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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.5s (19.6%)

Memory

3.4MiB live, 783.8MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 866.0ms

const: 672.0ms (77.6% of total)

ival-mult: 100.0ms (11.6% of total)

ival-add: 44.0ms (5.1% of total)

ival-sub: 37.0ms (4.3% of total)

ival-true: 6.0ms (0.7% of total)

exact: 4.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess51.0ms (0.7%)

Memory

4.3MiB live, 79.0MiB allocated

Algorithm

1×	egg-herbie

Rules

584×	`accelerator-lowering-fma.f32`
584×	`accelerator-lowering-fma.f64`
248×	`-lowering-.f32`
248×	`-lowering-.f64`
136×	`+-lowering-+.f64`

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
1	24	9
2	62	9
3	127	9
4	220	9
5	340	9
6	477	9
7	637	9
8	659	9
0	659	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain112.0ms (1.5%)

Memory

17.6MiB live, 221.4MiB 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

42.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

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

const: 15.0ms (51.3% of total)

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

ival-add: 4.0ms (13.7% of total)

ival-sub: 2.0ms (6.8% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.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)

simplify29.0ms (0.4%)

Memory

-6.1MiB live, 32.8MiB 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×	`accelerator-lowering-fma.f32`
584×	`accelerator-lowering-fma.f64`
248×	`-lowering-.f32`
248×	`-lowering-.f64`
136×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	24	28
2	62	28
3	127	28
4	220	28
5	340	28
6	477	28
7	637	28
8	659	28
0	659	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.4%)

Memory

-12.9MiB live, 64.0MiB 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	99.6%	(*.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: 13.0ms

const: 7.0ms (55.2% of total)

ival-mult: 3.0ms (23.6% of total)

ival-sub: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% 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

7.4MiB live, 7.4MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

rewrite368.0ms (4.9%)

Memory

0.2MiB live, 644.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 504×	`accelerator-lowering-fma.f32`
4 504×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
2 686×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	51	24
2	425	24
3	4315	24
0	8268	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 317

Calls

Call 1

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

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 #s(literal 253/1000 binary64)) (fma.f64 x (.f64 x #s(literal 3/25 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 #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 (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 x x) (.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 (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 x))) (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 -253/1000 binary64)) (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) (fma.f64 x #s(literal -253/1000 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 (*.f64 x 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 (.f64 x 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 (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 x x) (.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 (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 x))) (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 (*.f64 x x) #s(literal -3/25 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x 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 #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 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 #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 (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 x x) (.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 (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 x))) (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 x (neg.f64 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 (*.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))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (neg.f64 x) #s(literal 1 binary64))
(fma.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 (*.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 (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))) (neg.f64 x)) #s(literal 1 binary64))
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(pow.f64 (/.f64 (fma.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 #s(literal 64009/1000000 binary64) (.f64 x x))) (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 (.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 #s(literal 64009/1000000 binary64) (.f64 x x)))))
(.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 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(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)))

simplify299.0ms (4%)

Memory

-34.3MiB live, 398.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 044×	`accelerator-lowering-fma.f32`
5 044×	`accelerator-lowering-fma.f64`
3 798×	`-lowering-.f32`
3 798×	`-lowering-.f64`
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))

eval68.0ms (0.9%)

Memory: -11.5MiB live, 102.8MiB allocated
Compiler: Compiled 8 907 to 929 computations (89.6% saved)

prune45.0ms (0.6%)

Memory

2.2MiB live, 122.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	355	10	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	356	10	366

Accuracy

100.0%

Counts

366 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(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)))
▶	99.9%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
	46.8%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
▶	99.9%	(-.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)))))
	99.5%	(-.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)))))
	99.5%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (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)))))
	54.6%	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
▶	53.5%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	45.1%	#s(literal 1 binary64)

Compiler

Compiled 182 to 134 computations (26.4% saved)

simplify41.0ms (0.6%)

Memory

-1.5MiB live, 77.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

600×	`accelerator-lowering-fma.f32`
600×	`accelerator-lowering-fma.f64`
264×	`-lowering-.f32`
264×	`-lowering-.f64`
158×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	40	82
2	72	82
3	180	82
4	316	82
5	410	82
6	547	82
7	708	82
8	848	82
9	903	82
10	906	82
0	906	71

