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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze225.0ms (3.4%)

Memory

-6.8MiB live, 81.2MiB 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)

sample1.2s (18.7%)

Memory

22.9MiB live, 848.7MiB allocated

Samples

786.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 375.0ms

ival-add: 137.0ms (36.5% of total)

ival-div: 130.0ms (34.7% of total)

ival-mult: 51.0ms (13.6% of total)

ival-sub: 42.0ms (11.2% of total)

ival-true: 7.0ms (1.9% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain114.0ms (1.7%)

Memory

-25.0MiB live, 223.2MiB 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

55.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 24.0ms (65.9% of total)

ival-add: 6.0ms (16.5% of total)

ival-div: 4.0ms (11% of total)

ival-sub: 2.0ms (5.5% of total)

ival-true: 1.0ms (2.7% of total)

exact: 0.0ms (0% of total)

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

preprocess230.0ms (3.5%)

Memory

-3.1MiB live, 195.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	141
1	170	126
2	511	126
3	1660	126
4	5370	126
5	7727	126
0	9	9
0	13	9
1	24	9
2	48	9
3	83	9
4	166	9
5	301	9
6	587	9
7	1372	9
8	2733	9
9	4698	9
10	5064	9
11	5108	9
12	5116	9
13	5116	9
14	5508	9
15	5676	9
16	5676	9
17	5676	9
0	5676	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs t)

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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 9 to 9 computations (0% saved)

simplify176.0ms (2.6%)

Memory

14.0MiB live, 92.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	24	25
2	48	25
3	83	25
4	166	25
5	301	25
6	587	25
7	1372	25
8	2733	25
9	4698	25
10	5064	25
11	5108	25
12	5116	25
13	5116	25
14	5508	25
15	5676	25
16	5676	25
17	5676	25
0	5676	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (1.3%)

Memory

10.9MiB live, 91.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (+.f64 x y) z)
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Samples

80.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 12.0ms (69.4% of total)

ival-add: 2.0ms (11.6% of total)

ival-mult: 2.0ms (11.6% of total)

ival-sub: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-34.5MiB live, 41.4MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor inf t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor inf t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor inf t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor inf t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ x y) t)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) (taylor inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) (taylor -inf z) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- x z) t)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) (taylor inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) (patch (/.f64 (-.f64 (+.f64 x y) z) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) z) (patch (-.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	t	@	0	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))
1.0ms	z	@	-inf	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))
1.0ms	t	@	-inf	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))
1.0ms	t	@	inf	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))
1.0ms	z	@	inf	((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2))

simplify171.0ms (2.6%)

Memory

18.4MiB live, 262.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	650
1	314	650
2	876	650
3	2929	650
4	7535	650
0	8737	650

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 110

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

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

rewrite189.0ms (2.8%)

Memory

-3.4MiB live, 312.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20

Stop Event

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

Counts

4 → 505

Calls

Call 1

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

Outputs
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eval118.0ms (1.8%)

Memory: 25.9MiB live, 141.5MiB allocated
Compiler: Compiled 13 143 to 1 485 computations (88.7% saved)

prune94.0ms (1.4%)

Memory

-16.3MiB live, 59.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	607	8	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	608	8	616

Accuracy

100.0%

Counts

616 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
	64.8%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
▶	71.7%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
	33.4%	(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
▶	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
▶	41.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
	35.1%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
▶	33.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Compiler

Compiled 124 to 138 computations (-11.3% saved)

simplify198.0ms (3%)

Memory

-1.4MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	896	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
cost-diff	0	(*.f64 t #s(literal 2 binary64))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (- (+ x y) z) (+.f64 y x))
cost-diff	0	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) 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	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
cost-diff	0	(+.f64 y x)
cost-diff	0	(-.f64 (+.f64 y x) z)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	139
0	39	136
1	75	136
2	146	136
3	239	136
4	391	136
5	647	136
6	1246	136
7	2522	136
8	4252	136
9	5660	136
10	6433	136
11	6504	136
12	6531	136
13	6549	136
14	6743	136
15	6909	136
16	6933	136
17	6933	136
0	6933	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (1%)

Memory

-14.8MiB live, 94.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(-.f64 y z)
accuracy	0.19140625	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))
accuracy	0.8242104928166806	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
accuracy	19.069601604705642	#s(approx (- (+ x y) z) (+.f64 y x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.20703125	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
accuracy	37.24677933454082	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
accuracy	0	(/.f64 #s(literal -1/2 binary64) t)
accuracy	0.22265625	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
accuracy	42.59996948957324	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(-.f64 (+.f64 y x) z)
accuracy	0	(+.f64 y x)
accuracy	0.19140625	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))

