Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, B

analyze151.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
50%	49.9%	49.9%	0.2%	0%	0%	0%	8
75%	74.9%	25%	0.2%	0%	0%	0%	9
75%	74.9%	25%	0.2%	0%	0%	0%	10
75%	74.9%	25%	0.2%	0%	0%	0%	11
75%	74.9%	25%	0.2%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 35.0ms (66.5% of total)

ival-mult: 7.0ms (13.3% of total)

ival-sub: 5.0ms (9.5% of total)

ival-div: 4.0ms (7.6% of total)

const: 1.0ms (1.9% of total)

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

sample1.2s (10.4%)

Results

951.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 422.0ms

ival-add: 184.0ms (43.6% of total)

ival-div: 90.0ms (21.3% of total)

ival-mult: 83.0ms (19.7% of total)

ival-sub: 50.0ms (11.8% of total)

const: 11.0ms (2.6% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess358.0ms (3%)

Algorithm

2×	egg-herbie

Rules

2074×	`sum4-define`
1862×	`sum3-define`
1740×	`sum4-define`
1382×	`sum5-define`
1328×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	146
1	171	133
2	537	133
3	1861	133
4	7777	133
0	9	9
1	20	9
2	46	9
3	83	9
4	184	9
5	451	9
6	909	9
7	2312	9
8	5887	9
0	8066	9

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (- (+ x y) z) (* t 2))
(/ (+ x (- y z)) (* t 2))
(/ (- (+ (neg x) y) z) (* t 2))
(* (/ (- (- y x) z) t) 1/2)
(/ (- (+ x (neg y)) z) (* t 2))
(/ (* (- x (+ y z)) 1/2) t)
(/ (- (+ x y) (neg z)) (* t 2))
(* (/ (sum3 x y z) t) 1/2)
(/ (- (+ x y) z) (* (neg t) 2))
(/ (* 1/2 (- z (+ x y))) t)
(neg (/ (- (+ (neg x) y) z) (* t 2)))
(* (/ (- (- y x) z) t) -1/2)
(neg (/ (- (+ x (neg y)) z) (* t 2)))
(/ (* (- x (+ y z)) -1/2) t)
(neg (/ (- (+ x y) (neg z)) (* t 2)))
(* (/ (sum3 x y z) t) -1/2)
(neg (/ (- (+ x y) z) (* (neg t) 2)))
(/ (+ x (- y z)) (* t 2))
(/ (- (+ y x) z) (* t 2))
(/ (+ x (- y z)) (* t 2))
(/ (- (+ z y) x) (* t 2))
(/ (* (- x (+ y z)) -1/2) t)
(/ (- (+ t y) z) (* x 2))
(/ (+ y (- t z)) (* x 2))
(/ (- (+ x z) y) (* t 2))
(* (/ (- (- y x) z) t) -1/2)
(/ (- (+ x t) z) (* y 2))
(/ (+ x (- t z)) (* y 2))
(/ (- (+ x y) t) (* z 2))
(/ (/ (- y (- t x)) z) 2)

Symmetry

(negabs t)

(sort x y)

explain97.0ms (0.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 x y)`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
-	-	`z`
-	-	`t`
-	-	`(*.f64 t #s(literal 2 binary64))`
-	-	`(-.f64 (+.f64 x y) z)`

Results

67.0ms

512×

valid

Compiler

Compiled 73 to 29 computations (60.3% saved)

Precisions

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

ival-div: 4.0ms (27.4% of total)

ival-add: 4.0ms (27.4% of total)

ival-mult: 4.0ms (27.4% of total)

ival-sub: 3.0ms (20.6% of total)

const: 1.0ms (6.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify172.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1862×	`sum3-define`
1740×	`sum4-define`
1382×	`sum5-define`
1328×	`-lowering-.f32`
1328×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	20	25
2	46	25
3	83	25
4	184	25
5	451	25
6	909	25
7	2312	25
8	5887	25
0	8066	25

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize57.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

