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

analyze0.0ms (0%)

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 9 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.7s (22.2%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 410.0ms (34.8% of total)

...c/correct-round.rkt:119:19: 393.0ms (33.4% of total)

ival-add: 316.0ms (26.8% of total)

ival-sub: 44.0ms (3.7% of total)

const: 12.0ms (1% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess122.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

1378×	`fnmadd-define`
1002×	`fmsub-define`
996×	`fnmsub-define`
886×	`fma-define`
804×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	52	24
2	175	22
3	566	21
4	1788	21
5	3637	21
6	4247	21
7	4560	21
8	4585	21
0	8	9
1	24	8
2	67	7
3	162	7
4	368	7
5	696	7
6	1084	7
7	2255	7
8	2793	7
9	2873	7
0	2873	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 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 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))))
(fnmsub x (fnmsub x -3/25 -253/1000) -1)
(- 1 (* (neg x) (+ 253/1000 (* (neg x) 3/25))))
(fnmsub x (fnmsub x -3/25 253/1000) -1)
(neg (- 1 (* (neg x) (+ 253/1000 (* (neg x) 3/25)))))
(fnmsub x (fnmsub x 3/25 -253/1000) 1)

explain131.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

96.0ms

512×

valid

Compiler

Compiled 70 to 26 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

...c/correct-round.rkt:119:19: 16.0ms (51.6% of total)

ival-mult: 8.0ms (25.8% of total)

ival-sub: 3.0ms (9.7% of total)

ival-add: 3.0ms (9.7% of total)

const: 1.0ms (3.2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

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)

simplify57.0ms (0.8%)

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

804×	`fnmadd-define`
654×	`fmsub-define`
622×	`fnmsub-define`
608×	`fma-lowering-fma.f32`
608×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	24	25
2	67	24
3	162	24
4	368	24
5	696	24
6	1084	24
7	2255	24
8	2793	24
9	2873	24
0	2873	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 (.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 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)

localize48.0ms (0.6%)

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))

Results

33.0ms

256×

valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

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

...c/correct-round.rkt:119:19: 8.0ms (54.4% of total)

ival-mult: 4.0ms (27.2% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

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)

rewrite233.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
1688×	`/-lowering-/.f32`
1688×	`/-lowering-/.f64`
1520×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	51	21
2	442	20
3	4945	20
0	8097	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 187

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

simplify172.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1516×	`fmsub-define`
1508×	`fnmsub-define`
1496×	`fma-lowering-fma.f32`
1496×	`fma-lowering-fma.f64`
1348×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	248
1	99	217
2	256	211
3	602	211
4	1438	211
5	4240	211
0	8146	211

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))

eval40.0ms (0.5%)

Compiler: Compiled 7019 to 692 computations (90.1% saved)

prune31.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	225	10	235
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	225	11	236

Accuracy

100.0%

Counts

236 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.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))))))
▶	99.9%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
	63.1%	(-.f64 #s(literal 1 binary64) (/.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 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))))))
▶	99.8%	(-.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))))))
	99.8%	(-.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))))))
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.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))))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
▶	51.4%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	51.6%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	50.6%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	49.7%	#s(literal 1 binary64)

Compiler

Compiled 250 to 190 computations (24% saved)

simplify197.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

2472×	`fnmadd-define`
1918×	`fmsub-define`
1872×	`fnmsub-define`
1716×	`fma-lowering-fma.f32`
1716×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	64	130
2	164	125
3	411	125
4	889	125
5	2057	125
6	4236	125
7	6872	125
8	7352	125
9	7550	125
10	7608	125
11	7621	125
0	8353	125

Stop Event

1×	iter limit
1×	node limit

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

localize191.0ms (2.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (/.f64 (+.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)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -9/625 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	75.4%	(/.f64 (+.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))))
✓	accuracy	100.0%	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	accuracy	99.7%	(/.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))
✓	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	99.7%	(.f64 x (.f64 x #s(literal 3/25 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 3/25 binary64))

Results

137.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 160 to 26 computations (83.8% saved)

Precisions

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

...c/correct-round.rkt:119:19: 19.0ms (39.7% of total)

ival-mult: 13.0ms (27.1% of total)

ival-sub: 6.0ms (12.5% of total)

ival-div: 5.0ms (10.4% of total)

ival-add: 4.0ms (8.3% of total)

backward-pass: 1.0ms (2.1% of total)

const: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts

16 → 192

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

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

Calls

48 calls:

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

rewrite301.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3822×	`-lowering-.f32`
3822×	`-lowering-.f64`
2494×	`/-lowering-/.f32`
2494×	`/-lowering-/.f64`
2222×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	115
1	177	100
2	1651	95
0	8254	95

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 383

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

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

simplify195.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2190×	`-lowering-.f32`
2190×	`-lowering-.f64`
1888×	`+-lowering-+.f64`
1888×	`+-lowering-+.f32`
1266×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1046
1	309	888
2	742	868
3	1759	866
4	4652	866
0	8245	866

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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))
(* 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))))
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)))))
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)))
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)))
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 (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)))

eval94.0ms (1.3%)

Compiler: Compiled 12795 to 1163 computations (90.9% saved)

prune53.0ms (0.7%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	597	9	606
Fresh	2	3	5
Picked	2	3	5
Done	0	1	1
Total	601	16	617

Accuracy

100.0%

Counts

617 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.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))))))
▶	99.9%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 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)))
	51.6%	(-.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
▶	98.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)))
	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.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))))))
	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
▶	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x 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)))))
	98.9%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (.f64 x (.f64 x #s(literal -9/625 binary64))) (+.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)))))
✓	51.4%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
▶	51.6%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	50.6%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	3.7%	(*.f64 #s(literal -253/1000 binary64) x)
✓	49.7%	#s(literal 1 binary64)

Compiler

Compiled 314 to 234 computations (25.5% saved)

simplify147.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)
✓	cost-diff	0	(/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)))
✓	cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 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 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 3/25 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64)))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))

Rules

2574×	`fnmadd-define`
1568×	`fnmsub-define`
1340×	`fmsub-define`
1316×	`fma-lowering-fma.f32`
1316×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	111
1	66	104
2	147	102
3	378	101
4	858	101
5	2066	101
6	4691	101
7	6073	101
8	7169	101
0	8030	101

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (- 1 (* (* x x) 3/25)) (* x 253/1000))
(- 1 (* (* x x) 3/25))
1
(* (* x x) 3/25)
(* x x)
x
3/25
(* x 253/1000)
253/1000
(* -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 (/ x (/ 1 (* x 3/25))))
1
(/ x (/ 1 (* x 3/25)))
x
(/ 1 (* x 3/25))
(* x 3/25)
3/25
(- 1 (/ x (/ (+ 25/3 (/ -1265/72 x)) x)))
1
(/ x (/ (+ 25/3 (/ -1265/72 x)) x))
x
(/ (+ 25/3 (/ -1265/72 x)) x)
(+ 25/3 (/ -1265/72 x))
25/3
(/ -1265/72 x)
-1265/72

Outputs
(- (- 1 (* (* x x) 3/25)) (* x 253/1000))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -253/1000 binary64) (/.f64 x #s(literal -25/3 binary64)))))
(- 1 (* (* x x) 3/25))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))
1
#s(literal 1 binary64)
(* (* x x) 3/25)
(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
(* x x)
(*.f64 x x)
x
3/25
#s(literal 3/25 binary64)
(* x 253/1000)
(*.f64 x #s(literal 253/1000 binary64))
253/1000
#s(literal 253/1000 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 -25/3 binary64))))
x
(+ -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)
(- 1 (/ x (/ 1 (* x 3/25))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))
1
#s(literal 1 binary64)
(/ x (/ 1 (* x 3/25)))
(/.f64 x (/.f64 #s(literal 25/3 binary64) x))
x
(/ 1 (* x 3/25))
(/.f64 #s(literal 25/3 binary64) x)
(* x 3/25)
(/.f64 x #s(literal 25/3 binary64))
3/25
#s(literal 3/25 binary64)
(- 1 (/ x (/ (+ 25/3 (/ -1265/72 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) x)))
1
#s(literal 1 binary64)
(/ x (/ (+ 25/3 (/ -1265/72 x)) x))
(/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x))
x
(/ (+ 25/3 (/ -1265/72 x)) x)
(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)
(+ 25/3 (/ -1265/72 x))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
25/3
#s(literal 25/3 binary64)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
-1265/72
#s(literal -1265/72 binary64)

localize159.0ms (2.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
✓	accuracy	99.8%	(/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x))
✓	accuracy	99.5%	(/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)
✓	accuracy	99.2%	(/.f64 #s(literal -1265/72 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓	accuracy	99.5%	(*.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))
✓	accuracy	99.9%	(*.f64 #s(literal -253/1000 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 253/1000 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 3/25 binary64))

