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)

sample1.1s (17.3%)

Results

886.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 613.0ms

...c/correct-round.rkt:119:19: 329.0ms (53.7% of total)

ival-mult: 169.0ms (27.6% of total)

ival-sub: 55.0ms (9% of total)

ival-add: 45.0ms (7.3% of total)

const: 11.0ms (1.8% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess187.0ms (2.9%)

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)

explain112.0ms (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

68.0ms

512×

valid

Compiler

Compiled 70 to 26 computations (62.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 16.0ms (53% of total)

ival-mult: 7.0ms (23.2% of total)

ival-sub: 3.0ms (9.9% of total)

ival-add: 3.0ms (9.9% of total)

const: 1.0ms (3.3% 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)

simplify58.0ms (0.9%)

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)

localize76.0ms (1.2%)

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	99.9%	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal 3/25 binary64))

Results

66.0ms

256×

valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

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

ival-mult: 26.0ms (52.9% of total)

...c/correct-round.rkt:119:19: 20.0ms (40.7% of total)

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

ival-add: 1.0ms (2% 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)

rewrite278.0ms (4.3%)

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)

simplify156.0ms (2.4%)

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))

eval44.0ms (0.7%)

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

prune26.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	229	6	235
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	229	7	236

Accuracy

100.0%

Counts

236 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))))
	99.9%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 64009/1000000 binary64) (.f64 (.f64 x x) #s(literal -9/625 binary64))) (/.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
▶	51.3%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
▶	52.0%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
▶	50.9%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	49.2%	#s(literal 1 binary64)

Compiler

Compiled 114 to 88 computations (22.8% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1280×	`fnmadd-define`
986×	`fma-define`
914×	`fmsub-define`
868×	`fnmsub-define`
820×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	43	67
2	84	65
3	208	65
4	472	65
5	936	65
6	1754	65
7	3188	65
8	3993	65
9	4083	65
0	4083	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize423.0ms (6.5%)

Localize:

Found 11 expressions of interest:

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

Results

396.0ms

256×

valid

Compiler

Compiled 81 to 18 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 301.0ms

ival-mult: 276.0ms (91.8% of total)

...c/correct-round.rkt:119:19: 15.0ms (5% of total)

ival-div: 4.0ms (1.3% of total)

ival-sub: 3.0ms (1% of total)

ival-add: 3.0ms (1% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

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

Calls

33 calls:

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

rewrite259.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3854×	`-lowering-.f32`
3854×	`-lowering-.f64`
2506×	`/-lowering-/.f32`
2506×	`/-lowering-/.f64`
1458×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	107	51
2	861	49
0	9046	49

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 452

Calls

Call 1

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

simplify235.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2064×	`-lowering-.f32`
2064×	`-lowering-.f64`
1856×	`+-lowering-+.f64`
1856×	`+-lowering-+.f32`
1300×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	688
1	290	613
2	722	578
3	1733	576
4	4569	576
0	8123	576

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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 (+ 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 (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 (- (* -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)

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

eval103.0ms (1.6%)

Compiler: Compiled 10716 to 1422 computations (86.7% saved)

prune61.0ms (0.9%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	602	5	607
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	604	10	614

Accuracy

100.0%

Counts

614 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.f64 (*.f64 x #s(literal -3/25 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	52.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))))
▶	98.3%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	51.3%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
▶	50.9%	(.f64 (.f64 x x) #s(literal -3/25 binary64))
✓	52.0%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	50.9%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
▶	4.0%	(*.f64 x #s(literal -253/1000 binary64))
✓	49.2%	#s(literal 1 binary64)

Compiler

Compiled 104 to 79 computations (24% saved)

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

1084×	`fnmadd-define`
862×	`fma-define`
790×	`sum3-define`
710×	`fmsub-define`
666×	`fnmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	38	63
2	65	63
3	129	63
4	199	63
5	287	62
6	423	62
7	555	62
8	717	62
9	1255	62
10	1484	62
11	2057	62
12	2889	62
13	3777	62
14	3838	62
15	3842	62
0	3842	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize114.0ms (1.8%)

Localize:

Found 13 expressions of interest:

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

Results

85.0ms

256×

valid

Compiler

Compiled 79 to 18 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 12.0ms (35.9% of total)

...c/correct-round.rkt:119:19: 11.0ms (32.9% of total)

ival-mult: 7.0ms (21% of total)

ival-sub: 1.0ms (3% of total)

ival-add: 1.0ms (3% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

12 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ x (/ 25/3 x))
1.0ms	x	@	0	(/ 1 (+ (* x -3/25) -253/1000))
0.0ms	x	@	0	(/ 25/3 x)
0.0ms	x	@	inf	(- 1 (/ x (/ 25/3 x)))
0.0ms	x	@	-inf	(/ 1 x)

rewrite261.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3368×	`-lowering-.f32`
3368×	`-lowering-.f64`
2642×	`/-lowering-/.f32`
2642×	`/-lowering-/.f64`
902×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	104	46
2	672	45
3	7097	45
0	8175	45

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 509

Calls

Call 1

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

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

simplify198.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2114×	`fma-lowering-fma.f32`
2114×	`fma-lowering-fma.f64`
1984×	`fmsub-define`
1894×	`fnmadd-define`
1888×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	640
1	249	560
2	635	558
3	1400	556
4	3770	556
0	8085	556

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval77.0ms (1.2%)

Compiler: Compiled 10434 to 1388 computations (86.7% saved)

prune64.0ms (1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	681	4	685
Fresh	0	0	0
Picked	4	1	5
Done	0	5	5
Total	685	10	695

Accuracy

100.0%

Counts

695 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.f64 (*.f64 x x) #s(literal -25/3 binary64))
✓	50.8%	(/.f64 (*.f64 x #s(literal -3/25 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	50.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) x)))
▶	50.8%	(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
▶	4.0%	(/.f64 x #s(literal -1000/253 binary64))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	51.3%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	52.0%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	50.9%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	49.2%	#s(literal 1 binary64)

Compiler

Compiled 64 to 48 computations (25% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

40×	`/-lowering-/.f32`
40×	`/-lowering-/.f64`
36×	`-lowering-.f32`
36×	`-lowering-.f64`
14×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	24	35
2	30	35
3	47	35
4	52	35
5	57	35
6	59	35
7	61	35
8	65	35
9	66	35
10	67	35
0	67	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize85.0ms (1.3%)

Localize:

Found 8 expressions of interest:

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

Results

70.0ms

256×

valid

Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions

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

ival-div: 16.0ms (52% of total)

...c/correct-round.rkt:119:19: 11.0ms (35.8% of total)

ival-mult: 4.0ms (13% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite554.0ms (8.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2452×	`-lowering-.f32`
2452×	`-lowering-.f64`
1682×	`/-lowering-/.f32`
1682×	`/-lowering-/.f64`
1440×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	67	26
2	230	26
3	880	26
4	5178	26
0	8053	26

