Metrics for Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample918.0ms (14.8%)

Memory

33.7MiB live, 1 209.8MiB allocated

Samples

704.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-mult: 255.0ms (78.2% of total)

ival-sub: 57.0ms (17.5% of total)

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

exact: 5.0ms (1.5% of total)

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

Bogosity

preprocess61.0ms (1%)

Memory

-27.9MiB live, 63.8MiB allocated

Algorithm

1×	egg-herbie

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
248×	`lower-*.f32`
242×	`lower-*.f64`
190×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	99	84
2	255	81
3	609	81
4	908	81
5	1035	81
6	1075	81
7	1075	81
0	8	9
0	12	9
1	21	9
2	51	9
3	101	9
4	136	9
5	178	9
6	238	9
7	296	9
8	391	9
9	445	9
10	475	9
0	475	8

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 x x))

Symmetry

(abs x)

(sort y z)

explain108.0ms (1.7%)

Memory

-4.8MiB live, 106.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
0	-	-	`y`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`	nan-rescue	2	0
↳	`(*.f64 x x)`	overflow	67
↳	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	overflow	26

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

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 76 to 36 computations (52.6% saved)

Precisions

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

ival-mult: 10.0ms (76.8% of total)

ival-sub: 2.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify20.0ms (0.3%)

Memory

29.5MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal 4 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
248×	`lower-*.f32`
242×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 y (.f64 #s(literal 4 binary64) z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

localize30.0ms (0.5%)

Memory

-3.3MiB live, 38.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 y #s(literal 4 binary64)) z)
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Samples

20.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 5.0ms (77.6% of total)

ival-sub: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-23.8MiB live, 13.2MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

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

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(* (* y 4) z)
1.0ms	x	@	0	(- (* x x) (* (* y 4) z))
1.0ms	y	@	inf	(- (* x x) (* (* y 4) z))
0.0ms	y	@	0	(- (* x x) (* (* y 4) z))
0.0ms	x	@	inf	(- (* x x) (* (* y 4) z))

simplify187.0ms (3%)

Memory

12.8MiB live, 244.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 582×	`lower-fma.f64`
4 582×	`lower-fma.f32`
3 104×	`lower-*.f64`
3 104×	`lower-*.f32`
2 102×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	472
1	96	472
2	258	472
3	1042	472
4	3025	472
5	5788	472
6	7643	472
0	8101	445

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite518.0ms (8.4%)

Memory

12.9MiB live, 690.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 204×	`lower-fma.f64`
14 204×	`lower-fma.f32`
4 716×	`lower-*.f32`
4 710×	`lower-*.f64`
2 560×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	36	20
2	242	20
3	2285	20
0	8408	19

Stop Event

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

Counts

4 → 199

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))

Outputs
(+.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (*.f64 x x))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -64 binary64))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 x x (.f64 (*.f64 y #s(literal 4 binary64)) z)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 #s(literal -4 binary64) (*.f64 y z))))) #s(literal -1 binary64)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -64 binary64))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (.f64 x (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (/.f64 (.f64 z (.f64 z (.f64 (.f64 y y) #s(literal 16 binary64)))) (fma.f64 x x (.f64 (*.f64 y #s(literal 4 binary64)) z))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -64 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -64 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 262144 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -64 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -64 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (.f64 x (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -64 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 4096 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -64 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))) (.f64 x (.f64 x (*.f64 x x))))))
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(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 y z) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 z (.f64 y #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 4 binary64) z) y)
(.f64 (.f64 y z) #s(literal 4 binary64))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y z) #s(literal 1 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) z))))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 y #s(literal 4 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 y #s(literal 4 binary64)))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) z))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (.f64 y z))))
(.f64 (exp.f64 (log.f64 (.f64 y z))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)

eval33.0ms (0.5%)

Memory: 14.0MiB live, 87.7MiB allocated
Compiler: Compiled 14 438 to 627 computations (95.7% saved)

prune76.0ms (1.2%)

Memory

-21.3MiB live, 136.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	281	3	284

Accuracy

100.0%

Counts

284 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
▶	52.0%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
▶	55.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Compiler