Results

122.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 124 to 27 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

...c/correct-round.rkt:119:19: 29.0ms (44.4% of total)

ival-mult: 18.0ms (27.5% of total)

ival-div: 9.0ms (13.8% of total)

ival-sub: 6.0ms (9.2% of total)

ival-add: 2.0ms (3.1% of total)

backward-pass: 0.0ms (0% of total)

const: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

18 → 216

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 x)>
#<alt (* -253/1000 x)>
#<alt (* x (+ -253/1000 (* x -3/25)))>
#<alt (+ -253/1000 (* x -3/25))>
#<alt (* x -3/25)>
#<alt (/ 1 (* x 3/25))>
#<alt (- 1 (/ x (/ 1 (* x 3/25))))>
#<alt (/ x (/ 1 (* x 3/25)))>
#<alt (* x 3/25)>
#<alt (- 1 (/ x (/ (+ 25/3 (/ -1265/72 x)) x)))>
#<alt (/ x (/ (+ 25/3 (/ -1265/72 x)) x))>
#<alt (/ (+ 25/3 (/ -1265/72 x)) x)>
#<alt (+ 25/3 (/ -1265/72 x))>
#<alt (* x 253/1000)>
#<alt (/ -1265/72 x)>

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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -253/1000 x)>
#<alt (* -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 (/ 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 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 (* 72/1265 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (+ 72/1265 (* 1728/64009 x))))>
#<alt (+ 1 (* (pow x 3) (+ 72/1265 (* x (+ 1728/64009 (* 207360/16194277 x))))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (* 55991/120000 (/ 1 x))) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (- 55991/120000 (* 16194277/14400000 (/ 1 x))) x))) x)) 3/25))>
#<alt (* -72/1265 (pow x 3))>
#<alt (* (pow x 3) (- (* -1728/64009 x) 72/1265))>
#<alt (* (pow x 3) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))>
#<alt (* (pow x 3) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))>
#<alt (/ -1265/72 (pow x 2))>
#<alt (/ (- (* 25/3 x) 1265/72) (pow x 2))>
#<alt (/ (- (* 25/3 x) 1265/72) (pow x 2))>
#<alt (/ (- (* 25/3 x) 1265/72) (pow x 2))>
#<alt (/ 25/3 x)>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) x)>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) x)>
#<alt (/ (- 25/3 (* 1265/72 (/ 1 x))) x)>
#<alt (/ 25/3 x)>
#<alt (* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x))>
#<alt (* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x))>
#<alt (* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x))>
#<alt (/ -1265/72 x)>
#<alt (/ (- (* 25/3 x) 1265/72) x)>
#<alt (/ (- (* 25/3 x) 1265/72) x)>
#<alt (/ (- (* 25/3 x) 1265/72) x)>
#<alt 25/3>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt 25/3>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt (- 25/3 (* 1265/72 (/ 1 x)))>
#<alt (- 25/3 (* 1265/72 (/ 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 (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>
#<alt (/ -1265/72 x)>

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ (+ 25/3 (/ -1265/72 x)) x)
0.0ms	x	@	0	(/ (+ 25/3 (/ -1265/72 x)) x)
0.0ms	x	@	-inf	(* x (+ -253/1000 (* x -3/25)))
0.0ms	x	@	inf	(- 1 (/ x (/ (+ 25/3 (/ -1265/72 x)) x)))
0.0ms	x	@	0	(/ -1265/72 x)

rewrite311.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3842×	`-lowering-.f32`
3842×	`-lowering-.f64`
3452×	`/-lowering-/.f32`
3452×	`/-lowering-/.f64`
2050×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	95
1	171	88
2	1507	86
0	8475	86