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 1135

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1000/253 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1000/253 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1000/253 binary64)))
(neg.f64 (/.f64 x #s(literal 1000/253 binary64)))
(/.f64 x #s(literal -1000/253 binary64))
(/.f64 (/.f64 x #s(literal -1000/253 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1000/253 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1000/253 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1000/253 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal 1000/253 binary64) x))
(/.f64 #s(literal -253/1000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 253/1000 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x #s(literal 1000/253 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1000/253 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 1000/253 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x #s(literal 1000/253 binary64)) (/.f64 x #s(literal 1000/253 binary64))) (.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1000/253 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x #s(literal 1000/253 binary64)) (/.f64 x #s(literal 1000/253 binary64)))) (/.f64 x #s(literal 1000/253 binary64)))
(/.f64 (.f64 #s(literal 253/1000 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(/.f64 (.f64 #s(literal 253/1000 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 253/1000 binary64)) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 253/1000 binary64)) (.f64 x x))
(/.f64 (/.f64 #s(literal -253/1000 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 x #s(literal -1000/253 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1000/253 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1000/253 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1000/253 binary64) x) (/.f64 #s(literal -1000/253 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1000/253 binary64) x))) #s(literal -1 binary64))
(*.f64 x #s(literal -253/1000 binary64))
(*.f64 (/.f64 x #s(literal -1000/253 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1000/253 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1000/253 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 253/1000 binary64))
(*.f64 #s(literal -253/1000 binary64) x)
(*.f64 #s(literal 253/1000 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal 1000/253 binary64)) #s(literal -1 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -253/1000 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -1000/253 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1000/253 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1000/253 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1000/253 binary64) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1000/253 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -253/1000 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -25/3 binary64) (.f64 x x)))))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal -25/3 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 x #s(literal -25/3 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 (/.f64 x #s(literal -25/3 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 #s(literal -25/3 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))
(neg.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))
(/.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 1 binary64) (/.f64 (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64)) (/.f64 x (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -3/25 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal -25/3 binary64))
(/.f64 (*.f64 x x) #s(literal 25/3 binary64))
(/.f64 (.f64 x x) (.f64 (/.f64 #s(literal -25/3 binary64) x) x))
(/.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -25/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -25/3 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -25/3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 25/3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -25/3 binary64) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (/.f64 #s(literal -25/3 binary64) x)))
(/.f64 (/.f64 x #s(literal -25/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal -25/3 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 3/25 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 3/25 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal -25/3 binary64) x)) (*.f64 x (/.f64 #s(literal -1 binary64) x)))
(/.f64 (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 x (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x #s(literal -25/3 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 25/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal -25/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal -25/3 binary64) x) (.f64 x x)))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -15625/27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x x) #s(literal 625/9 binary64))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -15625/27 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x x) #s(literal 625/9 binary64))))
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(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`-lowering-.f32`
18×	`-lowering-.f64`
6×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	360
1	14	312
2	17	312
0	17	312

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

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

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

eval125.0ms (1.9%)

Compiler: Compiled 15239 to 1312 computations (91.4% saved)

prune75.0ms (1.2%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	1231	0	1231
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	1231	10	1241

Accuracy

100.0%

Counts

1241 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(/.f64 (*.f64 x x) #s(literal -25/3 binary64))
✓	50.8%	(/.f64 (*.f64 x #s(literal -3/25 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	50.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) x)))
✓	50.8%	(/.f64 x (/.f64 #s(literal -25/3 binary64) x))
✓	4.0%	(/.f64 x #s(literal -1000/253 binary64))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
✓	51.3%	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
✓	52.0%	(.f64 x (+.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64))))
✓	50.9%	(.f64 x (.f64 x #s(literal -3/25 binary64)))
✓	49.2%	#s(literal 1 binary64)

Compiler

Compiled 171 to 96 computations (43.9% saved)

regimes16.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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))))
5.0ms	x
4.0ms	(-.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

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

4.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	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 x #s(literal -253/1000 binary64))
(/.f64 x #s(literal -1000/253 binary64))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
50.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
49.2%	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
18.0ms	0.18975071841882268	126008459.02020957
20.0ms	-160293553.31117567	-0.0006460340543084757

Results

27.0ms

304×

valid

Compiler

Compiled 318 to 258 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

...c/correct-round.rkt:119:19: 10.0ms (56.9% of total)

ival-mult: 4.0ms (22.8% of total)

ival-sub: 2.0ms (11.4% of total)

ival-add: 2.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.18975071841882268	126008459.02020957
20.0ms	-160293553.31117567	-0.0006460340543084757

Results

29.0ms

304×

valid

Compiler

Compiled 280 to 220 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

...c/correct-round.rkt:119:19: 9.0ms (50.5% of total)

ival-mult: 5.0ms (28.1% of total)

ival-sub: 2.0ms (11.2% of total)

ival-add: 2.0ms (11.2% of total)

const: 1.0ms (5.6% of total)

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

bsearch43.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.18975071841882268	126008459.02020957
19.0ms	-160293553.31117567	-0.0006460340543084757

Results

27.0ms

304×

valid

Compiler

Compiled 204 to 163 computations (20.1% saved)

Precisions

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

...c/correct-round.rkt:119:19: 8.0ms (46% of total)

ival-mult: 6.0ms (34.5% of total)

ival-sub: 2.0ms (11.5% of total)

ival-add: 2.0ms (11.5% 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
19.0ms	0.18975071841882268	126008459.02020957
20.0ms	-160293553.31117567	-0.0006460340543084757

