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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample800.0ms (11.7%)

Memory

-20.2MiB live, 1 379.5MiB allocated

Samples

512.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

ival-mult: 234.0ms (71.1% of total)

ival-sub: 42.0ms (12.8% of total)

ival-add: 35.0ms (10.6% of total)

exact: 10.0ms (3% of total)

ival-true: 5.0ms (1.5% of total)

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

Bogosity

preprocess121.0ms (1.8%)

Memory

5.9MiB live, 127.7MiB 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))

explain148.0ms (2.2%)

Memory

5.3MiB live, 196.3MiB 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

34.0ms

512×

valid

Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 13.0ms (68.1% of total)

ival-sub: 2.0ms (10.5% of total)

ival-add: 2.0ms (10.5% of total)

exact: 1.0ms (5.2% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify78.0ms (1.1%)

Memory

20.2MiB live, 100.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.4%)

Memory

-16.3MiB live, 59.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

16.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 7.0ms (72.1% of total)

ival-sub: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

4 → 48

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)>

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))>

Calls

12 calls:

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

simplify198.0ms (2.9%)

Memory

9.3MiB live, 296.9MiB 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	308
1	137	308
2	323	308
3	753	308
4	1956	304
5	4214	304
6	5944	304
7	7664	304
0	8049	265

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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))

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)))

rewrite600.0ms (8.8%)

Memory

-9.2MiB live, 622.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	16	38
1	61	32
2	451	32
3	7371	32
0	8608	27

Stop Event

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

Counts

4 → 341

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)

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

eval47.0ms (0.7%)

Memory: 31.5MiB live, 105.3MiB allocated
Compiler: Compiled 12 713 to 1 132 computations (91.1% saved)

prune100.0ms (1.5%)

Memory

5.7MiB live, 121.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	379	10	389
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	380	10	390

Accuracy

100.0%

Counts

390 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(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%	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
	99.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
▶	55.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
	46.0%	(.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)))
	55.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	46.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
	46.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
▶	54.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 150 to 104 computations (30.7% saved)

simplify78.0ms (1.1%)

Memory

-27.7MiB live, 125.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 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 #s(literal 3 binary64))
✓	cost-diff	1088	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
✓	cost-diff	704	(.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	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	cost-diff	768	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

Rules

1 544×	`lower-fma.f32`
1 534×	`lower-fma.f64`
624×	`lower-*.f32`
616×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	116
0	39	126
1	84	88
2	153	87
3	219	87
4	309	87
5	412	87
6	625	87
7	968	87
8	1268	87
9	1341	87
10	1378	87
11	1384	87
12	1384	87
0	1384	86

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

localize86.0ms (1.3%)

Memory

7.1MiB live, 151.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
✓	accuracy	99.9%	(.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	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

Samples

50.0ms	234×	0	valid
3.0ms	8×	3	valid
3.0ms	11×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 30.0ms (73% of total)

ival-add: 7.0ms (17% of total)

adjust: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

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

series6.0ms (0.1%)

Memory

-25.1MiB live, 11.5MiB allocated

Counts

9 → 108

Calls

Call 1

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

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x x)
1.0ms	x	@	0	(+ (* (* x 3) (+ (* x 3) -4)) 3)
0.0ms	x	@	-inf	(* x 3)
0.0ms	x	@	inf	(* (* x x) 9)
0.0ms	x	@	inf	(+ (* x (+ (* x 9) -12)) 3)

simplify381.0ms (5.6%)

Memory

17.5MiB live, 409.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 412×	`lower-fma.f64`
9 412×	`lower-fma.f32`
2 624×	`lower-*.f64`
2 624×	`lower-*.f32`
1 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	552
1	134	552
2	331	540
3	784	540
4	1547	540
5	3473	540
6	5379	540
7	6708	540
8	7799	540
0	8236	468

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

rewrite478.0ms (7%)

Memory

15.6MiB live, 616.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 196×	`lower-fma.f32`
8 186×	`lower-fma.f64`
4 204×	`lower-*.f32`
4 196×	`lower-*.f64`
3 438×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
0	36	44
1	165	44
2	1316	44
0	8343	44

