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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample2.1s (23.7%)

Memory

35.2MiB live, 1 095.8MiB allocated

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 525.0ms

ival-mult: 409.0ms (77.9% of total)

ival-sub: 57.0ms (10.9% of total)

ival-add: 38.0ms (7.2% of total)

exact: 11.0ms (2.1% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess125.0ms (1.4%)

Memory

-0.4MiB live, 166.7MiB 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))

explain160.0ms (1.8%)

Memory

-22.3MiB live, 246.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(-6.213282611372703e+55)	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
256	-	256	(-6.213282611372703e+55)	`(.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)))`
256	-	256	(-6.213282611372703e+55)	`(*.f64 x #s(literal 3 binary64))`
256	-	256	(-6.213282611372703e+55)	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
255	-	255	(-6.213282611372703e+55)	`(*.f64 x #s(literal 4 binary64))`
140	-	140	(-8.420460164707333e-101)	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`x`

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

47.0ms

512×

valid

Compiler

Compiled 177 to 54 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 20.0ms (72.3% of total)

ival-add: 4.0ms (14.5% of total)

ival-sub: 2.0ms (7.2% of total)

exact: 1.0ms (3.6% 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

1.9MiB live, 1.9MiB 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)

simplify72.0ms (0.8%)

Memory

20.1MiB live, 102.8MiB 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)

localize29.0ms (0.3%)

Memory

-15.6MiB live, 58.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	11.2%	(.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)))
✓	accuracy	10.8%	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
✓	accuracy	3.9%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
✓	accuracy	3.9%	(*.f64 x #s(literal 3 binary64))

Samples

18.0ms

256×

valid

Compiler

Compiled 99 to 22 computations (77.8% saved)

Precisions

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

ival-mult: 6.0ms (66.3% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt (* -4 x)>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 6))>
#<alt (* (pow x 6) (- 3 (* 4 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (- 3 (* 4 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (- 3 (* 4 (/ 1 (pow x 5)))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 (pow x 2)) 12)))>
#<alt (+ 3 (* x (- (* 9 (pow x 2)) 12)))>
#<alt (* 9 (pow x 3))>
#<alt (* (pow x 3) (- 9 (* 12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))>
#<alt (* -9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 9 (* 12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 9 (* 12 (/ 1 (pow x 2)))) (/ 3 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- (+ 9 (* 12 (/ 1 (pow x 2)))) (/ 3 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* x (- (* 3 (pow x 2)) 4)))>
#<alt (+ 1 (* x (- (* 3 (pow x 2)) 4)))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 3 (/ 1 (pow x 3))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 3 (/ 1 (pow x 3))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* -3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 3 (* 4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 3 (* 4 (/ 1 (pow x 2)))) (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- (+ 3 (* 4 (/ 1 (pow x 2)))) (/ 1 (pow x 3)))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 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 (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

15 calls:

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

Compiler

Compiled 162 to 125 computations (22.8% saved)

rewrite359.0ms (4%)

Memory

4.9MiB live, 629.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 343

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -4 binary64)))
(+.f64 (.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64))))
(+.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)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 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))))) (/.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)))) (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 x #s(literal 4 binary64)))
(fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -4 binary64)))
(fma.f64 x #s(literal -4 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 x (/.f64 (.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))))))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 x #s(literal -4 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) x (.f64 x #s(literal -4 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 3 binary64)))) (.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))))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.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))))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (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)))))))
(fma.f64 #s(literal 4 binary64) (neg.f64 x) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 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)))))))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.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))))))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (/.f64 (.f64 x (.f64 x #s(literal 3 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)))))))
(fma.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 4 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.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)))))))
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(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal -1 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify313.0ms (3.5%)

Memory

-38.2MiB live, 368.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 310×	`lower-fma.f64`
9 310×	`lower-fma.f32`
2 526×	`lower-*.f64`
2 526×	`lower-*.f32`
1 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	406
1	171	406
2	553	394
3	1918	362
4	5563	362
0	8459	326

