Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 11 to 10 computations (9.1% saved)

sample951.0ms (12.7%)

Memory

11.1MiB live, 1 403.1MiB allocated

Samples

712.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 516.0ms

const: 207.0ms (40.1% of total)

ival-mult: 203.0ms (39.4% of total)

ival-add: 56.0ms (10.9% of total)

ival-sub: 36.0ms (7% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

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

Bogosity

preprocess55.0ms (0.7%)

Memory

7.5MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Rules

584×	`lower-fma.f64`
584×	`lower-fma.f32`
248×	`lower-*.f32`
244×	`lower-*.f64`
136×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Outputs

(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))

(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))

explain111.0ms (1.5%)

Memory

17.3MiB live, 175.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))`
-	-	`#s(literal 3/25 binary64)`
-	-	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 x #s(literal 3/25 binary64))`
-	-	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
-	-	`#s(literal 253/1000 binary64)`
-	-	`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

45.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

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

const: 16.0ms (57.9% of total)

ival-mult: 6.0ms (21.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB 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 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify27.0ms (0.4%)

Memory

3.1MiB live, 41.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
✓	cost-diff	128	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Rules

584×	`lower-fma.f64`
584×	`lower-fma.f32`
248×	`lower-*.f32`
244×	`lower-*.f64`
136×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)

Outputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)

localize33.0ms (0.4%)

Memory

-11.8MiB live, 69.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.7%	(*.f64 x #s(literal 3/25 binary64))

Samples

22.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (38.7% of total)

const: 6.0ms (38.7% of total)

ival-sub: 2.0ms (12.9% of total)

ival-add: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))>
#<alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))>
#<alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))>
#<alt (*.f64 x #s(literal 3/25 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	inf	(+ 253/1000 (* x 3/25))
0.0ms	x	@	0	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	-inf	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	-inf	(* x 3/25)

rewrite354.0ms (4.7%)

Memory

-17.1MiB live, 482.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 504×	`lower-fma.f64`
4 504×	`lower-fma.f32`
4 210×	`lower-*.f32`
4 206×	`lower-*.f64`
2 686×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	55	24
2	428	24
3	4320	24
0	8270	20

Stop Event

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

Counts

4 → 317

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(*.f64 x #s(literal 3/25 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 253/1000 binary64)) (fma.f64 x (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal -253/1000 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 3/25 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal 3/25 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64))) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64)) (fma.f64 x (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))))
(fma.f64 x #s(literal 253/1000 binary64) (fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 253/1000 binary64) x (fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 253/1000 binary64) (neg.f64 x) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (*.f64 x x) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (neg.f64 (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (*.f64 x (neg.f64 x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 3/25 binary64)) x (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 3/25 binary64)) (neg.f64 x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
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(pow.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 64009/1000000 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x)
(.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (/.f64 x (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64009/1000000 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64)))))))
(.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 262254607552729/1000000000000000000 binary64))) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (-.f64 (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) #s(literal 64009/1000000 binary64)) #s(literal 4097152081/1000000000000 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (exp.f64 (log.f64 x)))
(exp.f64 (log.f64 (*.f64 x #s(literal 3/25 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/25 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/25 binary64))) (exp.f64 (log.f64 x)))

simplify314.0ms (4.2%)

Memory

-14.7MiB live, 258.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 044×	`lower-fma.f64`
5 044×	`lower-fma.f32`
3 798×	`lower-*.f64`
3 798×	`lower-*.f32`
1 542×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	254
1	93	254
2	217	248
3	501	248
4	1016	248
5	2377	248
6	4088	248
7	5191	248
8	6484	248
9	7517	248
0	8007	215

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))

eval45.0ms (0.6%)

Memory: 5.9MiB live, 87.9MiB allocated
Compiler: Compiled 8 907 to 928 computations (89.6% saved)

prune48.0ms (0.6%)

Memory

-6.6MiB live, 118.9MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	355	10	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	355	11	366

