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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.0s (11.1%)

Memory

-10.6MiB live, 1 596.8MiB allocated

Samples

813.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 505.0ms

const: 219.0ms (43.4% of total)

ival-mult: 124.0ms (24.6% of total)

ival-sub: 95.0ms (18.8% of total)

ival-add: 52.0ms (10.3% of total)

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

exact: 5.0ms (1% of total)

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

Bogosity

preprocess63.0ms (0.7%)

Memory

3.5MiB live, 80.3MiB allocated

Algorithm

2×	egg-herbie

Rules

584×	`accelerator-lowering-fma.f32`
584×	`accelerator-lowering-fma.f64`
248×	`-lowering-.f32`
248×	`-lowering-.f64`
148×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	52	27
2	163	27
3	457	27
4	856	27
5	1033	27
6	1089	27
7	1104	27
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))))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Call 2

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

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

explain110.0ms (1.2%)

Memory

-19.8MiB live, 218.8MiB 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

47.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

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

const: 14.0ms (47.6% of total)

ival-mult: 10.0ms (34% of total)

ival-sub: 2.0ms (6.8% of total)

ival-add: 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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify28.0ms (0.3%)

Memory

6.8MiB live, 45.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize29.0ms (0.3%)

Memory

13.0MiB live, 52.1MiB 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	99.5%	(*.f64 x #s(literal 3/25 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 6.0ms (50.2% of total)

ival-mult: 3.0ms (25.1% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- 1 (* x (+ 253/1000 (* x 3/25))))>
#<alt (* x (+ 253/1000 (* x 3/25)))>
#<alt (+ 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 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 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	(* x (+ 253/1000 (* x 3/25)))
0.0ms	x	@	inf	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	-inf	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	0	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	-inf	(* x 3/25)

rewrite420.0ms (4.5%)

Memory

-1.2MiB live, 587.0MiB 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))))
(* x (+ 253/1000 (* x 3/25)))
(+ 253/1000 (* x 3/25))
(* x 3/25)

Outputs
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1 binary64))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 x #s(literal 253/1000 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 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)))))))) (neg.f64 (/.f64 (.f64 x (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 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))))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 253/1000 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))))))))
(+.f64 (.f64 x #s(literal -253/1000 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) (+.f64 (*.f64 x #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 #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) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 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)))))))) (/.f64 (.f64 x (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 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)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))) (/.f64 (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 253/1000 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)))))))
(-.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 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.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)) (+.f64 (.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))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 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)))))))) (neg.f64 (/.f64 (.f64 x (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 253/1000 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))))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 253/1000 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))))))))
(fma.f64 x #s(literal 253/1000 binary64) (+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal 3/25 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))))
(fma.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64))
(fma.f64 x (.f64 x #s(literal -3/25 binary64)) (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 (*.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 (.f64 (.f64 x 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)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64))))
(fma.f64 #s(literal 253/1000 binary64) x (+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 253/1000 binary64) (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (.f64 x x) #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))))
(fma.f64 #s(literal 3/25 binary64) (neg.f64 (.f64 x x)) (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 (.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)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64))))
(fma.f64 (.f64 x #s(literal 3/25 binary64)) x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))))
(fma.f64 (.f64 x #s(literal 3/25 binary64)) (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (.f64 (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (.f64 (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) #s(literal 1 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 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 4247023759235185531933/1000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683/3814697265625 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) #s(literal 16194277/1000000000 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 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64))) (.f64 (.f64 (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))) (+.f64 (.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))) (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 4247023759235185531933/1000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683/3814697265625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))) (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (-.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) #s(literal 16194277/1000000000 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (+.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(.f64 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 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 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))))) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (+.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 (/.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))) (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64))) (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (.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))) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))))))) (+.f64 #s(literal 4097152081/1000000000000 binary64) (.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)))))
(.f64 (/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 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 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)))) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (+.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 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)))

simplify275.0ms (3%)