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

Inputs
(* -4 x)
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* 3 (pow x 3))
(* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))
(* 3 (pow x 6))
(* (pow x 6) (- 3 (* 4 (/ 1 (pow x 5)))))
(* (pow x 6) (- 3 (* 4 (/ 1 (pow x 5)))))
(* (pow x 6) (- 3 (* 4 (/ 1 (pow x 5)))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 (pow x 2)) 12)))
(+ 3 (* x (- (* 9 (pow x 2)) 12)))
(* 9 (pow x 3))
(* (pow x 3) (- 9 (* 12 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))
(* -9 (pow x 3))
(* -1 (* (pow x 3) (+ 9 (* 12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 9 (* 12 (/ 1 (pow x 2)))) (/ 3 (pow x 3)))))
(* -1 (* (pow x 3) (- (+ 9 (* 12 (/ 1 (pow x 2)))) (/ 3 (pow x 3)))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 (pow x 2)) 4)))
(+ 1 (* x (- (* 3 (pow x 2)) 4)))
(* 3 (pow x 3))
(* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 3 (/ 1 (pow x 3))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 3 (/ 1 (pow x 3))) (* 4 (/ 1 (pow x 2)))))
(* -3 (pow x 3))
(* -1 (* (pow x 3) (+ 3 (* 4 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 3 (* 4 (/ 1 (pow x 2)))) (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- (+ 3 (* 4 (/ 1 (pow x 2)))) (/ 1 (pow x 3)))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 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)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(* -4 x)
(*.f64 x #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)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 3 binary64))))
(* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* 3 (pow x 6))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 3 (* 4 (/ 1 (pow x 5)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 6) (- 3 (* 4 (/ 1 (pow x 5)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 5 binary64)))))
(* (pow x 6) (- 3 (* 4 (/ 1 (pow x 5)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 5 binary64)))))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 (pow x 2)) 12)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 (pow x 2)) 12)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 9 binary64)))
(* (pow x 3) (- 9 (* 12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(* -9 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -9 binary64)))
(* -1 (* (pow x 3) (+ 9 (* 12 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)))
(* -1 (* (pow x 3) (- (+ 9 (* 12 (/ 1 (pow x 2)))) (/ 3 (pow x 3)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (+ 9 (* 12 (/ 1 (pow x 2)))) (/ 3 (pow x 3)))))
(fma.f64 x (fma.f64 x (*.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 (pow x 2)) 4)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 (pow x 2)) 4)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 3 binary64))))
(* (pow x 3) (- 3 (* 4 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* (pow x 3) (- (+ 3 (/ 1 (pow x 3))) (* 4 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 3) (- (+ 3 (/ 1 (pow x 3))) (* 4 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(* -3 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -3 binary64)))
(* -1 (* (pow x 3) (+ 3 (* 4 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -3 binary64)) #s(literal -4 binary64)))
(* -1 (* (pow x 3) (- (+ 3 (* 4 (/ 1 (pow x 2)))) (/ 1 (pow x 3)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (+ 3 (* 4 (/ 1 (pow x 2)))) (/ 1 (pow x 3)))))
(fma.f64 x (fma.f64 x (*.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)))
(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 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))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval48.0ms (0.5%)

Memory: -7.4MiB live, 105.3MiB allocated
Compiler: Compiled 12 886 to 1 176 computations (90.9% saved)

prune56.0ms (0.6%)

Memory

19.7MiB live, 100.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	388	11	399
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	389	11	400

Accuracy

100.0%

Counts

400 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 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))
▶	99.9%	(fma.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
	52.3%	(fma.f64 x #s(literal -12 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))))
	99.9%	(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
	16.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
▶	16.7%	(.f64 x (.f64 (*.f64 x x) #s(literal 9 binary64)))
	15.9%	(.f64 x (.f64 (*.f64 x x) #s(literal -9 binary64)))
▶	52.3%	(*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))
▶	51.4%	#s(literal 3 binary64)