Accuracy

100.0%

Counts

366 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.6%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
	53.9%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
	63.5%	(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 x x)) (.f64 #s(literal 64009/1000000 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))))
	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
	99.6%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
✓	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
	49.0%	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
▶	48.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	51.7%	#s(literal 1 binary64)

Compiler

Compiled 228 to 162 computations (28.9% saved)

simplify177.0ms (2.4%)

Memory

23.7MiB live, 140.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
✓	cost-diff	0	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -3/25 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Rules

2 552×	`lower-fma.f32`
2 540×	`lower-fma.f64`
1 240×	`lower-*.f32`
1 230×	`lower-*.f64`
526×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	38	102
1	65	102
2	98	102
3	156	102
4	285	102
5	448	102
6	872	102
7	1602	102
8	2742	102
9	3256	102
10	3558	102
11	3707	102
12	3727	102
13	3728	102
14	3728	102
15	3753	102
16	3755	102
17	3755	102
18	3761	102
0	3761	101

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
x
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal -3/25 binary64)))
x
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
#s(literal 1 binary64)
(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)

Outputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
x
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
x
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)

localize106.0ms (1.4%)

Memory

-9.8MiB live, 108.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
✓	accuracy	99.8%	(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 9/625 binary64))
✓	accuracy	76.9%	(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	accuracy	99.6%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	99.9%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))

Samples

74.0ms

256×

valid

Compiler

Compiled 106 to 27 computations (74.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

const: 17.0ms (35% of total)

ival-mult: 14.0ms (28.8% of total)

ival-div: 10.0ms (20.6% of total)

ival-add: 6.0ms (12.4% of total)

ival-sub: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-22.0MiB live, 15.2MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))>
#<alt (.f64 x (.f64 x #s(literal -3/25 binary64)))>
#<alt (*.f64 x #s(literal -3/25 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))>
#<alt (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))>
#<alt (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))>
#<alt (*.f64 x #s(literal 9/625 binary64))>
#<alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (* -253/1000 x)>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* -253/1000 x)>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (* 3/25 x)>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))
1.0ms	x	@	0	(* x (* x -3/25))
0.0ms	x	@	inf	(- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000))))
0.0ms	x	@	inf	(* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))
0.0ms	x	@	-inf	(- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000))))

rewrite437.0ms (5.9%)

Memory

33.1MiB live, 662.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 632×	`lower-fma.f32`
8 620×	`lower-fma.f64`
3 802×	`lower-/.f32`
3 800×	`lower-/.f64`
3 572×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	87
0	38	77
1	157	65
2	1283	65
0	8824	63

Stop Event

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

Counts

13 → 968

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(*.f64 x #s(literal -3/25 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(+.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal -253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal -1 binary64))))))
(+.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) (.f64 x #s(literal 759/25000 binary64))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))))
(/.f64 (-.f64 #s(literal -16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) (*.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) (*.f64 x #s(literal 759/25000 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -9/625 binary64) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal -64009/1000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal 576081/625000000 binary64)))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal 576081/625000000 binary64)))) (+.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64)))))

simplify261.0ms (3.5%)

Memory

-17.3MiB live, 343.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 614×	`lower-fma.f64`
5 614×	`lower-fma.f32`
3 134×	`lower-*.f64`
3 134×	`lower-*.f32`
1 440×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	796
1	146	790
2	372	778
3	792	778
4	1456	778
5	3177	778
6	5022	778
7	6274	778
8	7596	778
0	8021	679

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(* -253/1000 x)
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* -253/1000 x)
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
-253/1000
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(* 3/25 x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))

eval203.0ms (2.7%)

Memory: 24.0MiB live, 333.1MiB allocated
Compiler: Compiled 29 762 to 2 113 computations (92.9% saved)

prune79.0ms (1.1%)