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize115.0ms (1.5%)

Memory

11.1MiB live, 167.9MiB allocated

Localize:

Found 11 expressions of interest:

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

Samples

90.0ms

256×

valid

Compiler

Compiled 80 to 22 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

const: 31.0ms (60.7% of total)

ival-mult: 9.0ms (17.6% of total)

ival-add: 5.0ms (9.8% of total)

ival-div: 3.0ms (5.9% of total)

ival-sub: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite394.0ms (5.3%)

Memory

-12.1MiB live, 657.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 580×	`accelerator-lowering-fma.f32`
6 580×	`accelerator-lowering-fma.f64`
3 484×	`/-lowering-/.f32`
3 484×	`/-lowering-/.f64`
3 418×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	72
1	127	64
2	1090	64
0	9034	53

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 723

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) (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 #s(literal -3/25 binary64) (*.f64 x x))))
(+.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 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(+.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 (.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 x x)) (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 (.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))) (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 (.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 (*.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 (.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 (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 (.f64 x x) #s(literal 9/625 binary64)) (.f64 x x)) (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 (.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 #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))) (/.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))))) (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))) (/.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 (.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))) (+.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3/25 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 x x)) (+.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3/25 binary64) (*.f64 x x)))))
(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 #s(literal -253/1000 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x))))
(fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #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 #s(literal -3/25 binary64) (*.f64 x 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 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -253/1000 binary64) x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x))))
(fma.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.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 1 binary64) (.f64 x #s(literal -253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(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 #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 (.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 (*.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)))))
(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 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (neg.f64 x) #s(literal 1 binary64))
(fma.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 (*.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 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 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (neg.f64 x) #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))
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(.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 (.f64 x 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 #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) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))))
(.f64 (neg.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 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 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) (+.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x 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) (+.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 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)))

simplify376.0ms (5%)

Memory

27.1MiB live, 549.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 636×	`accelerator-lowering-fma.f32`
10 636×	`accelerator-lowering-fma.f64`
3 068×	`-lowering-.f32`
3 068×	`-lowering-.f64`
1 552×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	710
1	266	702
2	626	684
3	1397	680
4	3235	680
5	6495	680
0	8117	593

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

eval102.0ms (1.4%)

Memory: -15.3MiB live, 228.2MiB allocated
Compiler: Compiled 21 091 to 1 305 computations (93.8% saved)

prune156.0ms (2.1%)

Memory

-16.8MiB live, 145.2MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	858	5	863
Fresh	1	4	5
Picked	1	4	5
Done	0	0	0
Total	860	13	873

Accuracy

100.0%

Counts

873 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	99.5%	(fma.f64 (/.f64 (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))) 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)))
✓	99.9%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
▶	46.8%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
	96.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
▶	99.5%	(-.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)))))
	77.9%	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (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) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal -1/2 binary64))))
	53.2%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
▶	54.6%	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
▶	53.5%	(*.f64 x (/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	53.5%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	45.1%	#s(literal 1 binary64)

Compiler

Compiled 224 to 151 computations (32.6% saved)

simplify278.0ms (3.7%)

Memory

6.1MiB live, 199.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

3 664×	`accelerator-lowering-fma.f32`
3 664×	`accelerator-lowering-fma.f64`
1 928×	`-lowering-.f32`
1 928×	`-lowering-.f64`
1 330×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	118
1	58	118
2	105	118
3	264	118
4	659	118
5	1049	118
6	1600	118
7	2751	118
8	4088	118
9	5039	118
10	5645	118
11	5862	118
12	5901	118
13	5919	118
14	6216	118
15	7016	118
16	7556	118
17	7754	118
18	7858	118
0	8014	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize112.0ms (1.5%)

Memory

25.4MiB live, 143.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	accuracy	99.7%	(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
✓	accuracy	99.5%	(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
✓	accuracy	99.5%	(.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))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(*.f64 x (/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.4%	(/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) x))
✓	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 #s(literal -253/1000 binary64) x #s(literal 1 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)))

