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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze150.0ms (2.1%)

Memory

-5.9MiB live, 150.4MiB 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)

sample1.3s (19%)

Memory

-8.2MiB live, 1 149.3MiB allocated

Samples

759.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 444.0ms

ival-div: 280.0ms (63% of total)

ival-mult: 114.0ms (25.7% of total)

ival-sub: 39.0ms (8.8% of total)

ival-true: 7.0ms (1.6% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain74.0ms (1%)

Memory

18.1MiB live, 175.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(/.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	15	0
↳	`(-.f64 y (*.f64 z t))`	overflow	39
↳	`(*.f64 z t)`	overflow	39

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (36.2% of total)

ival-mult: 4.0ms (36.2% of total)

ival-sub: 3.0ms (27.2% of total)

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

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

preprocess77.0ms (1.1%)

Memory

5.6MiB live, 44.8MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(/.f64 x (-.f64 y (*.f64 z t)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify23.0ms (0.3%)

Memory

-25.0MiB live, 19.0MiB 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

localize21.0ms (0.3%)

Memory

1.1MiB live, 37.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y (*.f64 z t))
accuracy	0	(*.f64 z t)
accuracy	3.2927953790237625	(/.f64 x (-.f64 y (*.f64 z t)))

Samples

17.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-div: 2.0ms (34.1% of total)

ival-mult: 2.0ms (34.1% of total)

ival-sub: 1.0ms (17.1% of total)

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

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

series12.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB 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))

simplify160.0ms (2.3%)

Memory

4.6MiB live, 194.2MiB 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))

rewrite204.0ms (2.9%)

Memory

-31.8MiB live, 260.0MiB 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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eval120.0ms (1.7%)

Memory: 14.1MiB live, 89.5MiB allocated
Compiler: Compiled 12 819 to 1 369 computations (89.3% saved)

prune32.0ms (0.5%)

Memory

-7.7MiB live, 38.0MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	445	10	455
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	445	11	456

Accuracy

100.0%

Counts

456 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(/.f64 (neg.f64 (.f64 (fma.f64 t z y) x)) (.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)))
✓	94.9%	(/.f64 x (-.f64 y (*.f64 z t)))
▶	88.0%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)))
	88.9%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (-.f64 (/.f64 y z) t) z)))
	48.6%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
▶	94.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
▶	94.6%	(.f64 (pow.f64 (-.f64 y (.f64 t z)) #s(literal -1 binary64)) x)
▶	44.8%	#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)))
	42.7%	#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)))
	25.8%	#s(approx (/ x (- y (* z 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))
▶	53.2%	#s(approx (/ x (- y (* z t))) (/.f64 x y))

Compiler

Compiled 305 to 243 computations (20.3% saved)

simplify289.0ms (4.1%)

Memory

8.8MiB live, 124.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (*.f64 z z))
cost-diff	0	(/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t))
cost-diff	0	#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)))
cost-diff	320	(fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z))
cost-diff	0	(fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64))
cost-diff	0	#s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))
cost-diff	0	(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) 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	(*.f64 t z)
cost-diff	0	(-.f64 y (*.f64 t z))
cost-diff	0	(pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64))
cost-diff	6080	(.f64 (pow.f64 (-.f64 y (.f64 t z)) #s(literal -1 binary64)) x)

Rules

4 180×	`lower-fma.f32`
4 176×	`lower-fma.f64`
3 028×	`lower-*.f32`
3 020×	`lower-*.f64`
1 520×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	202
0	50	198
1	86	198
2	153	194
3	282	191
4	792	181
5	2146	181
6	3775	181
7	6400	181
8	7846	181
0	8019	180

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.9%)