Memory

-0.5MiB live, 440.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 044×	`accelerator-lowering-fma.f32`
5 044×	`accelerator-lowering-fma.f64`
3 774×	`-lowering-.f32`
3 774×	`-lowering-.f64`
1 534×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	254
1	93	254
2	217	248
3	501	248
4	1018	248
5	2378	248
6	4091	248
7	5193	248
8	6489	248
9	7540	248
0	8012	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 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 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))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 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 (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 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 (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* x (+ 253/1000 (* 3/25 x)))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* x (+ 253/1000 (* 3/25 x)))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 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 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 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 (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(+ 253/1000 (* 3/25 x))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(+ 253/1000 (* 3/25 x))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))

eval100.0ms (1.1%)

Memory: -17.0MiB live, 99.1MiB allocated
Compiler: Compiled 10 456 to 938 computations (91% saved)

prune86.0ms (0.9%)

Memory

20.4MiB live, 62.8MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	356	9	365
Fresh	0	0	0
Picked	0	1	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%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
	92.7%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) #s(literal -64009/1000000 binary64)) x) (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))))
	99.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))
▶	99.5%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
▶	49.1%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
▶	99.6%	(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 (*.f64 x x) #s(literal -3/25 binary64)))
	53.2%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	52.1%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	47.2%	#s(literal 1 binary64)

Compiler

Compiled 198 to 152 computations (23.2% saved)

simplify194.0ms (2.1%)

Memory

-12.0MiB live, 179.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2 552×	`accelerator-lowering-fma.f32`
2 552×	`accelerator-lowering-fma.f64`
1 240×	`-lowering-.f32`
1 240×	`-lowering-.f64`
1 102×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	144
1	63	140
2	164	140
3	417	140
4	950	140
5	1836	140
6	3292	140
7	3549	140
8	3564	140
9	3571	140
10	3576	140
11	3576	140
12	3744	140
13	3810	140
14	3810	140
15	3810	140
0	3810	125

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize104.0ms (1.1%)

Memory

21.4MiB live, 228.5MiB allocated

Localize:

Found 14 expressions of interest:

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

Samples

62.0ms	254×	0	valid
2.0ms	2×	5	exit

Compiler

Compiled 146 to 24 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

const: 18.0ms (42.8% of total)

ival-mult: 11.0ms (26.2% of total)

ival-sub: 6.0ms (14.3% of total)

ival-add: 4.0ms (9.5% of total)

ival-div: 2.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-19.3MiB live, 19.9MiB allocated

Counts

14 → 168

Calls

Call 1

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x 253/1000)
1.0ms	x	@	inf	(* (* x x) -9/625)
0.0ms	x	@	inf	(- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) (/ x (- 253/1000 (* x 3/25)))))
0.0ms	x	@	inf	(* (+ 64009/1000000 (* (* x x) -9/625)) (/ x (- 253/1000 (* x 3/25))))
0.0ms	x	@	-inf	(- 1 (* (+ 64009/1000000 (* (* x x) -9/625)) (/ x (- 253/1000 (* x 3/25)))))

rewrite750.0ms (8.1%)

Memory

8.4MiB live, 840.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 942×	`accelerator-lowering-fma.f32`
5 942×	`accelerator-lowering-fma.f64`
4 282×	`/-lowering-/.f32`
4 282×	`/-lowering-/.f64`
3 910×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	104
1	153	100
2	1441	100
0	8585	90

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 617

Calls

Call 1

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

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

simplify458.0ms (4.9%)

Memory

-26.8MiB live, 466.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 430×	`accelerator-lowering-fma.f32`
6 430×	`accelerator-lowering-fma.f64`
2 726×	`-lowering-.f32`
2 726×	`-lowering-.f64`
2 398×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	936
1	249	934
2	567	912
3	1168	912
4	2161	908
5	4973	908
0	8433	821

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

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

eval406.0ms (4.4%)

Memory: 34.5MiB live, 224.1MiB allocated
Compiler: Compiled 27 008 to 1 658 computations (93.9% saved)

prune114.0ms (1.2%)