Memory

-13.9MiB live, 186.6MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 117	7	1 124
Fresh	3	2	5
Picked	2	3	5
Done	1	0	1
Total	1 123	12	1 135

Accuracy

100.0%

Counts

1 135 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.8%	(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
▶	99.9%	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
	99.8%	(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
▶	48.8%	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
▶	53.9%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
	63.5%	(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 #s(literal -64009/1000000 binary64) (.f64 x x))) (neg.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) (*.f64 x #s(literal 253/1000 binary64))))))
	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
	48.0%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
▶	49.0%	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓	48.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	51.7%	#s(literal 1 binary64)

Compiler

Compiled 226 to 158 computations (30.1% saved)

simplify202.0ms (2.7%)

Memory

3.2MiB live, 137.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 9/625 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -253/1000 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))

Rules

2 328×	`lower-fma.f32`
2 312×	`lower-fma.f64`
1 208×	`lower-*.f32`
1 200×	`lower-*.f64`
642×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	124
0	44	123
1	84	123
2	151	123
3	369	120
4	786	120
5	1327	120
6	2313	120
7	3104	120
8	3437	120
9	3503	120
10	3532	120
11	3548	120
12	3734	120
13	3835	120
14	3837	120
15	3837	120
16	3837	120
17	3843	120
0	3843	120

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(neg.f64 x)
x
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
#s(literal 1 binary64)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
x
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(*.f64 x #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)

Outputs
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(neg.f64 x)
x
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
#s(literal 1 binary64)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
x
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(*.f64 x #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)

localize149.0ms (2%)

Memory

-9.8MiB live, 143.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 9/625 binary64))
✓	accuracy	76.9%	(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(*.f64 x #s(literal -253/1000 binary64))
✓	accuracy	99.6%	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓	accuracy	99.8%	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 9/625 binary64))
✓	accuracy	99.7%	(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))

Samples

91.0ms

256×

valid

Compiler

Compiled 126 to 31 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 37.0ms (52.5% of total)

const: 20.0ms (28.4% of total)

ival-add: 8.0ms (11.3% of total)

ival-div: 3.0ms (4.3% of total)

ival-neg: 1.0ms (1.4% 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

4.8MiB live, 4.8MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))>
#<alt (neg.f64 x)>
#<alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))>
#<alt (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))>
#<alt (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))>
#<alt (fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal -253/1000 binary64))>
#<alt (fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))>
#<alt (*.f64 x #s(literal 9/625 binary64))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))>

Outputs
#<alt (* 1000/253 x)>
#<alt (* x (+ 1000/253 (* 120000/64009 x)))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (* 3/25 x)>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (* -253/1000 x)>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* -253/1000 x)>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt 253/1000>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (* -3/25 x)>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1)
0.0ms	x	@	inf	(* x -253/1000)
0.0ms	x	@	0	(+ (* (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1)
0.0ms	x	@	-inf	(* x -253/1000)
0.0ms	x	@	0	(/ (neg x) (+ (* x 3/25) -253/1000))

rewrite361.0ms (4.8%)

Memory

7.7MiB live, 516.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 256×	`lower-fma.f32`
5 240×	`lower-fma.f64`
5 050×	`lower-/.f32`
5 046×	`lower-/.f64`
3 966×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
0	44	85
1	191	73
2	1576	73
0	8239	71

Stop Event

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

Counts

15 → 678

Calls

Call 1

Inputs
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(neg.f64 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
(*.f64 x x)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))

