Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, D

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample857.0ms (13.6%)

Memory

22.6MiB live, 1 132.1MiB allocated

Samples

544.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 349.0ms

ival-mult: 227.0ms (65.1% of total)

ival-add: 53.0ms (15.2% of total)

ival-sub: 48.0ms (13.8% of total)

exact: 11.0ms (3.2% of total)

ival-true: 6.0ms (1.7% of total)

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

Bogosity

preprocess125.0ms (2%)

Memory

-19.0MiB live, 138.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 544×	`lower-fma.f64`
1 544×	`lower-fma.f32`
624×	`lower-*.f32`
616×	`lower-*.f64`
256×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	50	24
2	154	22
3	498	18
4	1114	18
5	1432	18
6	1493	18
7	1500	18
8	1500	18
9	1504	18
0	10	13
0	16	13
1	37	11
2	71	11
3	158	9
4	273	9
5	377	9
6	589	9
7	934	9
8	1230	9
9	1303	9
10	1340	9
11	1346	9
12	1346	9
0	1346	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Outputs

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

explain191.0ms (3%)

Memory

32.1MiB live, 274.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
-	-	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 4 binary64)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`(*.f64 x #s(literal 4 binary64))`
-	-	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
-	-	`x`
-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

76.0ms

512×

valid

Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 55.0ms (89.8% of total)

ival-sub: 3.0ms (4.9% of total)

ival-add: 2.0ms (3.3% of total)

ival-true: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify106.0ms (1.7%)

Memory

-3.9MiB live, 109.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	cost-diff	128	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
✓	cost-diff	448	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

Rules

1 544×	`lower-fma.f64`
1 544×	`lower-fma.f32`
624×	`lower-*.f32`
616×	`lower-*.f64`
256×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	37	42
2	71	42
3	158	40
4	273	40
5	377	40
6	589	40
7	934	40
8	1230	40
9	1303	40
10	1340	40
11	1346	40
12	1346	40
0	1346	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

Outputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 x (.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

localize36.0ms (0.6%)

Memory

25.1MiB live, 91.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
✓	accuracy	99.9%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

20.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (64.1% of total)

ival-sub: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-24.3MiB live, 10.6MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) x)>
#<alt (*.f64 x #s(literal 3 binary64))>

Outputs
#<alt (* -4 x)>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(- (* (* x 3) x) (* x 4))
1.0ms	x	@	inf	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	-inf	(* x 3)
0.0ms	x	@	inf	(* (* x 3) x)
0.0ms	x	@	-inf	(+ (- (* (* x 3) x) (* x 4)) 1)

simplify211.0ms (3.4%)

Memory

-27.7MiB live, 352.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 316×	`lower-fma.f64`
6 316×	`lower-fma.f32`
2 456×	`lower-*.f64`
2 456×	`lower-*.f32`
1 484×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	344
1	137	344
2	323	344
3	753	344
4	1956	340
5	4214	340
6	5944	340
7	7664	340
0	8049	301

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* -4 x)
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
(* -4 x)
(*.f64 #s(literal -4 binary64) x)
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

rewrite521.0ms (8.3%)

Memory

53.3MiB live, 632.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 226×	`lower-fma.f64`
8 226×	`lower-fma.f32`
4 388×	`lower-*.f32`
4 380×	`lower-*.f64`
2 760×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	16	41
1	61	35
2	451	35
3	7371	35
0	8608	30

Stop Event

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

Counts

5 → 343

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -4 binary64)))
(+.f64 (.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64))))
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(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (neg.f64 (.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal 1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal -1 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

eval153.0ms (2.4%)

Memory: -72.7MiB live, 128.9MiB allocated
Compiler: Compiled 12 895 to 1 137 computations (91.2% saved)

prune91.0ms (1.4%)

Memory

-3.3MiB live, 119.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	395	8	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	396	8	404

Accuracy

100.0%

Counts

404 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
▶	99.9%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
▶	48.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
▶	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
	53.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
	49.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
▶	52.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 114 to 80 computations (29.8% saved)

simplify100.0ms (1.6%)

Memory

24.8MiB live, 103.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	cost-diff	128	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	cost-diff	320	(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))