Compiler

Compiled 184 to 126 computations (31.5% saved)

simplify11.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 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	320	(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	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 9 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))

Rules

150×	`lower-fma.f32`
142×	`lower-fma.f64`
120×	`lower-*.f32`
108×	`lower-*.f64`
62×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	73
0	28	73
1	60	70
2	112	67
3	158	67
4	174	67
0	174	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize115.0ms (1.3%)

Memory

-23.0MiB live, 93.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
✓	accuracy	6.8%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	3.9%	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
✓	accuracy	4.3%	(*.f64 x x)
✓	accuracy	2.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 9 binary64)))
✓	accuracy	1.8%	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	accuracy	50.9%	(*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))
✓	accuracy	18.1%	(fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
✓	accuracy	2.4%	(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
✓	accuracy	1.2%	(fma.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))

Samples

49.0ms	238×	0	valid
45.0ms	11×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 158 to 35 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 41.0ms (85.8% of total)

ival-add: 5.0ms (10.5% of total)

adjust: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

10 → 120

Calls

Call 1

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

Outputs
#<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 -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 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 (* 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 (* 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 x>
#<alt x>
#<alt x>
#<alt x>
#<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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* x (* (+ (* x 3) -4) 3)) 3)
0.0ms	x	@	-inf	(* 3 (+ (* x -4) 1))
0.0ms	x	@	-inf	(* (+ (* x 3) -4) 3)
0.0ms	x	@	-inf	(* x (* (* x x) 9))
0.0ms	x	@	inf	(* (+ (* x 3) -4) 3)

Compiler

Compiled 245 to 191 computations (22% saved)

rewrite501.0ms (5.6%)

Memory

14.5MiB live, 567.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 940×	`lower-fma.f32`
8 932×	`lower-fma.f64`
4 730×	`lower-*.f32`
4 718×	`lower-*.f64`
2 506×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
0	28	56
1	112	53
2	611	50
3	6300	50
0	8054	46

Stop Event

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

Counts

10 → 521

Calls

Call 1

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

Outputs
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)) #s(literal -12 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -12 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -192 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -48 binary64))))
(/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -192 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64)))
(/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -48 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -192 binary64))) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -48 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64)))
(/.f64 (+.f64 #s(literal -1728 binary64) (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 144 binary64) (-.f64 (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 9 binary64))) (.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal -1728 binary64)) (fma.f64 (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 144 binary64) (.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(/.f64 (-.f64 #s(literal 144 binary64) (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal -12 binary64) (.f64 x #s(literal 9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 9 binary64))) #s(literal 144 binary64)) (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)))) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)))) (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 16 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64))) #s(literal 3 binary64)) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64))) #s(literal 3 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 16 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x #s(literal -3 binary64))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -192 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -48 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -192 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -48 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -192 binary64)) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64)) (.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64)) (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64)))))) (fma.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64)) (-.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64)) (.f64 x (.f64 x #s(literal 9 binary64)))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) #s(literal -192 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 16 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (.f64 x #s(literal -12 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (.f64 x #s(literal -12 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -48 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) #s(literal -48 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 27 binary64)) #s(literal 64 binary64))) (fma.f64 x (.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 16 binary64))))
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(+.f64 (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(+.f64 (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))))
(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 (/.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 #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 (.f64 (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)))))
(fma.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #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)))
(fma.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (/.f64 (.f64 x (.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 9 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (/.f64 (.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)))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -12 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.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 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))) (fma.f64 x (/.f64 (.f64 (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 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 9 binary64)) #s(literal 19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (.f64 (.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 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 729 binary64)) (.f64 (.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)))) #s(literal 27 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (.f64 (.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 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)))) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal -27 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (.f64 (.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 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (.f64 x (.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))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 81 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (.f64 x (.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))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.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)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 3 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 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64))))
(.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64)))))
(.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64))) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64)) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 (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))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))) (.f64 x (.f64 (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))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -9 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -9 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -9 binary64) #s(literal 9 binary64)))))) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (.f64 x (.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))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -9 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -9 binary64) #s(literal 9 binary64)) (.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 (/.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal 27 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)) #s(literal 9 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)))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -9 binary64) #s(literal 9 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)))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -9 binary64) #s(literal 9 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64)) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal -27 binary64))) (fma.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 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 9 binary64)) #s(literal 9 binary64))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify279.0ms (3.1%)

