Metrics for Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze153.0ms (2.2%)

Memory

9.1MiB live, 213.8MiB 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
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	6
43.8%	43.7%	56.1%	0.2%	0%	0%	0%	7
43.8%	43.7%	56.1%	0.2%	0%	0%	0%	8
51.6%	51.5%	48.3%	0.2%	0%	0%	0%	9
51.6%	51.5%	48.3%	0.2%	0%	0%	0%	10
57%	56.9%	42.9%	0.2%	0%	0%	0%	11
62.1%	62%	37.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 9 to 9 computations (0% saved)

sample1.0s (15.3%)

Memory

18.1MiB live, 1 036.6MiB allocated

Samples

635.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 342.0ms

ival-sub: 160.0ms (46.8% of total)

ival-mult: 117.0ms (34.3% of total)

ival-div: 55.0ms (16.1% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain228.0ms (3.4%)

Memory

-17.3MiB live, 59.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
12	-	-	`(/.f64 x (-.f64 y (*.f64 z t)))`
0	-	-	`y`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
0	-	-	`z`
0	-	-	`(-.f64 y (*.f64 z t))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (-.f64 y (*.f64 z t)))`	n/o	12	0
↳	`(-.f64 y (*.f64 z t))`	overflow	46
↳	`(*.f64 z t)`	overflow	46

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	0	0	244

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

99.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (40% of total)

ival-div: 3.0ms (30% of total)

ival-sub: 2.0ms (20% of total)

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

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

preprocess178.0ms (2.6%)

Memory

-13.4MiB live, 77.6MiB allocated

Algorithm

1×	egg-herbie

Rules

440×	`times-frac`
218×	`sub-neg`
214×	`associate-l`
208×	`lower-fma.f64`
208×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	106
1	115	102
2	207	101
3	490	101
4	1065	101
5	1741	101
6	2089	101
7	2143	101
8	2161	101
9	2181	101
10	2181	101
0	7	7
0	10	7
1	16	7
2	28	7
3	40	7
4	56	7
5	82	7
6	128	7
7	167	7
8	219	7
9	301	7
10	446	7
11	513	7
12	521	7
13	535	7
14	547	7
0	547	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (-.f64 y (*.f64 z t)))

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

Symmetry

(negabs x)

(sort z t)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(/.f64 x (-.f64 y (*.f64 z t)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify19.0ms (0.3%)

Memory

-3.0MiB live, 33.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z t)
cost-diff	0	(-.f64 y (*.f64 z t))
cost-diff	0	(/.f64 x (-.f64 y (*.f64 z t)))

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
160×	`lower-*.f32`
158×	`lower-*.f64`
72×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	40	19
4	56	19
5	82	19
6	128	19
7	167	19
8	219	19
9	301	19
10	446	19
11	513	19
12	521	19
13	535	19
14	547	19
0	547	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (-.f64 y (*.f64 z t)))
x
(-.f64 y (*.f64 z t))
y
(*.f64 z t)
z
t

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

localize17.0ms (0.3%)

Memory

4.9MiB live, 42.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z t)
accuracy	0.0078125	(-.f64 y (*.f64 z t))
accuracy	2.690500858579547	(/.f64 x (-.f64 y (*.f64 z t)))

Samples

13.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (42.8% of total)

ival-mult: 2.0ms (42.8% of total)

ival-sub: 1.0ms (21.4% of total)

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

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

series12.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

3 → 108

Calls

Call 1

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

Inputs

#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())

#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())

#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())

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

Calls

12 calls:

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

simplify201.0ms (3%)

Memory

-16.4MiB live, 220.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 178×	`lower-fma.f64`
7 178×	`lower-fma.f32`
5 180×	`lower-*.f64`
5 180×	`lower-*.f32`
3 686×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	1179
1	779	1140
2	2704	1087
3	7691	1085
0	8981	1047

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 104

Calls

Call 1

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

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

rewrite191.0ms (2.8%)

Memory

9.9MiB live, 335.5MiB allocated

Rules

6 892×	`lower-fma.f64`
6 892×	`lower-fma.f32`
4 246×	`lower-*.f32`
4 244×	`lower-*.f64`
4 082×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	37	15
2	248	15
3	2420	15
0	8983	15

