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

analyze179.0ms (1.5%)

Memory

1.9MiB live, 79.1MiB allocated

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 11 to 11 computations (0% saved)

sample862.0ms (7%)

Memory

35.4MiB live, 1 130.1MiB allocated

Samples

615.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-add: 112.0ms (37% of total)

ival-div: 71.0ms (23.4% of total)

ival-mult: 65.0ms (21.4% of total)

ival-sub: 40.0ms (13.2% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess510.0ms (4.2%)

Memory

-19.9MiB live, 197.0MiB allocated

Algorithm

2×	egg-herbie

Rules

2 832×	`accelerator-lowering-fma.f32`
2 832×	`accelerator-lowering-fma.f64`
1 502×	`div-sub`
1 498×	`sub-neg`
1 298×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	146
1	171	135
2	512	135
3	1660	135
4	5365	135
5	7699	135
0	9	9
1	20	9
2	44	9
3	79	9
4	162	9
5	296	9
6	582	9
7	1367	9
8	2734	9
9	4711	9
10	5068	9
11	5112	9
12	5120	9
13	5120	9
14	5512	9
15	5680	9
16	5680	9
17	5680	9
0	5680	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

Outputs
(/ (- (+ x y) z) (* t 2))
(/.f64 (+.f64 x (-.f64 y z)) (*.f64 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) 1/2) t)
(/ (- (+ x (neg y)) z) (* t 2))
(/ (* (- (- x y) z) 1/2) t)
(/ (- (+ x y) (neg z)) (* t 2))
(/ (+ x (+ y z)) (* t 2))
(/ (- (+ x y) z) (* (neg t) 2))
(/ (+ x (- y z)) (* t -2))
(neg (/ (- (+ (neg x) y) z) (* t 2)))
(/ (* (- (- y x) z) -1/2) t)
(neg (/ (- (+ x (neg y)) z) (* t 2)))
(/ (* (+ z (- y x)) 1/2) t)
(neg (/ (- (+ x y) (neg z)) (* t 2)))
(/ (+ x (+ y z)) (* t -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))
(/ (* (+ z (- y x)) 1/2) t)
(/ (- (+ t y) z) (* x 2))
(/ (+ y (- t z)) (* x 2))
(/ (- (+ x z) y) (* t 2))
(/ (* (- (- y x) z) -1/2) t)
(/ (- (+ x t) z) (* y 2))
(/ (+ x (- t z)) (* y 2))
(/ (- (+ x y) t) (* z 2))
(/ (+ x (- y t)) (* z 2))

Symmetry

(negabs t)

(sort x y)

explain81.0ms (0.7%)

Memory

-1.2MiB live, 194.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

33.0ms

512×

valid

Compiler

Compiled 80 to 40 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 3.0ms (23.4% of total)

ival-add: 3.0ms (23.4% of total)

ival-mult: 3.0ms (23.4% of total)

ival-sub: 2.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

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)

simplify200.0ms (1.6%)

Memory

7.3MiB live, 201.0MiB allocated

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

2 832×	`accelerator-lowering-fma.f32`
2 832×	`accelerator-lowering-fma.f64`
1 502×	`div-sub`
1 104×	`-lowering-.f32`
1 104×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	20	25
2	44	25
3	79	25
4	162	25
5	296	25
6	582	25
7	1367	25
8	2734	25
9	4711	25
10	5068	25
11	5112	25
12	5120	25
13	5120	25
14	5512	25
15	5680	25
16	5680	25
17	5680	25
0	5680	25

Stop Event

1×	iter limit
1×	saturated

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

localize32.0ms (0.3%)

Memory

15.9MiB live, 55.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

25.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 2.0ms (33% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series208.0ms (1.7%)

Memory

-23.4MiB live, 30.9MiB allocated

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
199.0ms	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	@	inf	(/ (- (+ x y) z) (* t 2))
1.0ms	x	@	0	(/ (- (+ x y) z) (* t 2))

rewrite365.0ms (3%)