Memory

-0.3MiB live, 557.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 616×	`lower-fma.f64`
8 616×	`lower-fma.f32`
2 542×	`lower-*.f64`
2 542×	`lower-*.f32`
1 684×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	524
1	146	524
2	364	516
3	875	516
4	1644	516
5	3273	516
6	5194	516
7	6536	516
8	7771	516
0	8253	450

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 112

Calls

Call 1

Inputs
-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))))
-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)))))
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))))
(* 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)
(* 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)
x
x
x
x
(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)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

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

eval180.0ms (2%)

Memory: -4.5MiB live, 148.8MiB allocated
Compiler: Compiled 16 312 to 1 234 computations (92.4% saved)

prune70.0ms (0.8%)

Memory

-35.1MiB live, 143.5MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	705	6	711
Fresh	3	3	6
Picked	4	1	5
Done	0	0	0
Total	712	10	722

Accuracy

100.0%

Counts

722 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
▶	99.5%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	96.9%	(fma.f64 x (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
	99.9%	(fma.f64 x #s(literal -12 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
	52.3%	(fma.f64 x #s(literal -12 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))))
	50.6%	(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
▶	33.0%	(*.f64 x x)
▶	49.7%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	51.4%	#s(literal 3 binary64)

Compiler

Compiled 144 to 98 computations (31.9% saved)

simplify8.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

78×	`lower-fma.f32`
68×	`lower-fma.f64`
48×	`lower-*.f32`
40×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	67
0	27	61
1	48	61
2	58	61
3	64	61
4	66	61
0	66	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (0.6%)

Memory

2.6MiB live, 114.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	96.6%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	accuracy	2.3%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	accuracy	33.0%	(fma.f64 x (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
✓	accuracy	5.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	3.5%	(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	5.0%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	51.4%	(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
✓	accuracy	2.4%	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))

Samples

32.0ms	238×	0	valid
3.0ms	11×	2	valid
2.0ms	7×	1	valid

Compiler

Compiled 144 to 33 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (62.7% of total)

ival-add: 6.0ms (28.9% of total)

adjust: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

9 → 108

Calls

Call 1

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

Outputs
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 3))>
#<alt (* (pow x 3) (- 9 (* 12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))>
#<alt (* -9 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 9 (* 12 (/ 1 (pow x 6))))))>
#<alt (* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))>
#<alt (* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))>
#<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 x>
#<alt x>
#<alt x>
#<alt x>
#<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 (* 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 (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 3>
#<alt (+ 3 (* 9 (pow x 3)))>
#<alt (+ 3 (* 9 (pow x 3)))>
#<alt (+ 3 (* 9 (pow x 3)))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 (pow x 4)) 12)))>
#<alt (+ 3 (* x (- (* 9 (pow x 4)) 12)))>
#<alt (* 9 (pow x 4))>
#<alt (* (pow x 4) (- 9 (* 12 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (- (+ 9 (/ 3 (pow x 4))) (* 12 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (- (+ 9 (/ 3 (pow x 4))) (* 12 (/ 1 (pow x 3)))))>
#<alt (* -9 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 9 (* 12 (/ 1 (pow x 6))))))>
#<alt (* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))>
#<alt (* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* -12 x)>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>

Calls

27 calls:

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

Compiler

Compiled 213 to 178 computations (16.4% saved)

rewrite520.0ms (5.8%)