Stop Event

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

Counts

3 → 351

Calls

Call 1

Inputs
(/.f64 x (-.f64 y (*.f64 z t)))
(-.f64 y (*.f64 z t))
(*.f64 z t)

Outputs
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eval247.0ms (3.6%)

Memory: -0.3MiB live, 113.3MiB allocated
Compiler: Compiled 12 819 to 1 369 computations (89.3% saved)

prune16.0ms (0.2%)

Memory

2.7MiB live, 41.0MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	447	8	455
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	447	9	456

Accuracy

100.0%

Counts

456 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(/.f64 (neg.f64 (.f64 (fma.f64 t z y) x)) (.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)))
▶	95.8%	(/.f64 x (fma.f64 (neg.f64 z) t y))
✓	95.8%	(/.f64 x (-.f64 y (*.f64 z t)))
	88.9%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)))
	49.1%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
▶	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
	43.4%	#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)))
▶	43.5%	#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z)))
▶	53.6%	#s(approx (/ x (- y (* z t))) (/.f64 x y))

Compiler

Compiled 203 to 169 computations (16.7% saved)

simplify182.0ms (2.7%)

Memory

14.9MiB live, 196.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z))
cost-diff	0	#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z)))
cost-diff	128	(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t))
cost-diff	5952	(fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t))
cost-diff	0	(fma.f64 t z y)
cost-diff	0	(*.f64 (fma.f64 t z y) x)
cost-diff	0	(neg.f64 (*.f64 (fma.f64 t z y) x))
cost-diff	1536	(/.f64 (neg.f64 (.f64 (fma.f64 t z y) x)) (.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)))
cost-diff	0	(*.f64 t z)
cost-diff	0	(-.f64 y (*.f64 t z))
cost-diff	0	(/.f64 (-.f64 y (*.f64 t z)) x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (- y (* z t))) (/.f64 x y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) t y)
cost-diff	0	(/.f64 x (fma.f64 (neg.f64 z) t y))

Rules

7 742×	`lower-fma.f32`
7 734×	`lower-fma.f64`
5 668×	`lower-*.f32`
5 660×	`lower-*.f64`
3 590×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	247
0	62	234
1	122	234
2	292	234
3	847	230
4	3047	230
5	6643	230
0	8303	227

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (2%)

Memory

-44.7MiB live, 236.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	5.137986943894007	(*.f64 (pow.f64 t #s(literal 3 binary64)) z)
accuracy	6.571876357319038	(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t))
accuracy	8.281597282849068	(fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t))
accuracy	30.20571673440394	#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z)))
accuracy	0.0078125	(-.f64 (*.f64 t z) y)
accuracy	0.09765625	(.f64 (fma.f64 t z y) (-.f64 (.f64 t z) y))
accuracy	3.3691008183717948	(*.f64 (fma.f64 t z y) x)
accuracy	25.24514126380918	(/.f64 (neg.f64 (.f64 (fma.f64 t z y) x)) (.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)))
accuracy	0	(*.f64 t z)
accuracy	0.0078125	(-.f64 y (*.f64 t z))
accuracy	0.8236486391260216	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
accuracy	2.5959886447126004	(/.f64 (-.f64 y (*.f64 t z)) x)
accuracy	0	(/.f64 x y)
accuracy	29.689692643905936	#s(approx (/ x (- y (* z t))) (/.f64 x y))
accuracy	0	(fma.f64 (neg.f64 z) t y)
accuracy	0	(neg.f64 z)
accuracy	2.690500858579547	(/.f64 x (fma.f64 (neg.f64 z) t y))

Samples

71.0ms

256×

valid

Compiler

Compiled 233 to 38 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 18.0ms (36.5% of total)

ival-mult: 11.0ms (22.3% of total)

ival-pow: 8.0ms (16.2% of total)

ival-add: 6.0ms (12.2% of total)

ival-sub: 3.0ms (6.1% of total)

ival-neg: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series108.0ms (1.6%)

