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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.3s (19.9%)

Memory

-0.9MiB live, 1 033.1MiB allocated

Samples

912.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 713.0ms

ival-mult: 331.0ms (46.4% of total)

ival-sub: 199.0ms (27.9% of total)

ival-add: 162.0ms (22.7% of total)

exact: 12.0ms (1.7% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain172.0ms (2.6%)

Memory

-18.6MiB live, 270.0MiB 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

36.0ms

512×

valid

Compiler

Compiled 114 to 34 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 15.0ms (68.7% of total)

ival-sub: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% of total)

ival-true: 1.0ms (4.6% of total)

exact: 1.0ms (4.6% of total)

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

preprocess106.0ms (1.6%)

Memory

8.3MiB live, 120.7MiB 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))

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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)

simplify70.0ms (1.1%)

Memory

7.9MiB live, 84.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)

localize29.0ms (0.4%)

Memory

21.0MiB live, 55.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.0078125	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
accuracy	0.06640625	(.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	0.1328125	(.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 (65.4% of total)

ival-sub: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-21.8MiB live, 14.4MiB 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
3.0ms	x	@	inf	(* (* x 3) x)
1.0ms	x	@	inf	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	0	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	-inf	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	-inf	(+ (- (* (* x 3) x) (* x 4)) 1)

simplify178.0ms (2.7%)

Memory

23.1MiB live, 226.6MiB 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))

rewrite336.0ms (5.1%)

Memory

16.6MiB live, 518.6MiB allocated

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)

eval64.0ms (1%)

Memory: -29.2MiB live, 115.4MiB allocated
Compiler: Compiled 12 955 to 1 137 computations (91.2% saved)

prune76.0ms (1.2%)

Memory

-13.8MiB live, 104.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	393	10	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	394	10	404

Accuracy

100.0%

Counts

404 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
	69.8%	(.f64 #s(literal 3 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 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)))
▶	46.1%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
▶	56.4%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
	56.0%	(.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)))
	46.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	56.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
	56.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
▶	45.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 192 to 114 computations (40.6% saved)

simplify67.0ms (1%)

Memory

26.9MiB live, 67.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
cost-diff	0	(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
cost-diff	0	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
cost-diff	0	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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`
1 536×	`lower-fma.f64`
632×	`lower-*.f32`
622×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	174
0	39	180
1	80	156
2	123	144
3	211	144
4	312	144
5	414	144
6	627	144
7	971	144
8	1266	144
9	1339	144
10	1376	144
11	1382	144
12	1382	144
0	1382	140

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

localize100.0ms (1.5%)

Memory

-30.6MiB live, 127.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
accuracy	0.05859375	(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
accuracy	0.06640625	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
accuracy	27.862314217855904	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
accuracy	0	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
accuracy	0.06640625	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
accuracy	34.70042880018913	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.14969503162065376	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	28.070059164070976	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	34.943468669919895	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
accuracy	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
accuracy	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	0.0859375	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

Samples

38.0ms	226×	0	valid
6.0ms	18×	1	valid
4.0ms	12×	2	valid

Compiler

Compiled 142 to 25 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 23.0ms (67.3% of total)

ival-add: 7.0ms (20.5% of total)

adjust: 2.0ms (5.9% of total)

ival-sub: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

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

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

series10.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB 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) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))>
#<alt #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))>
#<alt (.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))>
#<alt #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))>
#<alt (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))>
#<alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 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 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 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* -4 x))>
#<alt (* -4 x)>
#<alt (* x (- (/ 1 x) 4))>
#<alt (* x (- (/ 1 x) 4))>
#<alt (* x (- (/ 1 x) 4))>
#<alt (* -4 x)>
#<alt (* -1 (* x (- 4 (/ 1 x))))>
#<alt (* -1 (* x (- 4 (/ 1 x))))>
#<alt (* -1 (* x (- 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 (* -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 -4>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* x x) 9)
0.0ms	x	@	-inf	(* x (+ (* x 3) -4))
0.0ms	x	@	-inf	(* (* x x) 9)
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	inf	(* x (+ (* x 3) -4))

simplify170.0ms (2.6%)