Outputs
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 x (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 x (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))))
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) x))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) x)) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) x)) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))))
(pow.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) x)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(.f64 (/.f64 (neg.f64 x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))
(.f64 (/.f64 (neg.f64 x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))))
(.f64 (/.f64 (neg.f64 x) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(.f64 (/.f64 (neg.f64 x) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))))
(.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 (*.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (neg.f64 (.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal 9/625 binary64))))) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (.f64 x (.f64 x #s(literal 9/625 binary64)))))) (.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (/.f64 (.f64 (.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))
(fma.f64 x (.f64 (.f64 x #s(literal 9/625 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal 9/625 binary64)))) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (.f64 x (.f64 x #s(literal 9/625 binary64))) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal 9/625 binary64)) (.f64 x (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (.f64 (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 9/625 binary64) (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 (.f64 #s(literal 3/25 binary64) (.f64 x #s(literal 3/25 binary64))) (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 (.f64 #s(literal -3/25 binary64) (.f64 x #s(literal -3/25 binary64))) (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (neg.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (neg.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))

simplify281.0ms (3.8%)

Memory

45.6MiB live, 467.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 706×	`lower-fma.f64`
7 706×	`lower-fma.f32`
3 162×	`lower-*.f64`
3 162×	`lower-*.f32`
2 018×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	954
1	273	930
2	672	882
3	1396	882
4	2541	878
5	5736	878
0	8367	770

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-253/1000
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(* 3/25 x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(* -253/1000 x)
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* -253/1000 x)
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))

Outputs
(* 1000/253 x)
(*.f64 #s(literal 1000/253 binary64) x)
(* x (+ 1000/253 (* 120000/64009 x)))
(*.f64 x (fma.f64 x #s(literal 120000/64009 binary64) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 14400000/16194277 binary64) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1728000000/4097152081 binary64) #s(literal 14400000/16194277 binary64)) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x)) x))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(+.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
-253/1000
#s(literal -253/1000 binary64)
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))

eval126.0ms (1.7%)

Memory: -3.6MiB live, 312.2MiB allocated
Compiler: Compiled 20 214 to 1 736 computations (91.4% saved)

prune128.0ms (1.7%)

Memory

10.2MiB live, 246.3MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	921	6	927
Fresh	3	1	4
Picked	2	3	5
Done	0	3	3
Total	926	13	939

Accuracy

100.0%

Counts

939 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	57.4%	(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (.f64 x #s(literal -3/25 binary64))) x #s(literal 1 binary64))
▶	99.8%	(fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
	99.8%	(fma.f64 (.f64 (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) x) (.f64 x #s(literal 9/625 binary64)) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
✓	48.8%	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
✓	53.9%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
▶	57.4%	(fma.f64 #s(literal -25/3 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
▶	49.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
▶	48.0%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	49.0%	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓	48.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	3.9%	(*.f64 x #s(literal -253/1000 binary64))
✓	51.7%	#s(literal 1 binary64)

Compiler

Compiled 187 to 131 computations (29.9% saved)

simplify10.0ms (0.1%)

Memory

-16.9MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 9/625 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓	cost-diff	384	(fma.f64 #s(literal -25/3 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -253/1000 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -3/25 binary64))
✓	cost-diff	0	(fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))

Rules

140×	`lower-fma.f32`
132×	`lower-fma.f64`
74×	`lower-*.f32`
64×	`lower-*.f64`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
0	35	78
1	63	74
2	93	74
3	140	74
4	149	74
0	149	73

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(*.f64 x #s(literal -3/25 binary64))
x
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
x
#s(literal -253/1000 binary64)
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 #s(literal -25/3 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
#s(literal -25/3 binary64)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
#s(literal 1 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)

Outputs
(fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(*.f64 x #s(literal -3/25 binary64))
x
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
x
#s(literal -253/1000 binary64)
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 #s(literal -25/3 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
#s(literal -25/3 binary64)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
#s(literal 1 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)

localize187.0ms (2.5%)

Memory

17.6MiB live, 135.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓	accuracy	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓	accuracy	99.8%	(fma.f64 #s(literal -25/3 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 9/625 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal -253/1000 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
✓	accuracy	99.9%	(fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal -3/25 binary64))