Rules

1 544×	`lower-fma.f32`
1 538×	`lower-fma.f64`
628×	`lower-*.f32`
616×	`lower-*.f64`
256×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	157
0	39	164
1	78	150
2	117	130
3	201	130
4	312	130
5	416	130
6	631	130
7	972	130
8	1272	130
9	1343	130
10	1380	130
11	1386	130
12	1386	130
0	1386	126

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
#s(literal 3 binary64)
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
x
#s(literal -12 binary64)
(.f64 #s(literal 9 binary64) (.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
#s(literal 3 binary64)

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 x (.f64 x #s(literal 9 binary64))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 #s(literal 3 binary64) x))))
#s(literal 3 binary64)
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 #s(literal 3 binary64) x)))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal 3 binary64) x))
x
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
x
#s(literal -12 binary64)
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 9 binary64)))
#s(literal 9 binary64)
(*.f64 x x)
#s(literal 3 binary64)

localize76.0ms (1.2%)

Memory

1.4MiB live, 157.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	accuracy	99.9%	(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
✓	accuracy	99.8%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	accuracy	49.0%	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	accuracy	52.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	accuracy	100.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

Samples

35.0ms	229×	0	valid
4.0ms	16×	1	valid
4.0ms	11×	2	valid

Compiler

Compiled 136 to 25 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 17.0ms (63.4% of total)

ival-add: 6.0ms (22.4% of total)

adjust: 1.0ms (3.7% of total)

ival-sub: 1.0ms (3.7% of total)

exact: 1.0ms (3.7% of total)

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

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

series4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))>
#<alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))>
#<alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))>
#<alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 9 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))>
#<alt #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))>
#<alt (.f64 x (.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))>
#<alt (+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))>
#<alt (.f64 #s(literal 9 binary64) (.f64 x x))>

Outputs
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* x x) 9)
0.0ms	x	@	inf	(+ (* x (+ (* x 9) -12)) 3)
0.0ms	x	@	0	(+ (* x (+ (* x 9) -12)) 3)
0.0ms	x	@	0	(* (* x x) 9)
0.0ms	x	@	inf	(+ (* x 9) -12)

simplify305.0ms (4.9%)

Memory

-37.2MiB live, 291.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 688×	`lower-fma.f64`
5 688×	`lower-fma.f32`
2 586×	`lower-*.f64`
2 586×	`lower-*.f32`
1 370×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	1014
1	150	1014
2	362	1014
3	882	968
4	2287	968
5	4520	968
6	6916	968
0	8051	845

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (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)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.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)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))

rewrite566.0ms (9%)

Memory

42.1MiB live, 667.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 140×	`lower-fma.f32`
8 134×	`lower-fma.f64`
4 694×	`lower-*.f32`
4 682×	`lower-*.f64`
3 590×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	39	136
1	156	126
2	1013	126
0	8295	116

Stop Event

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

Counts

14 → 291

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(+.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(+.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (-.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) (-.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))))
(fma.f64 x #s(literal -12 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 (.f64 x #s(literal -12 binary64)) #s(literal 9 binary64)))))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))) #s(literal 3 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 3 binary64))))) (.f64 x #s(literal -12 binary64)))
(fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) x) (/.f64 (.f64 x (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (neg.f64 (+.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 9 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -3 binary64))))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -9 binary64)) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64))) (+.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 9 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -9 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
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(/.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))))) (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))) (-.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))) (-.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 9 binary64)) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -9 binary64)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))) (neg.f64 (-.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))))) (neg.f64 (-.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (pow.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (.f64 #s(literal 9 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (.f64 (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))) (-.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)))) (-.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64))) (.f64 #s(literal 9 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))) (+.f64 (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 9 binary64)) (.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -3 binary64)))))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 9 binary64)) (.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -3 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)) (-.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 x #s(literal 9 binary64)) x)

eval63.0ms (1%)

Memory: 8.6MiB live, 121.7MiB allocated
Compiler: Compiled 8 636 to 630 computations (92.7% saved)

prune69.0ms (1.1%)

Memory

-0.4MiB live, 84.3MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	473	4	477
Fresh	3	0	3
Picked	0	5	5
Done	0	0	0
Total	476	9	485

Accuracy

100.0%

Counts

485 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	48.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
▶	53.0%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	49.3%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
▶	48.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
✓	52.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 61 to 42 computations (31.1% saved)

simplify120.0ms (1.9%)

