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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze229.0ms (3%)

Memory

5.6MiB live, 89.2MiB 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)

sample1.5s (19.3%)

Memory

-20.4MiB live, 811.1MiB allocated

Samples

862.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 466.0ms

ival-mult: 166.0ms (35.6% of total)

ival-add: 145.0ms (31.1% of total)

ival-sub: 84.0ms (18% of total)

ival-div: 57.0ms (12.2% of total)

ival-true: 7.0ms (1.5% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain136.0ms (1.8%)

Memory

3.8MiB live, 177.9MiB 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

45.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 14.0ms (57.1% of total)

ival-div: 4.0ms (16.3% of total)

ival-mult: 4.0ms (16.3% of total)

ival-sub: 2.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess239.0ms (3.2%)

Memory

24.5MiB live, 176.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2 832×	`lower-fma.f64`
2 832×	`lower-fma.f32`
1 518×	`sub-neg`
1 490×	`div-sub`
1 298×	`div-sub`

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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify157.0ms (2.1%)

Memory

3.4MiB live, 78.6MiB 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)))

Rules

2 832×	`lower-fma.f64`
2 832×	`lower-fma.f32`
1 490×	`div-sub`
1 104×	`lower-*.f32`
1 102×	`lower-*.f64`

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)

localize51.0ms (0.7%)

Memory

-6.9MiB live, 77.0MiB 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	0.01171875	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 2.0ms (30.7% of total)

ival-add: 2.0ms (30.7% of total)

ival-mult: 2.0ms (30.7% of total)

ival-sub: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Memory

-5.2MiB live, 34.0MiB 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
19.0ms	z	@	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	@	0	((/ (- (+ 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))

simplify176.0ms (2.3%)

Memory

-8.5MiB live, 277.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 612×	`lower-fma.f64`
7 612×	`lower-fma.f32`
3 776×	`lower-*.f64`
3 776×	`lower-*.f32`
2 500×	`lower--.f64`

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)))
(+.f64 y x)
(* 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)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* 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)

rewrite306.0ms (4.1%)

Memory

-1.0MiB live, 311.9MiB allocated

Rules

5 046×	`lower-*.f32`
5 044×	`lower-*.f64`
4 338×	`lower-/.f32`
4 336×	`lower-/.f64`
3 708×	`lower-fma.f64`

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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eval73.0ms (1%)

Memory: 2.5MiB live, 193.7MiB allocated
Compiler: Compiled 13 143 to 1 485 computations (88.7% saved)

prune17.0ms (0.2%)

Memory

23.1MiB live, 62.6MiB 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
	69.1%	(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64)))
▶	70.3%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
	36.8%	(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t))
▶	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
▶	36.6%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y))
	37.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
▶	36.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z))

Compiler

Compiled 122 to 142 computations (-16.4% saved)

simplify283.0ms (3.7%)

Memory

-23.0MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z (+.f64 y x))
cost-diff	0	(/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x)))
cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t))
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))

Rules

3 120×	`lower-fma.f64`
3 120×	`lower-fma.f32`
1 392×	`lower-*.f32`
1 390×	`div-sub`
1 382×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	150
0	42	148
1	81	148
2	168	148
3	330	148
4	741	148
5	1909	148
6	4807	148
7	5819	148
8	6400	148
9	6656	148
10	6726	148
11	6745	148
12	7283	148
13	7531	148
14	7531	148
15	7539	148
16	7539	148
17	7575	148
18	7659	148
19	7684	148
0	7684	148

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

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

localize114.0ms (1.5%)

Memory

-13.9MiB live, 140.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z (+.f64 y x))
accuracy	0	(+.f64 y x)
accuracy	0.1953125	(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)
accuracy	0.3714155013078967	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 t #s(literal 2 binary64))
accuracy	0.01171875	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
accuracy	20.745202950974317	#s(approx (- (+ x y) z) (+.f64 y x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.1796875	(*.f64 (/.f64 #s(literal 1/2 binary64) t) y)
accuracy	40.50285741751161	#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	0.15625	(*.f64 (/.f64 #s(literal -1/2 binary64) t) z)
accuracy	40.46887157747448	#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	0.16796875	(*.f64 (/.f64 #s(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))