Memory

-23.2MiB live, 176.2MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	907	5	912
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	909	13	922

Accuracy

100.0%

Counts

922 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
▶	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x)))
▶	99.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))
▶	60.1%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
	97.6%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -9/625 binary64)) (/.f64 x (-.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	99.6%	(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 (*.f64 x x) #s(literal -3/25 binary64)))
	97.2%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
▶	53.2%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	52.1%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	4.0%	(*.f64 #s(literal -253/1000 binary64) x)
✓	47.2%	#s(literal 1 binary64)

Compiler

Compiled 210 to 161 computations (23.3% saved)

simplify318.0ms (3.4%)

Memory

17.8MiB live, 265.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4 032×	`accelerator-lowering-fma.f32`
4 032×	`accelerator-lowering-fma.f64`
2 080×	`-lowering-.f32`
2 080×	`-lowering-.f64`
1 452×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	170
1	64	166
2	132	160
3	383	160
4	822	160
5	1318	160
6	2343	160
7	4198	154
8	5605	154
9	6159	154
10	6422	154
11	6474	154
12	6513	154
13	6883	154
14	7323	154
15	7601	154
16	7837	154
17	8000	154
0	8020	140

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize181.0ms (1.9%)

Memory

-19.0MiB live, 174.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 x #s(literal -9/625 binary64))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x)
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64)))) (/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) x))
✓	accuracy	99.5%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal -9/625 binary64))
✓	accuracy	99.3%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 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	99.5%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal -253/1000 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓	accuracy	99.5%	(*.f64 x #s(literal 3/25 binary64))

Samples

103.0ms	254×	0	valid
2.0ms	2×	5	exit

Compiler

Compiled 172 to 32 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

const: 54.0ms (61.4% of total)

ival-mult: 14.0ms (15.9% of total)

ival-div: 10.0ms (11.4% of total)

ival-add: 5.0ms (5.7% of total)

ival-sub: 3.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

18 → 216

Calls

Call 1

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

Outputs
#<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))))>
#<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 (* -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 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 -64009/120000>
#<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 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 (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (* -9/625 (pow x 2))>
#<alt (/ 253/1000 x)>
#<alt (/ (+ 253/1000 (* -3/25 x)) x)>
#<alt (/ (+ 253/1000 (* -3/25 x)) x)>
#<alt (/ (+ 253/1000 (* -3/25 x)) x)>
#<alt -3/25>
#<alt (- (* 253/1000 (/ 1 x)) 3/25)>
#<alt (- (* 253/1000 (/ 1 x)) 3/25)>
#<alt (- (* 253/1000 (/ 1 x)) 3/25)>
#<alt -3/25>
#<alt (- (* 253/1000 (/ 1 x)) 3/25)>
#<alt (- (* 253/1000 (/ 1 x)) 3/25)>
#<alt (- (* 253/1000 (/ 1 x)) 3/25)>
#<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 (* 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 (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>
#<alt (* -9/625 x)>

Calls

54 calls:

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

rewrite452.0ms (4.9%)

Memory

-3.1MiB live, 585.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 994×	`-lowering-.f32`
4 994×	`-lowering-.f64`
4 464×	`/-lowering-/.f32`
4 464×	`/-lowering-/.f64`
2 574×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	134
1	188	130
2	1497	130
0	8097	113

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 471

Calls

Call 1

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

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

simplify595.0ms (6.4%)

Memory

-175.0MiB live, 608.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 134×	`accelerator-lowering-fma.f32`
11 134×	`accelerator-lowering-fma.f64`
3 030×	`-lowering-.f32`
3 030×	`-lowering-.f64`
1 694×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1207
1	306	1199
2	697	1160
3	1541	1156
4	3622	1156
5	7271	1156
0	8145	1036