Memory

-5.4MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	cost-diff	0	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
✓	cost-diff	0	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
✓	cost-diff	320	(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))

Rules

1 544×	`lower-fma.f32`
1 540×	`lower-fma.f64`
624×	`lower-*.f32`
614×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	116
0	35	106
1	80	102
2	125	96
3	195	96
4	293	96
5	395	96
6	609	96
7	953	96
8	1251	96
9	1325	96
10	1362	96
11	1368	96
12	1368	96
0	1368	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
x
#s(literal -12 binary64)
#s(literal 3 binary64)

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x (.f64 x #s(literal 9 binary64))))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x (.f64 x #s(literal 9 binary64))))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
x
#s(literal -12 binary64)
#s(literal 3 binary64)

localize73.0ms (1.2%)

Memory

-8.5MiB live, 160.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	accuracy	53.0%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	accuracy	99.8%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
✓	accuracy	49.4%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	accuracy	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
✓	accuracy	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))

Samples

35.0ms	212×	0	valid
8.0ms	29×	1	valid
6.0ms	15×	2	valid

Compiler

Compiled 95 to 26 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 18.0ms (61.4% of total)

ival-add: 6.0ms (20.5% of total)

adjust: 2.0ms (6.8% of total)

ival-sub: 1.0ms (3.4% of total)

exact: 1.0ms (3.4% of total)

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

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

series3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))>
#<alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))>
#<alt (.f64 (.f64 x #s(literal 9 binary64)) x)>
#<alt (*.f64 x #s(literal 9 binary64))>
#<alt #s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))>
#<alt (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))>
#<alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))>
#<alt #s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))>
#<alt (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))>

Outputs
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* -12 x)>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 9)
0.0ms	x	@	-inf	(* x (+ (* x 9) -12))
0.0ms	x	@	inf	(* x 9)
0.0ms	x	@	inf	(* x (+ (* x 9) -12))
0.0ms	x	@	0	(* x 9)

simplify290.0ms (4.6%)

Memory

-14.6MiB live, 409.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
2 786×	`lower-*.f64`
2 786×	`lower-*.f32`
1 328×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	742
1	103	742
2	252	742
3	650	708
4	1681	708
5	3402	708
6	5106	708
7	6404	708
8	7594	708
0	8037	621

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))

Outputs
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))

rewrite343.0ms (5.5%)

Memory

19.1MiB live, 571.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 864×	`lower-fma.f32`
7 860×	`lower-fma.f64`
4 340×	`lower-*.f32`
4 330×	`lower-*.f64`
3 722×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	106
0	35	96
1	151	92
2	1123	92
0	8268	86

Stop Event

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

Counts

11 → 188

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
(*.f64 #s(literal 3 binary64) x)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(*.f64 x #s(literal 9 binary64))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))

Outputs
(exp.f64 (log.f64 (.f64 #s(literal 9 binary64) (.f64 x x))))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(literal 9 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(literal 9 binary64) (.f64 x x)))
(exp.f64 (log.f64 (.f64 #s(literal 9 binary64) (.f64 x x))))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 9 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal 9 binary64) x)
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (.f64 x #s(literal -12 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 x #s(literal -12 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 12 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 12 binary64)))))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 x #s(literal -12 binary64)))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal -12 binary64)))
(fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal -12 binary64) x (.f64 #s(literal 9 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (/.f64 x x) (/.f64 (.f64 #s(literal -12 binary64) (.f64 x #s(literal -12 binary64))) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 144 binary64) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 #s(literal -12 binary64) x) (/.f64 (.f64 x (.f64 x #s(literal -12 binary64))) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 (.f64 x #s(literal -12 binary64)) x) (/.f64 (.f64 x #s(literal -12 binary64)) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 #s(literal 144 binary64) x) (/.f64 (.f64 x x) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 (.f64 (.f64 x #s(literal -12 binary64)) x) x) (/.f64 #s(literal -12 binary64) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))))
(fma.f64 (/.f64 (.f64 (.f64 x #s(literal -12 binary64)) #s(literal -12 binary64)) x) (/.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 12 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64))))))
(neg.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))) (.f64 (neg.f64 x) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 12 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64)))))
(neg.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (neg.f64 x) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 (.f64 x #s(literal -12 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64))))) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 12 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 #s(literal -144 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (+.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))) (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (+.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))) (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x)))
(/.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 12 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64))))
(/.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 (.f64 x #s(literal -12 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64))))))
(/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))) (.f64 x (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 12 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 (.f64 x #s(literal -12 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64)))))))
(/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (neg.f64 x) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))))) (.f64 (neg.f64 x) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 #s(literal -144 binary64) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 12 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (fma.f64 (.f64 x x) #s(literal 81 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
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(/.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 x #s(literal 36 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 144 binary64) #s(literal -9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal 9 binary64)) (.f64 x #s(literal 36 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) #s(literal 144 binary64) (.f64 x #s(literal 36 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 144 binary64) #s(literal -9 binary64))) (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -144 binary64) (.f64 x x))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal 9 binary64)) (.f64 x #s(literal 36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 144 binary64) #s(literal -9 binary64)))) (neg.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -144 binary64) (.f64 x x)))) (neg.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 144 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal 36 binary64)))))
(.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) #s(literal 144 binary64) (*.f64 x #s(literal 36 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal 36 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64))))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -144 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal 12 binary64)))))