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 440

Calls

Call 1

Inputs
(- (- 1 (* (* x x) 3/25)) (* x 253/1000))
(- 1 (* (* x x) 3/25))
(* (* x x) 3/25)
(* x x)
(* -253/1000 x)
(* x (+ -253/1000 (* x -3/25)))
(+ -253/1000 (* x -3/25))
(* x -3/25)
(/ 1 (* x 3/25))
(- 1 (/ x (/ 1 (* x 3/25))))
(/ x (/ 1 (* x 3/25)))
(* x 3/25)
(- 1 (/ x (/ (+ 25/3 (/ -1265/72 x)) x)))
(/ x (/ (+ 25/3 (/ -1265/72 x)) x))
(/ (+ 25/3 (/ -1265/72 x)) x)
(+ 25/3 (/ -1265/72 x))
(* x 253/1000)
(/ -1265/72 x)

Outputs
(+.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 x (+.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 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))) (fma.f64 #s(literal -253/1000 binary64) x (*.f64 x #s(literal 253/1000 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 253/1000 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 #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 #s(literal 25/3 binary64) x)) (*.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 (.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 (.f64 x (.f64 x x)) #s(literal 16194277/1000000000 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 (.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))))))
(fma.f64 x #s(literal -253/1000 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 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 #s(literal -253/1000 binary64) x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 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) 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 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 #s(literal 25/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))))) (.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 #s(literal 25/3 binary64) x)))) (*.f64 x #s(literal -253/1000 binary64)))
(/.f64 #s(literal 1 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 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 #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 -16194277/1000000000 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (.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) (neg.f64 (/.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 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 #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 -16194277/1000000000 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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 (.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 (.f64 (+.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 (+.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 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64))))
(/.f64 (neg.f64 (.f64 (+.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)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (.f64 (+.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)))))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))))
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(.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal 1600225/5184 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(+.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64))
(-.f64 (/.f64 #s(literal 625/9 binary64) (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))) (/.f64 (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x)) (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64))
(fma.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 25/3 binary64))
(fma.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 25/3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1265/72 binary64) #s(literal 25/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 625/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64)) (/.f64 x #s(literal -1265/72 binary64)))) (+.f64 #s(literal 15625/27 binary64) (/.f64 #s(literal -2024284625/373248 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 625/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64)) (/.f64 x #s(literal -1265/72 binary64)))) (+.f64 #s(literal 15625/27 binary64) (/.f64 #s(literal -2024284625/373248 binary64) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 15625/27 binary64) (/.f64 #s(literal -2024284625/373248 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 625/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64)) (/.f64 x #s(literal -1265/72 binary64)))))
(/.f64 (+.f64 #s(literal 15625/27 binary64) (/.f64 #s(literal -2024284625/373248 binary64) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x)) (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal -31625/216 binary64) x))))
(/.f64 (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x))) (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 15625/27 binary64) (/.f64 #s(literal -2024284625/373248 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 625/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64)) (/.f64 x #s(literal -1265/72 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 15625/27 binary64) (/.f64 #s(literal -2024284625/373248 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x)) (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal -31625/216 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x)) #s(literal 625/9 binary64)) (-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 625/9 binary64) (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))) (.f64 (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (/.f64 #s(literal 1600225/5184 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 15625/27 binary64) (/.f64 #s(literal -2024284625/373248 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 625/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64)) (/.f64 x #s(literal -1265/72 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x)) #s(literal 625/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 625/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64)) (/.f64 x #s(literal -1265/72 binary64)))) (+.f64 #s(literal 15625/27 binary64) (/.f64 #s(literal -2024284625/373248 binary64) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 15625/27 binary64) (/.f64 #s(literal -2024284625/373248 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 625/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1265/72 binary64) x) #s(literal 25/3 binary64)) (/.f64 x #s(literal -1265/72 binary64))))))
(.f64 (-.f64 #s(literal 625/9 binary64) (/.f64 #s(literal 1600225/5184 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))))
(*.f64 x #s(literal 253/1000 binary64))
(*.f64 #s(literal 253/1000 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -1265/72 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1265/72 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1265/72 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -1265/72 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(literal -1265/72 binary64)))))
(/.f64 #s(literal -1265/72 binary64) x)
(/.f64 #s(literal -1265/72 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1265/72 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x #s(literal -1265/72 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1265/72 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1265/72 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(pow.f64 (/.f64 x #s(literal -1265/72 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal -1265/72 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(*.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1265/72 binary64))

simplify211.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
1742×	`+-lowering-+.f64`
1742×	`+-lowering-+.f32`
1084×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1164
1	387	1019
2	1129	951
3	3114	926
4	7641	926
0	8185	926