Samples

78.0ms

256×

valid

Compiler

Compiled 113 to 28 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 29.0ms (45.3% of total)

ival-mult: 14.0ms (21.9% of total)

const: 14.0ms (21.9% of total)

ival-div: 5.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

14 → 168

Calls

Call 1

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

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 (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 (* -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 (* -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 (* -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 (/ 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 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 64009/1000000>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<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 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

42 calls:

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

rewrite397.0ms (5.3%)

Memory

13.9MiB live, 640.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 806×	`accelerator-lowering-fma.f32`
4 806×	`accelerator-lowering-fma.f64`
4 676×	`-lowering-.f32`
4 676×	`-lowering-.f64`
4 430×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	96
1	167	96
2	1273	96
0	8395	83

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 668

Calls

Call 1

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

Outputs
(+.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 #s(literal 1 binary64) (*.f64 x (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 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 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 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #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 (.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))) (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 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 (.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 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.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) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 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 (*.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 x (/.f64 x #s(literal -25/3 binary64)) (fma.f64 x #s(literal -253/1000 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)))
(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) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -253/1000 binary64) x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(fma.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 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)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -3/25 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 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -3/25 binary64)) (/.f64 #s(literal -1 binary64) x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (/.f64 #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))))
(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 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 x) #s(literal -25/3 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 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))))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (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 #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 #s(literal -3/25 binary64)) #s(literal -1 binary64)) (neg.f64 x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal -1 binary64) x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -3/25 binary64) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal -3/25 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -3/25 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 3/25 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 3/25 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (.f64 x 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 x (/.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))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (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))) (/.f64 x (/.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) (/.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 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 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.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))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 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 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.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))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (.f64 (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 (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.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))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x #s(literal -253/1000 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 x x) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))))
(/.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.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))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)))) (fma.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)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 (.f64 x x) (.f64 #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))))))
(/.f64 (.f64 (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 (*.f64 x #s(literal -3/25 binary64))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x #s(literal -3/25 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -253/1000 binary64)))))
(/.f64 (fma.f64 (.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64))) (.f64 x #s(literal -3/25 binary64)))) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -253/1000 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (.f64 x #s(literal -3/25 binary64)))) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.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))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 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 x x) (.f64 (*.f64 x x) #s(literal 9/625 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.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))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (fma.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)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 (.f64 x x) (.f64 #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (neg.f64 (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(/.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)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64))) (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)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) #s(literal -1 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 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))))

simplify293.0ms (3.9%)

Memory

-24.7MiB live, 450.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 354×	`accelerator-lowering-fma.f32`
6 354×	`accelerator-lowering-fma.f64`
2 764×	`-lowering-.f32`
2 764×	`-lowering-.f64`
2 430×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	911
1	272	896
2	643	866
3	1285	866
4	2277	862
5	5163	862
0	8490	763

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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))
(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 (* -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)))))
(* -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)
(* -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))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 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))))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* 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)
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
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 (* -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))
(* -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))
(* -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)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) 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))
(* 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)))
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x 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) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x 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) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* 1000/253 x)
(*.f64 x #s(literal 1000/253 binary64))
(* 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 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x))
(- (* -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 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x))
(- (* -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))
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))

eval108.0ms (1.4%)

Memory: 11.5MiB live, 276.0MiB allocated
Compiler: Compiled 20 909 to 2 098 computations (90% saved)

prune257.0ms (3.5%)

Memory

-4.9MiB live, 248.4MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	864	4	868
Fresh	3	1	4
Picked	2	3	5
Done	0	4	4
Total	869	12	881

Accuracy

100.0%

Counts

881 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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)))
✓	99.9%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓	46.8%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
▶	81.1%	(/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) x)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64))))
▶	61.2%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64)))
▶	53.2%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	54.6%	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
▶	54.2%	(.f64 x (/.f64 (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))))
✓	53.5%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	3.4%	(*.f64 x #s(literal -253/1000 binary64))
✓	45.1%	#s(literal 1 binary64)

Compiler

Compiled 178 to 117 computations (34.3% saved)

simplify401.0ms (5.4%)