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 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))))
(* -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)
(* -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)
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))
-64009/120000
(- (* 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)))))
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))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(* -9/625 (pow x 2))
(/ 253/1000 x)
(/ (+ 253/1000 (* -3/25 x)) x)
(/ (+ 253/1000 (* -3/25 x)) x)
(/ (+ 253/1000 (* -3/25 x)) x)
-3/25
(- (* 253/1000 (/ 1 x)) 3/25)
(- (* 253/1000 (/ 1 x)) 3/25)
(- (* 253/1000 (/ 1 x)) 3/25)
-3/25
(- (* 253/1000 (/ 1 x)) 3/25)
(- (* 253/1000 (/ 1 x)) 3/25)
(- (* 253/1000 (/ 1 x)) 3/25)
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))
(* 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)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)
(* -9/625 x)

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

eval81.0ms (0.9%)

Memory: 8.6MiB live, 203.7MiB allocated
Compiler: Compiled 14 560 to 1 570 computations (89.2% saved)

prune64.0ms (0.7%)

Memory

18.3MiB live, 185.5MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	697	4	701
Fresh	2	1	3
Picked	2	3	5
Done	0	5	5
Total	701	13	714

Accuracy

100.0%

Counts

714 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(/.f64 (.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) x) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
✓	99.9%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
▶	97.5%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	60.1%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
▶	97.5%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	99.6%	(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 (*.f64 x x) #s(literal -3/25 binary64)))
▶	51.8%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	53.2%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
▶	52.1%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	4.0%	(*.f64 #s(literal -253/1000 binary64) x)
✓	47.2%	#s(literal 1 binary64)

Compiler

Compiled 158 to 120 computations (24.1% saved)

simplify196.0ms (2.1%)

Memory

-4.2MiB live, 189.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1 880×	`accelerator-lowering-fma.f32`
1 880×	`accelerator-lowering-fma.f64`
1 256×	`-lowering-.f32`
1 256×	`-lowering-.f64`
906×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	114
1	60	114
2	140	114
3	376	114
4	785	114
5	1337	114
6	2169	114
7	2660	114
8	2981	114
9	3048	114
10	3049	114
11	3049	114
12	3117	114
13	3417	114
14	3417	114
15	3525	114
16	3857	114
17	3857	114
18	3857	114
0	3857	107

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize111.0ms (1.2%)

Memory

-13.5MiB live, 257.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64))) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 3/25 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 9/625 binary64))
✓	accuracy	92.6%	(/.f64 (.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))) x) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x #s(literal -9/625 binary64))) #s(literal -25/3 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -9/625 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal -9/625 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x (*.f64 x #s(literal -9/625 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	99.8%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
✓	accuracy	99.3%	(/.f64 #s(literal 25/3 binary64) x)

Samples

72.0ms

256×

valid

Compiler

Compiled 120 to 29 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

const: 24.0ms (43.1% of total)

ival-mult: 21.0ms (37.7% of total)

ival-div: 5.0ms (9% of total)

ival-sub: 3.0ms (5.4% of total)

ival-add: 1.0ms (1.8% 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

15.7MiB live, 15.7MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite438.0ms (4.7%)

Memory

-8.9MiB live, 831.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 690×	`accelerator-lowering-fma.f32`
10 690×	`accelerator-lowering-fma.f64`
5 476×	`-lowering-.f32`
5 476×	`-lowering-.f64`
2 798×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	90
1	131	82
2	1033	82
0	8799	78