Samples

95.0ms

256×

valid

Compiler

Compiled 132 to 26 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 9.0ms (39.6% of total)

ival-mult: 7.0ms (30.8% of total)

ival-sub: 3.0ms (13.2% of total)

ival-add: 2.0ms (8.8% of total)

exact: 1.0ms (4.4% of total)

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

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

series60.0ms (0.8%)

Memory

28.4MiB live, 102.6MiB allocated

Counts

16 → 540

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 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) (patch (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #<representation binary64>) () ())
#s(alt (-.f64 z (+.f64 y x)) (patch (-.f64 z (+.f64 y x)) #<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 (/ (- z (+ x y)) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #<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>) () ())) ())
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#s(alt (* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ t x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 t) (* -2 (/ (* t (- z y)) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z y))) (* 2 (/ (* t (pow (- z y) 2)) x))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z y) 2))) (* -2 (/ (* t (pow (- z y) 3)) x))) x)) (* 2 (* t (- z y)))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) (patch (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -2 (/ (- z y) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) (patch (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (- z y) 2) x)) (* -2 (- z y))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) (patch (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow (- z y) 3) x)) (* 2 (pow (- z y) 2))) x)) (* -2 (- z y))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) (patch (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 z (+.f64 y x)) (patch (-.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- z y) x))))) (taylor -inf x) (#s(alt (-.f64 z (+.f64 y x)) (patch (-.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- z y) x))))) (taylor -inf x) (#s(alt (-.f64 z (+.f64 y x)) (patch (-.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- z y) x))))) (taylor -inf x) (#s(alt (-.f64 z (+.f64 y x)) (patch (-.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	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 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))
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 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))
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 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))
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 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))
2.0ms	x	@	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 (- z (+ y x))) t)) (* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (- z (+ y x)))

simplify203.0ms (2.7%)

Memory

-0.4MiB live, 311.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 964×	`lower-fma.f64`
10 964×	`lower-fma.f32`
5 486×	`lower-*.f64`
5 486×	`lower-*.f32`
4 500×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	570	5532
1	1708	5434
2	4958	5318
0	8224	5134

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 524

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

rewrite193.0ms (2.6%)

Memory

25.8MiB live, 333.7MiB allocated

Rules

5 484×	`lower-/.f32`
5 474×	`lower-/.f64`
4 166×	`lower-*.f32`
4 156×	`lower-*.f64`
3 910×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	120
0	42	120
1	175	118
2	1248	118
0	8200	118

Stop Event

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

Counts

16 → 786

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

Outputs
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eval380.0ms (5%)

Memory: -11.5MiB live, 361.1MiB allocated
Compiler: Compiled 24 327 to 3 209 computations (86.8% saved)

prune66.0ms (0.9%)

Memory

-20.8MiB live, 92.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1 446	5	1 451
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 452	7	1 459

Accuracy

100.0%

Counts

1 459 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
	68.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
▶	70.0%	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -2 (- z (+ y x))) (/.f64 #s(literal 2 binary64) (+.f64 y x))) t))
▶	68.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
▶	36.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
▶	36.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
▶	37.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))

Compiler

Compiled 100 to 119 computations (-19% saved)

simplify271.0ms (3.6%)

Memory

1.2MiB live, 83.3MiB 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 #s(literal 1/2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 y x))
cost-diff	0	#s(approx (/ -2 (- z (+ y x))) (/.f64 #s(literal 2 binary64) (+.f64 y x)))
cost-diff	0	(*.f64 #s(approx (/ -2 (- z (+ y x))) (/.f64 #s(literal 2 binary64) (+.f64 y x))) t)