48.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (27.9% of total)

ival-add: 2.0ms (27.9% of total)

ival-mult: 2.0ms (27.9% of total)

ival-sub: 1.0ms (14% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Counts

4 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(/ (- (+ x y) z) (* t 2))
1.0ms	z	@	inf	(/ (- (+ x y) z) (* t 2))
1.0ms	x	@	inf	(/ (- (+ x y) z) (* t 2))
1.0ms	y	@	0	(/ (- (+ x y) z) (* t 2))
1.0ms	t	@	0	(/ (- (+ x y) z) (* t 2))

rewrite456.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5074×	`-lowering-.f32`
5074×	`-lowering-.f64`
4350×	`/-lowering-/.f32`
4350×	`/-lowering-/.f64`
1502×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	53	20
2	500	20
0	8337	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 402

Calls

Call 1

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

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

simplify249.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3918×	`-lowering-.f32`
3918×	`-lowering-.f64`
2036×	`+-lowering-+.f64`
2036×	`+-lowering-+.f32`
1494×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	794
1	335	791
2	969	791
3	3391	710
0	8402	710

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval58.0ms (0.5%)

Compiler: Compiled 13541 to 1318 computations (90.3% saved)

prune80.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	513	9	522
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	514	9	523

Accuracy

100.0%

Counts

523 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.8%	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 x y) t) (/.f64 (.f64 t #s(literal 2 binary64)) z)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 t #s(literal 2 binary64)) z)))
	70.9%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
▶	69.8%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
▶	87.9%	(/.f64 (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)))) (*.f64 t #s(literal 2 binary64)))
▶	39.6%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
	36.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
▶	34.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 x y) z)))
	64.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x))

Compiler

Compiled 234 to 162 computations (30.8% saved)

simplify194.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)))
✓	cost-diff	384	(.f64 z (+.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))))
✓	cost-diff	384	(/.f64 (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)))) (*.f64 t #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 t #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 (+.f64 x y) z)
✓	cost-diff	0	(/.f64 t (-.f64 (+.f64 x y) z))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 x y) z)))

Rules

3008×	`-lowering-.f32`
3008×	`-lowering-.f64`
1510×	`fma-lowering-fma.f32`
1510×	`fma-lowering-fma.f64`
1278×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	111
1	74	109
2	192	109
3	466	109
4	1372	109
5	4545	109
0	8562	109

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize127.0ms (1.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)))) (*.f64 t #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))
✓	accuracy	81.5%	(.f64 z (+.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 (+.f64 x y) z)
✓	accuracy	100.0%	(/.f64 t (-.f64 (+.f64 x y) z))
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 x y) z)))

Results

97.0ms

256×

valid

Compiler

Compiled 131 to 27 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 13.0ms (42.2% of total)

ival-mult: 10.0ms (32.5% of total)

ival-add: 4.0ms (13% of total)

ival-sub: 3.0ms (9.7% of total)

const: 1.0ms (3.2% of total)

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

series48.0ms (0.4%)

Counts

15 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(/ t (- (+ x y) z))
5.0ms	y	@	0	(/ t (- (+ x y) z))
3.0ms	t	@	-inf	(/ (* z -1/2) t)
2.0ms	t	@	-inf	(* t 2)
2.0ms	t	@	0	(/ t (- (+ x y) z))

rewrite344.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4120×	`/-lowering-/.f32`
4120×	`/-lowering-/.f64`
3710×	`-lowering-.f32`
3710×	`-lowering-.f64`
1974×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	81
1	170	79
2	1578	79
0	8234	79

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 956

Calls

Call 1

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

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

simplify336.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

5068×	`-lowering-.f32`
5068×	`-lowering-.f64`
2624×	`+-lowering-+.f64`
2624×	`+-lowering-+.f32`
1632×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	4016
1	1363	3825
2	4316	3771
0	8778	3771

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

eval195.0ms (1.6%)

Compiler: Compiled 27371 to 3298 computations (88% saved)

prune162.0ms (1.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1420	6	1426
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	1423	12	1435

Accuracy

100.0%

Counts

1435 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.9%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	69.8%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
▶	83.2%	(/.f64 (*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))) #s(literal 2 binary64))
	61.9%	(/.f64 (.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) (.f64 t #s(literal 2 binary64)))
✓	39.6%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
	36.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	34.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
	70.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z)))
▶	36.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t y))
▶	64.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x))
	39.4%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
▶	34.5%	(*.f64 x (/.f64 #s(literal 1/2 binary64) t))