Memory

-16.5MiB live, 674.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 002×	`lower-fma.f32`
13 992×	`lower-fma.f64`
6 464×	`lower-*.f32`
6 456×	`lower-*.f64`
3 686×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
0	27	42
1	113	42
2	783	42
0	8490	42

Stop Event

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

Counts

9 → 393

Calls

Call 1

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

Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 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))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (.f64 (/.f64 (.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal 144 binary64)))))))
(.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal 144 binary64))))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 144 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -144 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64)))))

simplify237.0ms (2.6%)

Memory

23.4MiB live, 409.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 626×	`lower-fma.f64`
8 626×	`lower-fma.f32`
2 944×	`lower-*.f64`
2 944×	`lower-*.f32`
1 192×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	580
1	185	580
2	464	548
3	1146	536
4	2585	512
5	5408	506
0	8218	455

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 96

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 3))
(* (pow x 3) (- 9 (* 12 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))
(* -9 (pow x 7))
(* -1 (* (pow x 7) (+ 9 (* 12 (/ 1 (pow x 6))))))
(* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))
(* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))
-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)))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
3
(+ 3 (* 9 (pow x 3)))
(+ 3 (* 9 (pow x 3)))
(+ 3 (* 9 (pow x 3)))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 (pow x 4)) 12)))
(+ 3 (* x (- (* 9 (pow x 4)) 12)))
(* 9 (pow x 4))
(* (pow x 4) (- 9 (* 12 (/ 1 (pow x 3)))))
(* (pow x 4) (- (+ 9 (/ 3 (pow x 4))) (* 12 (/ 1 (pow x 3)))))
(* (pow x 4) (- (+ 9 (/ 3 (pow x 4))) (* 12 (/ 1 (pow x 3)))))
(* -9 (pow x 7))
(* -1 (* (pow x 7) (+ 9 (* 12 (/ 1 (pow x 6))))))
(* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))
(* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))

Outputs
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 3))
(.f64 x (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* (pow x 3) (- 9 (* 12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 3) (- (+ 9 (/ 3 (pow x 3))) (* 12 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(* -9 (pow x 7))
(*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 9 (* 12 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))
(* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 6 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))
x
x
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)
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
3
#s(literal 3 binary64)
(+ 3 (* 9 (pow x 3)))
(fma.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 3 binary64))
(+ 3 (* 9 (pow x 3)))
(fma.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 3 binary64))
(+ 3 (* 9 (pow x 3)))
(fma.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 3 binary64))
(* 9 (pow x 4))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 3 binary64))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 3 binary64))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 3 binary64))
(* 9 (pow x 4))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 3 binary64))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 3 binary64))
(* (pow x 4) (+ 9 (* 3 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 3 binary64))
(* 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)
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 (pow x 4)) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 (pow x 4)) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 4))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 9 (* 12 (/ 1 (pow x 3)))))
(fma.f64 #s(literal -12 binary64) x (.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 4) (- (+ 9 (/ 3 (pow x 4))) (* 12 (/ 1 (pow x 3)))))
(fma.f64 #s(literal -12 binary64) x (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 3 binary64)))
(* (pow x 4) (- (+ 9 (/ 3 (pow x 4))) (* 12 (/ 1 (pow x 3)))))
(fma.f64 #s(literal -12 binary64) x (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 3 binary64)))
(* -9 (pow x 7))
(*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 9 (* 12 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))
(* -1 (* (pow x 7) (- (+ 9 (* 12 (/ 1 (pow x 6)))) (/ 3 (pow x 7)))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))

eval152.0ms (1.7%)

Memory: -12.6MiB live, 120.3MiB allocated
Compiler: Compiled 12 938 to 864 computations (93.3% saved)

prune93.0ms (1%)

Memory

-31.7MiB live, 88.8MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	514	3	517
Fresh	0	4	4
Picked	1	4	5
Done	0	1	1
Total	515	12	527