Stop Event

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

Counts

9 → 511

Calls

Call 1

Inputs
(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))
(.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))))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 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 #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 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(+.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))) (.f64 x #s(literal -12 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(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 (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))) (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))) (*.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 #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) (.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 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
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eval66.0ms (1%)

Memory: 11.8MiB live, 86.9MiB allocated
Compiler: Compiled 7 050 to 453 computations (93.6% saved)

prune60.0ms (0.9%)

Memory

-10.9MiB live, 120.8MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	328	6	334
Fresh	3	2	5
Picked	1	4	5
Done	0	0	0
Total	332	12	344

Accuracy

100.0%

Counts

344 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
	96.4%	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
	55.9%	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 3 binary64))
▶	99.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
✓	55.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
▶	46.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
▶	55.9%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	46.2%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
	46.0%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x (.f64 x #s(literal 9 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)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	54.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 151 to 100 computations (33.8% saved)

simplify98.0ms (1.4%)

Memory

-4.9MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 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 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	128	(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
✓	cost-diff	1664	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	cost-diff	576	(.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	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)
✓	cost-diff	704	(fma.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))

Rules

1 560×	`lower-fma.f32`
1 550×	`lower-fma.f64`
640×	`lower-*.f32`
638×	`div-sub`
630×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	131
0	47	127
1	104	114
2	167	114
3	228	114
4	318	114
5	422	114
6	637	114
7	984	114
8	1282	114
9	1362	114
10	1444	114
11	1715	114
12	2475	114
13	2621	114
0	2621	109

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize239.0ms (3.5%)

Memory

-8.8MiB live, 185.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
✓	accuracy	99.7%	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
✓	accuracy	99.9%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)
✓	accuracy	99.9%	(fma.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))

Samples

35.0ms	213×	0	valid
32.0ms	20×	1	valid
10.0ms	23×	2	valid

Compiler

Compiled 149 to 31 computations (79.2% saved)

Precisions

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

ival-add: 34.0ms (55.5% of total)

ival-mult: 19.0ms (31% of total)

ival-div: 4.0ms (6.5% of total)

adjust: 3.0ms (4.9% of total)

exact: 1.0ms (1.6% of total)

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

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

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

series4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))>
#<alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)>
#<alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))>
#<alt (fma.f64 #s(literal -12 binary64) x #s(literal 3 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 (.f64 x (.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))>
#<alt (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 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 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* -12 x)>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt 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 (* x (+ 4 (* 13 x))))>
#<alt (+ 1 (* x (+ 4 (* x (+ 13 (* 40 x))))))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (+ (* 4/9 (/ 1 x)) (* 40/81 (/ 1 (pow x 3)))))) (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 1/3 (* -1 (/ (- (* -1 (/ (+ 13/27 (* 40/81 (/ 1 x))) x)) 4/9) x))) (pow x 2))>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ 1 (+ (* x (+ (* x 3) -4)) 1))
0.0ms	x	@	inf	(/ 1 (+ (* x (+ (* x 3) -4)) 1))
0.0ms	x	@	inf	(* x (+ (* x 9) -12))
0.0ms	x	@	-inf	(* x (+ (* x 9) -12))
0.0ms	x	@	0	(* x (+ (* x 9) -12))

simplify552.0ms (8.1%)

Memory

-22.9MiB live, 345.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 170×	`lower-fma.f64`
7 170×	`lower-fma.f32`
2 702×	`lower-*.f64`
2 702×	`lower-*.f32`
1 600×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	898
1	275	898
2	654	898
3	1469	868
4	3372	868
5	5950	860
0	8285	749