Compiled 27 to 17 computations (37% saved)

simplify21.0ms (0.3%)

Memory

34.4MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(*.f64 z #s(literal -4 binary64))
✓	cost-diff	(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
✓	cost-diff	(*.f64 y z)
✓	cost-diff	(.f64 #s(literal -4 binary64) (.f64 y z))
✓	cost-diff	#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Rules

336×	`lower-fma.f32`
334×	`lower-fma.f64`
248×	`lower-*.f32`
240×	`lower-*.f64`
96×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	61
0	22	62
1	39	59
2	65	59
3	104	59
4	140	59
5	182	59
6	242	59
7	303	59
8	398	59
9	452	59
10	482	59
0	482	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y
(*.f64 x x)
x

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 z (.f64 y #s(literal -4 binary64))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 y #s(literal -4 binary64)))
#s(literal -4 binary64)
(*.f64 y z)
y
z
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(fma.f64 x x (.f64 z (.f64 y #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y
(*.f64 x x)
x

localize63.0ms (1%)

Memory

-15.1MiB live, 67.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.6%	(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	52.0%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(.f64 #s(literal -4 binary64) (.f64 y z))
✓	accuracy	55.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Samples

29.0ms

256×

valid

Compiler

Compiled 54 to 16 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (80.9% of total)

ival-sub: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-17.1MiB live, 20.7MiB allocated

Counts

7 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z))) (patch #s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) (.f64 y z)) (patch (.f64 #s(literal -4 binary64) (.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* (* y 4) z)) (.f64 x x)) (patch #s(approx (- ( x x) (* (* y 4) z)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x)) (patch (fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal -4 binary64)) (patch (.f64 z #s(literal -4 binary64)) #<representation binary64>) () ())

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

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* -4 (* y z))
0.0ms	z	@	0	(* -4 (* y z))
0.0ms	y	@	-inf	(* y z)
0.0ms	z	@	-inf	(* y z)
0.0ms	z	@	0	(* z -4)

simplify227.0ms (3.7%)

Memory

7.3MiB live, 362.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 288×	`lower-fma.f64`
5 288×	`lower-fma.f32`
4 202×	`lower-*.f64`
4 202×	`lower-*.f32`
1 716×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1104
1	134	1104
2	365	1104
3	1179	1104
4	3304	1104
5	6666	1104
0	8131	1023

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite2.2s (34.9%)

Memory

16.3MiB live, 586.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 396×	`lower-fma.f32`
10 394×	`lower-fma.f64`
5 128×	`lower-*.f32`
5 120×	`lower-*.f64`
2 026×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	50
0	22	51
1	64	48
2	399	48
3	4477	48
0	8132	48

Stop Event

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

Counts

7 → 196

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(*.f64 y z)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(*.f64 z #s(literal -4 binary64))