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 858

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))
(+.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))))) (neg.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64)))))))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x #s(literal 25/3 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (/.f64 x #s(literal 25/3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64))))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))))) (neg.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64)))))))
(fma.f64 x (/.f64 x #s(literal -25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 25/3 binary64) (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (/.f64 x #s(literal 25/3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (.f64 (.f64 x x) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (.f64 (.f64 x #s(literal -25/3 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal -9/625 binary64)) (.f64 x #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal -9/625 binary64)) (neg.f64 (.f64 x #s(literal -25/3 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal -9/625 binary64)) (.f64 #s(literal -25/3 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal -9/625 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -25/3 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 9/625 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 9/625 binary64) (.f64 (.f64 x x) #s(literal -25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 3/25 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 3/25 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 25/3 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 25/3 binary64)) (*.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal -25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) #s(literal -25/3 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) #s(literal 25/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 3/25 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal 9/625 binary64)) (.f64 x #s(literal -25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 x #s(literal 25/3 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/25 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -25/3 binary64) x) (.f64 x #s(literal 9/625 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -25/3 binary64) (.f64 x x)) #s(literal 9/625 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal -25/3 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 25/3 binary64) (.f64 x x)) #s(literal -9/625 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 25/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 9/625 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal -25/3 binary64) x)) (.f64 x #s(literal -9/625 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal -25/3 binary64) (.f64 x x))) #s(literal -9/625 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 25/3 binary64) x) (.f64 x #s(literal -9/625 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 25/3 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x #s(literal 9/625 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -25/3 binary64) (/.f64 x #s(literal 25/3 binary64))) (/.f64 x #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -25/3 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x #s(literal -9/625 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -25/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -9/625 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -25/3 binary64)) (.f64 x #s(literal -9/625 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -25/3 binary64) x)) (*.f64 x #s(literal -9/625 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -25/3 binary64) (*.f64 x x))) #s(literal -9/625 binary64) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -15625/27 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -9/625 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x #s(literal 25/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -15625/27 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -9/625 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x #s(literal 25/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (+.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (*.f64 x x) #s(literal 9/625 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 25/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x #s(literal 25/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 15625/27 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 9/625 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9/625 binary64)))))) (neg.f64 (+.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) #s(literal -1 binary64))))
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(*.f64 #s(literal -3/25 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 #s(literal -9/625 binary64) (.f64 x #s(literal -25/3 binary64)))
(.f64 (.f64 x #s(literal -9/625 binary64)) #s(literal -25/3 binary64))
(.f64 #s(literal -25/3 binary64) (.f64 x #s(literal -9/625 binary64)))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 25/3 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3/25 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -25/3 binary64)))
(.f64 (.f64 #s(literal -25/3 binary64) x) #s(literal -9/625 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3/25 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 25/3 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9/625 binary64))) #s(literal -25/3 binary64))

simplify191.0ms (2.1%)

Memory

25.0MiB live, 340.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 462×	`-lowering-.f32`
3 462×	`-lowering-.f64`
2 670×	`accelerator-lowering-fma.f32`
2 670×	`accelerator-lowering-fma.f64`
1 846×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	932
1	107	932
2	261	932
3	720	932
4	1786	932
5	3414	932
6	4994	932
7	6679	932
8	7645	932
0	8044	887

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval136.0ms (1.5%)

Memory: -7.8MiB live, 271.6MiB allocated
Compiler: Compiled 17 106 to 1 795 computations (89.5% saved)

prune83.0ms (0.9%)

Memory

10.3MiB live, 210.6MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 070	4	1 074
Fresh	0	0	0
Picked	3	2	5
Done	2	6	8
Total	1 075	12	1 087

Accuracy

100.0%

Counts

1 087 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(/.f64 (.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) x) (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
	52.0%	(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
✓	99.9%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	49.1%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	99.6%	(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 (*.f64 x x) #s(literal -3/25 binary64)))
	51.7%	(.f64 (.f64 (*.f64 x x) #s(literal 9/625 binary64)) #s(literal -25/3 binary64))
✓	51.8%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
	53.2%	(*.f64 x (+.f64 #s(literal -253/1000 binary64) (/.f64 x #s(literal -25/3 binary64))))
✓	52.1%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	4.0%	(*.f64 #s(literal -253/1000 binary64) x)
✓	47.2%	#s(literal 1 binary64)

Compiler

Compiled 310 to 145 computations (53.2% saved)

regimes22.0ms (0.2%)

Memory

-28.8MiB live, 49.1MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

regimes4.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

-33.1MiB live, 7.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
47.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch27.0ms (0.3%)

Memory

15.6MiB live, 54.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.028262279932632313	1160.1691315650248
11.0ms	-406.382724849824	-2.8163771291888864