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 3 (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)
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 (* x (+ 4 (* 13 x))))
(+ 1 (* x (+ 4 (* x (+ 13 (* 40 x))))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (+ (* 4/9 (/ 1 x)) (* 40/81 (/ 1 (pow x 3)))))) (pow x 2))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))
(/ (+ 1/3 (* -1 (/ (- (* -1 (/ (+ 13/27 (* 40/81 (/ 1 x))) x)) 4/9) x))) (pow x 2))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 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 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -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))
(* 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)
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))
1
#s(literal 1 binary64)
(+ 1 (* 4 x))
(fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 4 (* 13 x))))
(fma.f64 x (fma.f64 x #s(literal 13 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 4 (* x (+ 13 (* 40 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 40 binary64) #s(literal 13 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/9 binary64) x)) (*.f64 x x))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 4/9 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 13/27 binary64) (.f64 x x)))) (.f64 x x))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (+ (* 4/9 (/ 1 x)) (* 40/81 (/ 1 (pow x 3)))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (/.f64 (+.f64 #s(literal 13/27 binary64) (/.f64 #s(literal 40/81 binary64) x)) x)) x)) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/9 binary64) x)) (*.f64 x x))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 4/9 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 13/27 binary64) (.f64 x x)))) (.f64 x x))
(/ (+ 1/3 (* -1 (/ (- (* -1 (/ (+ 13/27 (* 40/81 (/ 1 x))) x)) 4/9) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (/.f64 (+.f64 #s(literal 13/27 binary64) (/.f64 #s(literal 40/81 binary64) x)) x)) x)) (*.f64 x x))

rewrite430.0ms (6.3%)

Memory

27.5MiB live, 631.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 128×	`lower-fma.f32`
7 118×	`lower-fma.f64`
4 022×	`lower-*.f32`
4 012×	`lower-*.f64`
3 558×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	81
0	42	79
1	193	72
2	1353	72
0	8268	69

Stop Event

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

Counts

12 → 691

Calls

Call 1

Inputs
(fma.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 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)))))
(.f64 x (.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) (/.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 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)))

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 (.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)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #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))) (/.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 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
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(exp.f64 (.f64 (log.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))))
(-.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))) (/.f64 (.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))) (.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 (.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))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))) (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))) #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)) (.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))) (.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 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.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)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (neg.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 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (neg.f64 x) #s(literal 1 binary64))))
(pow.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x)))))
(.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)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) (/.f64 #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 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))))
(.f64 (pow.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #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 (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 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
(.f64 (/.f64 #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))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.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 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) (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 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 #s(literal 3 binary64) (.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval86.0ms (1.3%)

Memory: -19.2MiB live, 166.5MiB allocated
Compiler: Compiled 16 471 to 1 342 computations (91.9% saved)

prune55.0ms (0.8%)

Memory

22.9MiB live, 142.0MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	646	2	648
Fresh	1	2	3
Picked	1	4	5
Done	0	4	4
Total	648	12	660

Accuracy

100.0%

Counts

660 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
▶	96.4%	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
▶	55.9%	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 3 binary64))
▶	46.0%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (+ (* x (+ (* x 3) -4)) 1)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	55.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
✓	46.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
▶	46.0%	#s(approx (/ 3 (/ 1 (+ (* x (+ (* x 3) -4)) 1))) (.f64 x (.f64 x #s(literal 9 binary64))))
✓	55.9%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	46.2%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	46.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	54.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 83 to 57 computations (31.3% saved)

simplify13.0ms (0.2%)

Memory

-10.1MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	64	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	64	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
✓	cost-diff	1088	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (+ (* x (+ (* x 3) -4)) 1)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 9 binary64)))

Rules

150×	`lower-fma.f32`
148×	`lower-fma.f64`
84×	`lower-*.f32`
76×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	99
0	33	97
1	61	93
2	119	89
3	150	89
4	150	89
0	150	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (1.1%)

Memory

-11.3MiB live, 106.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (+ (* x (+ (* x 3) -4)) 1)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	accuracy	98.9%	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 9 binary64)))

Samples

33.0ms	241×	0	valid
4.0ms	7×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 103 to 20 computations (80.6% saved)

Precisions

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

ival-mult: 9.0ms (41.5% of total)

ival-div: 5.0ms (23.1% of total)

ival-add: 3.0ms (13.8% of total)

const: 3.0ms (13.8% of total)

adjust: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ 1/3 (* x x))
0.0ms	x	@	0	(/ 1/3 (* x x))
0.0ms	x	@	-inf	(* x 9)
0.0ms	x	@	inf	(* x 9)
0.0ms	x	@	0	(* x 9)

simplify238.0ms (3.5%)