Memory

18.3MiB live, 138.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	4.628480565475017	(/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t))
accuracy	6.334716422890811	(/.f64 x (*.f64 z z))
accuracy	12.077064777148973	(fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z))
accuracy	30.54022058200201	#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)))
accuracy	0	#s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))
accuracy	1.767719924198613	(fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64))
accuracy	3.2927953790237625	(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)))
accuracy	4.090195927151845	(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)
accuracy	0	(-.f64 y (*.f64 t z))
accuracy	0	(*.f64 t z)
accuracy	0.5103110910355675	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
accuracy	3.1495759962091854	(/.f64 (-.f64 y (*.f64 t z)) x)
accuracy	0	(/.f64 x y)
accuracy	29.92213953728488	#s(approx (/ x (- y (* z t))) (/.f64 x y))
accuracy	0	(-.f64 y (*.f64 t z))
accuracy	0	(*.f64 t z)
accuracy	0.5023243363768464	(pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64))
accuracy	2.867643616636003	(.f64 (pow.f64 (-.f64 y (.f64 t z)) #s(literal -1 binary64)) x)

Samples

96.0ms

256×

valid

Compiler

Compiled 168 to 30 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 50.0ms (65% of total)

ival-mult: 17.0ms (22.1% of total)

ival-pow: 4.0ms (5.2% of total)

ival-add: 2.0ms (2.6% of total)

ival-sub: 2.0ms (2.6% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series139.0ms (2%)

Memory

-31.0MiB live, 87.2MiB allocated

Counts

16 → 636

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	y	@	-inf	((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (/ x (* z z)))
20.0ms	t	@	0	((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (/ x (* z z)))
5.0ms	z	@	0	((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (/ x (* z z)))
4.0ms	x	@	-inf	((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (/ x (* z z)))
3.0ms	x	@	0	((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (/ x (* z z)))

simplify219.0ms (3.1%)

Memory

19.8MiB live, 135.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 732×	`lower-*.f64`
6 732×	`lower-*.f32`
6 392×	`lower-fma.f64`
6 392×	`lower-fma.f32`
2 424×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	8111
1	1635	7776
2	5220	7504
0	8303	7195

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 624

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

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

rewrite222.0ms (3.1%)

Memory

14.5MiB live, 171.6MiB allocated

Rules

6 028×	`lower-fma.f32`
6 024×	`lower-fma.f64`
4 098×	`lower-*.f32`
4 090×	`lower-*.f64`
4 030×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	157
0	50	153
1	208	153
2	1457	153
0	8466	153

Stop Event

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

Counts

16 → 686

Calls

Call 1

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

Outputs
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eval351.0ms (5%)

Memory: 13.0MiB live, 238.2MiB allocated
Compiler: Compiled 26 442 to 3 000 computations (88.7% saved)

prune165.0ms (2.3%)

Memory

-35.4MiB live, 94.7MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 428	9	1 437
Fresh	3	2	5
Picked	3	2	5
Done	0	1	1
Total	1 434	14	1 448

Accuracy

100.0%

Counts

1 448 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.9%	(/.f64 x (-.f64 y (*.f64 z t)))
	88.9%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (-.f64 (/.f64 y z) t) z)))
	48.6%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
✓	94.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
▶	48.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x))
	92.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (*.f64 (neg.f64 z) (/.f64 t x))))
	53.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 y x)))
	51.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))))
▶	94.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x)
▶	53.0%	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x)
▶	48.5%	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x)
	21.0%	#s(approx (/ x (- y (* z t))) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 y t) x) z (.f64 (.f64 z z) x)) (pow.f64 z #s(literal -3 binary64))) (neg.f64 t)))
▶	51.4%	#s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)))
✓	53.2%	#s(approx (/ x (- y (* z t))) (/.f64 x y))

Compiler

Compiled 228 to 234 computations (-2.6% saved)

simplify502.0ms (7.1%)

Memory

20.5MiB live, 95.2MiB 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 x z)
cost-diff	0	#s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))
cost-diff	0	(/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))
cost-diff	0	#s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)))
cost-diff	0	(*.f64 z t)
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 z t))
cost-diff	0	#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t)))
cost-diff	0	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff	-5760	(/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z t)))
cost-diff	0	(*.f64 z t)
cost-diff	0	(-.f64 y (*.f64 z t))
cost-diff	6080	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x)

