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

analyze7.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 19 to 15 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

...c/correct-round.rkt:119:19: 2.0ms (49.7% of total)

ival-add: 1.0ms (24.9% of total)

ival-mult: 1.0ms (24.9% of total)

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

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

const: 0.0ms (0% of total)

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

sample1.7s (28.9%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

...c/correct-round.rkt:119:19: 520.0ms (50.4% of total)

ival-mult: 224.0ms (21.7% of total)

ival-add: 157.0ms (15.2% of total)

ival-div: 68.0ms (6.6% of total)

ival-sub: 47.0ms (4.6% of total)

const: 11.0ms (1.1% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess197.0ms (3.4%)

Algorithm

2×	egg-herbie

Rules

3032×	`sum5-define`
1924×	`sum4-define`
1862×	`sum4-define`
1782×	`sum3-define`
1498×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	62	43
2	203	43
3	536	42
4	1448	42
5	3371	42
6	6094	42
7	7857	42
0	14	17
1	30	14
2	63	14
3	89	14
4	108	14
5	144	14
6	228	14
7	460	14
8	1240	14
9	3626	14
10	5551	14
11	6535	14
12	7439	14
0	8143	14

Stop Event

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

Calls

Call 1

Inputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)

Outputs

(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)

(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)

Call 2

Inputs

(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)

(- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))

(neg (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))

Outputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(- (/ (fma x 27061/100000 230753/100000) (fma x (fnmsub x -4481/100000 -99229/100000) 1)) x)
(- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))
(+ x (/ (fnmsub x 27061/100000 -230753/100000) (fnmsub x (fnmsub x 4481/100000 -99229/100000) -1)))
(neg (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))
(- (/ (fnmsub x 27061/100000 -230753/100000) (fnmsub x (fnmsub x -4481/100000 99229/100000) 1)) x)

explain239.0ms (4.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
69	-	-	`(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))`
0	-	-	`x`
0	-	-	`#s(literal 230753/100000 binary64)`
0	-	-	`#s(literal 4481/100000 binary64)`
0	-	-	`#s(literal 27061/100000 binary64)`
0	-	-	`(.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))`
0	-	-	`(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))`
0	-	-	`(*.f64 x #s(literal 27061/100000 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64)))))`
0	-	-	`(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))`
0	-	-	`(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)`
0	-	-	`#s(literal 99229/100000 binary64)`
0	-	-	`(*.f64 x #s(literal 4481/100000 binary64))`

Results

149.0ms

512×

valid

Compiler

Compiled 162 to 44 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

...c/correct-round.rkt:119:19: 29.0ms (52.5% of total)

ival-mult: 11.0ms (19.9% of total)

ival-add: 7.0ms (12.7% of total)

ival-div: 4.0ms (7.2% of total)

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

const: 1.0ms (1.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 18 to 14 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)

Status

Accuracy

Program

▶

100.0%

(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify114.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 27061/100000 binary64))
✓	cost-diff	(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
✓	cost-diff	(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
✓	cost-diff	(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)

Rules

3032×	`sum5-define`
1924×	`sum4-define`
1782×	`sum3-define`
830×	`fnmadd-define`
632×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	30	59
2	63	59
3	89	59
4	108	59
5	144	59
6	228	59
7	460	59
8	1240	59
9	3626	59
10	5551	59
11	6535	59
12	7439	59
0	8143	59

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
230753/100000
(* x 27061/100000)
x
27061/100000
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
1
(* x (+ 99229/100000 (* x 4481/100000)))
(+ 99229/100000 (* x 4481/100000))
99229/100000
(* x 4481/100000)
4481/100000

Outputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(+ 230753/100000 (* x 27061/100000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x 27061/100000)
(*.f64 x #s(literal 27061/100000 binary64))
x
27061/100000
#s(literal 27061/100000 binary64)
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64)))))
1
#s(literal 1 binary64)
(* x (+ 99229/100000 (* x 4481/100000)))
(.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))
(+ 99229/100000 (* x 4481/100000))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
99229/100000
#s(literal 99229/100000 binary64)
(* x 4481/100000)
(*.f64 x #s(literal 4481/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)

localize85.0ms (1.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 4481/100000 binary64))
✓	accuracy	99.3%	(*.f64 x #s(literal 27061/100000 binary64))
✓	accuracy	74.6%	(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))