Results

29.0ms

304×

valid

Compiler

Compiled 204 to 163 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

...c/correct-round.rkt:119:19: 10.0ms (56.7% of total)

ival-mult: 4.0ms (22.7% of total)

ival-sub: 2.0ms (11.3% of total)

ival-add: 2.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.18975071841882268	126008459.02020957

Results

13.0ms

144×

valid

Compiler

Compiled 86 to 74 computations (14% saved)

Precisions

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

...c/correct-round.rkt:119:19: 5.0ms (56.9% of total)

ival-mult: 2.0ms (22.8% of total)

ival-sub: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	103
1	63	103
2	88	103
3	108	103
4	129	103
5	138	103
6	142	103
7	143	103

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 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 -2308094809027379/562949953421312 binary64)) (.f64 (.f64 x x) #s(literal -3/25 binary64)) (if (<=.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) (.f64 (.f64 x x) #s(literal -3/25 binary64)) (if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
#s(literal 1 binary64)

Outputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 25/3 binary64) x)))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 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 -2308094809027379/562949953421312 binary64)) (.f64 (.f64 x x) #s(literal -3/25 binary64)) (if (<=.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) (.f64 (.f64 x x) #s(literal -3/25 binary64)) (if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)) (if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal -2308094809027379/562949953421312 binary64)) (.f64 x (.f64 x #s(literal -3/25 binary64))) (if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))
#s(literal 1 binary64)

soundness1.3s (20.2%)

Rules

3854×	`-lowering-.f32`
3854×	`-lowering-.f64`
2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
2506×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	107	51
2	861	49
0	9046	49
0	8	24
1	51	21
2	442	20
3	4945	20
0	8097	20
0	96	688
1	290	613
2	722	578
3	1733	576
4	4569	576
0	8123	576
0	35	248
1	99	217
2	256	211
3	602	211
4	1438	211
5	4240	211
0	8146	211

Stop Event

1×	done
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 214 to 110 computations (48.6% saved)

preprocess44.0ms (0.7%)

Compiler: Compiled 248 to 86 computations (65.3% saved)

Iter	Nodes	Cost
0	13	38
1	24	35
2	30	35
3	47	35
4	52	35
5	57	35
6	59	35
7	61	35
8	65	35
9	66	35
10	67	35
0	67	35

Iter	Nodes	Cost
0	13	38
1	24	35
2	30	35
3	47	35
4	52	35
5	57	35
6	59	35
7	61	35
8	65	35
9	66	35
10	67	35
0	67	35

analyze0.0ms (0%)

sample1.1s (17.3%)

preprocess187.0ms (2.9%)

explain112.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (0.9%)

localize76.0ms (1.2%)

series3.0ms (0%)

rewrite278.0ms (4.3%)

simplify156.0ms (2.4%)

eval44.0ms (0.7%)

prune26.0ms (0.4%)

simplify69.0ms (1.1%)

localize423.0ms (6.5%)

series5.0ms (0.1%)

rewrite259.0ms (4%)

simplify235.0ms (3.6%)

eval103.0ms (1.6%)

prune61.0ms (0.9%)

simplify93.0ms (1.4%)

localize114.0ms (1.8%)

series7.0ms (0.1%)

rewrite261.0ms (4%)

simplify198.0ms (3%)

eval77.0ms (1.2%)

prune64.0ms (1%)

simplify20.0ms (0.3%)

localize85.0ms (1.3%)

series2.0ms (0%)

rewrite554.0ms (8.5%)

simplify16.0ms (0.3%)

eval125.0ms (1.9%)

prune75.0ms (1.2%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch42.0ms (0.6%)

bsearch44.0ms (0.7%)

bsearch43.0ms (0.7%)

bsearch42.0ms (0.6%)

bsearch20.0ms (0.3%)

simplify13.0ms (0.2%)

soundness1.3s (20.2%)

preprocess44.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	38
1	24	35
2	30	35
3	47	35
4	52	35
5	57	35
6	59	35
7	61	35
8	65	35
9	66	35
10	67	35
0	67	35