Rules

2 928×	`lower-fma.f64`
2 928×	`lower-fma.f32`
2 240×	`lower-*.f32`
2 230×	`lower-*.f64`
1 938×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	218
0	51	218
1	87	214
2	129	214
3	222	208
4	372	208
5	687	208
6	1126	208
7	1362	208
8	2393	208
9	3496	208
10	4138	208
11	4421	208
12	4541	208
13	4629	208
14	5138	208
15	5381	208
16	5404	208
17	5410	208
18	5410	208
19	5410	208
20	5410	208
21	5430	208
22	5482	208
23	5580	208
24	5651	208
25	5801	208
26	5965	208
27	6045	208
28	6182	208
29	6310	208
30	6546	208
31	6546	208
32	6546	208
33	6710	208
34	7182	208
35	7560	208
36	7616	208
37	7616	208
38	7786	208
0	8362	205

Stop Event

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

Calls

Call 1

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

localize136.0ms (1.9%)

Memory

13.2MiB live, 131.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 t)
accuracy	0.5103110910355675	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x))
accuracy	3.1495759962091854	(/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)
accuracy	30.552551348627826	#s(approx (- y (* t z)) (*.f64 (neg.f64 t) z))
accuracy	0	(neg.f64 t)
accuracy	4.628480565475017	(/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))
accuracy	27.206702907567596	#s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))
accuracy	30.54022058200201	#s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)))
accuracy	0	(*.f64 z t)
accuracy	0.5999805863768464	(/.f64 #s(literal -1 binary64) (*.f64 z t))
accuracy	2.867643616636003	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x)
accuracy	30.700961036900257	#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t)))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	2.867643616636003	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x)
accuracy	32.10684734947518	#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(-.f64 y (*.f64 z t))
accuracy	0	(*.f64 z t)
accuracy	0.5023243363768464	(/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z t)))
accuracy	2.867643616636003	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x)

Samples

119.0ms

256×

valid

Compiler

Compiled 156 to 30 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 35.0ms (39.7% of total)

ival-pow: 27.0ms (30.6% of total)

ival-div: 22.0ms (24.9% of total)

ival-sub: 2.0ms (2.3% of total)

ival-add: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series226.0ms (3.2%)

Memory

-29.8MiB live, 90.3MiB allocated

Counts

19 → 684

Calls

Call 1

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

Outputs
#s(alt (/ x y) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) 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 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) 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 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) #<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 y) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) (patch (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 y) (/ (* t z) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) (patch (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) (patch (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) (patch (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 t) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) 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(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) 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(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 y) (/ (* t z) (pow y 2))) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 t) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) x) (patch (.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) x) (patch (.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) 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(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) x) (patch (.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) 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(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) x) (patch (.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) (patch #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 y) (/ (* t z) (pow y 2))) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) (patch #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) (patch #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) #<representation binary64>) () ())) ())
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#s(alt (/ x (- y (* t z))) (taylor inf x) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (patch #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (patch #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (patch #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (patch #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<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>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) x) (patch (.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) x) (patch (.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) x) (patch (.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (.f64 z t))) x) (patch (.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (patch #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (patch #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (patch #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (patch #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<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
11.0ms	t	@	-inf	((* (/ 1 (- y (* z t))) x) (- y (* z t)) (* z t) (/ 1 (- y (* z t))) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x z) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (neg t))
7.0ms	z	@	0	((* (/ 1 (- y (* z t))) x) (- y (* z t)) (* z t) (/ 1 (- y (* z t))) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x z) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (neg t))
4.0ms	x	@	inf	((* (/ 1 (- y (* z t))) x) (- y (* z t)) (* z t) (/ 1 (- y (* z t))) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x z) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (neg t))
2.0ms	x	@	-inf	((* (/ 1 (- y (* z t))) x) (- y (* z t)) (* z t) (/ 1 (- y (* z t))) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x z) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (neg t))
2.0ms	t	@	inf	((* (/ 1 (- y (* z t))) x) (- y (* z t)) (* z t) (/ 1 (- y (* z t))) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (/ x (- y (* z t))) (/ (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (neg t)) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/ x z) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (neg t))

simplify167.0ms (2.4%)