Samples

161.0ms

256×

valid

Compiler

Compiled 82 to 25 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

const: 18.0ms (46.2% of total)

ival-mult: 12.0ms (30.8% of total)

ival-add: 4.0ms (10.3% of total)

ival-div: 3.0ms (7.7% of total)

ival-sub: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))>
#<alt (fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal -3/25 binary64))>
#<alt (*.f64 x #s(literal -253/1000 binary64))>
#<alt (.f64 (.f64 x x) #s(literal -3/25 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 #s(literal -25/3 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))>
#<alt (*.f64 x #s(literal 9/625 binary64))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))>

Outputs
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 184009/120000>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (+ 184009/120000 (* -3/25 (pow x 2)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt (* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -1000/253>
#<alt (- (* 120000/64009 x) 1000/253)>
#<alt (- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)>
#<alt (- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)>
#<alt (/ -25/3 x)>
#<alt (/ (- (* 1265/72 (/ 1 x)) 25/3) x)>
#<alt (/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)>
#<alt (/ -25/3 x)>
#<alt (* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ 1 (+ (* x -3/25) -253/1000))
0.0ms	x	@	inf	(+ (* -25/3 (+ (* x (* x 9/625)) -64009/1000000)) 1)
0.0ms	x	@	0	(+ (* -25/3 (+ (* x (* x 9/625)) -64009/1000000)) 1)
0.0ms	x	@	0	(/ 1 (+ (* x -3/25) -253/1000))
0.0ms	x	@	-inf	(/ 1 (+ (* x -3/25) -253/1000))

rewrite397.0ms (5.3%)

Memory

3.0MiB live, 561.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 708×	`lower-fma.f32`
10 700×	`lower-fma.f64`
4 892×	`lower-*.f32`
4 882×	`lower-*.f64`
3 184×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	63
0	35	61
1	140	57
2	916	57
0	8351	56

Stop Event

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

Counts

12 → 818

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 x #s(literal -3/25 binary64))
(*.f64 x #s(literal -253/1000 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 x x)
(fma.f64 #s(literal -25/3 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))

Outputs
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))
(+.f64 #s(literal -253/1000 binary64) (neg.f64 (*.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -3/25 binary64))))
(+.f64 #s(literal -253/1000 binary64) (.f64 #s(literal -1 binary64) (.f64 x #s(literal 3/25 binary64))))
(+.f64 #s(literal -253/1000 binary64) (.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(+.f64 (neg.f64 (*.f64 x #s(literal 3/25 binary64))) #s(literal -253/1000 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -3/25 binary64))) #s(literal -253/1000 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal 3/25 binary64))) #s(literal -253/1000 binary64))
(+.f64 (.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -1 binary64)) #s(literal -253/1000 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 9/625 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) (/.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64) #s(literal -253/1000 binary64))
(fma.f64 (.f64 x #s(literal -3/25 binary64)) (/.f64 (.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 (.f64 x #s(literal -3/25 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9/625 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 #s(literal -25/3 binary64) (*.f64 x #s(literal 9/625 binary64)) #s(literal -253/1000 binary64))
(fma.f64 #s(literal 9/625 binary64) (*.f64 x #s(literal -25/3 binary64)) #s(literal -253/1000 binary64))
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal -25/3 binary64) #s(literal -253/1000 binary64))
(fma.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (/.f64 (.f64 x #s(literal -3/25 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (/.f64 #s(literal -3/25 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -27/15625 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(fma.f64 #s(literal -27/15625 binary64) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(fma.f64 (pow.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (neg.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
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(.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 81/390625 binary64)) #s(literal -576081/625000000 binary64)) #s(literal 4097152081/1000000000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81/390625 binary64)) #s(literal -4097152081/1000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (fma.f64 (fma.f64 x #s(literal -759/25000 binary64) #s(literal 64009/1000000 binary64)) (.f64 (fma.f64 x #s(literal -759/25000 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal -759/25000 binary64) #s(literal 64009/1000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81/390625 binary64))) (.f64 (fma.f64 x #s(literal -759/25000 binary64) #s(literal 64009/1000000 binary64)) (-.f64 (fma.f64 x #s(literal -759/25000 binary64) #s(literal 64009/1000000 binary64)) (.f64 (.f64 x x) #s(literal 9/625 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) (fma.f64 x #s(literal 759/25000 binary64) #s(literal 64009/1000000 binary64))))

simplify337.0ms (4.5%)