eval37.0ms (0.6%)

Memory: 18.8MiB live, 92.4MiB allocated
Compiler: Compiled 4 388 to 460 computations (89.5% saved)

prune28.0ms (0.4%)

Memory

0.9MiB live, 84.5MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	336	1	337
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	336	10	346

Accuracy

100.0%

Counts

346 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	48.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
✓	53.0%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	49.3%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
▶	3.7%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	48.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
✓	52.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 65 to 45 computations (30.8% saved)

simplify7.0ms (0.1%)

Memory

-26.2MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

#s(approx (+ (* x 9) -12) #s(literal -12 binary64))

✓

cost-diff

(*.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64)))

✓

cost-diff

#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64))))

Rules

44×	`lower-fma.f64`
44×	`lower-fma.f32`
28×	`lower-+.f64`
28×	`lower-+.f32`
26×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	15	39
1	26	37
2	35	37
3	38	37
0	38	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
x
#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
#s(literal -12 binary64)

Outputs
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
x
#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
#s(literal -12 binary64)

localize47.0ms (0.7%)

Memory

6.4MiB live, 45.3MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

99.8%

(*.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64)))

✓

accuracy

52.1%

#s(approx (+ (* x 9) -12) #s(literal -12 binary64))

✓

accuracy

49.4%

#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64))))

Samples

20.0ms	11×	2	valid
16.0ms	229×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 27 to 14 computations (48.1% saved)

Precisions

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

ival-add: 21.0ms (67.9% of total)

ival-mult: 8.0ms (25.9% of total)

adjust: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

#<alt #s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64))))>

#<alt (*.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64)))>

#<alt #s(approx (+ (* x 9) -12) #s(literal -12 binary64))>

Outputs
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (+ (* x -12) (* 9 (* x x))) 3)
0.0ms	x	@	-inf	(+ (* x 9) -12)
0.0ms	x	@	inf	(+ (+ (* x -12) (* 9 (* x x))) 3)
0.0ms	x	@	-inf	(+ (+ (* x -12) (* 9 (* x x))) 3)
0.0ms	x	@	-inf	(* x (+ (* x 9) -12))

simplify303.0ms (4.8%)

Memory

9.4MiB live, 343.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 910×	`lower-fma.f64`
6 910×	`lower-fma.f32`
2 968×	`lower-*.f64`
2 968×	`lower-*.f32`
1 086×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	234
1	91	234
2	217	234
3	537	212
4	1440	212
5	3554	212
6	5302	212
7	6520	212
8	7585	212
0	8017	179

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))

rewrite410.0ms (6.5%)

Memory

-22.6MiB live, 492.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 052×	`lower-fma.f64`
8 052×	`lower-fma.f32`
4 602×	`lower-*.f32`
4 600×	`lower-*.f64`
2 904×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
0	15	37
1	67	35
2	509	35
3	6694	35
0	8036	30

Stop Event

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

Counts

3 → 4

Calls

Call 1

Inputs

#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64))))

(*.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64)))