Memory

37.7MiB live, 392.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 444×	`lower-fma.f64`
4 444×	`lower-fma.f32`
3 446×	`lower-*.f64`
3 446×	`lower-*.f32`
1 288×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	492
1	82	492
2	184	492
3	429	492
4	1173	480
5	2766	480
6	4261	480
7	5639	480
8	6369	480
9	7031	480
10	7591	480
0	8040	435

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite514.0ms (7.5%)

Memory

-21.7MiB live, 549.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 406×	`lower-fma.f32`
9 404×	`lower-fma.f64`
5 200×	`lower-*.f32`
5 192×	`lower-*.f64`
3 336×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
0	32	52
1	123	49
2	753	46
3	7817	46
0	8575	40

Stop Event

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

Counts

8 → 624

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal -1/3 binary64))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
(.f64 #s(literal 3 binary64) (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))))
(+.f64 #s(literal 3 binary64) (.f64 #s(literal -3 binary64) (neg.f64 (.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64))))))
(+.f64 #s(literal 3 binary64) (.f64 (neg.f64 (.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))) #s(literal -3 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ (* x 3) -4) #s(literal -4 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))) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(+.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))) (fma.f64 #s(literal 3 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal -3 binary64)))))
(+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64)))
(+.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal -12 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) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -12 binary64))))
(+.f64 (.f64 #s(literal -3 binary64) (neg.f64 (.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64))))) #s(literal 3 binary64))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal -12 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 (.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))) #s(literal -3 binary64)) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) (*.f64 x #s(literal -3 binary64)) #s(literal -3 binary64)))
(-.f64 (/.f64 (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))) (fma.f64 #s(literal 3 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64))) #s(literal -3 binary64)))) (/.f64 (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64))) #s(literal -3 binary64)))))
(fma.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal 3 binary64))
(fma.f64 x #s(literal -12 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 x (*.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 (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)))) (fma.f64 #s(literal 3 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 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) (.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))) #s(literal 27 binary64)) (fma.f64 (fma.f64 (neg.f64 x) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)) #s(literal 9 binary64)) (.f64 (fma.f64 (neg.f64 x) (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)) #s(literal 9 binary64)) (fma.f64 (neg.f64 x) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)) #s(literal 9 binary64))) (.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))))))) (fma.f64 (fma.f64 (neg.f64 x) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 (neg.f64 x) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)) #s(literal 9 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 x #s(literal 9 binary64)))))) (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64))) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))) #s(literal 27 binary64)) (.f64 (fma.f64 (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ ( x 3) -4) #s(literal -4 binary64)))) (fma.f64 #s(literal 3 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal -3 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)))) #s(literal -9 binary64)) (.f64 x (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)))))) (+.f64 (fma.f64 x (.f64 x (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)))) #s(literal -9 binary64)) (.f64 x (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)))) #s(literal -9 binary64)) (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))) #s(literal -27 binary64))) (fma.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)))) (fma.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 9 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64))))))) #s(literal 3 binary64)) (fma.f64 (.f64 x (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64))))))) (.f64 x (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64)))))))) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64)))) (.f64 x (.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64)))))) (.f64 (.f64 x (.f64 x (.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64))))) (.f64 x (.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64))))))))
(.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) (.f64 x (.f64 x (.f64 #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(approx (+ (* x 3) -4) #s(literal -4 binary64))))))) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64))) (fma.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64)))))) (fma.f64 (fma.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal -1 binary64))) (fma.f64 x #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) (.f64 (.f64 x (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64)))) (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64)))) #s(literal -1 binary64))) (fma.f64 #s(approx (+ (* x 3) -4) #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(approx (+ ( x 3) -4) #s(literal -4 binary64))) x) #s(literal 1 binary64)))

eval176.0ms (2.6%)

Memory: 12.5MiB live, 123.8MiB allocated
Compiler: Compiled 13 424 to 507 computations (96.2% saved)

prune114.0ms (1.7%)

Memory

-30.2MiB live, 88.9MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	624	1	625
Fresh	0	0	0
Picked	1	3	4
Done	0	8	8
Total	625	12	637

