(*.f64 x y)
✓	42.2%	z

Compiler

Compiled 72 to 49 computations (31.9% saved)

simplify173.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

2048×	`fmsub-define`
1986×	`fma-lowering-fma.f32`
1986×	`fma-lowering-fma.f64`
1896×	`fnmadd-define`
1758×	`fmm-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	21	39
2	50	39
3	129	36
4	375	36
5	895	33
6	1907	33
7	3217	33
8	5687	33
0	8116	33

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize55.0ms (0.7%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal -1 binary64) z))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 z y))
✓	accuracy	96.9%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	accuracy	91.0%	(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))

Results

42.0ms

256×

valid

Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions

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

ival-div: 7.0ms (57.6% of total)

ival-mult: 4.0ms (32.9% of total)

ival-sub: 1.0ms (8.2% of total)

const: 1.0ms (8.2% of total)

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

series11.0ms (0.1%)

Counts

6 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite274.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2366×	`fma-lowering-fma.f32`
2366×	`fma-lowering-fma.f64`
2004×	`-lowering-.f32`
2004×	`-lowering-.f64`
1798×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	54	31
2	369	31
3	5637	29
0	8108	29

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 224

Calls

Call 1

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

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

simplify441.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

2270×	`fnmadd-define`
1600×	`sum4-define`
1486×	`-lowering-.f32`
1486×	`-lowering-.f64`
1482×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	801
1	163	741
2	503	681
3	1308	681
4	4500	681
0	8405	681

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval61.0ms (0.7%)

Compiler: Compiled 6136 to 728 computations (88.1% saved)

prune39.0ms (0.5%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	379	1	380
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	379	10	389

Accuracy

100.0%

Counts

389 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.5%	(/.f64 x (/.f64 #s(literal -1 binary64) z))
✓	66.7%	(-.f64 z (*.f64 z x))
✓	76.3%	(+.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) z)
✓	76.4%	(+.f64 (*.f64 x y) z)
✓	66.7%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	53.8%	(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
✓	60.0%	(*.f64 x (-.f64 y z))
✓	36.6%	(*.f64 x y)
	27.5%	(neg.f64 (*.f64 x z))
✓	42.2%	z

Compiler

Compiled 201 to 102 computations (49.3% saved)

regimes24.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 z y) (-.f64 #s(literal 0 binary64) x) z)

Calls

4 calls:

6.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
6.0ms	y
5.0ms	z
5.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	z
5.0ms	y
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
5.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.3%	3	`x`
89.3%	3	`y`
89.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
82.5%	3	`y`
83.7%	3	`z`
84.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
59.2%	3	`y`
61.4%	4	`z`
69.1%	4	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
61.6%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
42.2%	1	`y`
42.2%	1	`z`
42.2%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch60.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.604906831479348e-7	37015.39884233192
28.0ms	-128750530390471360.0	-9.228383342765266e-7

Results

22.0ms

336×

valid

Compiler

Compiled 396 to 265 computations (33.1% saved)

Precisions

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

ival-mult: 5.0ms (53.9% of total)

ival-sub: 2.0ms (21.6% of total)

ival-add: 2.0ms (21.6% of total)

const: 0.0ms (0% 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
12.0ms	7.428317371042958e-55	3.367089915081776e-50
9.0ms	-2.7030249520450135e-11	-2.954870464531204e-12

Results

14.0ms

224×

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions

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

ival-mult: 3.0ms (48.8% of total)

ival-sub: 1.0ms (16.3% of total)

ival-add: 1.0ms (16.3% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.428317371042958e-55	3.367089915081776e-50
20.0ms	-2.7030249520450135e-11	-2.954870464531204e-12

Results

27.0ms

224×

valid

Compiler

Compiled 214 to 153 computations (28.5% saved)

Precisions

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

ival-mult: 3.0ms (47.6% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

bsearch169.0ms (2.1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
137.0ms	2.3439938411354077e+224	2.20606830300261e+227
15.0ms	8.604906831479348e-7	37015.39884233192
13.0ms	-9.228383342765266e-7	-2.7030249520450135e-11

Results

27.0ms

416×

valid

Compiler

Compiled 372 to 281 computations (24.5% saved)

Precisions

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

ival-mult: 7.0ms (60.1% of total)

ival-sub: 2.0ms (17.2% of total)

ival-add: 2.0ms (17.2% of total)

const: 1.0ms (8.6% of total)

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

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.428317371042958e-55	3.367089915081776e-50
10.0ms	-2.7030249520450135e-11	-2.954870464531204e-12

Results

16.0ms

224×

valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

Precisions

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

ival-mult: 5.0ms (65.3% of total)

ival-sub: 1.0ms (13.1% of total)

ival-add: 1.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

128×	`distribute-lft-neg-in_binary64`
72×	`neg-mul-1_binary64`
62×	`neg-sub0_binary64`
58×	`distribute-neg-in_binary64`
50×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	105
1	84	105
2	106	105
3	119	105
4	138	105
5	163	105
6	185	105
7	196	105
8	211	105
9	231	105
10	265	105
11	289	105
12	314	105
13	336	105
14	361	105
15	394	105
16	431	105
17	434	105