Memory

-23.7MiB live, 373.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 444×	`lower-fma.f64`
9 444×	`lower-fma.f32`
2 682×	`lower-*.f64`
2 682×	`lower-*.f32`
1 538×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	761
1	283	753
2	678	720
3	1441	716
4	3096	716
5	6506	716
0	8138	650

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
184009/120000
(+ 184009/120000 (* -3/25 (pow x 2)))
(+ 184009/120000 (* -3/25 (pow x 2)))
(+ 184009/120000 (* -3/25 (pow x 2)))
(* -3/25 (pow x 2))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* -3/25 (pow x 2))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
-1000/253
(- (* 120000/64009 x) 1000/253)
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)
(/ -25/3 x)
(/ (- (* 1265/72 (/ 1 x)) 25/3) x)
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/ -25/3 x)
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))

Outputs
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
184009/120000
#s(literal 184009/120000 binary64)
(+ 184009/120000 (* -3/25 (pow x 2)))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 184009/120000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
-1000/253
#s(literal -1000/253 binary64)
(- (* 120000/64009 x) 1000/253)
(fma.f64 x #s(literal 120000/64009 binary64) #s(literal -1000/253 binary64))
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)
(fma.f64 x (fma.f64 x #s(literal -14400000/16194277 binary64) #s(literal 120000/64009 binary64)) #s(literal -1000/253 binary64))
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1728000000/4097152081 binary64) #s(literal -14400000/16194277 binary64)) #s(literal 120000/64009 binary64)) #s(literal -1000/253 binary64))
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ (- (* 1265/72 (/ 1 x)) 25/3) x)
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x)) x)
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x)) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x)) x)
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x)) x)
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))

eval404.0ms (5.4%)

Memory: -145.7MiB live, 240.5MiB allocated
Compiler: Compiled 20 552 to 2 030 computations (90.1% saved)

prune122.0ms (1.6%)

Memory

24.3MiB live, 298.0MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	959	3	962
Fresh	2	0	2
Picked	2	3	5
Done	0	6	6
Total	963	12	975

Accuracy

100.0%

Counts

975 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
	99.6%	(fma.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -25/3 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓	48.8%	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
✓	53.9%	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
	48.3%	(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
	48.0%	(.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -25/3 binary64))
✓	48.0%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	49.0%	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓	48.3%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.9%	(*.f64 x #s(literal -253/1000 binary64))
✓	51.7%	#s(literal 1 binary64)

Compiler

Compiled 357 to 140 computations (60.8% saved)

regimes35.0ms (0.5%)

Memory

-4.4MiB live, 73.3MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -25/3 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 #s(literal -25/3 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -25/3 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (.f64 x #s(literal -3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) x) (.f64 x #s(literal 9/625 binary64)) (fma.f64 #s(literal 64009/1000000 binary64) (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 #s(literal -64009/1000000 binary64) (.f64 x x))) (neg.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) (*.f64 x #s(literal 253/1000 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 x x)) (.f64 #s(literal 64009/1000000 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))))

Outputs

(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))

Calls

3 calls:

15.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
12.0ms	x
7.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes24.0ms (0.3%)

Memory

18.9MiB live, 56.6MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -25/3 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (.f64 x x) #s(literal -3/25 binary64) (.f64 x #s(literal -253/1000 binary64)))
(fma.f64 #s(literal -25/3 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -25/3 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (.f64 x #s(literal -3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))

Outputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))

Calls

3 calls:

9.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
7.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
7.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes12.0ms (0.2%)

Memory

-11.4MiB live, 27.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Outputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Calls

3 calls:

5.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes12.0ms (0.2%)

Memory

-20.2MiB live, 25.2MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))

Outputs
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))

Calls

3 calls:

6.0ms	x
3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
99.0%	3	`x`
99.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.0%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes5.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))

Outputs
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))

Calls

2 calls:

3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
98.8%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))

Outputs
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))

Calls

3 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
53.9%	1	`x`
53.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
53.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-24.0MiB live, 15.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))

Outputs
#s(literal 1 binary64)
(*.f64 x #s(literal -253/1000 binary64))

Calls

3 calls:

4.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
51.7%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
53.3%	2	`x`
51.7%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
1.0ms	x

Results

Accuracy	Segments	Branch
51.7%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
51.7%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001418549737489072	13372.850010565995

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001418549737489072	13372.850010565995

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch19.0ms (0.3%)

Memory

4.4MiB live, 43.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.005592083673956869	7749.142823247208

Samples

12.0ms

144×

valid

Compiler

Compiled 85 to 75 computations (11.8% saved)

Precisions

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

ival-add: 3.0ms (34% of total)

const: 3.0ms (34% of total)

ival-mult: 2.0ms (22.7% of total)

ival-sub: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Memory

-13.9MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	82
1	53	82
2	67	82
3	76	82
4	82	82
5	84	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
#s(literal 1 binary64)

Outputs
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(if (<=.f64 (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(if (<=.f64 (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
#s(literal 1 binary64)

soundness1.3s (17.7%)

Memory

-5.6MiB live, 722.0MiB allocated

Rules

8 632×	`lower-fma.f32`
8 620×	`lower-fma.f64`
7 706×	`lower-fma.f64`
7 706×	`lower-fma.f32`
5 614×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	87
0	38	77
1	157	65
2	1283	65
0	8824	63
0	35	254
1	93	254
2	217	248
3	501	248
4	1016	248
5	2377	248
6	4088	248
7	5191	248
8	6484	248
9	7517	248
0	8007	215
0	98	954
1	273	930
2	672	882
3	1396	882
4	2541	878
5	5736	878
0	8367	770
0	55	796
1	146	790
2	372	778
3	792	778
4	1456	778
5	3177	778
6	5022	778
7	6274	778
8	7596	778
0	8021	679
0	8	24
0	12	24
1	55	24
2	428	24
3	4320	24
0	8270	20

Stop Event

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

Compiler

Compiled 161 to 93 computations (42.2% saved)

preprocess79.0ms (1.1%)

Memory: 19.8MiB live, 96.7MiB allocated
Compiler: Compiled 186 to 82 computations (55.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24

analyze0.0ms (0%)

sample951.0ms (12.7%)

preprocess55.0ms (0.7%)

explain111.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.4%)

localize33.0ms (0.4%)

series3.0ms (0%)

rewrite354.0ms (4.7%)

simplify314.0ms (4.2%)

eval45.0ms (0.6%)

prune48.0ms (0.6%)

simplify177.0ms (2.4%)

localize106.0ms (1.4%)

series11.0ms (0.1%)

rewrite437.0ms (5.9%)

simplify261.0ms (3.5%)

eval203.0ms (2.7%)

prune79.0ms (1.1%)

simplify202.0ms (2.7%)

localize149.0ms (2%)

series6.0ms (0.1%)

rewrite361.0ms (4.8%)

simplify281.0ms (3.8%)

eval126.0ms (1.7%)

prune128.0ms (1.7%)

simplify10.0ms (0.1%)

localize187.0ms (2.5%)

series3.0ms (0%)

rewrite397.0ms (5.3%)

simplify337.0ms (4.5%)

eval404.0ms (5.4%)

prune122.0ms (1.6%)

regimes35.0ms (0.5%)

regimes24.0ms (0.3%)

regimes12.0ms (0.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.3%)

simplify15.0ms (0.2%)

soundness1.3s (17.7%)

preprocess79.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24