Memory

-6.1MiB live, 150.8MiB allocated

Counts

20 → 780

Calls

Call 1

Inputs
#s(alt (/.f64 x (fma.f64 (neg.f64 z) t y)) (patch (/.f64 x (fma.f64 (neg.f64 z) t y)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) t y) (patch (fma.f64 (neg.f64 z) t y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 t z)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y (.f64 t z)) x) (patch (/.f64 (-.f64 y (.f64 t z)) x) #<representation binary64>) () ())
#s(alt (-.f64 y (.f64 t z)) (patch (-.f64 y (.f64 t z)) #<representation binary64>) () ())
#s(alt (.f64 t z) (patch (.f64 t z) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (.f64 (fma.f64 t z y) x)) (.f64 (fma.f64 t z y) (-.f64 (.f64 t z) y))) (patch (/.f64 (neg.f64 (.f64 (fma.f64 t z y) x)) (.f64 (fma.f64 t z y) (-.f64 (.f64 t z) y))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (fma.f64 t z y) x)) (patch (neg.f64 (.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 t z y) x) (patch (.f64 (fma.f64 t z y) x) #<representation binary64>) () ())
#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())
#s(alt (fma.f64 y (/.f64 y (.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (patch (fma.f64 y (/.f64 y (.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (patch (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z))) (patch #s(approx (/ x (- y ( z t))) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z)) (patch (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 t z y) (-.f64 (.f64 t z) y)) (patch (.f64 (fma.f64 t z y) (-.f64 (.f64 t z) y)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 t z) y) (patch (-.f64 (.f64 t z) y) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 t #s(literal 3 binary64)) z) (patch (.f64 (pow.f64 t #s(literal 3 binary64)) z) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	z	@	inf	((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z))
14.0ms	x	@	0	((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z))
7.0ms	x	@	inf	((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z))
6.0ms	x	@	-inf	((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z))
5.0ms	z	@	0	((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z))

simplify263.0ms (3.9%)

Memory

13.7MiB live, 279.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 748×	`lower-fma.f64`
8 748×	`lower-fma.f32`
5 370×	`lower-*.f64`
5 370×	`lower-*.f32`
2 508×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	10306
1	2195	9452
2	7011	9410
0	8195	9047

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 768

Calls

Call 1

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

rewrite196.0ms (2.9%)

Memory

22.2MiB live, 307.8MiB allocated

Rules

5 798×	`lower-/.f32`
5 776×	`lower-/.f64`
3 210×	`lower-*.f32`
3 202×	`lower-*.f64`
3 178×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	198
0	62	185
1	272	184
2	2221	184
0	8576	184

Stop Event

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

Counts

20 → 1 017

Calls

Call 1

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

Outputs
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eval351.0ms (5.2%)

Memory: -8.8MiB live, 371.5MiB allocated
Compiler: Compiled 44 304 to 3 693 computations (91.7% saved)

prune127.0ms (1.9%)

Memory

20.8MiB live, 99.1MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 893	4	1 897
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	1 896	10	1 906

Accuracy

100.0%

Counts

1 906 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.8%	(/.f64 x (fma.f64 (neg.f64 z) t y))
✓	95.8%	(/.f64 x (-.f64 y (*.f64 z t)))
▶	49.1%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
✓	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
▶	48.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x))
▶	53.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 y x)))
▶	51.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)))
▶	52.4%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z))
	43.4%	#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)))
✓	53.6%	#s(approx (/ x (- y (* z t))) (/.f64 x y))

Compiler

Compiled 135 to 141 computations (-4.4% saved)

simplify145.0ms (2.1%)

Memory

-7.9MiB live, 83.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5 608×	`lower-fma.f64`
5 608×	`lower-fma.f32`
3 310×	`lower-*.f32`
3 306×	`lower-*.f64`
2 828×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	195
0	47	193
1	91	193
2	221	181
3	608	180
4	2078	180
5	4447	180
0	8313	180

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (2.3%)