Memory

15.6MiB live, 532.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
✓	cost-diff	0	(/.f64 (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)))
✓	cost-diff	0	(.f64 x (/.f64 (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))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64)))
✓	cost-diff	320	(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 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	320	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64))
✓	cost-diff	512	(.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64)))
✓	cost-diff	896	(/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) x)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64))))
✓	cost-diff	1024	(fma.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64)) (*.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) x))

Rules

10 356×	`accelerator-lowering-fma.f32`
10 356×	`accelerator-lowering-fma.f64`
4 962×	`-lowering-.f32`
4 962×	`-lowering-.f64`
2 320×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	189
1	76	189
2	174	183
3	446	175
4	965	159
5	1592	159
6	4562	159
0	8454	142

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(/ (+ (* (+ (* (* x x) 64009/1000000) -1) (* (/ 1 x) -25/3)) (* (+ (* x -253/1000) -1) x)) (* (+ (* x -253/1000) -1) (* (/ 1 x) -25/3)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)) #s(literal 25/3 binary64)) (fma.f64 x #s(literal 253/120 binary64) #s(literal 25/3 binary64)))
(+ (* (+ (* (* x x) 64009/1000000) -1) (* (/ 1 x) -25/3)) (* (+ (* x -253/1000) -1) x))
(fma.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)) (/.f64 #s(literal 25/3 binary64) x))
(+ (* (* x x) 64009/1000000) -1)
(fma.f64 x (*.f64 x #s(literal 64009/1000000 binary64)) #s(literal -1 binary64))
(* x x)
(*.f64 x x)
x
64009/1000000
#s(literal 64009/1000000 binary64)
-1
#s(literal -1 binary64)
(* (/ 1 x) -25/3)
(/.f64 #s(literal -25/3 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
-25/3
#s(literal -25/3 binary64)
(* (+ (* x -253/1000) -1) x)
(*.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)))
(+ (* x -253/1000) -1)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(* (+ (* x -253/1000) -1) (* (/ 1 x) -25/3))
(-.f64 #s(literal 253/120 binary64) (/.f64 #s(literal -25/3 binary64) x))
(* x -253/1000)
(*.f64 x #s(literal -253/1000 binary64))
x
-253/1000
#s(literal -253/1000 binary64)
(* (* x x) -3/25)
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* x x)
(*.f64 x x)
x
-3/25
#s(literal -3/25 binary64)
(- 1 (* (+ (* (* x x) -9/625) 64009/1000000) -25/3))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
1
#s(literal 1 binary64)
(* (+ (* (* x x) -9/625) 64009/1000000) -25/3)
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) #s(literal -64009/120000 binary64))
(+ (* (* x x) -9/625) 64009/1000000)
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* x x)
(*.f64 x x)
x
-9/625
#s(literal -9/625 binary64)
64009/1000000
#s(literal 64009/1000000 binary64)
-25/3
#s(literal -25/3 binary64)
(* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000)))
(/.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
(/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000))
(/.f64 (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)))
(+ (* (* x x) 9/625) -64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* x x)
(*.f64 x x)
9/625
#s(literal 9/625 binary64)
-64009/1000000
#s(literal -64009/1000000 binary64)
(+ (* x -3/25) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
-3/25
#s(literal -3/25 binary64)
253/1000
#s(literal 253/1000 binary64)

localize123.0ms (1.7%)

Memory

-3.3MiB live, 188.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓	accuracy	99.8%	(.f64 x (/.f64 (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))))
✓	accuracy	99.5%	(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
✓	accuracy	72.6%	(/.f64 (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)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64))
✓	accuracy	99.5%	(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
✓	accuracy	99.3%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 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	99.8%	(.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64)))
✓	accuracy	99.5%	(fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))
✓	accuracy	99.3%	(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64))
✓	accuracy	81.6%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64)) (*.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) x))