Results

67.0ms

256×

valid

Compiler

Compiled 72 to 15 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

...c/correct-round.rkt:119:19: 15.0ms (42.3% of total)

ival-sub: 9.0ms (25.4% of total)

ival-mult: 5.0ms (14.1% of total)

ival-add: 4.0ms (11.3% of total)

ival-div: 2.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))>
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (* x 27061/100000)>
#<alt (* x 4481/100000)>
#<alt (* x (+ 99229/100000 (* x 4481/100000)))>

Outputs
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x 27061/100000)
1.0ms	x	@	-inf	(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
0.0ms	x	@	inf	(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
0.0ms	x	@	0	(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
0.0ms	x	@	inf	(* x (+ 99229/100000 (* x 4481/100000)))

rewrite352.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5238×	`-lowering-.f32`
5238×	`-lowering-.f64`
3362×	`/-lowering-/.f32`
3362×	`/-lowering-/.f64`
2028×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	90	42
2	854	42
0	8802	42

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 268

Calls

Call 1

Inputs
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
(* x 27061/100000)
(* x 4481/100000)
(* x (+ 99229/100000 (* x 4481/100000)))

Outputs
(+.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))) (+.f64 (.f64 x #s(literal -27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))))) (+.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))) (+.f64 (.f64 x #s(literal -27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (.f64 x (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))) (+.f64 (.f64 x #s(literal -27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (.f64 x (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64)))))))))
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))) (+.f64 (.f64 x #s(literal -27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 (.f64 x (+.f64 (.f64 x #s(literal -4481/100000 binary64)) #s(literal -99229/100000 binary64))) #s(literal -1 binary64)))))))
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(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 977047873985989/1000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) (.f64 x (.f64 x x))))) (+.f64 (.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64)))) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64)))))) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64))))) (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 (.f64 x x) #s(literal -20079361/10000000000 binary64))))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64))) x)) (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 (.f64 x x) #s(literal -20079361/10000000000 binary64))) x)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))
(.f64 x (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))) x))
(.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 (.f64 x x) #s(literal -20079361/10000000000 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) x))
(.f64 (+.f64 (.f64 #s(literal 977047873985989/1000000000000000 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x #s(literal 99229/100000 binary64)))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64)))) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 (.f64 x x) #s(literal -20079361/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 977047873985989/1000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (.f64 (.f64 x x) #s(literal -20079361/10000000000 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))

simplify231.0ms (4%)

Algorithm

1×	egg-herbie

Rules

4012×	`-lowering-.f32`
4012×	`-lowering-.f64`
1552×	`fma-lowering-fma.f32`
1552×	`fma-lowering-fma.f64`
1534×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	430
1	344	388
2	870	380
3	2248	354
0	8596	354

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))

Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))) #s(literal -20191289437/10000000000 binary64))))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (* 4481/100000 x)))
(.f64 x (+.f64 (.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(.f64 x (+.f64 (.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(.f64 x (+.f64 (.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(.f64 x (.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(.f64 x (+.f64 (.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(.f64 x (+.f64 (.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(.f64 x (+.f64 (.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(.f64 x (.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(.f64 x (+.f64 (.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(.f64 x (+.f64 (.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(.f64 x (+.f64 (.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))

eval42.0ms (0.7%)

Compiler: Compiled 12882 to 1103 computations (91.4% saved)

prune143.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	334	6	340
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	335	6	341

Accuracy

100.0%

Counts

341 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.9%	(-.f64 (/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
▶	55.3%	(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
▶	99.6%	(-.f64 #s(literal 230753/100000 binary64) x)
▶	55.6%	(-.f64 #s(literal 0 binary64) x)
▶	55.6%	(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
▶	47.8%	#s(literal 230753/100000 binary64)

Compiler

Compiled 96 to 74 computations (22.9% saved)

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 27061/4481 binary64) x)
✓	cost-diff	(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
✓	cost-diff	(*.f64 #s(literal -30191289437/10000000000 binary64) x)
✓	cost-diff	(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
✓	cost-diff	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	(-.f64 #s(literal 230753/100000 binary64) x)