Memory

-4.5MiB live, 107.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 t)
accuracy	0.8236486391260216	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x))
accuracy	2.5959886447126004	(/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)
accuracy	31.249268997286148	#s(approx (- y (* t z)) (*.f64 (neg.f64 t) z))
accuracy	0	(neg.f64 t)
accuracy	0.8236486391260216	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)))
accuracy	3.627407392785152	(*.f64 (/.f64 (neg.f64 t) x) z)
accuracy	28.611968131203813	#s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z))
accuracy	0	(/.f64 (neg.f64 x) t)
accuracy	0	(neg.f64 x)
accuracy	3.7844525854769464	(/.f64 (/.f64 (neg.f64 x) t) z)
accuracy	29.89392694015488	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z))
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	2.690500858579547	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
accuracy	31.249268997286148	#s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))
accuracy	0	(/.f64 y x)
accuracy	0.8236486391260216	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 y x)))
accuracy	30.0290329971982	#s(approx (/ (- y (* t z)) x) (/.f64 y x))

Samples

106.0ms

256×

valid

Compiler

Compiled 143 to 28 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 40.0ms (67.2% of total)

ival-div: 12.0ms (20.2% of total)

ival-sub: 3.0ms (5% of total)

ival-neg: 3.0ms (5% of total)

ival-add: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series86.0ms (1.3%)

Memory

-15.6MiB live, 69.0MiB allocated

Counts

18 → 648

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (/ (neg x) t) z) (/ (neg x) t) (neg x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)))
3.0ms	x	@	inf	((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (/ (neg x) t) z) (/ (neg x) t) (neg x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)))
3.0ms	t	@	0	((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (/ (neg x) t) z) (/ (neg x) t) (neg x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)))
3.0ms	x	@	-inf	((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (/ (neg x) t) z) (/ (neg x) t) (neg x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)))
2.0ms	t	@	inf	((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (/ (neg x) t) z) (/ (neg x) t) (neg x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)))

simplify263.0ms (3.9%)

Memory

22.9MiB live, 203.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 672×	`lower-fma.f64`
8 672×	`lower-fma.f32`
5 776×	`lower-*.f64`
5 776×	`lower-*.f32`
2 310×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	7178
1	1150	6672
2	3783	6507
0	8103	6318

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 640

Calls

Call 1

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

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

rewrite281.0ms (4.1%)

Memory

-14.8MiB live, 281.0MiB allocated

Rules

4 630×	`lower-fma.f64`
4 630×	`lower-fma.f32`
4 404×	`lower-*.f32`
4 400×	`lower-*.f64`
3 544×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	170
0	47	168
1	195	158
2	1160	155
0	8741	155

Stop Event

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

Counts

18 → 486

Calls

Call 1

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

Outputs
#<batchref>
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eval141.0ms (2.1%)

Memory: 39.6MiB live, 306.7MiB allocated
Compiler: Compiled 15 857 to 1 972 computations (87.6% saved)

prune38.0ms (0.6%)

Memory

-8.3MiB live, 105.5MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 227	4	1 231
Fresh	1	0	1
Picked	2	3	5
Done	0	4	4
Total	1 230	11	1 241

Accuracy

100.0%

Counts

1 241 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.8%	(/.f64 x (fma.f64 (neg.f64 z) t y))
✓	95.8%	(/.f64 x (-.f64 y (*.f64 z t)))
✓	49.1%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
✓	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
✓	53.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 y x)))
▶	50.9%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) z) t))
✓	52.4%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z))
▶	48.6%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z t) x)))
▶	50.9%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) t)))
▶	49.0%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) z))))
✓	53.6%	#s(approx (/ x (- y (* z t))) (/.f64 x y))

Compiler

Compiled 79 to 89 computations (-12.7% saved)

simplify145.0ms (2.1%)

Memory

-17.7MiB live, 143.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) z)
cost-diff	0	(/.f64 (/.f64 (neg.f64 x) z) t)
cost-diff	0	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) z) t))
cost-diff	0	(*.f64 z t)
cost-diff	0	(/.f64 (*.f64 z t) x)
cost-diff	0	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z t) x)))
cost-diff	192	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z t) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) t)))
cost-diff	192	(*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) t))
cost-diff	0	(neg.f64 t)
cost-diff	0	(*.f64 (neg.f64 t) z)
cost-diff	0	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) z))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) z))