Memory

15.8MiB live, 726.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 046×	`-lowering-.f32`
5 046×	`-lowering-.f64`
4 338×	`/-lowering-/.f32`
4 338×	`/-lowering-/.f64`
3 708×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	53	20
2	469	20
3	7788	20
0	8227	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 505

Calls

Call 1

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

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

simplify343.0ms (2.8%)

Memory

-0.5MiB live, 569.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 612×	`accelerator-lowering-fma.f32`
7 612×	`accelerator-lowering-fma.f64`
3 776×	`-lowering-.f32`
3 776×	`-lowering-.f64`
2 500×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	728
1	314	728
2	876	728
3	2929	650
4	7509	650
0	8709	650

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

eval79.0ms (0.6%)

Memory: -13.4MiB live, 173.3MiB allocated
Compiler: Compiled 16 231 to 1 478 computations (90.9% saved)

prune167.0ms (1.4%)

Memory

-8.4MiB live, 190.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	616	9	625
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	617	9	626

Accuracy

100.0%

Counts

626 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.8%	(/.f64 (fma.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 z (+.f64 x (+.f64 y z))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 z (+.f64 x (+.f64 y z))))))) (*.f64 t #s(literal 2 binary64)))
	69.7%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
▶	68.1%	(/.f64 (-.f64 x z) (*.f64 t #s(literal 2 binary64)))
	65.9%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
▶	37.3%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
	35.4%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
▶	35.1%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x (-.f64 y z))))
▶	97.2%	(-.f64 (/.f64 (/.f64 (+.f64 x y) t) #s(literal 2 binary64)) (/.f64 z (*.f64 t #s(literal 2 binary64))))

Compiler

Compiled 294 to 172 computations (41.5% saved)

simplify322.0ms (2.6%)

Memory

18.9MiB live, 209.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2 976×	`accelerator-lowering-fma.f32`
2 976×	`accelerator-lowering-fma.f64`
1 476×	`div-sub`
1 248×	`-lowering-.f32`
1 248×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	105
1	48	105
2	95	105
3	189	105
4	362	105
5	627	105
6	1197	105
7	2414	105
8	4241	105
9	4867	105
10	4926	105
11	4934	105
12	4936	105
13	4940	105
14	5164	105
15	5404	105
16	5556	105
17	5632	105
18	5634	105
19	5638	105
20	5672	105
21	5839	105
22	6124	105
23	6230	105
24	6230	105
0	6230	105

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize80.0ms (0.7%)

Memory

-8.7MiB live, 163.9MiB allocated

Localize:

Found 15 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) t)
✓	accuracy	97.7%	(-.f64 (/.f64 (/.f64 (+.f64 x y) t) #s(literal 2 binary64)) (/.f64 z (*.f64 t #s(literal 2 binary64))))
✓	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 y z)
✓	accuracy	100.0%	(+.f64 x (-.f64 y z))
✓	accuracy	99.9%	(/.f64 t (+.f64 x (-.f64 y z)))
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x (-.f64 y z))))

Samples

47.0ms

256×

valid

Compiler

Compiled 111 to 25 computations (77.5% saved)

Precisions

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

ival-div: 21.0ms (66.7% of total)

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

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

ival-add: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

-7.0MiB live, 73.8MiB allocated

Counts

15 → 444

Calls

Call 1

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

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

111 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(/ (* z -1/2) t)
2.0ms	x	@	-inf	(/ (* 1/2 x) t)
2.0ms	t	@	-inf	(/ (+ x y) t)
2.0ms	t	@	0	(/ t (+ x (- y z)))
1.0ms	t	@	0	(- (/ (/ (+ x y) t) 2) (/ z (* t 2)))

rewrite545.0ms (4.4%)

Memory

-109.9MiB live, 738.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 444×	`/-lowering-/.f32`
5 444×	`/-lowering-/.f64`
4 680×	`accelerator-lowering-fma.f32`
4 680×	`accelerator-lowering-fma.f64`
3 492×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	77
1	156	77
2	1495	77
0	8425	77