Memory

47.9MiB live, 235.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 610×	`lower-*.f64`
6 610×	`lower-*.f32`
6 608×	`lower-fma.f64`
6 608×	`lower-fma.f32`
2 406×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	9188
1	1543	8830
2	5012	8450
0	8156	8099

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 676

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

rewrite243.0ms (3.4%)

Memory

-37.3MiB live, 226.8MiB allocated

Rules

7 404×	`lower-fma.f64`
7 404×	`lower-fma.f32`
6 154×	`lower-*.f32`
6 144×	`lower-*.f64`
3 264×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	194
0	51	192
1	197	190
2	1208	190
0	8750	187

Stop Event

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

Counts

19 → 437

Calls

Call 1

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

Outputs
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eval155.0ms (2.2%)

Memory: -1.1MiB live, 259.6MiB allocated
Compiler: Compiled 17 932 to 1 996 computations (88.9% saved)

prune34.0ms (0.5%)

Memory

16.5MiB live, 101.9MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 185	3	1 188
Fresh	2	4	6
Picked	1	4	5
Done	0	3	3
Total	1 188	14	1 202

Accuracy

100.0%

Counts

1 202 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.9%	(/.f64 x (-.f64 y (*.f64 z t)))
▶	88.9%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (-.f64 (/.f64 y z) t) z)))
▶	48.6%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
✓	94.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
▶	53.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 y x)))
	52.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)))
✓	94.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x)
▶	49.4%	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x)
✓	53.0%	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x)
✓	48.5%	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x)
	21.0%	#s(approx (/ x (- y (* z t))) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 y t) x) z (.f64 (.f64 z z) x)) (pow.f64 z #s(literal -3 binary64))) (neg.f64 t)))
✓	51.4%	#s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)))
✓	53.2%	#s(approx (/ x (- y (* z t))) (/.f64 x y))
▶	51.4%	#s(approx (/ x (- y (* z t))) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ ( (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))))

Compiler

Compiled 189 to 195 computations (-3.2% saved)

simplify244.0ms (3.5%)

Memory

-22.0MiB live, 107.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) z) t)
cost-diff	0	#s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t))
cost-diff	0	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x)
cost-diff	0	#s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))
cost-diff	0	(/.f64 #s(literal -1 binary64) t)
cost-diff	0	#s(approx (/ x (- y (* z t))) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ ( (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))))
cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ ( (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x 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)))
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 (/.f64 y z) t)
cost-diff	0	#s(approx (- y (* z t)) (*.f64 (-.f64 (/.f64 y z) t) z))
cost-diff	0	(/.f64 x #s(approx (- y (* z t)) (*.f64 (-.f64 (/.f64 y z) t) z)))
cost-diff	704	(*.f64 (-.f64 (/.f64 y z) t) z)

Rules

2 776×	`lower-fma.f64`
2 776×	`lower-fma.f32`
2 708×	`lower-*.f32`
2 700×	`lower-*.f64`
2 398×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	225
0	55	225
1	88	223
2	136	223
3	211	217
4	317	217
5	498	211
6	707	211
7	1381	211
8	4306	211
9	7113	211
0	8109	208

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1.1%)

Memory

7.7MiB live, 123.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.203125	(/.f64 (/.f64 #s(literal -1 binary64) z) t)
accuracy	2.867643616636003	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x)
accuracy	30.700961036900257	#s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t))
accuracy	0	(/.f64 #s(literal -1 binary64) t)
accuracy	4.654203075239173	(.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ ( (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)))
accuracy	27.206702907567596	#s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))
accuracy	30.54022058200201	#s(approx (/ x (- y (* z t))) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ ( (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))))
accuracy	0	(/.f64 y x)
accuracy	0.5103110910355675	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 y x)))
accuracy	30.59661449281809	#s(approx (/ (- y (* t z)) x) (/.f64 y x))
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	3.2927953790237625	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
accuracy	30.552551348627826	#s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))
accuracy	0	#s(approx (- y (* z t)) (*.f64 (-.f64 (/.f64 y z) t) z))
accuracy	0.010097509768442016	(-.f64 (/.f64 y z) t)
accuracy	3.2927953790237625	(/.f64 x #s(approx (- y (* z t)) (*.f64 (-.f64 (/.f64 y z) t) z)))
accuracy	7.275520317541213	(*.f64 (-.f64 (/.f64 y z) t) z)