Rules

5 934×	`lower-fma.f64`
5 934×	`lower-fma.f32`
3 236×	`lower-*.f32`
3 228×	`lower-*.f64`
2 702×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	187
0	43	195
1	84	178
2	223	130
3	701	130
4	2239	126
5	4541	126
0	8232	126

Stop Event

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

Calls

Call 1

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

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

localize146.0ms (2.1%)

Memory

-17.0MiB live, 121.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (neg.f64 x) z)
accuracy	0	(neg.f64 x)
accuracy	5.962835907198346	(/.f64 (/.f64 (neg.f64 x) z) t)
accuracy	29.89392694015488	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) z) t))
accuracy	0	(*.f64 z t)
accuracy	0.5870730601933773	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z t) x))
accuracy	4.9063438241133115	(/.f64 (*.f64 z t) x)
accuracy	29.89392694015488	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z t) x)))
accuracy	0	(/.f64 x z)
accuracy	0	(/.f64 #s(literal -1 binary64) t)
accuracy	5.997992157198346	(*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) t))
accuracy	29.89392694015488	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) t)))
accuracy	0	(neg.f64 t)
accuracy	0.5576498651065334	(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) z))
accuracy	4.875740671735302	(.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) z)))
accuracy	29.89392694015488	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) z))))

Samples

97.0ms

256×

valid

Compiler

Compiled 157 to 28 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 64.0ms (77.8% of total)

ival-div: 12.0ms (14.6% of total)

ival-neg: 3.0ms (3.6% of total)

ival-sub: 1.0ms (1.2% of total)

ival-add: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.7%)

Memory

17.8MiB live, 56.6MiB allocated

Counts

17 → 528

Calls

Call 1

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

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

Calls

12 calls:

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

simplify219.0ms (3.2%)

Memory

-9.4MiB live, 262.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 088×	`lower-fma.f64`
8 088×	`lower-fma.f32`
4 772×	`lower-*.f64`
4 772×	`lower-*.f32`
4 512×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	5208
1	676	5028
2	2499	4856
3	7196	4856
0	8091	4688

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

rewrite189.0ms (2.8%)

Memory

32.9MiB live, 311.3MiB allocated

Rules

5 774×	`lower-*.f32`
5 766×	`lower-*.f64`
4 598×	`lower-/.f32`
4 584×	`lower-/.f64`
4 538×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	172
0	43	167
1	155	123
2	965	115
0	8905	115

Stop Event

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

Counts

17 → 667

Calls

Call 1

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

Outputs
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eval442.0ms (6.5%)

Memory: -25.9MiB live, 406.2MiB allocated
Compiler: Compiled 15 517 to 1 970 computations (87.3% saved)

prune45.0ms (0.7%)

Memory

16.6MiB live, 131.4MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	1 194	1	1 195
Fresh	0	0	0
Picked	1	3	4
Done	0	7	7
Total	1 195	11	1 206

Accuracy

100.0%

Counts

1 206 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.8%	(/.f64 x (fma.f64 (neg.f64 z) t y))
✓	95.8%	(/.f64 x (-.f64 y (*.f64 z t)))
✓	49.1%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
✓	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
✓	53.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 y x)))
✓	50.9%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) z) t))
✓	52.4%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z))
✓	48.6%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z t) x)))
✓	50.9%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) t)))
	49.0%	#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (.f64 x (/.f64 #s(literal -1 binary64) (.f64 z t))))
✓	53.6%	#s(approx (/ x (- y (* z t))) (/.f64 x y))

Compiler

Compiled 254 to 167 computations (34.3% saved)

regimes46.0ms (0.7%)

Memory

-14.0MiB live, 84.7MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z))
(/.f64 x (fma.f64 (neg.f64 z) t y))

Calls

7 calls:

10.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
7.0ms	x
6.0ms	y
6.0ms	t
6.0ms	z