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 054

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (/.f64 (+.f64 x y) t) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 t z)))
(+.f64 (/.f64 x (/.f64 t #s(literal 1/2 binary64))) (/.f64 (-.f64 y z) (/.f64 t #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 t z)) (/.f64 (/.f64 (+.f64 x y) t) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 2 binary64)) t) (*.f64 #s(literal 4 binary64) t)) (/.f64 #s(literal -1/2 binary64) (/.f64 t z)))
(+.f64 (/.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) t) (/.f64 (/.f64 (+.f64 x y) t) (/.f64 t (+.f64 x y)))) #s(literal 8 binary64)) (+.f64 (.f64 (/.f64 (+.f64 x y) #s(literal 4 binary64)) (/.f64 (/.f64 (+.f64 x y) t) t)) (.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z) (/.f64 t #s(literal -1/2 binary64)))))) (neg.f64 (/.f64 (/.f64 (.f64 (/.f64 z t) (/.f64 (/.f64 z t) (/.f64 t z))) #s(literal 8 binary64)) (+.f64 (.f64 (/.f64 (+.f64 x y) #s(literal 4 binary64)) (/.f64 (/.f64 (+.f64 x y) t) t)) (.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z) (/.f64 t #s(literal -1/2 binary64))))))))
(+.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) #s(literal 4 binary64)) (/.f64 (/.f64 (+.f64 x y) t) t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z) (/.f64 t #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (/.f64 (/.f64 z (/.f64 t z)) (.f64 #s(literal 4 binary64) t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z) (/.f64 t #s(literal -1/2 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 y z) (/.f64 t #s(literal 1/2 binary64))) (/.f64 x (/.f64 t #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t (+.f64 x (-.f64 y z))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 x y) t) #s(literal 2 binary64)) (*.f64 z (/.f64 #s(literal 1/2 binary64) t)))
(-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 t z)) (/.f64 (/.f64 (+.f64 x y) t) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 t (+.f64 x (-.f64 y z)))))
(-.f64 (/.f64 (.f64 (.f64 (/.f64 (+.f64 x y) t) #s(literal 2 binary64)) t) (.f64 #s(literal 4 binary64) t)) (.f64 z (/.f64 #s(literal 1/2 binary64) t)))
(-.f64 (/.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) t) (/.f64 (/.f64 (+.f64 x y) t) (/.f64 t (+.f64 x y)))) #s(literal 8 binary64)) (+.f64 (.f64 (/.f64 (+.f64 x y) #s(literal 4 binary64)) (/.f64 (/.f64 (+.f64 x y) t) t)) (.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z) (/.f64 t #s(literal -1/2 binary64)))))) (/.f64 (/.f64 (.f64 (/.f64 z t) (/.f64 (/.f64 z t) (/.f64 t z))) #s(literal 8 binary64)) (+.f64 (.f64 (/.f64 (+.f64 x y) #s(literal 4 binary64)) (/.f64 (/.f64 (+.f64 x y) t) t)) (.f64 (.f64 z (/.f64 #s(literal 1/2 binary64) t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z) (/.f64 t #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) #s(literal 4 binary64)) (/.f64 (/.f64 (+.f64 x y) t) t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z) (/.f64 t #s(literal -1/2 binary64)))) (/.f64 (/.f64 (/.f64 z (/.f64 t z)) (.f64 #s(literal 4 binary64) t)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z) (/.f64 t #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (-.f64 y z) (/.f64 t #s(literal 1/2 binary64))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) t))
(-.f64 (/.f64 y (/.f64 t #s(literal 1/2 binary64))) (/.f64 (-.f64 z x) (/.f64 t #s(literal 1/2 binary64))))
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(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) t) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) t))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) t))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))) t))
(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) t))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (/.f64 t #s(literal 1/2 binary64))) (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 t (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) t)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 x y)) t) (/.f64 (/.f64 (.f64 y y) (-.f64 x y)) t))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) t)))
(-.f64 (/.f64 (.f64 x x) (.f64 t (-.f64 x y))) (/.f64 (.f64 y y) (.f64 t (-.f64 x y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) t)))
(/.f64 (+.f64 x y) t)
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (-.f64 #s(literal 0 binary64) t))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))) t))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 t (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 t (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t (-.f64 x y)) (-.f64 (.f64 x x) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) t) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x y) t) (-.f64 (.f64 x x) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) t)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 x y) t))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 t (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 t (+.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (neg.f64 (.f64 t (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (neg.f64 (.f64 (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 y y))) (neg.f64 (*.f64 t (-.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 y y))) (neg.f64 (*.f64 (-.f64 x y) t)))
(/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) t) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) t) (-.f64 x y))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) t)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) t)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(pow.f64 (/.f64 t (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (+.f64 x y) t) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) t) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 #s(literal -1 binary64) t))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 t (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) t)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 x y))
(.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 t (-.f64 x y))))
(.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) t)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) t)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) t) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) t) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (pow.f64 (/.f64 t (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(.f64 (pow.f64 (/.f64 t (-.f64 (.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) t) (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y y) (-.f64 (.f64 x x) (.f64 x y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (.f64 y y) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (neg.f64 (+.f64 (.f64 y y) (-.f64 (.f64 x x) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 x x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (+.f64 (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y))) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (.f64 x y)))))
(*.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 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))