Samples

59.0ms

256×

valid

Compiler

Compiled 151 to 33 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 18.0ms (44.5% of total)

ival-mult: 12.0ms (29.7% of total)

ival-pow: 4.0ms (9.9% of total)

ival-sub: 3.0ms (7.4% of total)

ival-add: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.7%)

Memory

-4.1MiB live, 77.1MiB allocated

Counts

19 → 672

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((* (- (/ y z) t) z) (/ x (- y (* z t))) (- y (* z t)) (- (/ y z) t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (* (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z))) (/ x (- y (* z t))) (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z))
2.0ms	x	@	-inf	((* (- (/ y z) t) z) (/ x (- y (* z t))) (- y (* z t)) (- (/ y z) t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (* (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z))) (/ x (- y (* z t))) (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z))
2.0ms	t	@	0	((* (- (/ y z) t) z) (/ x (- y (* z t))) (- y (* z t)) (- (/ y z) t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (* (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z))) (/ x (- y (* z t))) (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z))
2.0ms	t	@	inf	((* (- (/ y z) t) z) (/ x (- y (* z t))) (- y (* z t)) (- (/ y z) t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (* (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z))) (/ x (- y (* z t))) (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z))
2.0ms	y	@	-inf	((* (- (/ y z) t) z) (/ x (- y (* z t))) (- y (* z t)) (- (/ y z) t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (neg t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ y x) (* (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z))) (/ x (- y (* z t))) (/ -1 t) (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z))

simplify156.0ms (2.2%)

Memory

5.5MiB live, 234.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 548×	`lower-*.f64`
6 548×	`lower-*.f32`
6 514×	`lower-fma.f64`
6 514×	`lower-fma.f32`
2 444×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	509	8198
1	1635	7896
2	5250	7624
0	8092	7306

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 660

Calls

Call 1

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

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

rewrite193.0ms (2.7%)

Memory

31.6MiB live, 308.0MiB allocated

Rules

5 766×	`lower-fma.f64`
5 766×	`lower-fma.f32`
4 044×	`lower-*.f32`
4 036×	`lower-*.f64`
4 016×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	201
0	55	201
1	224	199
2	1475	199
0	8483	196

Stop Event

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

Counts

19 → 312

Calls

Call 1

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

Outputs
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eval145.0ms (2.1%)

Memory: -14.1MiB live, 259.0MiB allocated
Compiler: Compiled 13 700 to 1 548 computations (88.7% saved)

prune179.0ms (2.5%)

Memory

-190.8MiB live, 123.2MiB allocated

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	972	0	972
Fresh	0	2	2
Picked	0	5	5
Done	0	7	7
Total	972	14	986

Accuracy

100.0%

Counts

986 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.9%	(/.f64 x (-.f64 y (*.f64 z t)))
✓	88.9%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (-.f64 (/.f64 y z) t) z)))
✓	48.6%	(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))
✓	94.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x))
✓	53.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 y x)))
	52.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)))
✓	94.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 z t))) x)
✓	49.4%	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x)
✓	53.0%	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal 1 binary64) y)) x)
✓	48.5%	(.f64 #s(approx (pow (- y ( t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x)
	21.0%	#s(approx (/ x (- y (* z t))) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 y t) x) z (.f64 (.f64 z z) x)) (pow.f64 z #s(literal -3 binary64))) (neg.f64 t)))
✓	51.4%	#s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)))
✓	53.2%	#s(approx (/ x (- y (* z t))) (/.f64 x y))
✓	51.4%	#s(approx (/ x (- y (* z t))) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ ( (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))))

Compiler

Compiled 389 to 242 computations (37.8% saved)

regimes53.0ms (0.8%)

Memory

24.0MiB live, 139.9MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

8.0ms	y
8.0ms	t
7.0ms	x
7.0ms	z
7.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
96.6%	2	`x`
94.9%	1	`y`
96.8%	2	`z`
97.8%	2	`t`
94.9%	1	`(/.f64 x (-.f64 y (*.f64 z t)))`
99.9%	3	`(-.f64 y (*.f64 z t))`
99.9%	3	`(*.f64 z t)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes10.0ms (0.1%)