Rules

3 104×	`lower-fma.f64`
3 104×	`lower-fma.f32`
1 376×	`lower-*.f32`
1 366×	`lower-*.f64`
1 348×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	168
0	46	168
1	81	168
2	128	168
3	187	168
4	339	168
5	716	168
6	1358	168
7	2670	168
8	3782	168
9	4831	168
10	5352	168
11	5419	168
12	5458	168
13	5956	168
14	6245	168
15	6488	168
16	6757	168
17	6757	168
18	6767	168
19	6767	168
20	6791	168
21	6831	168
22	6848	168
0	6848	168

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize87.0ms (1.1%)

Memory

7.2MiB live, 79.7MiB 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	0.16796875	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
accuracy	21.285677565494055	#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	40.50285741751161	#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	40.46887157747448	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
accuracy	0	(/.f64 #s(literal 1/2 binary64) t)
accuracy	0.24609375	(*.f64 (/.f64 #s(literal 1/2 binary64) t) x)
accuracy	40.24213221388721	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))
accuracy	0.0078125	(/.f64 #s(literal 2 binary64) (+.f64 y x))
accuracy	0.1953125	(*.f64 #s(approx (/ -2 (- z (+ y x))) (/.f64 #s(literal 2 binary64) (+.f64 y x))) t)
accuracy	0.3714155013078967	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -2 (- z (+ y x))) (/.f64 #s(literal 2 binary64) (+.f64 y x))) t))
accuracy	20.562291983268025	#s(approx (/ -2 (- z (+ y x))) (/.f64 #s(literal 2 binary64) (+.f64 y x)))

Samples

66.0ms

256×

valid

Compiler

Compiled 126 to 30 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 33.0ms (65.8% of total)

ival-mult: 9.0ms (17.9% of total)

ival-sub: 5.0ms (10% of total)

ival-add: 3.0ms (6% of total)

exact: 1.0ms (2% of total)

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

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

series56.0ms (0.7%)

Memory

-10.2MiB live, 115.4MiB allocated

Counts

17 → 540

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (/ 2 (+ y x)) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 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) (/ 1 (* (/ -2 (- z (+ y x))) t)))
3.0ms	t	@	0	((* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (/ 2 (+ y x)) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 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) (/ 1 (* (/ -2 (- z (+ y x))) t)))
2.0ms	t	@	inf	((* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (/ 2 (+ y x)) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 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) (/ 1 (* (/ -2 (- z (+ y x))) t)))
2.0ms	t	@	-inf	((* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (/ 2 (+ y x)) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 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) (/ 1 (* (/ -2 (- z (+ y x))) t)))
2.0ms	x	@	inf	((* (/ -2 (- z (+ y x))) t) (/ -2 (- z (+ y x))) (/ 2 (+ y x)) (+ y x) (/ (- (+ x y) z) (* t 2)) (* (/ 1/2 t) x) (/ 1/2 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) (/ 1 (* (/ -2 (- z (+ y x))) t)))

simplify237.0ms (3.1%)

Memory

41.6MiB live, 232.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 196×	`lower-fma.f64`
8 196×	`lower-fma.f32`
6 554×	`lower-*.f64`
6 554×	`lower-*.f32`
3 702×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	688	5620
1	2055	5528
2	5798	5466
0	9122	5254

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 527

Calls

Call 1

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

rewrite219.0ms (2.9%)

Memory

-17.6MiB live, 190.3MiB allocated

Rules

5 552×	`lower-/.f32`
5 542×	`lower-/.f64`
4 186×	`lower-*.f32`
4 176×	`lower-*.f64`
3 588×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	147
0	46	147
1	188	147
2	1266	147
0	8211	147

Stop Event

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

Counts

17 → 304

Calls

Call 1

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

Outputs
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eval132.0ms (1.7%)

Memory: 9.2MiB live, 164.4MiB allocated
Compiler: Compiled 10 942 to 1 758 computations (83.9% saved)

prune39.0ms (0.5%)

Memory

-6.1MiB live, 67.9MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	860	1	861
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	860	8	868