Compiler

Compiled 231 to 172 computations (25.5% saved)

simplify188.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 t #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x))
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 t y))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))
✓	cost-diff	0	(/.f64 z t)
✓	cost-diff	256	(*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))
✓	cost-diff	256	(/.f64 (*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))) #s(literal 2 binary64))

Rules

2482×	`-lowering-.f32`
2482×	`-lowering-.f64`
2228×	`fma-lowering-fma.f32`
2228×	`fma-lowering-fma.f64`
2032×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	104
1	54	104
2	122	104
3	209	102
4	377	98
5	717	96
6	1836	96
7	6022	96
0	8179	96

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize120.0ms (1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) t)
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x))
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 t y))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) t)
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal 1/2 binary64) t))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))
✓	accuracy	100.0%	(/.f64 (+.f64 x y) z)
✓	accuracy	83.3%	(*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)))

Results

95.0ms

256×

valid

Compiler

Compiled 109 to 23 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 14.0ms (51.7% of total)

ival-mult: 7.0ms (25.9% of total)

ival-add: 4.0ms (14.8% of total)

ival-sub: 1.0ms (3.7% of total)

const: 1.0ms (3.7% of total)

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

series25.0ms (0.2%)

Counts

15 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	(* (/ z t) (+ -1 (/ (+ x y) z)))
2.0ms	t	@	-inf	(* (/ 1/2 t) (+ y x))
1.0ms	z	@	inf	(/ (- y z) (* t 2))
1.0ms	t	@	inf	(/ (- y z) (* t 2))
1.0ms	t	@	0	(/ (- y z) (* t 2))

rewrite671.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4862×	`/-lowering-/.f32`
4862×	`/-lowering-/.f64`
4544×	`-lowering-.f32`
4544×	`-lowering-.f64`
2402×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	81
1	144	81
2	1417	81
0	8448	81

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1250

Calls

Call 1

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

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

simplify269.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4372×	`-lowering-.f32`
4372×	`-lowering-.f64`
2072×	`/-lowering-/.f32`
2072×	`/-lowering-/.f64`
2022×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	3305
1	656	3200
2	2124	3089
3	6507	3022
0	8139	3022

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

eval248.0ms (2.1%)

Compiler: Compiled 33165 to 4526 computations (86.4% saved)

prune229.0ms (1.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1709	4	1713
Fresh	3	1	4
Picked	2	3	5
Done	0	3	3
Total	1714	11	1725

Accuracy

100.0%

Counts

1725 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.9%	(/.f64 (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) t) #s(literal 2 binary64))
▶	36.8%	(/.f64 (/.f64 y t) #s(literal 2 binary64))
✓	69.8%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
▶	64.7%	(/.f64 (*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 y z))) #s(literal 2 binary64))
✓	39.6%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	34.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	36.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t y))
▶	70.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))
✓	64.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x))
▶	39.4%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	34.5%	(*.f64 x (/.f64 #s(literal 1/2 binary64) t))

Compiler

Compiled 176 to 132 computations (25% saved)

simplify205.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 x z))
✓	cost-diff	256	(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
✓	cost-diff	256	(/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) t)
✓	cost-diff	256	(/.f64 (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) t) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 z t)
✓	cost-diff	256	(*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
✓	cost-diff	256	(/.f64 (*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 y z))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 y t)
✓	cost-diff	0	(/.f64 (/.f64 y t) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))

Rules

2304×	`-lowering-.f32`
2304×	`-lowering-.f64`
1924×	`fnmsub-define`
1498×	`/-lowering-/.f32`
1498×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	111
1	58	111
2	139	111
3	256	100
4	468	95
5	971	95
6	2587	95
7	6178	95
0	8050	95

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize123.0ms (1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 x z))
✓	accuracy	100.0%	(/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) t)
✓	accuracy	87.2%	(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z)))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 y z))
✓	accuracy	100.0%	(/.f64 (*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 y z))) #s(literal 2 binary64))
✓	accuracy	90.4%	(*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
✓	accuracy	100.0%	(/.f64 y t)
✓	accuracy	100.0%	(/.f64 (/.f64 y t) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) t)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) t)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))