Samples

16.0ms

240×

valid

Compiler

Compiled 253 to 207 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

const: 5.0ms (46.1% of total)

ival-mult: 3.0ms (27.6% of total)

ival-sub: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

-15.8MiB live, 62.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.028262279932632313	1160.1691315650248
12.0ms	-406.382724849824	-2.8163771291888864

Samples

17.0ms

240×

valid

Compiler

Compiled 223 to 177 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

const: 5.0ms (44.4% of total)

ival-mult: 3.0ms (26.6% of total)

ival-sub: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Memory

11.3MiB live, 51.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.028262279932632313	1160.1691315650248
11.0ms	-406.382724849824	-2.8163771291888864

Samples

17.0ms

240×

valid

Compiler

Compiled 163 to 132 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

const: 7.0ms (55.1% 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)

bsearch15.0ms (0.2%)

Memory

-6.0MiB live, 32.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.028262279932632313	1160.1691315650248

Samples

9.0ms

128×

valid

Compiler

Compiled 77 to 68 computations (11.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

const: 3.0ms (52.4% of total)

ival-sub: 1.0ms (17.5% of total)

ival-add: 1.0ms (17.5% of total)

ival-mult: 1.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Memory

-9.6MiB live, 29.3MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
32×	`+-commutative_binary64`
26×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	65	87
2	90	87
3	110	87
4	131	87
5	140	87
6	144	87
7	145	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (if (<=.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x))
#s(literal 1 binary64)

Outputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (if (<=.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
#s(literal 1 binary64)

soundness2.0s (22%)

Memory

37.3MiB live, 2 131.6MiB allocated

Rules

11 134×	`accelerator-lowering-fma.f32`
11 134×	`accelerator-lowering-fma.f64`
6 430×	`accelerator-lowering-fma.f32`
6 430×	`accelerator-lowering-fma.f64`
5 044×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	936
1	249	934
2	567	912
3	1168	912
4	2161	908
5	4973	908
0	8433	821
0	8	24
1	51	24
2	425	24
3	4315	24
0	8268	20
0	35	254
1	93	254
2	217	248
3	501	248
4	1018	248
5	2378	248
6	4091	248
7	5193	248
8	6489	248
9	7540	248
0	8012	215
0	116	1207
1	306	1199
2	697	1160
3	1541	1156
4	3622	1156
5	7271	1156
0	8145	1036

Stop Event

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

Compiler

Compiled 190 to 103 computations (45.8% saved)

preprocess46.0ms (0.5%)

Memory: 20.1MiB live, 101.9MiB allocated
Compiler: Compiled 224 to 86 computations (61.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.0s (11.1%)

preprocess63.0ms (0.7%)

explain110.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.3%)

localize29.0ms (0.3%)

series3.0ms (0%)

rewrite420.0ms (4.5%)

simplify275.0ms (3%)

eval100.0ms (1.1%)

prune86.0ms (0.9%)

simplify194.0ms (2.1%)

localize104.0ms (1.1%)

series11.0ms (0.1%)

rewrite750.0ms (8.1%)

simplify458.0ms (4.9%)

eval406.0ms (4.4%)

prune114.0ms (1.2%)

simplify318.0ms (3.4%)

localize181.0ms (1.9%)

series7.0ms (0.1%)

rewrite452.0ms (4.9%)

simplify595.0ms (6.4%)

eval81.0ms (0.9%)

prune64.0ms (0.7%)

simplify196.0ms (2.1%)

localize111.0ms (1.2%)

series5.0ms (0.1%)

rewrite438.0ms (4.7%)

simplify191.0ms (2.1%)

eval136.0ms (1.5%)

prune83.0ms (0.9%)

regimes22.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch27.0ms (0.3%)

bsearch29.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch15.0ms (0.2%)

simplify13.0ms (0.1%)

soundness2.0s (22%)

preprocess46.0ms (0.5%)

end0.0ms (0%)

Profiling