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 y (.f64 z #s(literal -4 binary64))))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal -4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))
(neg.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))
(/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))) (.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))))
(/.f64 (.f64 (.f64 z z) (neg.f64 (.f64 (.f64 y y) #s(literal 16 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 y z)))
(.f64 #s(literal 4 binary64) (.f64 y (neg.f64 z)))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z))
(.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal -1 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 y z) #s(literal -4 binary64))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(.f64 (.f64 y #s(literal -4 binary64)) z)
(.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z)))
(.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z))
(.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 y z)) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal -1 binary64)) (*.f64 y #s(literal 4 binary64)))
(.f64 (.f64 z (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 y z)) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 y) z) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 z #s(literal -4 binary64)))))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 z #s(literal -4 binary64)))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 (.f64 y #s(literal 4 binary64)))) (exp.f64 (log.f64 (neg.f64 z))))
(.f64 (exp.f64 (log.f64 (.f64 y #s(literal -4 binary64)))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 (.f64 y z))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (.f64 y z))))
(.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 (.f64 y #s(literal 4 binary64)))))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 y (*.f64 #s(literal 4 binary64) z)))
(.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) z))))
(*.f64 y z)
(*.f64 z y)
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(+.f64 (.f64 x x) (.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (*.f64 x x))))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y z) (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 4 binary64) z)))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (*.f64 x x)))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (/.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))
(fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 x x))
(fma.f64 y (/.f64 (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x)))))
(fma.f64 #s(literal 4 binary64) (neg.f64 (.f64 y z)) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y (neg.f64 z)) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z) (.f64 x x))
(fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) (.f64 x x))
(fma.f64 z (.f64 y #s(literal -4 binary64)) (.f64 x x))
(fma.f64 z (/.f64 (.f64 z (.f64 (.f64 y y) #s(literal 16 binary64))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x)))))
(fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (.f64 y z) (.f64 x x))
(fma.f64 (.f64 y z) #s(literal -4 binary64) (.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))))))))
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(fma.f64 (.f64 z #s(literal -4 binary64)) (/.f64 (.f64 y (.f64 y (.f64 z #s(literal -4 binary64)))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x)))))
(fma.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (/.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (*.f64 x x))))))))
(fma.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))))))))
(fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y) (.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))))))))
(fma.f64 (.f64 z z) (/.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x)))))
(fma.f64 (.f64 (.f64 z z) #s(literal 16 binary64)) (/.f64 (.f64 y y) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x)))))
(fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 x x))
(fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (.f64 z (.f64 y (.f64 z #s(literal -4 binary64)))) (/.f64 (.f64 y #s(literal -4 binary64)) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x)))))
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(.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (*.f64 x x))))))))
(.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 y z) (*.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 y z) (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 y z) (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 y z) (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 y z) (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))) (fma.f64 #s(literal -4 binary64) (.f64 y z) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 #s(literal -4 binary64) (.f64 y z) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal 4096 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (.f64 x (.f64 x (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))) (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64)))) (.f64 y (.f64 (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))) (.f64 (.f64 z z) (.f64 (*.f64 y y) #s(literal 16 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 x (.f64 x (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))))))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 x (.f64 x (fma.f64 y (.f64 #s(literal 4 binary64) z) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (.f64 (.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))) (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (.f64 x x)))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (fma.f64 y (.f64 #s(literal 4 binary64) z) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -64 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 y z) (.f64 x x)) (.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 16 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(neg.f64 (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (neg.f64 z))
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) z))
(*.f64 (neg.f64 z) #s(literal 4 binary64))

eval67.0ms (1.1%)

Memory: -19.6MiB live, 94.9MiB allocated
Compiler: Compiled 9 570 to 477 computations (95% saved)

prune71.0ms (1.1%)

Memory

0.8MiB live, 54.6MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	393	1	394
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	394	3	397

Accuracy

100.0%

Counts

397 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
▶	55.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
✓	52.0%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 27 to 17 computations (37% saved)

simplify30.0ms (0.5%)

Memory

-7.8MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 z #s(literal -4 binary64))
✓	cost-diff	(.f64 (.f64 z #s(literal -4 binary64)) y)
✓	cost-diff	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
248×	`lower-*.f32`
244×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
0	14	26
1	27	26
2	58	26
3	105	26
4	142	26
5	184	26
6	244	26
7	302	26
8	397	26
9	451	26
10	481	26
0	481	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 y (.f64 z #s(literal -4 binary64))))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(.f64 y (.f64 z #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y

localize26.0ms (0.4%)

Memory

27.0MiB live, 63.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 z #s(literal -4 binary64)) y)
✓	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
✓	accuracy	55.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))

Samples

18.0ms

256×

valid

Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions

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

ival-mult: 9.0ms (83.9% of total)

ival-sub: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

-30.7MiB live, 6.3MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

#s(alt #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y)) (patch #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y)) #<representation binary64>) () ())

#s(alt (*.f64 (*.f64 z #s(literal -4 binary64)) y) (patch (*.f64 (*.f64 z #s(literal -4 binary64)) y) #<representation binary64>) () ())

#s(alt (*.f64 z #s(literal -4 binary64)) (patch (*.f64 z #s(literal -4 binary64)) #<representation binary64>) () ())