Memory

24.7MiB live, 214.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 170×	`lower-fma.f64`
6 170×	`lower-fma.f32`
2 496×	`lower-*.f64`
2 496×	`lower-*.f32`
1 490×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1050
1	170	1050
2	430	1000
3	1065	1000
4	2274	1000
5	4873	1000
6	7468	1000
0	8020	844

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))))
1
(+ 1 (* -4 x))
(+ 1 (* -4 x))
(+ 1 (* -4 x))
(* -4 x)
(* x (- (/ 1 x) 4))
(* x (- (/ 1 x) 4))
(* x (- (/ 1 x) 4))
(* -4 x)
(* -1 (* x (- 4 (/ 1 x))))
(* -1 (* x (- 4 (/ 1 x))))
(* -1 (* x (- 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))))
(* -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))))
-4
(- (* 3 x) 4)
(- (* 3 x) 4)
(- (* 3 x) 4)
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))

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

rewrite359.0ms (5.4%)

Memory

-30.1MiB live, 459.7MiB allocated

Rules

8 734×	`lower-fma.f32`
8 726×	`lower-fma.f64`
4 110×	`lower-*.f32`
4 100×	`lower-*.f64`
3 510×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	160
0	39	166
1	157	130
2	1110	130
0	8358	126

Stop Event

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

Counts

14 → 387

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) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.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 #s(literal 3 binary64) #s(literal -4 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)))
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #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 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 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 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 (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 #s(literal 9 binary64) (.f64 x x))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))) (.f64 x #s(literal -12 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal -4 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 (.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 (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 (.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)))) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 x #s(literal -12 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 x (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (fma.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) #s(literal 3 binary64)))
(fma.f64 x (.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x (.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 x (.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x)) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 x (.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x)) (fma.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x (+.f64 #s(literal -12 binary64) (.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64))
(fma.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x (+.f64 #s(literal -12 binary64) (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 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 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (fma.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) x) #s(literal -4 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
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(/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))) (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 12 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 12 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x))))))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 12 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64))))
(.f64 (-.f64 #s(literal 16 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64)))))

eval138.0ms (2.1%)

Memory: 0.5MiB live, 156.4MiB allocated
Compiler: Compiled 9 975 to 1 089 computations (89.1% saved)

prune281.0ms (4.3%)

Memory

29.2MiB live, 106.1MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	552	3	555
Fresh	2	3	5
Picked	0	5	5
Done	0	0	0
Total	554	11	565

Accuracy

100.0%

Counts

565 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
✓	46.1%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
✓	56.4%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
▶	56.0%	(.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)))
▶	46.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64)) #s(literal 3 binary64)))
	99.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (/.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)))))
✓	56.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	56.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
▶	56.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	45.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 145 to 90 computations (37.9% saved)

simplify107.0ms (1.6%)

Memory

-2.1MiB live, 89.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1 640×	`lower-fma.f32`
1 632×	`lower-fma.f64`
692×	`lower-*.f32`
678×	`lower-*.f64`
288×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	171
0	44	171
1	93	153
2	132	149
3	213	149
4	314	149
5	414	149
6	624	149
7	972	149
8	1302	149
9	1411	149
10	1488	149
11	1510	149
12	1521	149
13	1530	149
14	1537	149
15	1539	149
0	1539	143

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (1.3%)

Memory

-27.3MiB live, 164.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.06640625	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
accuracy	0.1328125	(.f64 x (.f64 x #s(literal 3 binary64)))
accuracy	28.060164435824706	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
accuracy	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
accuracy	0.17578125	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
accuracy	27.865467157267418	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
accuracy	0	(*.f64 x #s(literal 9 binary64))
accuracy	0.1015625	(.f64 (.f64 x #s(literal 9 binary64)) x)
accuracy	28.070059164070976	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
accuracy	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64)) #s(literal 3 binary64)))
accuracy	0.0859375	(fma.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64)) #s(literal 3 binary64))
accuracy	35.235721467780046	#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
accuracy	0.05859375	(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
accuracy	0.0625	(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))