Results

94.0ms

256×

valid

Compiler

Compiled 120 to 26 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 18.0ms (58.7% of total)

ival-mult: 7.0ms (22.8% of total)

ival-add: 3.0ms (9.8% of total)

ival-sub: 1.0ms (3.3% of total)

const: 1.0ms (3.3% of total)

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

series20.0ms (0.2%)

Counts

17 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ x z)
1.0ms	t	@	0	(/ (/ (* z (+ -1 (/ x z))) t) 2)
1.0ms	t	@	0	(/ (* (/ z t) (+ -1 (/ y z))) 2)
1.0ms	t	@	inf	(/ (* (/ z t) (+ -1 (/ y z))) 2)
1.0ms	t	@	inf	(/ (/ (* z (+ -1 (/ x z))) t) 2)

rewrite410.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5232×	`/-lowering-/.f32`
5232×	`/-lowering-/.f64`
4014×	`-lowering-.f32`
4014×	`-lowering-.f64`
1898×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	95
1	148	95
2	1292	89
0	8396	89

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 991

Calls

Call 1

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

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

simplify301.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3394×	`-lowering-.f32`
3394×	`-lowering-.f64`
1508×	`fmsub-define`
1236×	`/-lowering-/.f32`
1236×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	2280
1	431	2142
2	1424	1992
3	4669	1992
0	8200	1992

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* 1/2 (/ (- y z) t))
(* -1/2 (/ z t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(* 1/2 (/ y t))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(* 1/2 (/ y t))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ y t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(/ 1/2 t)
(* -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)))))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(* -1/2 (/ z t))
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(/ -1/2 t)
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(* 1/2 (/ y t))
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(* 1/2 (/ y t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(* -1/2 (/ z t))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(* z (- (* 1/2 (/ y (* t z))) (* 1/2 (/ 1 t))))
(* -1/2 (/ z t))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(* -1 (* z (+ (* -1/2 (/ y (* t z))) (* 1/2 (/ 1 t)))))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* 1/2 (/ (* z (- (/ y z) 1)) t))
(* -1/2 (/ z t))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(+ (* -1/2 (/ z t)) (* 1/2 (/ y t)))
(* 1/2 (/ y t))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(* y (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ 1 t))))
(* 1/2 (/ y t))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(* -1 (* y (- (* 1/2 (/ z (* t y))) (* 1/2 (/ 1 t)))))
(/ y t)
(+ (* -1 (/ z t)) (/ y t))
(+ (* -1 (/ z t)) (/ y t))
(+ (* -1 (/ z t)) (/ y t))
(* -1 (/ z t))
(* z (- (/ y (* t z)) (/ 1 t)))
(* z (- (/ y (* t z)) (/ 1 t)))
(* z (- (/ y (* t z)) (/ 1 t)))
(* -1 (/ z t))
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t))))
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t))))
(* -1 (* z (+ (* -1 (/ y (* t z))) (/ 1 t))))
(/ (* z (- (/ y z) 1)) t)
(/ (* z (- (/ y z) 1)) t)
(/ (* z (- (/ y z) 1)) t)
(/ (* z (- (/ y z) 1)) t)
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(* 1/2 (/ x t))
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Outputs
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(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y z)) t)
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eval1.6s (13.5%)

Compiler: Compiled 23495 to 3427 computations (85.4% saved)

prune312.0ms (2.6%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1434	1	1435
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	1434	12	1446

Accuracy

100.0%

Counts

1446 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.9%	(/.f64 (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 x z))) t) #s(literal 2 binary64))
✓	36.8%	(/.f64 (/.f64 y t) #s(literal 2 binary64))
✓	69.8%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
✓	64.7%	(/.f64 (*.f64 (/.f64 z t) (+.f64 #s(literal -1 binary64) (/.f64 y z))) #s(literal 2 binary64))
✓	39.6%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	34.6%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	36.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t y))
	39.5%	(/.f64 #s(literal -1/2 binary64) (/.f64 t z))
✓	70.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))
✓	64.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x))
✓	39.4%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	34.5%	(*.f64 x (/.f64 #s(literal 1/2 binary64) t))

Compiler

Compiled 305 to 161 computations (47.2% saved)

regimes58.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	(+.f64 x y)
7.0ms	t
7.0ms	y
7.0ms	(*.f64 t #s(literal 2 binary64))
7.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Results