Samples

50.0ms

256×

valid

Compiler

Compiled 122 to 24 computations (80.3% saved)

Precisions

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

ival-div: 9.0ms (35.9% of total)

ival-mult: 8.0ms (31.9% of total)

ival-sub: 3.0ms (12% of total)

ival-add: 3.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.8%)

Memory

16.5MiB live, 59.2MiB allocated

Counts

15 → 480

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) t) z) (patch (.f64 (/.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1/2 binary64) t) (patch (/.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) y) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 2 binary64)) (patch (.f64 t #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 y x) z) (patch (-.f64 (+.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) y)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (patch (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x y) z) (+.f64 y x)) (patch #s(approx (- (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x (.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 y z))) #<representation binary64>) () ())) ())

Calls

12 calls:

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

simplify149.0ms (2.2%)

Memory

22.7MiB live, 123.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	3111
1	540	3111
2	1524	3109
3	5105	3097
0	8265	3079

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 463

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

rewrite217.0ms (3.3%)

Memory

-14.2MiB live, 309.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	110
0	39	107
1	167	107
2	1305	107
0	8288	107

Stop Event

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

Counts

15 → 1 641

Calls

Call 1

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

Outputs
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eval281.0ms (4.2%)

Memory: 0.7MiB live, 513.1MiB allocated
Compiler: Compiled 49 621 to 3 217 computations (93.5% saved)

prune45.0ms (0.7%)

Memory

14.8MiB live, 132.0MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	2 246	5	2 251
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	2 252	7	2 259

Accuracy

100.0%

Counts

2 259 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))))
	64.8%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
✓	71.7%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
▶	64.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
▶	41.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
▶	33.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
▶	35.2%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))

Compiler

Compiled 98 to 113 computations (-15.3% saved)

simplify269.0ms (4%)

Memory

-29.2MiB live, 68.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	156
0	46	156
1	80	156
2	123	156
3	181	156
4	309	156
5	501	156
6	921	156
7	1881	156
8	3565	156
9	5249	156
10	6817	156
11	6912	156
12	6955	156
13	6977	156
14	7211	156
15	7307	156
16	7391	156
17	7461	156
18	7461	156
19	7461	156
20	7477	156
21	7497	156
22	7505	156
0	7505	156

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (0.9%)

Memory

12.3MiB live, 88.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0	(-.f64 x z)
accuracy	0.19140625	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
accuracy	24.082436179899542	#s(approx (- (+ y x) z) (-.f64 x z))
accuracy	0	(/.f64 (*.f64 y #s(literal 1/2 binary64)) t)
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	37.24677933454082	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.00390625	(/.f64 (*.f64 #s(literal -1/2 binary64) z) t)
accuracy	42.59996948957324	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
accuracy	0	(/.f64 x t)
accuracy	0.00390625	(*.f64 (/.f64 x t) #s(literal 1/2 binary64))
accuracy	41.45298120445267	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.00390625	(*.f64 (/.f64 y t) #s(literal 1/2 binary64))
accuracy	0.8242104928166806	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))))
accuracy	26.381195208468046	#s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))

Samples

48.0ms

256×

valid

Compiler

Compiled 121 to 30 computations (75.2% saved)

Precisions

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

ival-mult: 11.0ms (35.1% of total)

ival-div: 10.0ms (31.9% of total)

ival-sub: 6.0ms (19.1% of total)

ival-add: 4.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.6%)

Memory

17.7MiB live, 57.6MiB allocated

Counts

16 → 492

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) z) (patch (.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())