Samples

41.0ms	205×	0	valid
9.0ms	24×	2	valid
7.0ms	27×	1	valid

Compiler

Compiled 143 to 25 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 23.0ms (54% of total)

ival-add: 7.0ms (16.4% of total)

ival-sub: 7.0ms (16.4% of total)

adjust: 4.0ms (9.4% of total)

exact: 1.0ms (2.3% of total)

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

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

series11.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

16 → 192

Calls

Call 1

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

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 (* -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 -4>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<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 (* 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 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

48 calls:

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

simplify166.0ms (2.5%)

Memory

14.0MiB live, 171.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 816×	`lower-fma.f64`
5 816×	`lower-fma.f32`
2 528×	`lower-*.f64`
2 528×	`lower-*.f32`
1 536×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	1130
1	160	1130
2	397	1130
3	977	1088
4	2548	1088
5	4790	1088
6	7435	1088
0	8053	938

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

rewrite339.0ms (5.1%)

Memory

-1.1MiB live, 433.4MiB allocated

Rules

8 002×	`lower-fma.f32`
7 994×	`lower-fma.f64`
4 270×	`lower-*.f32`
4 256×	`lower-*.f64`
3 620×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	158
0	44	158
1	168	136
2	1118	136
0	8262	130

Stop Event

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

Counts

16 → 450

Calls

Call 1

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

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

eval117.0ms (1.8%)

Memory: -9.8MiB live, 180.3MiB allocated
Compiler: Compiled 11 713 to 1 130 computations (90.4% saved)

prune202.0ms (3.1%)

Memory

-104.6MiB live, 196.5MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	640	2	642
Fresh	1	0	1
Picked	0	5	5
Done	0	5	5
Total	641	12	653

Accuracy

100.0%

Counts

653 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
▶	99.8%	(/.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))))
✓	46.1%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
✓	56.4%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
✓	56.0%	(.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)))
✓	46.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	56.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	56.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	56.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
▶	4.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
✓	45.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 96 to 60 computations (37.5% saved)

simplify122.0ms (1.8%)

Memory

26.4MiB live, 107.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
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	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
cost-diff	1408	(/.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))))
cost-diff	0	#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))

Rules

1 640×	`lower-fma.f32`
1 636×	`lower-fma.f64`
720×	`lower-*.f32`
718×	`lower-*.f64`
426×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	74
0	27	82
1	61	76
2	120	64
3	234	64
4	429	64
5	608	64
6	919	64
7	1438	64
8	1789	64
9	2140	64
10	2437	64
11	2494	64
12	2508	64
13	2515	64
14	2516	64
15	2516	64
16	2520	64
0	2520	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.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)
(/.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))))
#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)))
(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)

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

localize61.0ms (0.9%)

Memory

-23.1MiB live, 134.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
accuracy	0.078125	(/.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))))
accuracy	0.0859375	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
accuracy	0.47659166461878955	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
accuracy	0.17578125	(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
accuracy	27.865467157267418	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
accuracy	35.235721467780046	#s(approx (+ (* x 9) -12) #s(literal -12 binary64))

Samples

31.0ms	224×	0	valid
8.0ms	16×	1	valid
4.0ms	16×	2	valid

Compiler

Compiled 72 to 20 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 14.0ms (42% of total)

ival-add: 9.0ms (27% of total)

ival-div: 7.0ms (21% of total)

adjust: 1.0ms (3% of total)

ival-sub: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

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

series5.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

7 → 84

Calls

Call 1

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

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)))>
#<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 1/3>
#<alt (+ 1/3 (* 4/3 x))>
#<alt (+ 1/3 (* x (+ 4/3 (* 13/3 x))))>
#<alt (+ 1/3 (* x (+ 4/3 (* x (+ 13/3 (* 40/3 x))))))>
#<alt (/ 1/9 (pow x 2))>
#<alt (/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1/9 (+ (/ 13/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 1/9 (+ (/ 13/81 (pow x 2)) (+ (* 4/27 (/ 1 x)) (* 40/243 (/ 1 (pow x 3)))))) (pow x 2))>
#<alt (/ 1/9 (pow x 2))>
#<alt (/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1/9 (+ (/ 13/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 13/81 (* 40/243 (/ 1 x))) x)) 4/27) x))) (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 -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