Samples

80.0ms

256×

valid

Compiler

Compiled 181 to 36 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

const: 25.0ms (39.3% of total)

ival-mult: 22.0ms (34.6% of total)

ival-div: 8.0ms (12.6% of total)

ival-add: 6.0ms (9.4% of total)

ival-sub: 2.0ms (3.1% 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

16.2MiB live, 16.2MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#<alt (/ 25/3 x)>
#<alt (/ (+ 25/3 (* -184009/120000 (pow x 2))) x)>
#<alt (/ (+ 25/3 (* (pow x 2) (- (* -253/1000 x) 184009/120000))) x)>
#<alt (/ (+ 25/3 (* (pow x 2) (- (* -253/1000 x) 184009/120000))) x)>
#<alt (* -253/1000 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 253/1000 (* 184009/120000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 25/3 (pow x 3)) (+ 253/1000 (* 184009/120000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 25/3 (pow x 3)) (+ 253/1000 (* 184009/120000 (/ 1 x)))))>
#<alt (* -253/1000 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 253/1000 (* 184009/120000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 184009/120000 (* 25/3 (/ 1 (pow x 2)))) x)) 253/1000))>
#<alt (* (pow x 2) (- (* -1 (/ (- 184009/120000 (* 25/3 (/ 1 (pow x 2)))) x)) 253/1000))>
#<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 (/ 25/3 x)>
#<alt (/ (+ 25/3 (* 253/120 x)) x)>
#<alt (/ (+ 25/3 (* 253/120 x)) x)>
#<alt (/ (+ 25/3 (* 253/120 x)) x)>
#<alt 253/120>
#<alt (+ 253/120 (* 25/3 (/ 1 x)))>
#<alt (+ 253/120 (* 25/3 (/ 1 x)))>
#<alt (+ 253/120 (* 25/3 (/ 1 x)))>
#<alt 253/120>
#<alt (+ 253/120 (* 25/3 (/ 1 x)))>
#<alt (+ 253/120 (* 25/3 (/ 1 x)))>
#<alt (+ 253/120 (* 25/3 (/ 1 x)))>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 x)>
#<alt (/ -25/3 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 -64009/120000>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (- (* 3/25 (pow x 2)) 64009/120000)>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (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 (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (+ 64009/1000000 (* -9/625 (pow x 2)))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* -9/625 (pow x 2))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))>
#<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 -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 -1>
#<alt (- (* 64009/1000000 (pow x 2)) 1)>
#<alt (- (* 64009/1000000 (pow x 2)) 1)>
#<alt (- (* 64009/1000000 (pow x 2)) 1)>
#<alt (* 64009/1000000 (pow x 2))>
#<alt (* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))>
#<alt (* 64009/1000000 (pow x 2))>
#<alt (* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))>
#<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
2.0ms	x	@	-inf	(* (+ (* (* x x) -9/625) 64009/1000000) -25/3)
1.0ms	x	@	inf	(+ (* (+ (* (* x x) 64009/1000000) -1) (* (/ 1 x) -25/3)) (* (+ (* x -253/1000) -1) x))
0.0ms	x	@	0	(* x (/ (+ (* (* x x) 9/625) -64009/1000000) (+ (* x -3/25) 253/1000)))
0.0ms	x	@	0	(+ (* (+ (* (* x x) 64009/1000000) -1) (* (/ 1 x) -25/3)) (* (+ (* x -253/1000) -1) x))
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) 64009/1000000) -1) (* (/ 1 x) -25/3)) (* (+ (* x -253/1000) -1) x))

rewrite445.0ms (6%)

Memory

-13.4MiB live, 618.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 244×	`accelerator-lowering-fma.f32`
5 244×	`accelerator-lowering-fma.f64`
4 822×	`/-lowering-/.f32`
4 822×	`/-lowering-/.f64`
3 822×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	145
1	186	129
2	1581	129
0	8288	112

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 743

Calls

Call 1

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

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

simplify281.0ms (3.8%)

Memory

21.0MiB live, 460.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 948×	`accelerator-lowering-fma.f32`
8 948×	`accelerator-lowering-fma.f64`
3 232×	`-lowering-.f32`
3 232×	`-lowering-.f64`
1 352×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1011
1	251	1000
2	663	972
3	1550	970
4	3156	970
5	5874	958
6	7999	958
0	8011	853