Outputs
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 t) (#s(alt #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 t) (#s(alt #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 t) (#s(alt #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 t) (#s(alt #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (.f64 (/.f64 y t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ z t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -1/2 binary64) z) t) (patch (/.f64 (.f64 #s(literal -1/2 binary64) z) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (/.f64 (.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (/.f64 (.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (/.f64 (.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor 0 t) (#s(alt (/.f64 (.f64 y #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 y #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor inf t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor inf t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor inf t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 (- y z))) t) (taylor inf t) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 t) (taylor inf t) (#s(alt (/.f64 #s(literal 1/2 binary64) t) (patch (/.f64 #s(literal 1/2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor inf t) (#s(alt #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor inf t) (#s(alt #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor inf t) (#s(alt #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor inf t) (#s(alt #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64))) (patch #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor inf t) (#s(alt (.f64 (/.f64 y t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor inf t) (#s(alt (.f64 (/.f64 y t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor inf t) (#s(alt (.f64 (/.f64 y t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y t)) (taylor inf t) (#s(alt (.f64 (/.f64 y t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf t) (#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- y z) (* t x))) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (.f64 (/.f64 y t) #s(literal 1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx ( (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (.f64 (/.f64 x t) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 x t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 y #s(literal 1/2 binary64)) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z))
5.0ms	x	@	inf	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z))
2.0ms	t	@	0	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z))
2.0ms	t	@	-inf	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z))
2.0ms	t	@	inf	((+ (* (/ 1/2 t) x) (* (/ 1/2 t) (- y z))) (/ 1/2 t) (* (/ 1/2 t) (- y z)) (* (/ y t) 1/2) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (* t 2)) (/ (* y 1/2) t) (* y 1/2) (* (/ 1/2 t) (- (+ y x) z)) (- (+ y x) z) (- x z))

simplify147.0ms (2.2%)

Memory

12.1MiB live, 163.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	3213
1	503	3213
2	1434	3191
3	4540	3185
0	8247	3170

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 485

Calls

Call 1

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

rewrite156.0ms (2.3%)

Memory

2.2MiB live, 192.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	133
0	46	133
1	189	133
2	1314	133
0	8367	133

Stop Event

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

Counts

16 → 297

Calls

Call 1

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

Outputs
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eval145.0ms (2.2%)

Memory: -34.1MiB live, 175.3MiB allocated
Compiler: Compiled 9 342 to 909 computations (90.3% saved)

prune52.0ms (0.8%)

Memory

21.8MiB live, 61.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	810	1	811
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	811	7	818

Accuracy

100.0%

Counts

818 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.4%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))))
▶	64.8%	(/.f64 (*.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t)
✓	71.7%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
✓	64.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
✓	41.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
✓	33.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	35.2%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))

Compiler

Compiled 53 to 61 computations (-15.1% saved)

simplify18.0ms (0.3%)

Memory

-26.1MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	14	40
1	22	40
2	36	40
3	55	40
4	83	40
5	134	40
6	240	40
7	310	40
8	411	40
9	450	40
10	466	40
0	466	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.f64 (*.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t)
accuracy	24.082436179899542	#s(approx (- (+ y x) z) (-.f64 x z))

Samples

16.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-div: 2.0ms (26.5% of total)

ival-sub: 2.0ms (26.5% of total)

ival-mult: 2.0ms (26.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- x z) y)) 1/2))) (taylor -inf y) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- x z) y)) 1/2))) (taylor -inf y) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ (- x z) y)) 1/2))) (taylor -inf y) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- x z) y)) 1))) (taylor -inf y) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- y z) t)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- y z)) (taylor 0 x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 (- y z))) (taylor 0 x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 (- y z))) (taylor 0 x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 (- y z))) (taylor 0 x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) z) (taylor 0 x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (- x z) (taylor 0 x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (- x z) (taylor 0 x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (- x z) (taylor 0 x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ (- y z) x)))) (taylor inf x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ (- y z) x)))) (taylor inf x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ (- y z) x)))) (taylor inf x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) (patch (/.f64 (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- y z) x)) 1/2))) (taylor -inf x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- y z) x)) 1/2))) (taylor -inf x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (- y z) x)) 1/2))) (taylor -inf x) (#s(alt (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ y x) z) (-.f64 x z)) (patch #s(approx (- (+ y x) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())

Calls

12 calls:

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

simplify240.0ms (3.6%)

Memory

-14.7MiB live, 144.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1007
1	406	1007
2	1122	965
3	3334	947
0	8309	926

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 137

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

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

rewrite179.0ms (2.7%)

Memory

-5.8MiB live, 150.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	14	36
1	63	36
2	473	36
3	6704	36
0	8104	36

Stop Event

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

Counts

4 → 132

Calls

Call 1

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

Outputs
#<batchref>
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eval51.0ms (0.8%)

Memory: 14.3MiB live, 50.4MiB allocated
Compiler: Compiled 3 979 to 644 computations (83.8% saved)

prune33.0ms (0.5%)

Memory

-15.9MiB live, 22.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	269	7	276