Accuracy

100.0%

Counts

868 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
▶	68.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
✓	70.0%	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -2 (- z (+ y x))) (/.f64 #s(literal 2 binary64) (+.f64 y x))) t))
✓	68.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
✓	36.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
▶	37.1%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
✓	36.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	37.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))

Compiler

Compiled 60 to 72 computations (-20% saved)

simplify203.0ms (2.7%)

Memory

23.3MiB live, 60.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- z (+ y x)) (-.f64 z x))
cost-diff	0	(/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x)))
cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
cost-diff	0	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))

Rules

3 120×	`lower-fma.f64`
3 120×	`lower-fma.f32`
1 392×	`lower-*.f32`
1 388×	`lower-*.f64`
1 286×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	82
0	28	82
1	56	80
2	105	80
3	179	80
4	349	80
5	771	80
6	1575	80
7	2903	80
8	3919	80
9	5239	80
10	6055	80
11	6104	80
12	6124	80
13	6148	80
14	6473	80
15	6665	80
16	6665	80
17	6665	80
18	6665	80
0	6665	80

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1%)

Memory

-7.0MiB live, 76.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.1953125	(*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)
accuracy	0.3714155013078967	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
accuracy	21.285677565494055	#s(approx (- z (+ y x)) (-.f64 z x))
accuracy	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) t)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	40.24213221388721	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))

Samples

64.0ms

256×

valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

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

ival-div: 34.0ms (63.8% of total)

ival-add: 11.0ms (20.6% of total)

ival-sub: 4.0ms (7.5% of total)

ival-mult: 4.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

0.2MiB live, 36.5MiB allocated

Counts

8 → 276

Calls

Call 1

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

Outputs
#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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) 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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor inf t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor inf t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor inf t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor inf t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (+ x y) z) t)) (taylor -inf t) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf t) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- z (+ x y)) t)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor -inf t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor -inf t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor -inf t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ t (- z (+ x y)))) (taylor -inf t) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ x y) t)) (taylor 0 z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ x y) t)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ t (+ x y))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ t (+ x y))) (* 2 (/ (* t z) (pow (+ x y) 2)))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* 2 (/ (* t z) (pow (+ x y) 3)))))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ t (+ x y))) (* z (+ (* 2 (/ t (pow (+ x y) 2))) (* z (+ (* 2 (/ t (pow (+ x y) 3))) (* 2 (/ (* t z) (pow (+ x y) 4)))))))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 (+ x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ z (pow (+ x y) 2))) (* 2 (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* 2 (/ z (pow (+ x y) 3))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* z (+ (* 2 (/ z (pow (+ x y) 4))) (* 2 (/ 1 (pow (+ x y) 3))))) (* 2 (/ 1 (pow (+ x y) 2))))) (* 2 (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ x y)) (taylor 0 z) (#s(alt #s(approx (- z (+ y x)) (-.f64 z x)) (patch #s(approx (- z (+ y x)) (-.f64 z x)) #<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 #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ t x)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 t) (* 2 (/ (* t (- z y)) x))) x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))))) x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 t) (+ (* 2 (/ (* t (- z y)) x)) (+ (* 2 (/ (* t (pow (- z y) 2)) (pow x 2))) (* 2 (/ (* t (pow (- z y) 3)) (pow x 3)))))) x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ (- z y) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (* 2 (/ (pow (- z y) 2) (pow x 2)))) (* -2 (/ (- z y) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (* 2 (/ (pow (- z y) 3) (pow x 3)))) (+ (* -2 (/ (- z y) x)) (* -2 (/ (pow (- z y) 2) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- z (+ y x)) (-.f64 z x)) (patch #s(approx (- z (+ y x)) (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- z (+ y x)) (-.f64 z x)) (patch #s(approx (- z (+ y x)) (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- z (+ y x)) (-.f64 z x)) (patch #s(approx (- z (+ y x)) (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- z (+ y x)) (-.f64 z x)) (patch #s(approx (- z (+ y x)) (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z 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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) 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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) 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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) 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) x) t)) (patch #s(approx (/ (- (+ x y) z) ( t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) x) t) (patch (/.f64 (.f64 #s(literal 1/2 binary64) x) t) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x t)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (- (/ z t) (/ y t)) x)) (* 1/2 (/ 1 t))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ t x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 t) (* -2 (/ (* t (- z y)) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* 2 (* t (- z y))) (* 2 (/ (* t (pow (- z y) 2)) x))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 t) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* t (pow (- z y) 2))) (* -2 (/ (* t (pow (- z y) 3)) x))) x)) (* 2 (* t (- z y)))) x))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) (patch (.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -2 (/ (- z y) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow (- z y) 2) x)) (* -2 (- z y))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow (- z y) 3) x)) (* 2 (pow (- z y) 2))) x)) (* -2 (- z y))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) (patch (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- z (+ y x)) (-.f64 z x)) (patch #s(approx (- z (+ y x)) (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- z y) x))))) (taylor -inf x) (#s(alt #s(approx (- z (+ y x)) (-.f64 z x)) (patch #s(approx (- z (+ y x)) (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- z y) x))))) (taylor -inf x) (#s(alt #s(approx (- z (+ y x)) (-.f64 z x)) (patch #s(approx (- z (+ y x)) (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- z y) x))))) (taylor -inf x) (#s(alt #s(approx (- z (+ y x)) (-.f64 z x)) (patch #s(approx (- z (+ y x)) (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())