Rules

192×	`fma-lowering-fma.f32`
192×	`fnmsub-define`
192×	`fmsub-define`
192×	`fma-lowering-fma.f64`
192×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	17	30
2	29	30
3	55	30
4	100	30
5	142	30
6	235	30
7	317	30
8	455	30
9	561	30
10	616	30
11	708	30
12	751	30
13	763	30
14	780	30
15	794	30
16	798	30
0	798	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 230753/100000 x)
230753/100000
x
230753/100000
(- 0 x)
0
x
(+ 230753/100000 (* -30191289437/10000000000 x))
230753/100000
(* -30191289437/10000000000 x)
-30191289437/10000000000
x
(- (/ 27061/4481 x) x)
(/ 27061/4481 x)
27061/4481
x

Outputs
(- 230753/100000 x)
(-.f64 #s(literal 230753/100000 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
x
230753/100000
#s(literal 230753/100000 binary64)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ 230753/100000 (* -30191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
-30191289437/10000000000
#s(literal -30191289437/10000000000 binary64)
x
(- (/ 27061/4481 x) x)
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
27061/4481
#s(literal 27061/4481 binary64)
x

localize69.0ms (1.2%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
✓	accuracy	99.5%	(/.f64 #s(literal 27061/4481 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
✓	accuracy	99.5%	(*.f64 #s(literal -30191289437/10000000000 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 230753/100000 binary64) x)

Results

54.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

...c/correct-round.rkt:119:19: 12.0ms (54.1% of total)

ival-sub: 4.0ms (18% of total)

ival-div: 2.0ms (9% of total)

ival-mult: 2.0ms (9% of total)

ival-add: 1.0ms (4.5% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (- 230753/100000 x)>
#<alt (- 0 x)>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (* -30191289437/10000000000 x)>
#<alt (- (/ 27061/4481 x) x)>
#<alt (/ 27061/4481 x)>

Outputs
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -1 x))>
#<alt (+ 230753/100000 (* -1 x))>
#<alt (+ 230753/100000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 1))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 1))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)>
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)>
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ 230753/100000 (* -30191289437/10000000000 x))
0.0ms	x	@	-inf	(* -30191289437/10000000000 x)
0.0ms	x	@	0	(/ 27061/4481 x)
0.0ms	x	@	inf	(* -30191289437/10000000000 x)
0.0ms	x	@	0	(- (/ 27061/4481 x) x)

rewrite292.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3502×	`-lowering-.f32`
3502×	`-lowering-.f64`
3268×	`/-lowering-/.f32`
3268×	`/-lowering-/.f64`
1566×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	70	20
2	666	20
0	9095	20

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 372

Calls

Call 1

Inputs
(- 230753/100000 x)
(- 0 x)
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(- (/ 27061/4481 x) x)
(/ 27061/4481 x)