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 z y) (-.f64 #s(literal 0 binary64) x) z)
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -4085202129641755/1237940039285380274899124224 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1684996666696915/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -4085202129641755/309485009821345068724781056 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 8627182933488205/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) z (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -8500259669165361/9444732965739290427392 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 x #s(literal 1 binary64)) z (if (<=.f64 x #s(literal 110000000000000010211681740922551900657938329769555848208296526939615770890166537912032605329997088797237439490805051067521948751636184118066502344476110528949516359855484903017997727821464037358241743108191441255673888516341760 binary64)) (neg.f64 (.f64 x z)) (*.f64 x y))))
(if (<=.f64 x #s(literal -1098671784865775/309485009821345068724781056 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288 binary64)) z (.f64 x y)))
z

Outputs
(fma.f64 (-.f64 z y) (-.f64 #s(literal 0 binary64) x) z)
(-.f64 z (*.f64 x (-.f64 z y)))
(-.f64 z (*.f64 (-.f64 z y) x))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 z (.f64 y x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -4085202129641755/1237940039285380274899124224 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1684996666696915/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -4085202129641755/309485009821345068724781056 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 8627182933488205/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) z (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -8500259669165361/9444732965739290427392 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 x #s(literal 1 binary64)) z (if (<=.f64 x #s(literal 110000000000000010211681740922551900657938329769555848208296526939615770890166537912032605329997088797237439490805051067521948751636184118066502344476110528949516359855484903017997727821464037358241743108191441255673888516341760 binary64)) (neg.f64 (.f64 x z)) (*.f64 x y))))
(if (<=.f64 x #s(literal -8500259669165361/9444732965739290427392 binary64)) (.f64 z (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 x #s(literal 1 binary64)) z (if (<=.f64 x #s(literal 110000000000000010211681740922551900657938329769555848208296526939615770890166537912032605329997088797237439490805051067521948751636184118066502344476110528949516359855484903017997727821464037358241743108191441255673888516341760 binary64)) (.f64 z (-.f64 #s(literal 0 binary64) x)) (*.f64 y x))))
(if (<=.f64 x #s(literal -1098671784865775/309485009821345068724781056 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288 binary64)) z (.f64 x y)))
(if (<=.f64 x #s(literal -1098671784865775/309485009821345068724781056 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288 binary64)) z (.f64 y x)))
z

soundness2.4s (29.2%)

Rules

5282×	`-lowering-.f32`
5282×	`-lowering-.f64`
3728×	`-lowering-.f32`
3728×	`-lowering-.f64`
3402×	`/-lowering-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	54	31
2	369	31
3	5637	29
0	8108	29
0	193	1346
1	637	1230
2	1810	1181
3	6791	1173
0	8043	1173
0	8	8
1	16	8
2	29	8
3	59	7
4	135	7
5	270	6
6	472	6
7	907	6
8	3137	6
9	3988	6
10	4439	6
11	4479	6
0	4479	6
0	16	44
1	114	43
2	1089	41
0	8844	41
0	113	900
1	404	819
2	1219	819
3	3856	819
4	7868	819
0	8139	819
0	11	34
1	73	34
2	656	33
0	8754	33

Stop Event

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

Compiler

Compiled 257 to 135 computations (47.5% saved)

preprocess46.0ms (0.6%)

Compiler: Compiled 274 to 110 computations (59.9% saved)

Iter	Nodes	Cost
0	48	105
1	84	105
2	106	105
3	119	105
4	138	105
5	163	105
6	185	105
7	196	105
8	211	105
9	231	105
10	265	105
11	289	105
12	314	105
13	336	105
14	361	105
15	394	105
16	431	105
17	434	105

Iter	Nodes	Cost
0	48	105
1	84	105
2	106	105
3	119	105
4	138	105
5	163	105
6	185	105
7	196	105
8	211	105
9	231	105
10	265	105
11	289	105
12	314	105
13	336	105
14	361	105
15	394	105
16	431	105
17	434	105

analyze0.0ms (0%)

sample840.0ms (10.4%)

preprocess173.0ms (2.1%)

explain126.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify73.0ms (0.9%)

localize105.0ms (1.3%)

series13.0ms (0.2%)

rewrite326.0ms (4%)

simplify169.0ms (2.1%)

eval89.0ms (1.1%)

prune71.0ms (0.9%)

simplify84.0ms (1%)

localize90.0ms (1.1%)

series13.0ms (0.2%)

rewrite417.0ms (5.1%)

simplify315.0ms (3.9%)

eval138.0ms (1.7%)

prune110.0ms (1.4%)

simplify85.0ms (1%)

localize124.0ms (1.5%)

series8.0ms (0.1%)

rewrite336.0ms (4.1%)

simplify313.0ms (3.9%)

eval96.0ms (1.2%)

prune81.0ms (1%)

simplify173.0ms (2.1%)

localize55.0ms (0.7%)

series11.0ms (0.1%)

rewrite274.0ms (3.4%)

simplify441.0ms (5.4%)

eval61.0ms (0.7%)

prune39.0ms (0.5%)

regimes24.0ms (0.3%)

regimes22.0ms (0.3%)

regimes26.0ms (0.3%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch60.0ms (0.7%)

bsearch24.0ms (0.3%)

bsearch36.0ms (0.4%)

bsearch169.0ms (2.1%)

bsearch25.0ms (0.3%)

simplify29.0ms (0.4%)

soundness2.4s (29.2%)

preprocess46.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	48	105
1	84	105
2	106	105
3	119	105
4	138	105
5	163	105
6	185	105
7	196	105
8	211	105
9	231	105
10	265	105
11	289	105
12	314	105
13	336	105
14	361	105
15	394	105
16	431	105
17	434	105