simplify472.0ms (3.9%)

Memory

-27.9MiB live, 735.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 746×	`accelerator-lowering-fma.f32`
8 746×	`accelerator-lowering-fma.f64`
5 790×	`-lowering-.f32`
5 790×	`-lowering-.f64`
3 308×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	3684
1	1283	3625
2	3850	3511
0	8082	3432

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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

eval241.0ms (2%)

Memory: 38.7MiB live, 469.4MiB allocated
Compiler: Compiled 29 600 to 2 523 computations (91.5% saved)

prune219.0ms (1.8%)

Memory

4.9MiB live, 387.8MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 515	7	1 522
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	1 518	13	1 531

Accuracy

100.0%

Counts

1 531 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.7%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
▶	65.9%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓	37.3%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
	35.4%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) t)
✓	35.1%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
	67.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z)))
✓	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x (-.f64 y z))))
▶	65.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x y)))
	85.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)))))
▶	35.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 t y))
	35.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 t x))
▶	37.2%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
▶	97.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))

Compiler

Compiled 255 to 187 computations (26.7% saved)

simplify296.0ms (2.4%)

Memory

-27.9MiB live, 314.0MiB allocated

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

Rules

3 728×	`accelerator-lowering-fma.f32`
3 728×	`accelerator-lowering-fma.f64`
1 664×	`div-sub`
1 536×	`-lowering-.f32`
1 536×	`-lowering-.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	22	94
1	46	94
2	86	94
3	134	92
4	231	92
5	407	92
6	788	90
7	1791	90
8	4146	90
9	5069	90
10	5603	90
11	5856	90
12	6012	90
13	6040	90
14	6748	90
15	7038	90
16	7106	90
17	7442	90
18	7780	90
0	8031	90

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize113.0ms (0.9%)

Memory

6.8MiB live, 122.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 t (+.f64 x y))
✓	accuracy	99.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x y)))
✓	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	99.6%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(/.f64 (-.f64 y z) t)
✓	accuracy	99.7%	(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))
✓	accuracy	97.9%	(+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t))

Samples

41.0ms

256×

valid

Compiler

Compiled 96 to 24 computations (75% saved)

Precisions

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

ival-div: 15.0ms (57.1% of total)

ival-mult: 5.0ms (19% of total)

ival-sub: 3.0ms (11.4% of total)

ival-add: 3.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Memory

11.0MiB live, 49.0MiB allocated

Counts

14 → 408

Calls

Call 1

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

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

102 calls:

Time	Variable		Point	Expression
7.0ms	t	@	-inf	(/ t y)
1.0ms	x	@	0	(/ t (+ x y))
1.0ms	t	@	-inf	(+ (/ (- y z) t) (/ x t))
0.0ms	t	@	inf	(/ 1/2 (/ t y))
0.0ms	y	@	0	(+ (/ (- y z) t) (/ x t))

rewrite458.0ms (3.7%)

Memory

14.8MiB live, 793.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 442×	`-lowering-.f32`
5 442×	`-lowering-.f64`
4 730×	`/-lowering-/.f32`
4 730×	`/-lowering-/.f64`
3 904×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
1	146	72
2	1283	72
0	8255	72

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 963

Calls

Call 1

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

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

simplify553.0ms (4.5%)

Memory

-20.8MiB live, 909.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 656×	`accelerator-lowering-fma.f32`
11 656×	`accelerator-lowering-fma.f64`
5 292×	`-lowering-.f32`
5 292×	`-lowering-.f64`
2 934×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	279	3111
1	862	3064
2	2530	2981
3	7658	2981
0	8192	2906

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

eval177.0ms (1.4%)

Memory: 13.9MiB live, 477.1MiB allocated
Compiler: Compiled 26 268 to 3 059 computations (88.4% saved)

prune163.0ms (1.3%)

Memory

17.5MiB live, 374.2MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	1 369	2	1 371
Fresh	2	3	5
Picked	0	5	5
Done	0	3	3
Total	1 371	13	1 384

Accuracy

100.0%

Counts

1 384 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.7%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	65.9%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓	37.3%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
▶	57.6%	(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (.f64 t #s(literal 2 binary64)))
▶	35.4%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
✓	35.1%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
▶	67.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z)))
✓	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x (-.f64 y z))))
✓	65.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x y)))
✓	35.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 t y))
▶	35.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 t x))
✓	37.2%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	97.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))

Compiler

Compiled 196 to 145 computations (26% saved)

simplify241.0ms (2%)

Memory

-6.1MiB live, 395.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

6 008×	`accelerator-lowering-fma.f32`
6 008×	`accelerator-lowering-fma.f64`
3 990×	`-lowering-.f32`
3 990×	`-lowering-.f64`
2 586×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	92
1	52	92
2	106	92
3	246	84
4	500	84
5	1111	84
6	2947	84
7	5461	84
0	8276	84

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize84.0ms (0.7%)

Memory

-6.4MiB live, 150.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	100.0%	(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (.f64 t #s(literal 2 binary64)))
✓	accuracy	87.8%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(/.f64 t (-.f64 x z))
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z)))
✓	accuracy	100.0%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 t x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 t x))
✓	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)))

Samples

40.0ms

256×

valid

Compiler

Compiled 94 to 23 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 13.0ms (59.9% of total)

ival-mult: 4.0ms (18.4% of total)

ival-sub: 3.0ms (13.8% of total)

ival-add: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

5.6MiB live, 44.0MiB allocated

Counts

14 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ x y)
1.0ms	t	@	0	(/ (* y (+ 1 (/ x y))) (* t 2))
1.0ms	t	@	inf	(/ (* y (+ 1 (/ x y))) (* t 2))
0.0ms	y	@	-inf	(* y (+ 1 (/ x y)))
0.0ms	t	@	-inf	(/ t (- x z))

rewrite429.0ms (3.5%)

Memory

-0.7MiB live, 640.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 522×	`accelerator-lowering-fma.f32`
5 522×	`accelerator-lowering-fma.f64`
5 002×	`-lowering-.f32`
5 002×	`-lowering-.f64`
4 314×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	70
1	138	70
2	1007	62
0	9147	62

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 977

Calls

Call 1

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

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

simplify507.0ms (4.1%)

Memory

-16.5MiB live, 721.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 942×	`accelerator-lowering-fma.f32`
6 942×	`accelerator-lowering-fma.f64`
4 062×	`-lowering-.f32`
4 062×	`-lowering-.f64`
3 202×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	2372
1	774	2336
2	2283	2166
3	6394	2157
0	8230	2101

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval175.0ms (1.4%)