#s(approx (+ (* x 9) -12) #s(literal -12 binary64))

Outputs
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
(.f64 #s(approx (+ ( x 9) -12) #s(literal -12 binary64)) x)
#s(approx (+ (* x 9) -12) #s(literal -12 binary64))

eval4.0ms (0.1%)

Memory: 9.3MiB live, 9.3MiB allocated
Compiler: Compiled 216 to 12 computations (94.4% saved)

prune7.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	40	10	50

Accuracy

100.0%

Counts

50 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
✓	48.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
✓	53.0%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	49.3%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	3.7%	#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	48.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
✓	52.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 153 to 76 computations (50.3% saved)

regimes22.0ms (0.3%)

Memory

-21.9MiB live, 50.6MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))

Calls

4 calls:

7.0ms	x
6.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
4.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
4.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes13.0ms (0.2%)

Memory

-0.9MiB live, 38.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))

Outputs

#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))

#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))

Calls

4 calls:

3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	x
3.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
3.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.6%	3	`x`
98.6%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
98.6%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.6%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes8.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))

Calls

3 calls:

3.0ms

(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

2.0ms

(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

2.0ms

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.9%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
97.9%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.9%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory

-23.4MiB live, 21.1MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))

Calls

3 calls:

4.0ms

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

2.0ms

(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

2.0ms

(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
97.9%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
97.9%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.9%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))

Calls

4 calls:

2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	x
2.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
53.0%	1	`x`
53.0%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
53.0%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
53.0%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes7.0ms (0.1%)

Memory

-21.6MiB live, 17.4MiB allocated

Accuracy

Total -31.7b remaining (-104.3%)

Threshold costs -31.7b (-104.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (+ (* x -12) (* 9 (* x x))) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Calls

4 calls:

3.0ms	x
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
1.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
52.6%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
52.6%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.39830888275277e-6	30.908808848997985

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.39830888275277e-6	30.908808848997985

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.39830888275277e-6	30.908808848997985

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	202
1	50	202
2	61	202
3	67	202
4	71	202
5	72	202

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(if (<=.f64 (-.f64 (.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 (-.f64 (.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(literal 9 binary64) (.f64 x x))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x)))
(if (<=.f64 (-.f64 (.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/590295810358705651712 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 x (.f64 x #s(literal 9 binary64)))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

soundness1.0s (16%)

Memory

-19.7MiB live, 345.3MiB allocated

Rules

8 140×	`lower-fma.f32`
8 134×	`lower-fma.f64`
6 316×	`lower-fma.f64`
6 316×	`lower-fma.f32`
4 694×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	39	136
1	156	126
2	1013	126
0	8295	116
0	51	344
1	137	344
2	323	344
3	753	344
4	1956	340
5	4214	340
6	5944	340
7	7664	340
0	8049	301

Stop Event

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

Compiler

Compiled 125 to 58 computations (53.6% saved)

preprocess46.0ms (0.7%)

Memory: 14.4MiB live, 133.0MiB allocated
Compiler: Compiled 206 to 82 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample857.0ms (13.6%)

preprocess125.0ms (2%)

explain191.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify106.0ms (1.7%)

localize36.0ms (0.6%)

series7.0ms (0.1%)

simplify211.0ms (3.4%)

rewrite521.0ms (8.3%)

eval153.0ms (2.4%)

prune91.0ms (1.4%)

simplify100.0ms (1.6%)

localize76.0ms (1.2%)

series4.0ms (0.1%)

simplify305.0ms (4.9%)

rewrite566.0ms (9%)

eval63.0ms (1%)

prune69.0ms (1.1%)

simplify120.0ms (1.9%)

localize73.0ms (1.2%)

series3.0ms (0%)

simplify290.0ms (4.6%)

rewrite343.0ms (5.5%)

eval37.0ms (0.6%)

prune28.0ms (0.4%)

simplify7.0ms (0.1%)

localize47.0ms (0.7%)

series1.0ms (0%)

simplify303.0ms (4.8%)

rewrite410.0ms (6.5%)

eval4.0ms (0.1%)

prune7.0ms (0.1%)

regimes22.0ms (0.3%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.0s (16%)

preprocess46.0ms (0.7%)

end0.0ms (0%)

Profiling