Outputs
(+.f64 #s(literal 230753/100000 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 230753/100000 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 230753/100000 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 230753/100000 binary64))
(+.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))))
(+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x))))
(-.f64 #s(literal 230753/100000 binary64) x)
(-.f64 (-.f64 #s(literal 230753/100000 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 230753/100000 binary64)))
(-.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x)))
(fma.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 230753/100000 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 230753/100000 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -230753/100000 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 230753/100000 binary64) x)))
(/.f64 (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))
(/.f64 (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x))) (-.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x x)) (.f64 #s(literal -230753/100000 binary64) x)))
(/.f64 (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (.f64 #s(literal -230753/100000 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x x)) (.f64 #s(literal -230753/100000 binary64) x)) (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 230753/100000 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 230753/100000 binary64) x))))
(/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))))
(/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x))) (neg.f64 (-.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x x)) (.f64 #s(literal -230753/100000 binary64) x))))
(/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -230753/100000 binary64)))
(/.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 230753/100000 binary64) x) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1854924355574497323849180998921432230216877326433/1000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))) (+.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 230753/100000 binary64) x) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x)) (.f64 (+.f64 #s(literal 230753/100000 binary64) x) (.f64 x x))) (.f64 (+.f64 #s(literal 230753/100000 binary64) x) (+.f64 #s(literal 230753/100000 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (*.f64 x x))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -230753/100000 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))) (.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x)) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x))) (.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 53246947009/10000000000 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 230753/100000 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))))) (+.f64 (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x)) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x))) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x)))) (+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 230753/100000 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (+.f64 #s(literal 230753/100000 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 230753/100000 binary64) x))
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(/.f64 (/.f64 (+.f64 (.f64 #s(literal 27061/4481 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal 27061/4481 binary64))) x) x)
(/.f64 (/.f64 (+.f64 (.f64 #s(literal -27061/4481 binary64) (.f64 x x)) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 0 binary64) x)) (.f64 x x))
(/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal -27061/4481 binary64))) (-.f64 #s(literal 0 binary64) x)) x)
(/.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 27061/4481 binary64))) (/.f64 x #s(literal 27061/4481 binary64))) (*.f64 x x))
(/.f64 (/.f64 (+.f64 x (/.f64 (.f64 x (.f64 x x)) #s(literal -27061/4481 binary64))) (/.f64 x #s(literal 27061/4481 binary64))) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)) #s(literal -1 binary64))
(.f64 x (+.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (.f64 x x))))
(.f64 (-.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))))))
(.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)))) (.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)))))))
(.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) (+.f64 (.f64 x x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))))))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 27061/4481 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 27061/4481 binary64)))
(.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
(.f64 (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) (.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(*.f64 (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
(.f64 (+.f64 (.f64 #s(literal 27061/4481 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal 27061/4481 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (+.f64 (.f64 #s(literal -27061/4481 binary64) (.f64 x x)) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -27061/4481 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 27061/4481 binary64))) (/.f64 #s(literal 27061/4481 binary64) (.f64 x (*.f64 x x))))
(.f64 (+.f64 x (/.f64 (.f64 x (.f64 x x)) #s(literal -27061/4481 binary64))) (/.f64 #s(literal 27061/4481 binary64) (.f64 x x)))
(.f64 (+.f64 (neg.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 (.f64 x x) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)))) #s(literal -27061/4481 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x))))) (-.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (*.f64 x x))) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 392701940846296607456136361/8095611589928196122881 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 27061/4481 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 27061/4481 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (.f64 x x)))))) (+.f64 (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) (/.f64 x #s(literal 27061/4481 binary64))) (.f64 (+.f64 #s(literal 27061/4481 binary64) (.f64 x x)) (-.f64 (+.f64 #s(literal 27061/4481 binary64) (.f64 x x)) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))))))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) (/.f64 x #s(literal 27061/4481 binary64))) (.f64 (+.f64 #s(literal 27061/4481 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (.f64 x x))))) (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (.f64 x x))))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (+.f64 (*.f64 x x) #s(literal -27061/4481 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal 27061/4481 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal 27061/4481 binary64))) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal 27061/4481 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27061/4481 binary64) x))
(+.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 27061/4481 binary64) x) (.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 27061/4481 binary64) x) (.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x x)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 27061/4481 binary64) x) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 27061/4481 binary64) (.f64 x (*.f64 x x)))))
(+.f64 (/.f64 #s(literal 27061/4481 binary64) x) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 27061/4481 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x (*.f64 x x))) #s(literal 0 binary64)) (/.f64 #s(literal 27061/4481 binary64) x))
(+.f64 (.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 27061/4481 binary64) x))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 27061/4481 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 27061/4481 binary64) x))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 27061/4481 binary64) (.f64 x x))) (/.f64 #s(literal 27061/4481 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 27061/4481 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -27061/4481 binary64) x))
(fma.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 27061/4481 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x (.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) x #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal -27061/4481 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -27061/4481 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -27061/4481 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x #s(literal 27061/4481 binary64))))
(/.f64 #s(literal 27061/4481 binary64) x)
(/.f64 #s(literal -27061/4481 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 27061/4481 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4481/27061 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -27061/4481 binary64)))
(/.f64 (.f64 #s(literal -27061/4481 binary64) (.f64 x x)) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 x #s(literal -27061/4481 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 0 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
(/.f64 (.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x x)) (.f64 x (.f64 x x))) (*.f64 x x))
(pow.f64 (/.f64 x #s(literal 27061/4481 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 27061/4481 binary64) (.f64 x x)))
(*.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -27061/4481 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 27061/4481 binary64) (.f64 x (.f64 x x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 27061/4481 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -27061/4481 binary64))
(.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x x)) x)
(*.f64 (pow.f64 (/.f64 x #s(literal 27061/4481 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 27061/4481 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -27061/4481 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 #s(literal -27061/4481 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) x)
(.f64 (.f64 (/.f64 #s(literal 27061/4481 binary64) (.f64 x (.f64 x x))) x) x)
(.f64 (/.f64 #s(literal 27061/4481 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))

simplify171.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1578×	`sum3-define`
1216×	`/-lowering-/.f32`
1216×	`/-lowering-/.f64`
1192×	`fma-lowering-fma.f32`
1192×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	268
1	95	232
2	214	232
3	565	223
4	1781	223
5	3356	223
6	6102	223
0	8003	223