Memory: 17.7MiB live, 453.7MiB allocated
Compiler: Compiled 19 416 to 2 424 computations (87.5% saved)

prune668.0ms (5.5%)

Memory

-4.5MiB live, 316.1MiB allocated

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	1 363	0	1 363
Fresh	0	0	0
Picked	0	5	5
Done	0	8	8
Total	1 363	13	1 376

Accuracy

100.0%

Counts

1 376 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.7%	(/.f64 (-.f64 y z) (*.f64 t #s(literal 2 binary64)))
✓	65.9%	(/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64)))
✓	37.3%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) t)
✓	57.6%	(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (.f64 t #s(literal 2 binary64)))
✓	35.4%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
✓	35.1%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
✓	67.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z)))
✓	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x (-.f64 y z))))
✓	65.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x y)))
✓	35.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 t y))
✓	35.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 t x))
✓	37.2%	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
✓	97.3%	(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 y z) t) (/.f64 x t)))

Compiler

Compiled 334 to 174 computations (47.9% saved)

regimes56.0ms (0.5%)

Memory

-1.3MiB live, 95.1MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	(+.f64 x y)
8.0ms	z
6.0ms	(*.f64 t #s(literal 2 binary64))
6.0ms	(-.f64 (+.f64 x y) z)
6.0ms	t

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)

regimes69.0ms (0.6%)

Memory

-15.8MiB live, 59.0MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	x
23.0ms	(*.f64 t #s(literal 2 binary64))
5.0ms	t
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(+.f64 x y)`
99.6%	1	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes34.0ms (0.3%)

Memory

-7.9MiB live, 71.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

6 calls:

8.0ms	t
6.0ms	x
5.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	z
4.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
92.8%	2	`x`
90.6%	2	`y`
89.0%	3	`z`
76.6%	5	`t`
99.2%	2	`(+.f64 x y)`
76.6%	5	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes13.0ms (0.1%)

Memory

34.8MiB live, 34.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	(+.f64 x y)
4.0ms	y

Results

Accuracy	Segments	Branch
87.2%	2	`y`
75.5%	2	`x`
87.5%	2	`(+.f64 x y)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes10.0ms (0.1%)

Memory

-15.4MiB live, 23.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(+.f64 x y)
4.0ms	z

Results

Accuracy	Segments	Branch
88.5%	3	`z`
87.4%	2	`(+.f64 x y)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
87.2%	2	`(+.f64 x y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

-9.4MiB live, 29.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(+.f64 x y)
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
82.7%	3	`z`
65.6%	1	`y`
77.9%	3	`(+.f64 x y)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes15.0ms (0.1%)

Memory

-5.2MiB live, 36.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

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	t
3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
62.4%	3	`y`
42.8%	4	`t`
64.8%	3	`x`
60.9%	4	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 #s(literal 1/2 binary64) (/.f64 t x))
(/.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 y #s(literal 1/2 binary64)) 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
64.8%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(/.f64 #s(literal 1/2 binary64) (/.f64 t x))
(/.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
64.7%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

-32.5MiB live, 7.2MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.7%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
57.8%	3	`z`
42.6%	2	`y`
56.4%	2	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0.1%)

Memory

-20.0MiB live, 19.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.2%	1	`t`
37.2%	1	`y`
37.2%	1	`z`
37.2%	1	`x`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4850934492310767e-230	-1.5946813913898138e-238

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.8963570049729795e+39	2.5578162511443835e+40

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.8963570049729795e+39	2.5578162511443835e+40

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.8963570049729795e+39	2.5578162511443835e+40

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch43.0ms (0.4%)

Memory

7.0MiB live, 44.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	3.0929720908474904e+135	1.2461947785790378e+138
9.0ms	-5.567891513178656e+22	-4.235695615022289e+20

Samples

33.0ms

240×

valid

Compiler

Compiled 346 to 271 computations (21.7% saved)