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

Compiler

Compiled 56 to 42 computations (25% saved)

regimes40.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	(*.f64 t #s(literal 2 binary64))
6.0ms	t
6.0ms	x
5.0ms	(-.f64 (+.f64 x y) z)
5.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`t`
99.4%	1	`(-.f64 (+.f64 x y) z)`
99.4%	1	`(+.f64 x y)`
99.4%	1	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 43 to 33 computations (23.3% saved)

regimes27.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	x
6.0ms	t
5.0ms	(*.f64 t #s(literal 2 binary64))
5.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
93.4%	2	`x`
92.1%	2	`y`
88.7%	3	`z`
74.5%	3	`t`
74.5%	3	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes5.0ms (0%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
93.3%	2	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes15.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
88.6%	3	`z`
78.3%	2	`y`
87.0%	2	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes10.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
87.0%	2	`x`
88.5%	3	`z`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
80.7%	3	`z`
70.2%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes21.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
3.0ms	x
3.0ms	t
3.0ms	y

Results

Accuracy	Segments	Branch
65.1%	3	`x`
44.8%	4	`t`
68.8%	3	`y`
62.5%	5	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.8%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.7%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.7%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
58.8%	3	`z`
56.5%	2	`x`
49.6%	3	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
58.8%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))

Outputs
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))

Calls

4 calls:

1.0ms	x
1.0ms	z
1.0ms	t
1.0ms	y

Results

Accuracy	Segments	Branch
34.5%	1	`t`
34.5%	1	`y`
34.5%	1	`x`
34.5%	1	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.9534910063787376e-18	-4.552480067564521e-23

Results

11.0ms

128×

valid

Compiler

Compiled 212 to 159 computations (25% saved)

Precisions

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

ival-add: 3.0ms (49.5% of total)

ival-sub: 1.0ms (16.5% of total)

ival-div: 1.0ms (16.5% of total)

ival-mult: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.9534910063787376e-18	-4.552480067564521e-23

Results

13.0ms

128×

valid

Compiler

Compiled 212 to 159 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (28.6% of total)

ival-div: 1.0ms (28.6% of total)

ival-add: 1.0ms (28.6% of total)

ival-mult: 1.0ms (28.6% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.37825953982001e-40	3.962700370928699e-34
13.0ms	-3.655265448125874e+38	-2.926561894777152e+34

Results

18.0ms

272×

valid

Compiler

Compiled 428 to 321 computations (25% saved)

Precisions

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

ival-div: 2.0ms (26.6% of total)

ival-add: 2.0ms (26.6% of total)

ival-mult: 2.0ms (26.6% of total)

ival-sub: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-6.075096009895149e+112	-7.609797011457827e+111

Results

10.0ms

96×

valid

Compiler

Compiled 164 to 123 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (37.6% of total)

ival-div: 1.0ms (37.6% of total)

ival-add: 1.0ms (37.6% of total)

ival-mult: 1.0ms (37.6% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.655102088001877e+160	1.912210872111888e+165
13.0ms	-5.984980461780178e+98	-1.103665864004167e+94

Results

17.0ms

256×

valid

Compiler

Compiled 372 to 287 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29% of total)

ival-add: 2.0ms (29% of total)

ival-mult: 2.0ms (29% of total)

ival-sub: 1.0ms (14.5% of total)

const: 0.0ms (0% of total)

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

bsearch60.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	3.464778743738614e+58	3.066519511854429e+60
30.0ms	-7.288468362088587e-260	-2.6499617311551055e-264

Results

50.0ms

240×

valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.9% of total)

ival-add: 2.0ms (29.9% of total)

ival-mult: 2.0ms (29.9% of total)

ival-sub: 1.0ms (15% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.464778743738614e+58	3.066519511854429e+60
13.0ms	-7.288468362088587e-260	-2.6499617311551055e-264

Results

18.0ms

240×

valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

Precisions

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

ival-mult: 4.0ms (47% of total)

ival-div: 2.0ms (23.5% of total)

ival-add: 2.0ms (23.5% of total)

ival-sub: 1.0ms (11.7% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.464778743738614e+58	3.066519511854429e+60
13.0ms	-7.288468362088587e-260	-2.6499617311551055e-264