Results

Accuracy	Segments	Branch
95.8%	1	`x`
95.8%	1	`y`
95.8%	1	`z`
95.8%	1	`t`
95.8%	1	`(/.f64 x (-.f64 y (*.f64 z t)))`
98.4%	2	`(-.f64 y (*.f64 z t))`
98.4%	2	`(*.f64 z t)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes15.0ms (0.2%)

Memory

5.6MiB live, 44.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.f64 x (fma.f64 (neg.f64 z) t y))

Calls

5 calls:

3.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
3.0ms	x
3.0ms	t
3.0ms	(-.f64 y (*.f64 z t))
3.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
95.8%	1	`x`
95.8%	1	`t`
95.8%	1	`(/.f64 x (-.f64 y (*.f64 z t)))`
95.8%	1	`(-.f64 y (*.f64 z t))`
95.8%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 26 computations (-52.9% saved)

regimes16.0ms (0.2%)

Memory

-1.1MiB live, 37.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (/ x (- y (* z t))) (/.f64 x y))
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
(/.f64 x (-.f64 y (*.f64 z t)))

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

Calls

7 calls:

4.0ms	x
2.0ms	y
2.0ms	z
2.0ms	t
2.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
95.8%	1	`y`
95.8%	1	`z`
95.8%	1	`(*.f64 z t)`
95.8%	1	`x`
95.8%	1	`t`
95.8%	1	`(/.f64 x (-.f64 y (*.f64 z t)))`
95.8%	1	`(-.f64 y (*.f64 z t))`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes13.0ms (0.2%)

Memory

-9.5MiB live, 35.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (/ x (- y (* z t))) (/.f64 x y))
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))

Outputs
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
#s(approx (/ x (- y (* z t))) (/.f64 x y))
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))

Calls

7 calls:

3.0ms	x
2.0ms	y
2.0ms	z
2.0ms	t
1.0ms	(/.f64 x (-.f64 y (*.f64 z t)))

Results

Accuracy	Segments	Branch
73.7%	3	`y`
73.1%	3	`z`
60.3%	4	`x`
72.2%	3	`t`
65.4%	3	`(/.f64 x (-.f64 y (*.f64 z t)))`
65.0%	3	`(-.f64 y (*.f64 z t))`
78.1%	3	`(*.f64 z t)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes10.0ms (0.1%)

Memory

-11.4MiB live, 27.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ x (- y (* z t))) (/.f64 x y))

Outputs
#s(approx (/ x (- y (* z t))) (/.f64 x y))

Calls

7 calls:

2.0ms	x
1.0ms	z
1.0ms	y
1.0ms	t
1.0ms	(-.f64 y (*.f64 z t))

Results

Accuracy	Segments	Branch
53.6%	1	`x`
53.6%	1	`(-.f64 y (*.f64 z t))`
53.6%	1	`(/.f64 x (-.f64 y (*.f64 z t)))`
53.6%	1	`t`
53.6%	1	`z`
53.6%	1	`y`
53.6%	1	`(*.f64 z t)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.252102604058367e+254	-2.0949970244482834e+231

Compiler

Compiled 10 to 14 computations (-40% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.137530168591215e+57	5.069923578889213e+63
0.0ms	-23659.87134842148	-13513.780269247693

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify25.0ms (0.4%)

Memory

24.6MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`
14×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	112
1	57	112
2	72	112
3	82	112
4	86	112
5	87	112

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z t) #s(literal -199999999999999987271741387553518354728514146551401471296788814467163125561054150977867739891738951559620703652188113849103013283306286714875445248188400111203634394054424771362577248748079965527076639478413263015548719165875994324823359393880980565524480 binary64)) #s(approx (/ (neg ( (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z)) (/.f64 x (fma.f64 (neg.f64 z) t y)))
(/.f64 x (fma.f64 (neg.f64 z) t y))
(/.f64 x (-.f64 y (*.f64 z t)))
(if (<=.f64 (.f64 z t) #s(literal -20000 binary64)) (/.f64 x #s(approx (- y ( z t)) (.f64 (neg.f64 t) z))) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))))
#s(approx (/ x (- y (* z t))) (/.f64 x y))