Precisions

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

ival-add: 22.0ms (81.7% of total)

ival-div: 2.0ms (7.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Memory

-1.6MiB live, 37.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.5946813913898138e-238	-2.294788116297509e-243
12.0ms	-3.4634036084082675e+36	-1.689059411441766e+29

Samples

20.0ms

288×

valid

Compiler

Compiled 376 to 304 computations (19.1% saved)

Precisions

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

ival-div: 2.0ms (29.5% of total)

ival-add: 2.0ms (29.5% of total)

ival-mult: 2.0ms (29.5% of total)

ival-sub: 1.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Memory

0.9MiB live, 40.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.5946813913898138e-238	-2.294788116297509e-243
12.0ms	-3.4634036084082675e+36	-1.689059411441766e+29

Samples

14.0ms

288×

valid

Compiler

Compiled 376 to 304 computations (19.1% 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 (14.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.4%)

Memory

3.6MiB live, 42.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-1.5946813913898138e-238	-2.294788116297509e-243
12.0ms	-3.4634036084082675e+36	-1.689059411441766e+29

Samples

42.0ms

288×

valid

Compiler

Compiled 376 to 304 computations (19.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 29.0ms (84.4% of total)

ival-add: 2.0ms (5.8% of total)

ival-mult: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Memory

0.6MiB live, 39.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-1.5946813913898138e-238	-2.294788116297509e-243
12.0ms	-3.4634036084082675e+36	-1.689059411441766e+29

Samples

14.0ms

288×

valid

Compiler

Compiled 376 to 304 computations (19.1% saved)

Precisions

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

ival-div: 2.0ms (29.6% of total)

ival-add: 2.0ms (29.6% of total)

ival-mult: 2.0ms (29.6% of total)

ival-sub: 1.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.4634036084082675e+36	-1.689059411441766e+29

Samples

7.0ms

144×

valid

Compiler

Compiled 196 to 160 computations (18.4% saved)

Precisions

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

ival-sub: 1.0ms (29.1% of total)

ival-div: 1.0ms (29.1% of total)

ival-add: 1.0ms (29.1% of total)

ival-mult: 1.0ms (29.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify32.0ms (0.3%)

Memory

-34.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	230
1	91	230
2	98	230
3	100	230
4	101	230

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 x (-.f64 y z))))
(if (<=.f64 (+.f64 x y) #s(literal -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 5000000000000000151893014213501833445376 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 5000000000000000151893014213501833445376 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z))) (/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 5000000000000000151893014213501833445376 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z))) (/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x y))))
(if (<=.f64 z #s(literal -55000000000000002097152 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 8200000000000000042062823139832437957972615907883770962186860326350056327472038187883820050665339656599594850579314805385438489598754816 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x y))) (/.f64 (.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 x #s(literal -58000000000000000590358287220736 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 x #s(literal -1876879207201175/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 x #s(literal -639999999999999965168147831707402240 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 x #s(literal -8648659386783015/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 x #s(literal -22999999999999998171769560398561280 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 x #s(literal -7132140987364465/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 x #s(literal -139999999999999999298061365827076096 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t x)) (if (<=.f64 x #s(literal -1700921781526065/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 x #s(literal -11999999999999999346902771844513792 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t x)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)

Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x (-.f64 y z))))
(if (<=.f64 (+.f64 x y) #s(literal -8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (-.f64 y z) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 5000000000000000151893014213501833445376 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 y x) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 5000000000000000151893014213501833445376 binary64)) (/.f64 (-.f64 x z) (.f64 t #s(literal 2 binary64))) (/.f64 (+.f64 x y) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 5000000000000000151893014213501833445376 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z))) (/.f64 (+.f64 y x) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 5000000000000000151893014213501833445376 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z))) (/.f64 (+.f64 x y) (*.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 5000000000000000151893014213501833445376 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (-.f64 x z))) (/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x y))))
(if (<=.f64 z #s(literal -55000000000000002097152 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (if (<=.f64 z #s(literal 8200000000000000042062823139832437957972615907883770962186860326350056327472038187883820050665339656599594850579314805385438489598754816 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t (+.f64 x y))) (/.f64 (.f64 z #s(literal -1/2 binary64)) t)))
(if (<=.f64 x #s(literal -58000000000000000590358287220736 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 x #s(literal -1876879207201175/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 x #s(literal -58000000000000000590358287220736 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 x #s(literal -1876879207201175/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416 binary64)) (/.f64 (.f64 z #s(literal -1/2 binary64)) t) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 x #s(literal -639999999999999965168147831707402240 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 x #s(literal -8648659386783015/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 x #s(literal -639999999999999965168147831707402240 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 x #s(literal -8648659386783015/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 x #s(literal -22999999999999998171769560398561280 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (if (<=.f64 x #s(literal -7132140987364465/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 x #s(literal -22999999999999998171769560398561280 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) t) (if (<=.f64 x #s(literal -7132140987364465/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) (.f64 z (/.f64 #s(literal -1/2 binary64) t)) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 x #s(literal -139999999999999999298061365827076096 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t x)) (if (<=.f64 x #s(literal -1700921781526065/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 x #s(literal -139999999999999999298061365827076096 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t x)) (if (<=.f64 x #s(literal -1700921781526065/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104 binary64)) (*.f64 z (/.f64 #s(literal -1/2 binary64) t)) (/.f64 #s(literal 1/2 binary64) (/.f64 t y))))
(if (<=.f64 x #s(literal -11999999999999999346902771844513792 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t x)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
(if (<=.f64 x #s(literal -11999999999999999346902771844513792 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 t x)) (*.f64 z (/.f64 #s(literal -1/2 binary64) t)))
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
(*.f64 z (/.f64 #s(literal -1/2 binary64) t))

soundness2.8s (22.7%)

Memory

-2.1MiB live, 2 641.2MiB allocated

Rules

8 746×	`accelerator-lowering-fma.f32`
8 746×	`accelerator-lowering-fma.f64`
7 612×	`accelerator-lowering-fma.f32`
7 612×	`accelerator-lowering-fma.f64`
5 790×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	3684
1	1283	3625
2	3850	3511
0	8082	3432
0	103	728
1	314	728
2	876	728
3	2929	650
4	7509	650
0	8709	650
0	9	20
1	53	20
2	469	20
3	7788	20
0	8227	20
0	23	77
1	156	77
2	1495	77
0	8425	77

Stop Event

1×	done
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 635 to 372 computations (41.4% saved)

preprocess150.0ms (1.2%)

Memory

11.2MiB live, 204.4MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 658 to 278 computations (57.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze179.0ms (1.5%)

sample862.0ms (7%)

preprocess510.0ms (4.2%)

explain81.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify200.0ms (1.6%)

localize32.0ms (0.3%)

series208.0ms (1.7%)

rewrite365.0ms (3%)

simplify343.0ms (2.8%)

eval79.0ms (0.6%)

prune167.0ms (1.4%)

simplify322.0ms (2.6%)

localize80.0ms (0.7%)

series33.0ms (0.3%)

rewrite545.0ms (4.4%)

simplify472.0ms (3.9%)

eval241.0ms (2%)

prune219.0ms (1.8%)

simplify296.0ms (2.4%)

localize113.0ms (0.9%)

series26.0ms (0.2%)

rewrite458.0ms (3.7%)

simplify553.0ms (4.5%)

eval177.0ms (1.4%)

prune163.0ms (1.3%)

simplify241.0ms (2%)

localize84.0ms (0.7%)

series18.0ms (0.1%)

rewrite429.0ms (3.5%)

simplify507.0ms (4.1%)

eval175.0ms (1.4%)

prune668.0ms (5.5%)

regimes56.0ms (0.5%)

regimes69.0ms (0.6%)

regimes34.0ms (0.3%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

regimes15.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch43.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch53.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch13.0ms (0.1%)

simplify32.0ms (0.3%)

soundness2.8s (22.7%)

preprocess150.0ms (1.2%)

end0.0ms (0%)

Profiling