Results

16.0ms

240×

valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (30% of total)

ival-add: 2.0ms (30% of total)

ival-mult: 2.0ms (30% of total)

ival-sub: 1.0ms (15% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.464778743738614e+58	3.066519511854429e+60
15.0ms	-7.288468362088587e-260	-2.6499617311551055e-264

Results

18.0ms

240×

valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

Precisions

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

ival-add: 3.0ms (37.5% of total)

ival-div: 2.0ms (25% of total)

ival-mult: 2.0ms (25% of total)

ival-sub: 1.0ms (12.5% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.235182874289092e-47	1.37825953982001e-40
10.0ms	-3.6483631489684437e+25	-4.278599787601508e+24

Results

18.0ms

240×

valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (30.5% of total)

ival-add: 2.0ms (30.5% of total)

ival-mult: 2.0ms (30.5% of total)

ival-sub: 1.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.235182874289092e-47	1.37825953982001e-40
12.0ms	-3.6483631489684437e+25	-4.278599787601508e+24

Results

16.0ms

240×

valid

Compiler

Compiled 320 to 255 computations (20.3% saved)

Precisions

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

ival-div: 2.0ms (31.1% of total)

ival-add: 2.0ms (31.1% of total)

ival-mult: 2.0ms (31.1% of total)

ival-sub: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
8×	`if-if-or-not_binary32`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	251
1	118	251
2	125	251
3	127	251
4	128	251

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 x y) z)))
(if (<=.f64 x #s(literal -8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7269215601948759/5192296858534827628530496329220096 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
(if (<=.f64 z #s(literal -350000000000000001565567347835409530880 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z))) (if (<=.f64 z #s(literal 4559885108472417/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z)))))
(if (<=.f64 x #s(literal -8499999999999999833216852071540754170976673010091726139264416803730699347314598382641614204988226302033061216256 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
(if (<=.f64 z #s(literal -35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 144999999999999992586576505288665655102703929772751506422762419853254678777831288689654377335506241337157221813682550119292855162776945076154997086297327030000156672 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 y #s(literal -5317986876289069/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 y #s(literal 1799999999999999837534458899435239907620262547349381312413696 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 y #s(literal -850877900206251/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 y #s(literal 1349999999999999967353824968698922496858070001105482008231936 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 y #s(literal -283625966735417/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 y #s(literal 549999999999999990003520572215208890058579374176064744980480 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 y #s(literal -2880576224656579/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) t)) (if (<=.f64 y #s(literal 480000000000000039931971114363723703765418230513717972303872 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 z #s(literal -6200000000000000218103808 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 t z)) (if (<=.f64 z #s(literal 3687797269539675/1569275433846670190958947355801916604025588861116008628224 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal -1/2 binary64) (/.f64 t z))))
(if (<=.f64 z #s(literal -5500000000000000176160768 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (if (<=.f64 z #s(literal 206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))

Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 (+.f64 x y) z)))
(if (<=.f64 x #s(literal -8772904772180445/2658455991569831745807614120560689152 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7269215601948759/5192296858534827628530496329220096 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
(if (<=.f64 x #s(literal -7269215601948759/5192296858534827628530496329220096 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))
(if (<=.f64 z #s(literal -350000000000000001565567347835409530880 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z))) (if (<=.f64 z #s(literal 4559885108472417/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z)))))
(if (<=.f64 z #s(literal -350000000000000001565567347835409530880 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z))) (if (<=.f64 z #s(literal 4559885108472417/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 y z)))))
(if (<=.f64 x #s(literal -8499999999999999833216852071540754170976673010091726139264416803730699347314598382641614204988226302033061216256 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
(if (<=.f64 x #s(literal -8499999999999999833216852071540754170976673010091726139264416803730699347314598382641614204988226302033061216256 binary64)) (.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t)) (.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) t)))
(if (<=.f64 z #s(literal -35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 144999999999999992586576505288665655102703929772751506422762419853254678777831288689654377335506241337157221813682550119292855162776945076154997086297327030000156672 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (+.f64 y x)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 z #s(literal -35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 144999999999999992586576505288665655102703929772751506422762419853254678777831288689654377335506241337157221813682550119292855162776945076154997086297327030000156672 binary64)) (.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 y #s(literal -5317986876289069/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 y #s(literal 1799999999999999837534458899435239907620262547349381312413696 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 y #s(literal -5317986876289069/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 y #s(literal 1799999999999999837534458899435239907620262547349381312413696 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 y #s(literal -850877900206251/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 y #s(literal 1349999999999999967353824968698922496858070001105482008231936 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 y #s(literal -850877900206251/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 y #s(literal 1349999999999999967353824968698922496858070001105482008231936 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 y #s(literal -283625966735417/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 y #s(literal 549999999999999990003520572215208890058579374176064744980480 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 y #s(literal -283625966735417/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 y #s(literal 549999999999999990003520572215208890058579374176064744980480 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 y #s(literal -2880576224656579/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) t)) (if (<=.f64 y #s(literal 480000000000000039931971114363723703765418230513717972303872 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 y #s(literal -2880576224656579/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) t)) (if (<=.f64 y #s(literal 480000000000000039931971114363723703765418230513717972303872 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 z #s(literal -6200000000000000218103808 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 t z)) (if (<=.f64 z #s(literal 3687797269539675/1569275433846670190958947355801916604025588861116008628224 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(literal -1/2 binary64) (/.f64 t z))))
(if (<=.f64 z #s(literal -5500000000000000176160768 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (if (<=.f64 z #s(literal 206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) t)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)))
(if (<=.f64 z #s(literal -5500000000000000176160768 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (if (<=.f64 z #s(literal 206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) t)) (*.f64 z (/.f64 #s(literal -1/2 binary64) t))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) t))

soundness2.2s (18.5%)

Rules

5232×	`/-lowering-/.f32`
5232×	`/-lowering-/.f64`
5074×	`-lowering-.f32`
5074×	`-lowering-.f64`
5068×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	95
1	148	95
2	1292	89
0	8396	89
0	22	81
1	144	81
2	1417	81
0	8448	81
0	103	794
1	335	791
2	969	791
3	3391	710
0	8402	710
0	411	4016
1	1363	3825
2	4316	3771
0	8778	3771
0	9	20
1	53	20
2	500	20
0	8337	20
0	26	81
1	170	79
2	1578	79
0	8234	79

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

Compiler

Compiled 698 to 412 computations (41% saved)

preprocess99.0ms (0.8%)

Remove

(sort x y)

(negabs t)

Compiler

Compiled 676 to 274 computations (59.5% saved)

analyze151.0ms (1.3%)

sample1.2s (10.4%)

preprocess358.0ms (3%)

explain97.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify172.0ms (1.4%)

localize57.0ms (0.5%)

series12.0ms (0.1%)

rewrite456.0ms (3.8%)

simplify249.0ms (2.1%)

eval58.0ms (0.5%)

prune80.0ms (0.7%)

simplify194.0ms (1.6%)

localize127.0ms (1.1%)

series48.0ms (0.4%)

rewrite344.0ms (2.9%)

simplify336.0ms (2.8%)

eval195.0ms (1.6%)

prune162.0ms (1.4%)

simplify188.0ms (1.6%)

localize120.0ms (1%)

series25.0ms (0.2%)

rewrite671.0ms (5.6%)

simplify269.0ms (2.3%)

eval248.0ms (2.1%)

prune229.0ms (1.9%)

simplify205.0ms (1.7%)

localize123.0ms (1%)

series20.0ms (0.2%)

rewrite410.0ms (3.4%)

simplify301.0ms (2.5%)

eval1.6s (13.5%)

prune312.0ms (2.6%)

regimes58.0ms (0.5%)

regimes40.0ms (0.3%)

regimes27.0ms (0.2%)

regimes5.0ms (0%)

regimes15.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes21.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0%)

bsearch17.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch36.0ms (0.3%)

bsearch14.0ms (0.1%)

bsearch34.0ms (0.3%)

bsearch60.0ms (0.5%)

bsearch28.0ms (0.2%)

bsearch29.0ms (0.2%)

bsearch30.0ms (0.3%)

bsearch28.0ms (0.2%)

bsearch28.0ms (0.2%)

simplify15.0ms (0.1%)

soundness2.2s (18.5%)

preprocess99.0ms (0.8%)

end0.0ms (0%)

Profiling