Outputs
(if (<=.f64 (.f64 z t) #s(literal -199999999999999987271741387553518354728514146551401471296788814467163125561054150977867739891738951559620703652188113849103013283306286714875445248188400111203634394054424771362577248748079965527076639478413263015548719165875994324823359393880980565524480 binary64)) #s(approx (/ (neg ( (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z)) (/.f64 x (fma.f64 (neg.f64 z) t y)))
(if (<=.f64 (.f64 t z) #s(literal -199999999999999987271741387553518354728514146551401471296788814467163125561054150977867739891738951559620703652188113849103013283306286714875445248188400111203634394054424771362577248748079965527076639478413263015548719165875994324823359393880980565524480 binary64)) #s(approx (/ (neg ( (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z)) (/.f64 x (fma.f64 (neg.f64 z) t y)))
(/.f64 x (fma.f64 (neg.f64 z) t y))
(/.f64 x (-.f64 y (*.f64 z t)))
(/.f64 x (-.f64 y (*.f64 t z)))
(if (<=.f64 (.f64 z t) #s(literal -20000 binary64)) (/.f64 x #s(approx (- y ( z t)) (.f64 (neg.f64 t) z))) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))))
(if (<=.f64 (.f64 t z) #s(literal -20000 binary64)) (/.f64 x #s(approx (- y ( z t)) (.f64 (neg.f64 t) z))) (if (<=.f64 (.f64 t z) #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))))
#s(approx (/ x (- y (* z t))) (/.f64 x y))

soundness551.0ms (8.1%)

Memory

-3.2MiB live, 505.6MiB allocated

Rules

8 748×	`lower-fma.f64`
8 748×	`lower-fma.f32`
7 178×	`lower-fma.f64`
7 178×	`lower-fma.f32`
6 892×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	37	15
2	248	15
3	2420	15
0	8983	15
0	243	1179
1	779	1140
2	2704	1087
3	7691	1085
0	8981	1047
0	662	10306
1	2195	9452
2	7011	9410
0	8195	9047

Stop Event

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

Compiler

Compiled 121 to 80 computations (33.9% saved)

preprocess108.0ms (1.6%)

Memory: -4.5MiB live, 236.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 464 to 290 computations (37.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	40	19
4	56	19
5	82	19
6	128	19
7	167	19
8	219	19
9	301	19
10	446	19
11	513	19
12	521	19
13	535	19
14	547	19
0	547	19

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	40	19
4	56	19
5	82	19
6	128	19
7	167	19
8	219	19
9	301	19
10	446	19
11	513	19
12	521	19
13	535	19
14	547	19
0	547	19

start0.0ms (0%)

analyze153.0ms (2.2%)

sample1.0s (15.3%)

explain228.0ms (3.4%)

preprocess178.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.3%)

localize17.0ms (0.3%)

series12.0ms (0.2%)

simplify201.0ms (3%)

rewrite191.0ms (2.8%)

eval247.0ms (3.6%)

prune16.0ms (0.2%)

simplify182.0ms (2.7%)

localize138.0ms (2%)

series108.0ms (1.6%)

simplify263.0ms (3.9%)

rewrite196.0ms (2.9%)

eval351.0ms (5.2%)

prune127.0ms (1.9%)

simplify145.0ms (2.1%)

localize157.0ms (2.3%)

series86.0ms (1.3%)

simplify263.0ms (3.9%)

rewrite281.0ms (4.1%)

eval141.0ms (2.1%)

prune38.0ms (0.6%)

simplify145.0ms (2.1%)

localize146.0ms (2.1%)

series47.0ms (0.7%)

simplify219.0ms (3.2%)

rewrite189.0ms (2.8%)

eval442.0ms (6.5%)

prune45.0ms (0.7%)

regimes46.0ms (0.7%)

regimes15.0ms (0.2%)

regimes16.0ms (0.2%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify25.0ms (0.4%)

soundness551.0ms (8.1%)

preprocess108.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	40	19
4	56	19
5	82	19
6	128	19
7	167	19
8	219	19
9	301	19
10	446	19
11	513	19
12	521	19
13	535	19
14	547	19
0	547	19