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -253/1000 x)
(* -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)
(/ 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)
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 (* 72/1265 (pow x 3)))
(+ 1 (* (pow x 3) (+ 72/1265 (* 1728/64009 x))))
(+ 1 (* (pow x 3) (+ 72/1265 (* x (+ 1728/64009 (* 207360/16194277 x))))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 55991/120000 (pow x 2)) (+ 3/25 (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (* 55991/120000 (/ 1 x))) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (- 55991/120000 (* 16194277/14400000 (/ 1 x))) x))) x)) 3/25))
(* -72/1265 (pow x 3))
(* (pow x 3) (- (* -1728/64009 x) 72/1265))
(* (pow x 3) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))
(* (pow x 3) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(* (pow x 2) (+ 3/25 (* -1 (/ (- (* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x)) 253/1000) x))))
(/ -1265/72 (pow x 2))
(/ (- (* 25/3 x) 1265/72) (pow x 2))
(/ (- (* 25/3 x) 1265/72) (pow x 2))
(/ (- (* 25/3 x) 1265/72) (pow x 2))
(/ 25/3 x)
(/ (- 25/3 (* 1265/72 (/ 1 x))) x)
(/ (- 25/3 (* 1265/72 (/ 1 x))) x)
(/ (- 25/3 (* 1265/72 (/ 1 x))) x)
(/ 25/3 x)
(* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x))
(* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x))
(* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x))
(/ -1265/72 x)
(/ (- (* 25/3 x) 1265/72) x)
(/ (- (* 25/3 x) 1265/72) x)
(/ (- (* 25/3 x) 1265/72) x)
25/3
(- 25/3 (* 1265/72 (/ 1 x)))
(- 25/3 (* 1265/72 (/ 1 x)))
(- 25/3 (* 1265/72 (/ 1 x)))
25/3
(- 25/3 (* 1265/72 (/ 1 x)))
(- 25/3 (* 1265/72 (/ 1 x)))
(- 25/3 (* 1265/72 (/ 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)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 x)
(/ -1265/72 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 #s(literal -3/25 binary64) (.f64 x x))
(* -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 #s(literal -3/25 binary64) (.f64 x x))
(* -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 #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 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(* 3/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
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(* 253/1000 x)
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(* 253/1000 x)
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(* 253/1000 x)
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(* 253/1000 x)
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(* 253/1000 x)
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(/.f64 #s(literal -1265/72 binary64) x)
(/ -1265/72 x)
(/.f64 #s(literal -1265/72 binary64) x)
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(/ -1265/72 x)
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eval72.0ms (1%)

Compiler: Compiled 10822 to 1312 computations (87.9% saved)

prune74.0ms (1%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	651	5	656
Fresh	4	3	7
Picked	1	4	5
Done	0	4	4
Total	656	16	672

Accuracy

100.0%

Counts

672 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.7%	(/.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)))
	51.5%	(-.f64 (*.f64 x #s(literal -253/1000 binary64)) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
▶	98.5%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
✓	98.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)))
▶	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.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))))))
▶	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 25/3 binary64) x) x)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	51.4%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	51.6%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
	50.6%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	50.5%	(.f64 #s(literal -3/25 binary64) (.f64 x x))
✓	3.7%	(*.f64 #s(literal -253/1000 binary64) x)
✓	49.7%	#s(literal 1 binary64)

Compiler

Compiled 232 to 171 computations (26.3% saved)

simplify147.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 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 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) 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)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -3/25 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))
✓	cost-diff	0	(/.f64 (+.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))))
✓	cost-diff	0	(/.f64 x (/.f64 (+.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)))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.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))))))

Rules

2180×	`fnmadd-define`
1524×	`fmsub-define`
1368×	`fmm-def`
1320×	`fnmsub-define`
1302×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	161
1	72	144
2	167	141
3	457	141
4	1420	141
5	3986	141
0	8182	141