Calls

12 calls:

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

simplify179.0ms (2.4%)

Memory

-29.2MiB live, 273.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 656×	`lower-fma.f64`
8 656×	`lower-fma.f32`
6 494×	`lower-*.f64`
6 494×	`lower-*.f32`
4 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	553	3206
1	1659	3108
2	4810	3074
0	8616	2960

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 271

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

rewrite178.0ms (2.4%)

Memory

16.7MiB live, 93.1MiB allocated

Rules

5 156×	`lower-/.f32`
5 150×	`lower-/.f64`
3 938×	`lower-*.f32`
3 934×	`lower-*.f64`
3 904×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	74
0	28	74
1	141	72
2	1073	72
0	8212	72

Stop Event

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

Counts

8 → 166

Calls

Call 1

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

Outputs
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eval212.0ms (2.8%)

Memory: -25.5MiB live, 131.6MiB allocated
Compiler: Compiled 6 274 to 1 172 computations (81.3% saved)

prune15.0ms (0.2%)

Memory

-3.1MiB live, 41.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	437	0	437
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	437	8	445

Accuracy

100.0%

Counts

445 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.3%	(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 t #s(literal 2 binary64)))
✓	68.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
✓	70.0%	(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -2 (- z (+ y x))) (/.f64 #s(literal 2 binary64) (+.f64 y x))) t))
✓	68.9%	(*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))
✓	36.7%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) t))
✓	37.1%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))
✓	36.8%	#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t))
✓	37.0%	#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) x))

Compiler

Compiled 176 to 128 computations (27.3% saved)

regimes45.0ms (0.6%)

Memory

20.3MiB live, 98.5MiB 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 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) 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(literal 1/2 binary64) t) (-.f64 (+.f64 y x) z))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -2 (- z (+ y x))) (/.f64 #s(literal 2 binary64) (+.f64 y x))) t))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- z (+ y x)) (-.f64 z x))) t))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 z (+.f64 y x))) t))

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 24 to 42 computations (-75% saved)

regimes58.0ms (0.8%)

Memory

-9.7MiB live, 70.3MiB allocated

Counts

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

26.0ms	y
6.0ms	(+.f64 x y)
4.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	t
4.0ms	(-.f64 (+.f64 x y) z)

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)

regimes37.0ms (0.5%)

Memory

2.8MiB live, 41.5MiB allocated

Counts

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

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)))

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

Calls

8 calls:

9.0ms	t
4.0ms	(*.f64 t #s(literal 2 binary64))
4.0ms	z
4.0ms	y
4.0ms	(-.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
81.3%	2	`x`
88.1%	2	`y`
93.0%	3	`z`
77.8%	5	`t`
84.4%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
84.4%	2	`(-.f64 (+.f64 x y) z)`
89.1%	2	`(+.f64 x y)`
77.8%	5	`(*.f64 t #s(literal 2 binary64))`

Compiler

Compiled 24 to 42 computations (-75% saved)

regimes4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
92.9%	3	`z`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB 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 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) 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:

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

Results

Accuracy	Segments	Branch
88.4%	2	`(+.f64 x y)`
74.3%	3	`z`

Compiler

Compiled 4 to 9 computations (-125% saved)

regimes30.0ms (0.4%)

Memory

-10.4MiB live, 28.1MiB 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 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) 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 #s(literal 1/2 binary64) x) t))

#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

5 calls:

18.0ms	(+.f64 x y)
3.0ms	y
3.0ms	(-.f64 (+.f64 x y) z)
3.0ms	x
3.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
72.5%	3	`x`
69.2%	2	`(-.f64 (+.f64 x y) z)`
69.2%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
66.1%	3	`y`
80.1%	3	`(+.f64 x y)`

Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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 #s(literal -1/2 binary64) z) t))
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) t))

Outputs

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

#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:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
80.0%	3	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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 #s(literal -1/2 binary64) z) t))

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) z) t))

#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
79.9%	3	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes6.0ms (0.1%)

Memory

-31.4MiB live, 4.7MiB 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
79.9%	3	`(+.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes13.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

2 → 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))

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))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
47.5%	2	`y`
53.2%	2	`(-.f64 (+.f64 x y) z)`
53.9%	2	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
59.9%	2	`x`
59.3%	3	`z`
40.3%	2	`t`
40.3%	2	`(*.f64 t #s(literal 2 binary64))`
59.9%	2	`(+.f64 x y)`

Compiler

Compiled 24 to 42 computations (-75% saved)

regimes17.0ms (0.2%)

Memory

-18.0MiB live, 22.5MiB 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:

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

Results

Accuracy	Segments	Branch
36.7%	1	`t`
36.7%	1	`(*.f64 t #s(literal 2 binary64))`
36.7%	1	`y`
36.7%	1	`(-.f64 (+.f64 x y) z)`
36.7%	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64)))`
36.7%	1	`z`
36.7%	1	`x`
36.7%	1	`(+.f64 x y)`

Compiler

Compiled 24 to 42 computations (-75% saved)

bsearch29.0ms (0.4%)

Memory

9.5MiB live, 45.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5674354917339912000.0	3.3636607893703727e+52
8.0ms	-20568468389.669308	-2505135692.6666365

Samples

17.0ms

272×

valid

Compiler

Compiled 284 to 356 computations (-25.4% saved)

Precisions

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5674354917339912000.0	3.3636607893703727e+52
1.0ms	-20568468389.669308	-2505135692.6666365

Compiler

Compiled 284 to 356 computations (-25.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.6922486578530214e+38	2.894502941861389e+42

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.6922486578530214e+38	2.894502941861389e+42
0.0ms	-1.0048463759923252e+53	-2.595107774790167e+49

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.6922486578530214e+38	2.894502941861389e+42
0.0ms	-1.0048463759923252e+53	-2.595107774790167e+49

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.6922486578530214e+38	2.894502941861389e+42
0.0ms	-1.0048463759923252e+53	-2.595107774790167e+49

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.6922486578530214e+38	2.894502941861389e+42
0.0ms	-1.0048463759923252e+53	-2.595107774790167e+49

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0048463759923252e+53	-2.595107774790167e+49

Compiler

Compiled 12 to 16 computations (-33.3% saved)

simplify28.0ms (0.4%)

Memory

-4.1MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	425
1	82	425
2	88	425
3	90	425
4	91	425