21 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ 1 (+ (* x (+ (* x 9) -12)) 3))
0.0ms	x	@	-inf	(* x (+ (* x 9) -12))
0.0ms	x	@	inf	(* x (+ (* x 9) -12))
0.0ms	x	@	-inf	(/ 1 (+ (* x (+ (* x 9) -12)) 3))
0.0ms	x	@	inf	(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))

simplify170.0ms (2.6%)

Memory

-21.4MiB live, 258.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 478×	`lower-fma.f64`
5 478×	`lower-fma.f32`
2 416×	`lower-*.f64`
2 416×	`lower-*.f32`
1 512×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	590
1	198	590
2	445	590
3	930	560
4	2139	560
5	5075	552
0	8294	474

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)))
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))))
1/3
(+ 1/3 (* 4/3 x))
(+ 1/3 (* x (+ 4/3 (* 13/3 x))))
(+ 1/3 (* x (+ 4/3 (* x (+ 13/3 (* 40/3 x))))))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))
(/ (+ 1/9 (+ (/ 13/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))
(/ (+ 1/9 (+ (/ 13/81 (pow x 2)) (+ (* 4/27 (/ 1 x)) (* 40/243 (/ 1 (pow x 3)))))) (pow x 2))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))
(/ (+ 1/9 (+ (/ 13/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))
(/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 13/81 (* 40/243 (/ 1 x))) x)) 4/27) x))) (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))))
-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 #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 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)))
-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))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 4/3 x))
(fma.f64 x #s(literal 4/3 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 4/3 (* 13/3 x))))
(fma.f64 x (fma.f64 x #s(literal 13/3 binary64) #s(literal 4/3 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 4/3 (* x (+ 13/3 (* 40/3 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 40/3 binary64) #s(literal 13/3 binary64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64))
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) (*.f64 x x))
(/ (+ 1/9 (+ (/ 13/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) (/.f64 #s(literal 13/81 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1/9 (+ (/ 13/81 (pow x 2)) (+ (* 4/27 (/ 1 x)) (* 40/243 (/ 1 (pow x 3)))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 #s(literal 13/81 binary64) (/.f64 #s(literal 40/243 binary64) x)) x)) x)) (*.f64 x x))
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) (*.f64 x x))
(/ (+ 1/9 (+ (/ 13/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) (/.f64 #s(literal 13/81 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 13/81 (* 40/243 (/ 1 x))) x)) 4/27) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 #s(literal 13/81 binary64) (/.f64 #s(literal 40/243 binary64) x)) x)) x)) (*.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))
-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))

rewrite571.0ms (8.6%)

Memory

-24.9MiB live, 323.6MiB allocated

Rules

5 016×	`lower-fma.f32`
5 012×	`lower-fma.f64`
4 776×	`lower-*.f32`
4 774×	`lower-*.f64`
3 912×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	67
0	27	63
1	126	61
2	891	61
0	8387	59

Stop Event

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

Counts

7 → 268

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.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))
(/.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) (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))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.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))
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(+.f64 #s(literal 3 binary64) (.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(+.f64 (/.f64 (.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)))) (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 (.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 3 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -12 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 3 binary64))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (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 0 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (neg.f64 x) #s(literal -3 binary64)))
(-.f64 (/.f64 (.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)))) (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 (.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 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) #s(literal 1 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))) #s(literal 1 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 (.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)))) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #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 (.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 #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 1 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -12 binary64))))
(fma.f64 #s(literal 9 binary64) (*.f64 x 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 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 1 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (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))) (*.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 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal -12 binary64)))))) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 12 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 #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 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #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 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #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))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 x #s(literal 108 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))) (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #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)) (+.f64 #s(literal 144 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 x #s(literal 108 binary64)))))
(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (.f64 x #s(literal 108 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (neg.f64 (+.f64 #s(literal 144 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 x #s(literal 108 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64)))
(/.f64 (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 144 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -5159780352 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 2985984 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1259712 binary64)))) (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2985984 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64)) (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 531441 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2985984 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal 11664 binary64)))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -20736 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (.f64 x #s(literal 108 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)))) (neg.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (.f64 x x)))) (neg.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (fma.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 (/.f64 (.f64 #s(literal 81 binary64) (*.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #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)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (*.f64 x #s(literal 108 binary64))))))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64))))
(.f64 (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))

eval58.0ms (0.9%)