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
230753/100000
(+ 230753/100000 (* -1 x))
(+ 230753/100000 (* -1 x))
(+ 230753/100000 (* -1 x))
(* -1 x)
(* x (- (* 230753/100000 (/ 1 x)) 1))
(* x (- (* 230753/100000 (/ 1 x)) 1))
(* x (- (* 230753/100000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* -30191289437/10000000000 x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(/ 27061/4481 x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)

Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -1 x))
(-.f64 #s(literal 230753/100000 binary64) x)
(+ 230753/100000 (* -1 x))
(-.f64 #s(literal 230753/100000 binary64) x)
(+ 230753/100000 (* -1 x))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 230753/100000 (/ 1 x)) 1))
(-.f64 #s(literal 230753/100000 binary64) x)
(* x (- (* 230753/100000 (/ 1 x)) 1))
(-.f64 #s(literal 230753/100000 binary64) x)
(* x (- (* 230753/100000 (/ 1 x)) 1))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 (* x (- 1 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)

eval60.0ms (1%)

Compiler: Compiled 7461 to 973 computations (87% saved)

prune54.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	442	2	444
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	444	6	450

Accuracy

100.0%

Counts

450 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
✓	55.3%	(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
✓	99.6%	(-.f64 #s(literal 230753/100000 binary64) x)
✓	55.6%	(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
▶	55.6%	(neg.f64 x)
✓	47.8%	#s(literal 230753/100000 binary64)

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
✓	cost-diff	-64	(neg.f64 x)

Rules

62×	`sum3-define`
44×	`fma-define`
40×	`+-lowering-+.f64`
40×	`+-lowering-+.f32`
34×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	25	37
2	32	37
3	35	37
4	41	37
5	45	37
6	65	37
7	116	37
8	132	37
9	134	37
0	134	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg x)
x
(/ (+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000) (+ (* x -30191289437/10000000000) -230753/100000))
(+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000)
(* x (* x 911513957868707776969/100000000000000000000))
x
(* x 911513957868707776969/100000000000000000000)
911513957868707776969/100000000000000000000
-53246947009/10000000000
(+ (* x -30191289437/10000000000) -230753/100000)
(* x -30191289437/10000000000)
-30191289437/10000000000
-230753/100000

Outputs
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(/ (+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000) (+ (* x -30191289437/10000000000) -230753/100000))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
(+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000)
(+.f64 (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64))
(* x (* x 911513957868707776969/100000000000000000000))
(.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))
x
(* x 911513957868707776969/100000000000000000000)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
911513957868707776969/100000000000000000000
#s(literal 911513957868707776969/100000000000000000000 binary64)
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(+ (* x -30191289437/10000000000) -230753/100000)
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x -30191289437/10000000000)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
-30191289437/10000000000
#s(literal -30191289437/10000000000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)

localize72.0ms (1.3%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -30191289437/10000000000 binary64))
✓	accuracy	73.5%	(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
✓	accuracy	100.0%	(neg.f64 x)

Results

57.0ms

256×

valid

Compiler

Compiled 46 to 13 computations (71.7% saved)

Precisions

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

...c/correct-round.rkt:119:19: 19.0ms (57.7% of total)

ival-mult: 7.0ms (21.3% of total)

ival-div: 3.0ms (9.1% of total)

ival-add: 3.0ms (9.1% of total)

ival-neg: 2.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (neg x)>
#<alt (/ (+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000) (+ (* x -30191289437/10000000000) -230753/100000))>
#<alt (+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000)>
#<alt (* x (* x 911513957868707776969/100000000000000000000))>
#<alt (* x 911513957868707776969/100000000000000000000)>
#<alt (* x -30191289437/10000000000)>