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(- (* x x) (* (* y 4) z))
0.0ms	x	@	inf	(- (* x x) (* (* y 4) z))
0.0ms	x	@	-inf	(- (* x x) (* (* y 4) z))
0.0ms	y	@	-inf	(- (* x x) (* (* y 4) z))
0.0ms	y	@	inf	(- (* x x) (* (* y 4) z))

simplify194.0ms (3.1%)

Memory

18.5MiB live, 334.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 582×	`lower-fma.f64`
4 582×	`lower-fma.f32`
3 104×	`lower-*.f64`
3 104×	`lower-*.f32`
2 102×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	436
1	96	436
2	258	436
3	1042	436
4	3025	436
5	5788	436
6	7643	436
0	8101	409

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite538.0ms (8.7%)

Memory

-16.9MiB live, 557.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 316×	`lower-fma.f64`
11 316×	`lower-fma.f32`
4 254×	`lower-*.f32`
4 250×	`lower-*.f64`
3 476×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
0	14	23
1	42	23
2	249	23
3	2328	23
0	8377	22

Stop Event

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

Counts

3 → 42

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal -4 binary64) (.f64 y z)))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 (.f64 (.f64 z z) #s(literal 16 binary64)) y) (.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))))) (.f64 #s(literal -4 binary64) (.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))))
(neg.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 (.f64 (.f64 z z) #s(literal 16 binary64)) y) (.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 (.f64 (.f64 z z) #s(literal 16 binary64)) y) (.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))))))
(/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y (.f64 (.f64 (.f64 z z) #s(literal 16 binary64)) y) (.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))) (neg.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))))
(/.f64 (neg.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 #s(literal 0 binary64) (.f64 #s(literal -4 binary64) (*.f64 y z))))))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 y z)))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z))
(.f64 #s(literal 4 binary64) (.f64 y (neg.f64 z)))
(.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal -1 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(.f64 (.f64 y #s(literal -4 binary64)) z)
(.f64 (.f64 #s(literal 4 binary64) z) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z)))
(.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z))
(.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)))
(.f64 (.f64 y z) #s(literal -4 binary64))
(.f64 (neg.f64 (.f64 y z)) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal -1 binary64)) (*.f64 y #s(literal 4 binary64)))
(.f64 (.f64 z (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 y z)) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 y) z) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(neg.f64 (*.f64 #s(literal 4 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 z z) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) z)))))
(*.f64 #s(literal 4 binary64) (neg.f64 z))
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) z))
(*.f64 (neg.f64 z) #s(literal 4 binary64))

eval12.0ms (0.2%)

Memory: -9.0MiB live, 28.8MiB allocated
Compiler: Compiled 1 044 to 104 computations (90% saved)

prune18.0ms (0.3%)

Memory

31.7MiB live, 31.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	114	3	117

Accuracy

100.0%

Counts

117 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
✓	55.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
✓	52.0%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 63 to 31 computations (50.8% saved)

regimes40.0ms (0.6%)

Memory

-21.8MiB live, 53.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Outputs
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))

Calls

7 calls:

11.0ms	x
8.0ms	(*.f64 y #s(literal 4 binary64))
4.0ms	y
4.0ms	z
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.6%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes27.0ms (0.4%)

Memory

7.7MiB live, 44.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))

#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Calls

7 calls:

7.0ms	y
3.0ms	x
3.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
3.0ms	z

Results

Accuracy	Segments	Branch
86.9%	2	`x`
70.5%	3	`y`
69.5%	3	`z`
80.1%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
86.9%	2	`(*.f64 x x)`
73.5%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
70.5%	3	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
86.8%	2	`x`
86.8%	2	`(*.f64 x x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.3%)

Memory

5.9MiB live, 41.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Calls

7 calls:

6.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms	y
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)

Results

Accuracy	Segments	Branch
52.0%	1	`z`
52.0%	1	`y`
52.0%	1	`(*.f64 y #s(literal 4 binary64))`
52.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
52.0%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
52.0%	1	`x`
52.0%	1	`(*.f64 x x)`

Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch20.0ms (0.3%)