Accuracy

100.0%

Counts

637 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(fma.f64 (/.f64 x #s(literal 1/3 binary64)) #s(approx (+ (* x 3) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
✓	99.8%	(fma.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
✓	96.4%	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
✓	55.9%	(fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( x 3) -4) #s(literal -4 binary64)) #s(literal 3 binary64))
✓	55.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
✓	46.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
✓	46.0%	#s(approx (/ 3 (/ 1 (+ (* x (+ (* x 3) -4)) 1))) (.f64 x (.f64 x #s(literal 9 binary64))))
✓	55.9%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	46.2%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	46.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	54.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 221 to 99 computations (55.2% saved)

regimes24.0ms (0.4%)

Memory

18.0MiB live, 56.8MiB allocated

Counts

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

7.0ms	x
6.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
5.0ms	(.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	(+.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)

regimes16.0ms (0.2%)

Memory

-10.3MiB live, 33.2MiB allocated

Counts

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

5.0ms	(.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)))
4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
4.0ms	x
3.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.2%	3	`x`
98.2%	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)))`
98.2%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.2%	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)

regimes9.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB 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)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x (.f64 x #s(literal 9 binary64))))
#s(approx (/ 3 (/ 1 (+ (* x (+ (* x 3) -4)) 1))) (.f64 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))))
#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))

Outputs

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.2%	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)))`
98.2%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.2%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory

-21.1MiB live, 17.8MiB 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)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x (.f64 x #s(literal 9 binary64))))
#s(approx (/ 3 (/ 1 (+ (* x (+ (* x 3) -4)) 1))) (.f64 x (.f64 x #s(literal 9 binary64))))

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

Calls

3 calls:

3.0ms

(+.f64 (-.f64 (*.f64 (*.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
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)

regimes7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.9%	1	`x`
55.9%	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)))`
55.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
55.9%	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)

regimes6.0ms (0.1%)

Memory

-24.5MiB live, 14.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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)))
1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms	x
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
54.8%	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)))`
54.8%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
54.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
54.8%	1	`x`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.044194661696563775	3156.720503565951

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.044194661696563775	3156.720503565951

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.044194661696563775	3156.720503565951

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-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	50	203
2	61	203
3	67	203
4	71	203
5	72	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 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))

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 x) #s(literal 9 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 #s(literal 9 binary64) (.f64 x 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))

soundness808.0ms (11.8%)

Memory

-2.9MiB live, 280.0MiB allocated

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	308
1	137	308
2	323	308
3	753	308
4	1956	304
5	4214	304
6	5944	304
7	7664	304
0	8049	265

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 125 to 59 computations (52.8% saved)

preprocess55.0ms (0.8%)

Memory: -10.7MiB live, 146.7MiB allocated
Compiler: Compiled 212 to 86 computations (59.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample800.0ms (11.7%)

preprocess121.0ms (1.8%)

explain148.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify78.0ms (1.1%)

localize30.0ms (0.4%)

series3.0ms (0%)

simplify198.0ms (2.9%)

rewrite600.0ms (8.8%)

eval47.0ms (0.7%)

prune100.0ms (1.5%)

simplify78.0ms (1.1%)

localize86.0ms (1.3%)

series6.0ms (0.1%)

simplify381.0ms (5.6%)

rewrite478.0ms (7%)

eval66.0ms (1%)

prune60.0ms (0.9%)

simplify98.0ms (1.4%)

localize239.0ms (3.5%)

series4.0ms (0.1%)

simplify552.0ms (8.1%)

rewrite430.0ms (6.3%)

eval86.0ms (1.3%)

prune55.0ms (0.8%)

simplify13.0ms (0.2%)

localize77.0ms (1.1%)

series3.0ms (0.1%)

simplify238.0ms (3.5%)

rewrite514.0ms (7.5%)

eval176.0ms (2.6%)

prune114.0ms (1.7%)

regimes24.0ms (0.4%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness808.0ms (11.8%)

preprocess55.0ms (0.8%)

end0.0ms (0%)

Profiling