Memory: 37.1MiB live, 74.8MiB allocated
Compiler: Compiled 8 884 to 861 computations (90.3% saved)

prune43.0ms (0.6%)

Memory

-36.7MiB live, 121.5MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	351	1	352
Fresh	0	0	0
Picked	1	1	2
Done	0	10	10
Total	352	12	364

Accuracy

100.0%

Counts

364 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
	56.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (+ (* x 9) -12)) 3)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))
✓	46.1%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
✓	56.4%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
✓	56.0%	(.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)))
✓	46.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(approx (+ (* x 9) -12) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	56.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	56.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	56.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	4.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
✓	45.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 241 to 98 computations (59.3% saved)

regimes22.0ms (0.3%)

Memory

28.5MiB live, 67.1MiB allocated

Counts

17 → 1

Calls

Call 1

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

6.0ms	(.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)))
5.0ms	x
5.0ms	(-.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))

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)

regimes15.0ms (0.2%)

Memory

4.2MiB live, 41.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

6.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	x
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
98.4%	3	`x`
98.4%	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)))`
98.4%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.4%	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)

regimes13.0ms (0.2%)

Memory

-13.7MiB live, 27.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

3 calls:

7.0ms

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

3.0ms

(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 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
98.4%	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)))`
98.4%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.4%	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

19.7MiB live, 19.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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
97.8%	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)))`
97.8%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.8%	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)

regimes10.0ms (0.2%)

Memory

-17.8MiB live, 20.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	x
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
46.1%	1	`x`
46.1%	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)))`
46.1%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
46.1%	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)

regimes6.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Accuracy

Total -27.2b remaining (-77.8%)

Threshold costs -27.2b (-77.8%)

Counts

2 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
45.4%	1	`x`
45.4%	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)))`
45.4%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
45.4%	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

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.027135351280839735	9047169193.778816

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	0.027135351280839735	9047169193.778816

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	0.027135351280839735	9047169193.778816

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify11.0ms (0.2%)

Memory

-17.7MiB live, 19.5MiB 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	36	203
1	51	203
2	62	203
3	68	203
4	72	203
5	73	203

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 3602879701896397/72057594037927936 binary64)) (.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 binary64)) (.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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 3602879701896397/72057594037927936 binary64)) (.f64 #s(literal 3 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 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 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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))

soundness927.0ms (14%)

Memory

3.7MiB live, 401.1MiB allocated

Rules

8 734×	`lower-fma.f32`
8 726×	`lower-fma.f64`
6 316×	`lower-fma.f64`
6 316×	`lower-fma.f32`
4 110×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	160
0	39	166
1	157	130
2	1110	130
0	8358	126
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 141 to 63 computations (55.3% saved)

preprocess48.0ms (0.7%)

Memory: 9.8MiB live, 166.4MiB allocated
Compiler: Compiled 230 to 86 computations (62.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (19.9%)

explain172.0ms (2.6%)

preprocess106.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify70.0ms (1.1%)

localize29.0ms (0.4%)

series8.0ms (0.1%)

simplify178.0ms (2.7%)

rewrite336.0ms (5.1%)

eval64.0ms (1%)

prune76.0ms (1.2%)

simplify67.0ms (1%)

localize100.0ms (1.5%)

series10.0ms (0.2%)

simplify170.0ms (2.6%)

rewrite359.0ms (5.4%)

eval138.0ms (2.1%)

prune281.0ms (4.3%)

simplify107.0ms (1.6%)

localize89.0ms (1.3%)

series11.0ms (0.2%)

simplify166.0ms (2.5%)

rewrite339.0ms (5.1%)

eval117.0ms (1.8%)

prune202.0ms (3.1%)

simplify122.0ms (1.8%)

localize61.0ms (0.9%)

series5.0ms (0.1%)

simplify170.0ms (2.6%)

rewrite571.0ms (8.6%)

eval58.0ms (0.9%)

prune43.0ms (0.6%)

regimes22.0ms (0.3%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

soundness927.0ms (14%)

preprocess48.0ms (0.7%)

end0.0ms (0%)

Profiling