Memory

-10.9MiB live, 26.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	7.130159107939721e-16	5.484191106402439e-12

Samples

9.0ms

128×

valid

Compiler

Compiled 143 to 102 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (69% of total)

ival-sub: 1.0ms (23% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.130159107939721e-16	5.484191106402439e-12

Compiler

Compiled 143 to 102 computations (28.7% saved)

simplify12.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	26	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 6684876212141053/1237940039285380274899124224 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 6684876212141053/1237940039285380274899124224 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z))) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Outputs
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 6684876212141053/1237940039285380274899124224 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 6684876212141053/1237940039285380274899124224 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z))) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 6684876212141053/1237940039285380274899124224 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 z y))) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

soundness605.0ms (9.8%)

Memory

-32.8MiB live, 335.3MiB allocated

Rules

14 204×	`lower-fma.f64`
14 204×	`lower-fma.f32`
10 396×	`lower-fma.f32`
10 394×	`lower-fma.f64`
5 128×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
0	22	51
1	64	48
2	399	48
3	4477	48
0	8132	48
0	8	20
0	12	20
1	36	20
2	242	20
3	2285	20
0	8408	19
0	36	472
1	96	472
2	258	472
3	1042	472
4	3025	472
5	5788	472
6	7643	472
0	8101	445

Stop Event

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

Compiler

Compiled 110 to 55 computations (50% saved)

preprocess56.0ms (0.9%)

Memory

18.1MiB live, 56.3MiB allocated

Remove

(sort y z)

(abs x)

Compiler

Compiled 162 to 72 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Iter	Nodes	Cost
0	16	61
0	22	62
1	39	59
2	65	59
3	104	59
4	140	59
5	182	59
6	242	59
7	303	59
8	398	59
9	452	59
10	482	59
0	482	59

Iter	Nodes	Cost
0	12	26
0	14	26
1	27	26
2	58	26
3	105	26
4	142	26
5	184	26
6	244	26
7	302	26
8	397	26
9	451	26
10	481	26
0	481	25

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Iter	Nodes	Cost
0	16	61
0	22	62
1	39	59
2	65	59
3	104	59
4	140	59
5	182	59
6	242	59
7	303	59
8	398	59
9	452	59
10	482	59
0	482	59

Iter	Nodes	Cost
0	12	26
0	14	26
1	27	26
2	58	26
3	105	26
4	142	26
5	184	26
6	244	26
7	302	26
8	397	26
9	451	26
10	481	26
0	481	25

analyze0.0ms (0%)

sample918.0ms (14.8%)

preprocess61.0ms (1%)

explain108.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.3%)

localize30.0ms (0.5%)

series11.0ms (0.2%)

simplify187.0ms (3%)

rewrite518.0ms (8.4%)

eval33.0ms (0.5%)

prune76.0ms (1.2%)

simplify21.0ms (0.3%)

localize63.0ms (1%)

series9.0ms (0.1%)

simplify227.0ms (3.7%)

rewrite2.2s (34.9%)

eval67.0ms (1.1%)

prune71.0ms (1.1%)

simplify30.0ms (0.5%)

localize26.0ms (0.4%)

series4.0ms (0.1%)

simplify194.0ms (3.1%)

rewrite538.0ms (8.7%)

eval12.0ms (0.2%)

prune18.0ms (0.3%)

regimes40.0ms (0.6%)

regimes27.0ms (0.4%)

regimes6.0ms (0.1%)

regimes21.0ms (0.3%)

bsearch20.0ms (0.3%)

bsearch1.0ms (0%)

simplify12.0ms (0.2%)

soundness605.0ms (9.8%)

preprocess56.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Iter	Nodes	Cost
0	16	61
0	22	62
1	39	59
2	65	59
3	104	59
4	140	59
5	182	59
6	242	59
7	303	59
8	398	59
9	452	59
10	482	59
0	482	59

Iter	Nodes	Cost
0	12	26
0	14	26
1	27	26
2	58	26
3	105	26
4	142	26
5	184	26
6	244	26
7	302	26
8	397	26
9	451	26
10	481	26
0	481	25