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(/ 25/3 x)
(/ (+ 25/3 (* -184009/120000 (pow x 2))) x)
(/ (+ 25/3 (* (pow x 2) (- (* -253/1000 x) 184009/120000))) x)
(/ (+ 25/3 (* (pow x 2) (- (* -253/1000 x) 184009/120000))) x)
(* -253/1000 (pow x 2))
(* -1 (* (pow x 2) (+ 253/1000 (* 184009/120000 (/ 1 x)))))
(* (pow x 2) (- (/ 25/3 (pow x 3)) (+ 253/1000 (* 184009/120000 (/ 1 x)))))
(* (pow x 2) (- (/ 25/3 (pow x 3)) (+ 253/1000 (* 184009/120000 (/ 1 x)))))
(* -253/1000 (pow x 2))
(* -1 (* (pow x 2) (+ 253/1000 (* 184009/120000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 184009/120000 (* 25/3 (/ 1 (pow x 2)))) x)) 253/1000))
(* (pow x 2) (- (* -1 (/ (- 184009/120000 (* 25/3 (/ 1 (pow x 2)))) x)) 253/1000))
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))
(/ 25/3 x)
(/ (+ 25/3 (* 253/120 x)) x)
(/ (+ 25/3 (* 253/120 x)) x)
(/ (+ 25/3 (* 253/120 x)) x)
253/120
(+ 253/120 (* 25/3 (/ 1 x)))
(+ 253/120 (* 25/3 (/ 1 x)))
(+ 253/120 (* 25/3 (/ 1 x)))
253/120
(+ 253/120 (* 25/3 (/ 1 x)))
(+ 253/120 (* 25/3 (/ 1 x)))
(+ 253/120 (* 25/3 (/ 1 x)))
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 x)
(/ -25/3 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)
-64009/120000
(- (* 3/25 (pow x 2)) 64009/120000)
(- (* 3/25 (pow x 2)) 64009/120000)
(- (* 3/25 (pow x 2)) 64009/120000)
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (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
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -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)))))
-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)))))
-1
(- (* 64009/1000000 (pow x 2)) 1)
(- (* 64009/1000000 (pow x 2)) 1)
(- (* 64009/1000000 (pow x 2)) 1)
(* 64009/1000000 (pow x 2))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(* 64009/1000000 (pow x 2))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
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
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ (+ 25/3 (* -184009/120000 (pow x 2))) x)
(fma.f64 x #s(literal -184009/120000 binary64) (/.f64 #s(literal 25/3 binary64) x))
(/ (+ 25/3 (* (pow x 2) (- (* -253/1000 x) 184009/120000))) x)
(fma.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)) (/.f64 #s(literal 25/3 binary64) x))
(/ (+ 25/3 (* (pow x 2) (- (* -253/1000 x) 184009/120000))) x)
(fma.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)) (/.f64 #s(literal 25/3 binary64) x))
(* -253/1000 (pow x 2))
(.f64 (.f64 x x) #s(literal -253/1000 binary64))
(* -1 (* (pow x 2) (+ 253/1000 (* 184009/120000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)))
(* (pow x 2) (- (/ 25/3 (pow x 3)) (+ 253/1000 (* 184009/120000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)) (/.f64 #s(literal 25/3 binary64) x))
(* (pow x 2) (- (/ 25/3 (pow x 3)) (+ 253/1000 (* 184009/120000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)) (/.f64 #s(literal 25/3 binary64) x))
(* -253/1000 (pow x 2))
(.f64 (.f64 x x) #s(literal -253/1000 binary64))
(* -1 (* (pow x 2) (+ 253/1000 (* 184009/120000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 184009/120000 (* 25/3 (/ 1 (pow x 2)))) x)) 253/1000))
(fma.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)) (/.f64 #s(literal 25/3 binary64) x))
(* (pow x 2) (- (* -1 (/ (- 184009/120000 (* 25/3 (/ 1 (pow x 2)))) x)) 253/1000))
(fma.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal -184009/120000 binary64)) (/.f64 #s(literal 25/3 binary64) 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 (.f64 x 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 (.f64 x 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))
(/ 25/3 x)
(/.f64 #s(literal 25/3 binary64) x)
(/ (+ 25/3 (* 253/120 x)) x)
(/.f64 (fma.f64 x #s(literal 253/120 binary64) #s(literal 25/3 binary64)) x)
(/ (+ 25/3 (* 253/120 x)) x)
(/.f64 (fma.f64 x #s(literal 253/120 binary64) #s(literal 25/3 binary64)) x)
(/ (+ 25/3 (* 253/120 x)) x)
(/.f64 (fma.f64 x #s(literal 253/120 binary64) #s(literal 25/3 binary64)) x)
253/120
#s(literal 253/120 binary64)
(+ 253/120 (* 25/3 (/ 1 x)))
(+.f64 #s(literal 253/120 binary64) (/.f64 #s(literal 25/3 binary64) x))
(+ 253/120 (* 25/3 (/ 1 x)))
(+.f64 #s(literal 253/120 binary64) (/.f64 #s(literal 25/3 binary64) x))
(+ 253/120 (* 25/3 (/ 1 x)))
(+.f64 #s(literal 253/120 binary64) (/.f64 #s(literal 25/3 binary64) x))
253/120
#s(literal 253/120 binary64)
(+ 253/120 (* 25/3 (/ 1 x)))
(+.f64 #s(literal 253/120 binary64) (/.f64 #s(literal 25/3 binary64) x))
(+ 253/120 (* 25/3 (/ 1 x)))
(+.f64 #s(literal 253/120 binary64) (/.f64 #s(literal 25/3 binary64) x))
(+ 253/120 (* 25/3 (/ 1 x)))
(+.f64 #s(literal 253/120 binary64) (/.f64 #s(literal 25/3 binary64) x))
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) 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))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 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)
-64009/120000
#s(literal -64009/120000 binary64)
(- (* 3/25 (pow x 2)) 64009/120000)
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
(- (* 3/25 (pow x 2)) 64009/120000)
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
(- (* 3/25 (pow x 2)) 64009/120000)
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
(* (pow x 2) (- 3/25 (* 64009/120000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal -64009/120000 binary64))
184009/120000
#s(literal 184009/120000 binary64)
(+ 184009/120000 (* -3/25 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(+ 184009/120000 (* -3/25 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* -3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
(* (pow x 2) (- (* 184009/120000 (/ 1 (pow x 2))) 3/25))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 184009/120000 binary64))
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x 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) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x 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) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 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 (.f64 x 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 (.f64 x 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))
-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))
-1
#s(literal -1 binary64)
(- (* 64009/1000000 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))
(- (* 64009/1000000 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))
(- (* 64009/1000000 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))
(* 64009/1000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))
(* 64009/1000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))
(* (pow x 2) (- 64009/1000000 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 64009/1000000 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 (- (* 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))