Accuracy

100.0%

Counts

276 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.4%	(fma.f64 (/.f64 #s(literal 1/2 binary64) t) x #s(approx (* (/ 1/2 t) (- y z)) (*.f64 (/.f64 y t) #s(literal 1/2 binary64))))
✓	64.8%	(/.f64 (*.f64 #s(approx (- (+ y x) z) (-.f64 x z)) #s(literal 1/2 binary64)) t)
✓	71.7%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
✓	64.6%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
✓	41.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
✓	33.4%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	35.2%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64)))

Compiler

Compiled 169 to 111 computations (34.3% saved)

regimes70.0ms (1.1%)

Memory

20.1MiB live, 103.0MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

8 calls:

29.0ms	y
9.0ms	(-.f64 (+.f64 x y) z)
6.0ms	(*.f64 t #s(literal 2 binary64))
5.0ms	t
5.0ms	x

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 24 to 42 computations (-75% saved)

regimes79.0ms (1.2%)

Memory

-7.7MiB live, 68.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

45.0ms	y
6.0ms	(+.f64 x y)
5.0ms	(*.f64 t #s(literal 2 binary64))
5.0ms	t
5.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`t`
99.7%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
99.7%	1	`(-.f64 (+.f64 x y) z)`
99.7%	1	`(+.f64 x y)`
99.7%	1	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 24 to 42 computations (-75% saved)

regimes43.0ms (0.6%)

Memory

6.2MiB live, 85.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	z
7.0ms	(+.f64 x y)
4.0ms	(-.f64 (+.f64 x y) z)
4.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	x

Results

Accuracy	Segments	Branch
78.2%	2	`x`
89.9%	2	`y`
89.6%	3	`z`
73.6%	2	`t`
87.4%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
87.1%	2	`(-.f64 (+.f64 x y) z)`
90.1%	2	`(+.f64 x y)`
73.6%	2	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 24 to 42 computations (-75% saved)

regimes4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
89.9%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes9.0ms (0.1%)

Memory

-22.6MiB live, 15.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.8%	2	`y`
89.7%	2	`(+.f64 x y)`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes21.0ms (0.3%)

Memory

10.7MiB live, 47.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

5.0ms	(-.f64 (+.f64 x y) z)
3.0ms	y
3.0ms	z
3.0ms	(+.f64 x y)
3.0ms	x

Results

Accuracy	Segments	Branch
65.1%	3	`x`
71.0%	2	`(-.f64 (+.f64 x y) z)`
71.0%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
71.2%	3	`y`
67.9%	5	`z`
78.1%	3	`(+.f64 x y)`

Compiler

Compiled 20 to 32 computations (-60% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
78.0%	3	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
77.9%	3	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
77.9%	3	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.3%)

Memory

-10.0MiB live, 28.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

10.0ms	t
2.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
2.0ms	(*.f64 t #s(literal 2 binary64))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
56.1%	3	`z`
50.7%	2	`x`
46.3%	2	`y`
47.9%	2	`(-.f64 (+.f64 x y) z)`
48.0%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
38.6%	3	`t`
38.6%	3	`(*.f64 t #s(literal 2 binary64))`
52.5%	2	`(+.f64 x y)`

Compiler

Compiled 24 to 42 computations (-75% saved)

regimes40.0ms (0.6%)

Memory

-19.4MiB live, 24.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

30.0ms	t
1.0ms	z
1.0ms	(*.f64 t #s(literal 2 binary64))
1.0ms	(-.f64 (+.f64 x y) z)
1.0ms	y

Results

Accuracy	Segments	Branch
33.4%	1	`t`
33.4%	1	`(*.f64 t #s(literal 2 binary64))`
33.4%	1	`y`
33.4%	1	`(-.f64 (+.f64 x y) z)`
33.4%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
33.4%	1	`x`
33.4%	1	`(+.f64 x y)`
33.4%	1	`z`

Compiler

Compiled 24 to 42 computations (-75% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5774082196643615e-19	3.844505171507244e-12

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5774082196643615e-19	3.844505171507244e-12

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5774082196643615e-19	3.844505171507244e-12

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4460433389126474e-39	1.250888187692303e-27
0.0ms	-4741.725448341974	-3.7306772977561567e-6

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4460433389126474e-39	1.250888187692303e-27
0.0ms	-4741.725448341974	-3.7306772977561567e-6

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4460433389126474e-39	1.250888187692303e-27
0.0ms	-4741.725448341974	-3.7306772977561567e-6

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4460433389126474e-39	1.250888187692303e-27
0.0ms	-4741.725448341974	-3.7306772977561567e-6

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch49.0ms (0.7%)