Accuracy

100.0%

Counts

527 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x) #s(literal 3 binary64))
✓	99.9%	(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
✓	99.5%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	99.9%	(fma.f64 x #s(literal -12 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
▶	52.3%	(fma.f64 x #s(literal -12 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))))
▶	49.6%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
▶	49.7%	(.f64 (.f64 x #s(literal 9 binary64)) x)
▶	50.6%	(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
✓	33.0%	(*.f64 x x)
✓	49.7%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	51.4%	#s(literal 3 binary64)

Compiler

Compiled 160 to 113 computations (29.4% saved)

simplify9.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

78×	`lower-fma.f32`
70×	`lower-fma.f64`
48×	`lower-*.f32`
36×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
0	27	67
1	50	66
2	60	66
3	63	66
4	67	66
5	69	66
0	69	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.6%)

Memory

3.7MiB live, 119.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	5.3%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	accuracy	5.0%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
✓	accuracy	5.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	51.0%	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
✓	accuracy	4.0%	(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
✓	accuracy	5.0%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	accuracy	4.2%	(*.f64 x #s(literal 9 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
✓	accuracy	51.4%	(fma.f64 x #s(literal -12 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
✓	accuracy	11.1%	(fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))
✓	accuracy	4.2%	(*.f64 x #s(literal 9 binary64))

Samples

26.0ms	220×	0	valid
6.0ms	22×	2	valid
3.0ms	14×	1	valid

Compiler

Compiled 147 to 33 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 15.0ms (65.4% of total)

ival-add: 5.0ms (21.8% of total)

adjust: 2.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

Compiler

Compiled 223 to 185 computations (17% saved)

rewrite536.0ms (6%)

Memory

8.6MiB live, 524.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 868×	`lower-fma.f32`
10 860×	`lower-fma.f64`
5 338×	`lower-*.f32`
5 326×	`lower-*.f64`
3 566×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
0	27	50
1	97	49
2	626	49
0	8035	48

Stop Event

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

Counts

10 → 416

Calls

Call 1

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

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

simplify1.0s (11.5%)

Memory

3.4MiB live, 279.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 116×	`lower-fma.f64`
8 116×	`lower-fma.f32`
2 932×	`lower-*.f64`
2 932×	`lower-*.f32`
1 684×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	586
1	147	586
2	350	546
3	949	546
4	3039	534
5	6000	534
0	8140	483

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 112

Calls

Call 1

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

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

eval211.0ms (2.3%)

Memory: -3.8MiB live, 112.1MiB allocated
Compiler: Compiled 12 708 to 1 122 computations (91.2% saved)

prune128.0ms (1.4%)

Memory

-25.3MiB live, 105.6MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	539	1	540
Fresh	2	0	2
Picked	0	5	5
Done	0	5	5
Total	541	11	552

Accuracy

100.0%

Counts

552 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
✓	99.5%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	99.9%	(fma.f64 x #s(literal -12 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
✓	52.3%	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
	49.7%	(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
✓	49.6%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
✓	49.7%	(.f64 (.f64 x #s(literal 9 binary64)) x)
✓	50.6%	(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
✓	33.0%	(*.f64 x x)
✓	49.7%	(.f64 #s(literal 9 binary64) (.f64 x x))
✓	51.4%	#s(literal 3 binary64)

Compiler

Compiled 254 to 114 computations (55.1% saved)

regimes50.0ms (0.6%)

Memory

5.5MiB live, 45.0MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 x x)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal -9 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 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 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #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 x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(+.f64 (fma.f64 x #s(literal -12 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 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 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x) #s(literal 3 binary64))

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

Calls

4 calls:

30.0ms	(.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)))
6.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
6.0ms	x
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)

regimes12.0ms (0.1%)