Memory

-27.1MiB live, 16.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	(*.f64 z t)
3.0ms	(-.f64 y (*.f64 z t))

Results

Accuracy	Segments	Branch
99.9%	3	`(-.f64 y (*.f64 z t))`
99.9%	3	`(*.f64 z t)`

Compiler

Compiled 8 to 11 computations (-37.5% saved)

regimes18.0ms (0.3%)

Memory

7.8MiB live, 45.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	z
3.0ms	t
3.0ms	x
3.0ms	(-.f64 y (*.f64 z t))
3.0ms	y

Results

Accuracy	Segments	Branch
94.9%	1	`y`
94.9%	1	`x`
94.9%	1	`z`
94.9%	1	`t`
94.9%	1	`(-.f64 y (*.f64 z t))`
94.9%	1	`(*.f64 z t)`

Compiler

Compiled 12 to 27 computations (-125% saved)

regimes16.0ms (0.2%)

Memory

3.8MiB live, 41.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
80.7%	3	`(*.f64 z t)`
62.5%	5	`x`
71.0%	3	`z`
72.2%	3	`t`
59.8%	3	`(/.f64 x (-.f64 y (*.f64 z t)))`
70.5%	3	`y`
62.6%	3	`(-.f64 y (*.f64 z t))`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes48.0ms (0.7%)

Memory

-5.1MiB live, 33.3MiB allocated

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

38.0ms	(-.f64 y (*.f64 z t))
2.0ms	z
2.0ms	x
2.0ms	t
2.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`(/.f64 x (-.f64 y (*.f64 z t)))`
53.2%	1	`(-.f64 y (*.f64 z t))`
53.2%	1	`y`
53.2%	1	`z`
53.2%	1	`t`
53.2%	1	`(*.f64 z t)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.596883077473175e+293	+inf
0.0ms	-inf	-2.29476783374102e+302

Compiler

Compiled 10 to 14 computations (-40% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.3587354848691735e+266	3.956943709532898e+268
0.0ms	-inf	-2.29476783374102e+302

Compiler

Compiled 10 to 14 computations (-40% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2393754953778677e-22	1.3312059091545588e-22
0.0ms	-1.1002850538638211e-42	-2.4636033311661318e-51

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify32.0ms (0.5%)

Memory

-5.9MiB live, 73.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	61	216
2	73	216
3	82	216
4	87	216
5	88	216