Memory

0.8MiB live, 37.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.54401849276242e+39	7.259960305480601e+41
11.0ms	-3.992052352385116e-64	-7.311012759262868e-68

Samples

12.0ms

240×

valid

Compiler

Compiled 192 to 286 computations (-49% saved)

Precisions

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

ival-div: 2.0ms (33.6% of total)

ival-sub: 1.0ms (16.8% of total)

ival-add: 1.0ms (16.8% of total)

ival-mult: 1.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify45.0ms (0.7%)

Memory

20.0MiB live, 59.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	412
1	81	412
2	87	412
3	89	412
4	90	412

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(if (<=.f64 (+.f64 x y) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))))
(if (<=.f64 (+.f64 x y) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 z #s(literal -722542636840853/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (if (<=.f64 z #s(literal 41000000000000001608200462435103786663936 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 #s(literal 2 binary64) t))
(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(*.f64 (-.f64 (+.f64 y x) z) (/.f64 #s(literal 1/2 binary64) t))
(if (<=.f64 (+.f64 x y) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 y x) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 #s(literal 2 binary64) t)))
(if (<=.f64 (+.f64 x y) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))))
(if (<=.f64 (+.f64 y x) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 #s(literal 2 binary64) t)))
(if (<=.f64 (+.f64 x y) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t)))
(if (<=.f64 (+.f64 y x) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t)))
(if (<=.f64 (+.f64 x y) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))))
(if (<=.f64 (+.f64 y x) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) t))))
(if (<=.f64 (+.f64 x y) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 y x) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 y x) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 y x) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 x y) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 (+.f64 y x) #s(literal -4000 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 y x) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))))
(if (<=.f64 z #s(literal -722542636840853/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal -1/2 binary64) t) z)) (if (<=.f64 z #s(literal 41000000000000001608200462435103786663936 binary64)) #s(approx (/ (- (+ x y) z) ( t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) #s(approx (/ (- (+ x y) z) ( t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))))
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

soundness1.1s (16.2%)

Memory

-30.4MiB live, 586.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	650
1	314	650
2	876	650
3	2929	650
4	7535	650
0	8737	650
0	26	110
0	39	107
1	167	107
2	1305	107
0	8288	107
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20
0	177	3111
1	540	3111
2	1524	3109
3	5105	3097
0	8265	3079

Stop Event

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

Compiler

Compiled 469 to 308 computations (34.3% saved)

preprocess89.0ms (1.3%)

Memory

-1.4MiB live, 116.1MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 594 to 242 computations (59.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	40
0	14	40
1	22	40
2	36	40
3	55	40
4	83	40
5	134	40
6	240	40
7	310	40
8	411	40
9	450	40
10	466	40
0	466	40

Iter	Nodes	Cost
0	11	40
0	14	40
1	22	40
2	36	40
3	55	40
4	83	40
5	134	40
6	240	40
7	310	40
8	411	40
9	450	40
10	466	40
0	466	40

start0.0ms (0%)

analyze225.0ms (3.4%)

sample1.2s (18.7%)

explain114.0ms (1.7%)

preprocess230.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify176.0ms (2.6%)

localize86.0ms (1.3%)

series17.0ms (0.3%)

simplify171.0ms (2.6%)

rewrite189.0ms (2.8%)

eval118.0ms (1.8%)

prune94.0ms (1.4%)

simplify198.0ms (3%)

localize69.0ms (1%)

series53.0ms (0.8%)

simplify149.0ms (2.2%)

rewrite217.0ms (3.3%)

eval281.0ms (4.2%)

prune45.0ms (0.7%)

simplify269.0ms (4%)

localize63.0ms (0.9%)

series42.0ms (0.6%)

simplify147.0ms (2.2%)

rewrite156.0ms (2.3%)

eval145.0ms (2.2%)

prune52.0ms (0.8%)

simplify18.0ms (0.3%)

localize22.0ms (0.3%)

series10.0ms (0.1%)

simplify240.0ms (3.6%)

rewrite179.0ms (2.7%)

eval51.0ms (0.8%)

prune33.0ms (0.5%)

regimes70.0ms (1.1%)

regimes79.0ms (1.2%)

regimes43.0ms (0.6%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes21.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes22.0ms (0.3%)

regimes40.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch49.0ms (0.7%)

simplify45.0ms (0.7%)

soundness1.1s (16.2%)

preprocess89.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	40
0	14	40
1	22	40
2	36	40
3	55	40
4	83	40
5	134	40
6	240	40
7	310	40
8	411	40
9	450	40
10	466	40
0	466	40