Memory

-8.8MiB live, 30.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
2.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.8%	3	`x`
98.8%	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)))`
98.8%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.8%	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)

regimes7.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

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

2.0ms

(*.f64 #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
97.7%	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)))`
97.7%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.7%	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)

regimes29.0ms (0.3%)

Memory

-23.9MiB live, 16.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
97.7%	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)))`
97.7%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.7%	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

15.9MiB live, 15.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

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

Results

Accuracy	Segments	Branch
81.0%	3	`x`
81.0%	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)))`
81.0%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
81.0%	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)

regimes5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 3 binary64)
(*.f64 x x)

Outputs
#s(literal 3 binary64)
(*.f64 x x)

Calls

3 calls:

2.0ms

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

1.0ms

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

1.0ms

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

Results

Accuracy	Segments	Branch
80.2%	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)))`
80.2%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
80.2%	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)

regimes12.0ms (0.1%)

Memory

-30.3MiB live, 9.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)

Outputs
#s(literal 3 binary64)

Calls

4 calls:

8.0ms	x
1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
1.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
51.4%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
51.4%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00037222306984327106	13657788.87373889

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00037222306984327106	13657788.87373889

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00037222306984327106	13657788.87373889

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00037222306984327106	13657788.87373889

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00037222306984327106	13657788.87373889

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	107
1	37	107
2	49	107
3	55	107
4	59	107
5	60	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal 9 binary64)) x))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x x))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(literal 3 binary64) (.f64 x x))
#s(literal 3 binary64)

Outputs
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (*.f64 x #s(literal 9 binary64)) x))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x x))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 x x))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(literal 3 binary64) (.f64 x x))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(literal 3 binary64) (.f64 x x))
#s(literal 3 binary64)

soundness1.3s (14.3%)

Memory

10.0MiB live, 758.4MiB allocated

Rules

14 002×	`lower-fma.f32`
13 992×	`lower-fma.f64`
9 310×	`lower-fma.f64`
9 310×	`lower-fma.f32`
8 940×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	406
1	171	406
2	553	394
3	1918	362
4	5563	362
0	8459	326
0	10	41
0	16	41
1	61	35
2	451	35
3	7371	35
0	8608	30
0	15	56
0	28	56
1	112	53
2	611	50
3	6300	50
0	8054	46
0	13	48
0	27	42
1	113	42
2	783	42
0	8490	42
0	56	524
1	146	524
2	364	516
3	875	516
4	1644	516
5	3273	516
6	5194	516
7	6536	516
8	7771	516
0	8253	450

Stop Event

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

Compiler

Compiled 238 to 110 computations (53.8% saved)

preprocess57.0ms (0.6%)

Memory: -14.0MiB live, 140.1MiB allocated
Compiler: Compiled 268 to 88 computations (67.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample2.1s (23.7%)

preprocess125.0ms (1.4%)

explain160.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify72.0ms (0.8%)

localize29.0ms (0.3%)

series6.0ms (0.1%)

rewrite359.0ms (4%)

simplify313.0ms (3.5%)

eval48.0ms (0.5%)

prune56.0ms (0.6%)

simplify11.0ms (0.1%)

localize115.0ms (1.3%)

series8.0ms (0.1%)

rewrite501.0ms (5.6%)

simplify279.0ms (3.1%)

eval180.0ms (2%)

prune70.0ms (0.8%)

simplify8.0ms (0.1%)

localize56.0ms (0.6%)

series8.0ms (0.1%)

rewrite520.0ms (5.8%)

simplify237.0ms (2.6%)

eval152.0ms (1.7%)

prune93.0ms (1%)

simplify9.0ms (0.1%)

localize55.0ms (0.6%)

series8.0ms (0.1%)

rewrite536.0ms (6%)

simplify1.0s (11.5%)

eval211.0ms (2.3%)

prune128.0ms (1.4%)

regimes50.0ms (0.6%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes29.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.3s (14.3%)

preprocess57.0ms (0.6%)

end0.0ms (0%)

Profiling