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z t) #s(literal -inf.0 binary64)) #s(approx (/ x (- y ( z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (if (<=.f64 (.f64 z t) #s(literal 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968 binary64)) (/.f64 x (-.f64 y (.f64 z t))) #s(approx (/ x (- y (* z t))) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ ( (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))))))
(if (<=.f64 (.f64 z t) #s(literal -inf.0 binary64)) #s(approx (/ x (- y ( z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (if (<=.f64 (.f64 z t) #s(literal 499999999999999986719112427080113652938759280561411875296856295993572982012222328347022202238434344507574583811498154595082912292011573470509174869654567731624061306729657053537019645905784664609824424453771502098945256093897234948185210396766581746711736446032543744 binary64)) (/.f64 x (-.f64 y (.f64 z t))) #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)))))
(/.f64 x (-.f64 y (*.f64 z t)))
(if (<=.f64 (.f64 z t) #s(literal -6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x #s(approx (- y ( z t)) (.f64 (neg.f64 t) z))) (if (<=.f64 (.f64 z t) #s(literal 2764794231232625/21267647932558653966460912964485513216 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 -inf.0 binary64)) #s(approx (/ x (- y ( z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (if (<=.f64 (.f64 z t) #s(literal 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968 binary64)) (/.f64 x (-.f64 y (.f64 z t))) #s(approx (/ x (- y (* z t))) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ ( (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))))))
(if (<=.f64 (.f64 t z) #s(literal -inf.0 binary64)) #s(approx (/ x (- y ( z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (if (<=.f64 (.f64 t z) #s(literal 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968 binary64)) (/.f64 x (-.f64 y (.f64 t z))) #s(approx (/ x (- y (* z t))) (.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ ( (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z))))))
(if (<=.f64 (.f64 z t) #s(literal -inf.0 binary64)) #s(approx (/ x (- y ( z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (if (<=.f64 (.f64 z t) #s(literal 499999999999999986719112427080113652938759280561411875296856295993572982012222328347022202238434344507574583811498154595082912292011573470509174869654567731624061306729657053537019645905784664609824424453771502098945256093897234948185210396766581746711736446032543744 binary64)) (/.f64 x (-.f64 y (.f64 z t))) #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)))))
(if (<=.f64 (.f64 t z) #s(literal -inf.0 binary64)) #s(approx (/ x (- y ( z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t))) (if (<=.f64 (.f64 t z) #s(literal 499999999999999986719112427080113652938759280561411875296856295993572982012222328347022202238434344507574583811498154595082912292011573470509174869654567731624061306729657053537019645905784664609824424453771502098945256093897234948185210396766581746711736446032543744 binary64)) (/.f64 x (-.f64 y (.f64 t z))) #s(approx (/ x (- y (* z t))) (/.f64 #s(approx (+ (* (/ x (* z z)) (/ y t)) (/ x z)) (/.f64 x z)) (neg.f64 t)))))
(/.f64 x (-.f64 y (*.f64 z t)))
(/.f64 x (-.f64 y (*.f64 t z)))
(if (<=.f64 (.f64 z t) #s(literal -6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x #s(approx (- y ( z t)) (.f64 (neg.f64 t) z))) (if (<=.f64 (.f64 z t) #s(literal 2764794231232625/21267647932558653966460912964485513216 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 -6277101735386681/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 x #s(approx (- y ( z t)) (.f64 (neg.f64 t) z))) (if (<=.f64 (.f64 t z) #s(literal 2764794231232625/21267647932558653966460912964485513216 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))

soundness504.0ms (7.1%)

Memory

14.7MiB live, 499.7MiB allocated

Rules

7 404×	`lower-fma.f64`
7 404×	`lower-fma.f32`
7 178×	`lower-fma.f64`
7 178×	`lower-fma.f32`
6 732×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	194
0	51	192
1	197	190
2	1208	190
0	8750	187
0	508	8111
1	1635	7776
2	5220	7504
0	8303	7195
0	243	1179
1	779	1140
2	2704	1087
3	7691	1085
0	8981	1047

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 177 to 108 computations (39% saved)

preprocess144.0ms (2%)

Memory: -18.3MiB live, 169.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 744 to 390 computations (47.6% 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%)

analyze150.0ms (2.1%)

sample1.3s (19%)

explain74.0ms (1%)

preprocess77.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.3%)

localize21.0ms (0.3%)

series12.0ms (0.2%)

simplify160.0ms (2.3%)

rewrite204.0ms (2.9%)

eval120.0ms (1.7%)

prune32.0ms (0.5%)

simplify289.0ms (4.1%)

localize132.0ms (1.9%)

series139.0ms (2%)

simplify219.0ms (3.1%)

rewrite222.0ms (3.1%)

eval351.0ms (5%)

prune165.0ms (2.3%)

simplify502.0ms (7.1%)

localize136.0ms (1.9%)

series226.0ms (3.2%)

simplify167.0ms (2.4%)

rewrite243.0ms (3.4%)

eval155.0ms (2.2%)

prune34.0ms (0.5%)

simplify244.0ms (3.5%)

localize78.0ms (1.1%)

series47.0ms (0.7%)

simplify156.0ms (2.2%)

rewrite193.0ms (2.7%)

eval145.0ms (2.1%)

prune179.0ms (2.5%)

regimes53.0ms (0.8%)

regimes10.0ms (0.1%)

regimes18.0ms (0.3%)

regimes16.0ms (0.2%)

regimes48.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify32.0ms (0.5%)

soundness504.0ms (7.1%)

preprocess144.0ms (2%)

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