eval136.0ms (1.8%)

Memory: 6.6MiB live, 343.1MiB allocated
Compiler: Compiled 34 277 to 2 641 computations (92.3% saved)

prune138.0ms (1.9%)

Memory

-0.3MiB live, 261.9MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1 002	3	1 005
Fresh	0	0	0
Picked	3	2	5
Done	0	7	7
Total	1 005	12	1 017

Accuracy

100.0%

Counts

1 017 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.6%	(fma.f64 (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64)) #s(literal 25/3 binary64) #s(literal 1 binary64))
✓	99.9%	(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)))
✓	99.9%	(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓	46.8%	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
	53.5%	(/.f64 (.f64 (.f64 x x) #s(literal -253/1000 binary64)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64))))
✓	53.2%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	54.6%	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
	60.6%	(.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (*.f64 x #s(literal -3/25 binary64))))
✓	53.5%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	3.4%	(*.f64 x #s(literal -253/1000 binary64))
✓	45.1%	#s(literal 1 binary64)

Compiler

Compiled 337 to 145 computations (57% saved)

regimes21.0ms (0.3%)

Memory

8.0MiB live, 45.9MiB 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))
(.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))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 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 x) #s(literal -3/25 binary64) (fma.f64 x #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)) #s(literal 25/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -25/3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(*.f64 x (/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.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)))))
(.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (*.f64 x #s(literal -3/25 binary64))))
(.f64 x (/.f64 (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))))
(fma.f64 (/.f64 (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))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (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 #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)))))
(/.f64 (.f64 (.f64 x x) #s(literal -253/1000 binary64)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64))))
(/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) x)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -25/3 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (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) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal -1/2 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:

8.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
7.0ms	x
6.0ms	(-.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)

regimes9.0ms (0.1%)

Memory

-20.0MiB live, 19.2MiB 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))
(.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:

3.0ms	(.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
98.0%	3	`x`
98.0%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
98.0%	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

10.4MiB live, 10.4MiB allocated

Counts

5 → 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))
(.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:

2.0ms	(.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
97.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
97.6%	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)

regimes8.0ms (0.1%)

Memory

-25.9MiB live, 15.8MiB allocated

Counts

3 → 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))

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

Calls

3 calls:

4.0ms	x
2.0ms	(.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
46.8%	1	`x`
46.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
46.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes5.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Accuracy

Total -27.5b remaining (-78.3%)

Threshold costs -27.5b (-78.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

3 calls:

2.0ms	(.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
45.1%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
45.1%	1	`x`
45.1%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.600580287041017e-5	68.15361170217314

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.600580287041017e-5	68.15361170217314

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify7.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	28	51

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 7378697629483821/147573952589676412928 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 7378697629483821/147573952589676412928 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))
#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))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 7378697629483821/147573952589676412928 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 7378697629483821/147573952589676412928 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))
#s(literal 1 binary64)

soundness703.0ms (9.4%)

Memory

-13.5MiB live, 213.8MiB allocated

Rules

5 044×	`accelerator-lowering-fma.f32`
5 044×	`accelerator-lowering-fma.f64`
4 504×	`accelerator-lowering-fma.f32`
4 504×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`

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
0	8	24
1	51	24
2	425	24
3	4315	24
0	8268	20

Stop Event

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

Compiler

Compiled 90 to 48 computations (46.7% saved)

preprocess48.0ms (0.6%)

Memory: 19.3MiB live, 57.7MiB allocated
Compiler: Compiled 124 to 54 computations (56.5% 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
1	24	9
2	62	9
3	127	9
4	220	9
5	340	9
6	477	9
7	637	9
8	659	9
0	659	7

Iter	Nodes	Cost
0	20	90
1	40	82
2	72	82
3	180	82
4	316	82
5	410	82
6	547	82
7	708	82
8	848	82
9	903	82
10	906	82
0	906	71

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
1	24	9
2	62	9
3	127	9
4	220	9
5	340	9
6	477	9
7	637	9
8	659	9
0	659	7

Iter	Nodes	Cost
0	20	90
1	40	82
2	72	82
3	180	82
4	316	82
5	410	82
6	547	82
7	708	82
8	848	82
9	903	82
10	906	82
0	906	71

analyze0.0ms (0%)

sample1.5s (19.6%)

preprocess51.0ms (0.7%)

explain112.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.4%)

localize33.0ms (0.4%)

series3.0ms (0%)

rewrite368.0ms (4.9%)

simplify299.0ms (4%)

eval68.0ms (0.9%)

prune45.0ms (0.6%)

simplify41.0ms (0.6%)

localize115.0ms (1.5%)

series5.0ms (0.1%)

rewrite394.0ms (5.3%)

simplify376.0ms (5%)

eval102.0ms (1.4%)

prune156.0ms (2.1%)

simplify278.0ms (3.7%)

localize112.0ms (1.5%)

series7.0ms (0.1%)

rewrite397.0ms (5.3%)

simplify293.0ms (3.9%)

eval108.0ms (1.4%)

prune257.0ms (3.5%)

simplify401.0ms (5.4%)

localize123.0ms (1.7%)

series11.0ms (0.1%)

rewrite445.0ms (6%)

simplify281.0ms (3.8%)

eval136.0ms (1.8%)

prune138.0ms (1.9%)

regimes21.0ms (0.3%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness703.0ms (9.4%)

preprocess48.0ms (0.6%)

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
1	24	9
2	62	9
3	127	9
4	220	9
5	340	9
6	477	9
7	637	9
8	659	9
0	659	7

Iter	Nodes	Cost
0	20	90
1	40	82
2	72	82
3	180	82
4	316	82
5	410	82
6	547	82
7	708	82
8	848	82
9	903	82
10	906	82
0	906	71