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize233.0ms (3.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 9/625 binary64))
✓	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	91.8%	(/.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) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
✓	accuracy	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64)))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) 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)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal -3/25 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -9/625 binary64))
✓	accuracy	99.7%	(/.f64 x (/.f64 (+.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)))))
✓	accuracy	99.5%	(*.f64 x #s(literal -3/25 binary64))
✓	accuracy	74.3%	(/.f64 (+.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))))

Results

189.0ms

256×

valid

Compiler

Compiled 183 to 33 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

...c/correct-round.rkt:119:19: 31.0ms (45.8% of total)

ival-div: 14.0ms (20.7% of total)

ival-mult: 14.0ms (20.7% of total)

ival-sub: 5.0ms (7.4% of total)

ival-add: 4.0ms (5.9% of total)

const: 1.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

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

60 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (- 64009/1000000 (* (* x x) 9/625)) x)
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	@	inf	(* (* x x) 9/625)
0.0ms	x	@	0	(* -3/25 (* x x))

rewrite349.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4450×	`-lowering-.f32`
4450×	`-lowering-.f64`
3090×	`/-lowering-/.f32`
3090×	`/-lowering-/.f64`
2194×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	127
1	209	93
2	1873	90
0	8729	90

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 426

Calls

Call 1

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

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

simplify200.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2076×	`-lowering-.f32`
2076×	`-lowering-.f64`
1470×	`--lowering--.f32`
1470×	`--lowering--.f64`
1346×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1245
1	340	1030
2	848	1028
3	2163	1004
4	6191	1004
0	8201	1004

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

eval102.0ms (1.4%)

Compiler: Compiled 11098 to 1294 computations (88.3% saved)

prune61.0ms (0.8%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	710	8	718
Fresh	2	1	3
Picked	3	2	5
Done	1	7	8
Total	716	18	734

Accuracy

100.0%

Counts

734 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
	50.5%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x 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)))
	51.5%	(-.f64 (*.f64 x #s(literal -253/1000 binary64)) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	98.5%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
✓	98.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)))
	59.2%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x #s(literal -3/25 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (.f64 (*.f64 x x) #s(literal -9/625 binary64))))))
✓	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 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)))))
✓	51.4%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
	50.6%	(.f64 (.f64 x #s(literal -3/25 binary64)) x)
	50.5%	(*.f64 (neg.f64 (/.f64 x #s(literal 25/3 binary64))) x)
	51.5%	(*.f64 x (-.f64 #s(literal -253/1000 binary64) (/.f64 x #s(literal 25/3 binary64))))
	50.5%	(*.f64 #s(literal -3/25 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	50.5%	(*.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
✓	50.5%	(.f64 #s(literal -3/25 binary64) (.f64 x x))
✓	3.7%	(*.f64 #s(literal -253/1000 binary64) x)
✓	49.7%	#s(literal 1 binary64)

Compiler

Compiled 484 to 231 computations (52.3% saved)

regimes29.0ms (0.4%)

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -253/1000 binary64) x)
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x #s(literal -3/25 binary64)) x)
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
(*.f64 (neg.f64 (/.f64 x #s(literal 25/3 binary64))) x)
(*.f64 #s(literal -3/25 binary64) (/.f64 x (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x)))
(*.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 25/3 binary64) x) x)))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
(-.f64 (*.f64 x #s(literal -253/1000 binary64)) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(-.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 #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 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) x)))
(-.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)))
(/.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 x (/.f64 (.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 x (/.f64 (.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 #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 x (/.f64 (+.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 #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 x (/.f64 (+.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 #s(literal 1 binary64) (/.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 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x 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)))))

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

Calls

3 calls:

10.0ms	x
9.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
8.0ms	(-.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)

regimes20.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -253/1000 binary64) x)
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x #s(literal -3/25 binary64)) x)
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
(*.f64 (neg.f64 (/.f64 x #s(literal 25/3 binary64))) x)
(*.f64 #s(literal -3/25 binary64) (/.f64 x (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x)))
(*.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 25/3 binary64) x) x)))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/25 binary64))))
(-.f64 (*.f64 x #s(literal -253/1000 binary64)) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(-.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 #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 (+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x)) 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:

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

regimes5.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -253/1000 binary64) x)
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x #s(literal -3/25 binary64)) x)
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
(*.f64 (neg.f64 (/.f64 x #s(literal 25/3 binary64))) x)
(*.f64 #s(literal -3/25 binary64) (/.f64 x (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 25/3 binary64) (*.f64 x x)))
(*.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) 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
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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:

5.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -30.4b remaining (-94.3%)

Threshold costs -30.4b (-94.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
49.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch42.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.553070242342735e-8	943.0873923284815
19.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

29.0ms

304×

valid

Compiler

Compiled 318 to 258 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

...c/correct-round.rkt:119:19: 8.0ms (48.4% of total)

ival-mult: 4.0ms (24.2% of total)

ival-sub: 2.0ms (12.1% of total)

ival-add: 2.0ms (12.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.553070242342735e-8	943.0873923284815
19.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

28.0ms

304×

valid

Compiler

Compiled 280 to 220 computations (21.4% saved)

Precisions

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

...c/correct-round.rkt:119:19: 10.0ms (52.1% of total)

ival-mult: 6.0ms (31.3% of total)

ival-sub: 2.0ms (10.4% of total)

ival-add: 2.0ms (10.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.553070242342735e-8	943.0873923284815
21.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

30.0ms

304×

valid

Compiler

Compiled 204 to 163 computations (20.1% saved)

Precisions

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

ival-mult: 9.0ms (43.9% of total)

...c/correct-round.rkt:119:19: 8.0ms (39% of total)

ival-sub: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.553070242342735e-8	943.0873923284815
31.0ms	-1139.4333277093995	-4.2103990395837493e-7

Results

39.0ms

304×

valid

Compiler

Compiled 204 to 163 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 17.0ms (57.5% of total)

...c/correct-round.rkt:119:19: 9.0ms (30.4% of total)

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

ival-sub: 1.0ms (3.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
36×	`+-commutative_binary64`
32×	`sub-neg_binary64`
22×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	70	106
2	105	106
3	133	106
4	152	106
5	160	106
6	162	106

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (21.2%)

Rules

3822×	`-lowering-.f32`
3822×	`-lowering-.f64`
2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
2808×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1164
1	387	1019
2	1129	951
3	3114	926
4	7641	926
0	8185	926
0	35	248
1	99	217
2	256	211
3	602	211
4	1438	211
5	4240	211
0	8146	211
0	106	1046
1	309	888
2	742	868
3	1759	866
4	4652	866
0	8245	866
0	8	24
1	51	21
2	442	20
3	4945	20
0	8097	20
0	25	115
1	177	100
2	1651	95
0	8254	95

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
1×	iter limit
1×	node limit

Compiler

Compiled 277 to 156 computations (43.7% saved)

preprocess45.0ms (0.6%)

Compiler: Compiled 254 to 88 computations (65.4% saved)

analyze0.0ms (0%)

sample1.7s (22.2%)

preprocess122.0ms (1.6%)

explain131.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify57.0ms (0.8%)

localize48.0ms (0.6%)

series3.0ms (0%)

rewrite233.0ms (3.1%)

simplify172.0ms (2.3%)

eval40.0ms (0.5%)

prune31.0ms (0.4%)

simplify197.0ms (2.6%)

localize191.0ms (2.5%)

series9.0ms (0.1%)

rewrite301.0ms (4%)

simplify195.0ms (2.6%)

eval94.0ms (1.3%)

prune53.0ms (0.7%)

simplify147.0ms (1.9%)

localize159.0ms (2.1%)

series7.0ms (0.1%)

rewrite311.0ms (4.1%)

simplify211.0ms (2.8%)

eval72.0ms (1%)

prune74.0ms (1%)

simplify147.0ms (2%)

localize233.0ms (3.1%)

series8.0ms (0.1%)

rewrite349.0ms (4.6%)

simplify200.0ms (2.7%)

eval102.0ms (1.4%)

prune61.0ms (0.8%)

regimes29.0ms (0.4%)

regimes20.0ms (0.3%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch42.0ms (0.6%)

bsearch42.0ms (0.6%)

bsearch43.0ms (0.6%)

bsearch53.0ms (0.7%)

simplify14.0ms (0.2%)

soundness1.6s (21.2%)

preprocess45.0ms (0.6%)

end0.0ms (0%)

Profiling