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 z #s(literal -10500000000 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (if (<=.f64 z #s(literal 259999999999999991611392 binary64)) (/.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)))))
(if (<=.f64 z #s(literal -10500000000 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (if (<=.f64 z #s(literal 265000000000000006291456 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))))
(if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 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 z #s(literal -10500000000 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 t #s(literal 2 binary64))) (if (<=.f64 z #s(literal 259999999999999991611392 binary64)) (/.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)))))
(if (<=.f64 z #s(literal -10500000000 binary64)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (.f64 #s(literal 2 binary64) t)) (if (<=.f64 z #s(literal 259999999999999991611392 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 #s(literal 2 binary64) t)) (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t))))
(if (<=.f64 z #s(literal -10500000000 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z))) (if (<=.f64 z #s(literal 265000000000000006291456 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) t) #s(approx (- (+ y x) z) (-.f64 x z)))))
(if (<=.f64 z #s(literal -10500000000 binary64)) (.f64 #s(approx (- (+ y x) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t)) (if (<=.f64 z #s(literal 265000000000000006291456 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (.f64 #s(literal 2 binary64) t)) (*.f64 #s(approx (- (+ y x) z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) t))))
(if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 y x) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (.f64 #s(literal 1/2 binary64) x) t)) (if (<=.f64 (+.f64 y x) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 y x) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (.f64 (/.f64 #s(literal 1/2 binary64) t) x)) (if (<=.f64 (+.f64 y x) #s(literal 999999999999999939709166371603178586112 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 -99999999999999999322094867436162797646170844194406400 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)))
(if (<=.f64 (+.f64 y x) #s(literal -99999999999999999322094867436162797646170844194406400 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 (14.1%)

Memory

34.1MiB live, 662.8MiB allocated

Rules

10 964×	`lower-fma.f64`
10 964×	`lower-fma.f32`
7 612×	`lower-fma.f64`
7 612×	`lower-fma.f32`
5 552×	`lower-/.f32`

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	570	5532
1	1708	5434
2	4958	5318
0	8224	5134
0	9	20
0	13	20
1	57	20
2	473	20
3	7793	20
0	8232	20
0	34	147
0	46	147
1	188	147
2	1266	147
0	8211	147
0	29	120
0	42	120
1	175	118
2	1248	118
0	8200	118

Stop Event

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

Compiler

Compiled 484 to 312 computations (35.5% saved)

preprocess113.0ms (1.5%)

Memory

-7.0MiB live, 185.5MiB allocated

Remove

(sort x y)

(negabs t)

Compiler

Compiled 618 to 244 computations (60.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze229.0ms (3%)

sample1.5s (19.3%)

explain136.0ms (1.8%)

preprocess239.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify157.0ms (2.1%)

localize51.0ms (0.7%)

series30.0ms (0.4%)

simplify176.0ms (2.3%)

rewrite306.0ms (4.1%)

eval73.0ms (1%)

prune17.0ms (0.2%)

simplify283.0ms (3.7%)

localize114.0ms (1.5%)

series60.0ms (0.8%)

simplify203.0ms (2.7%)

rewrite193.0ms (2.6%)

eval380.0ms (5%)

prune66.0ms (0.9%)

simplify271.0ms (3.6%)

localize87.0ms (1.1%)

series56.0ms (0.7%)

simplify237.0ms (3.1%)

rewrite219.0ms (2.9%)

eval132.0ms (1.7%)

prune39.0ms (0.5%)

simplify203.0ms (2.7%)

localize74.0ms (1%)

series23.0ms (0.3%)

simplify179.0ms (2.4%)

rewrite178.0ms (2.4%)

eval212.0ms (2.8%)

prune15.0ms (0.2%)

regimes45.0ms (0.6%)

regimes58.0ms (0.8%)

regimes37.0ms (0.5%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes30.0ms (0.4%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes13.0ms (0.2%)

regimes17.0ms (0.2%)

bsearch29.0ms (0.4%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.4%)

soundness1.1s (14.1%)

preprocess113.0ms (1.5%)

end0.0ms (0%)

Profiling