Outputs
#<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 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt -53246947009/10000000000>
#<alt (- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 (pow x 2))>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* 911513957868707776969/100000000000000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000) (+ (* x -30191289437/10000000000) -230753/100000))
1.0ms	x	@	inf	(/ (+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000) (+ (* x -30191289437/10000000000) -230753/100000))
0.0ms	x	@	inf	(* x (* x 911513957868707776969/100000000000000000000))
0.0ms	x	@	-inf	(* x 911513957868707776969/100000000000000000000)
0.0ms	x	@	-inf	(/ (+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000) (+ (* x -30191289437/10000000000) -230753/100000))

rewrite314.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3728×	`-lowering-.f32`
3728×	`-lowering-.f64`
2468×	`/-lowering-/.f32`
2468×	`/-lowering-/.f64`
1238×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	62	21
2	449	21
3	5724	21
0	8146	21

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 264

Calls

Call 1

Inputs
(neg x)
(/ (+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000) (+ (* x -30191289437/10000000000) -230753/100000))
(+ (* x (* x 911513957868707776969/100000000000000000000)) -53246947009/10000000000)
(* x (* x 911513957868707776969/100000000000000000000))
(* x 911513957868707776969/100000000000000000000)
(* x -30191289437/10000000000)

Outputs
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -30191289437/10000000000 binary64))) #s(literal 230753/100000 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) #s(literal -53246947009/10000000000 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) #s(literal -53246947009/10000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))))
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simplify194.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2404×	`-lowering-.f32`
2404×	`-lowering-.f64`
1306×	`fnmsub-define`
1156×	`fma-lowering-fma.f32`
1156×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	273
1	69	241
2	143	241
3	368	241
4	1010	241
5	1523	241
6	3344	241
7	7177	241
0	8038	241

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* -30191289437/10000000000 x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
-53246947009/10000000000
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* 911513957868707776969/100000000000000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)

Outputs
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(+ 230753/100000 (* -30191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(+ 230753/100000 (* -30191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(+.f64 (.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x)) #s(literal -53246947009/10000000000 binary64))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* 911513957868707776969/100000000000000000000 x)
(*.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))

eval53.0ms (0.9%)

Compiler: Compiled 8382 to 725 computations (91.4% saved)

prune35.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	336	6	342

Accuracy

100.0%

Counts

342 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.2%	(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
✓	55.3%	(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
✓	99.6%	(-.f64 #s(literal 230753/100000 binary64) x)
✓	55.6%	(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
✓	55.6%	(neg.f64 x)
✓	47.8%	#s(literal 230753/100000 binary64)

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

(*.f64 x #s(literal -30191289437/10000000000 binary64))

✓

cost-diff

(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))

✓

cost-diff

(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))

Rules

4×	`fma-lowering-fma.f32`
4×	`fma-define`
4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	10	17
2	11	17
0	11	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ -53246947009/10000000000 (+ (* x -30191289437/10000000000) -230753/100000))
-53246947009/10000000000
(+ (* x -30191289437/10000000000) -230753/100000)
(* x -30191289437/10000000000)
x
-30191289437/10000000000
-230753/100000

Outputs
(/ -53246947009/10000000000 (+ (* x -30191289437/10000000000) -230753/100000))
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(+ (* x -30191289437/10000000000) -230753/100000)
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* x -30191289437/10000000000)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
x
-30191289437/10000000000
#s(literal -30191289437/10000000000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)

localize44.0ms (0.8%)

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

100.0%

(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))

✓

accuracy

99.5%

(*.f64 x #s(literal -30191289437/10000000000 binary64))

✓

accuracy

99.0%

(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))

Results

35.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 13.0ms (67.9% of total)

ival-div: 2.0ms (10.5% of total)

ival-mult: 2.0ms (10.5% of total)

ival-add: 1.0ms (5.2% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (/ -53246947009/10000000000 (+ (* x -30191289437/10000000000) -230753/100000))>
#<alt (+ (* x -30191289437/10000000000) -230753/100000)>
#<alt (* x -30191289437/10000000000)>

Outputs
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 911513957868707776969/230753000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 911513957868707776969/230753000000000000000 (* -27519781727879580139643921576453/5324694700900000000000000000000 x))) 30191289437/10000000000)))>
#<alt (/ 53246947009/30191289437 x)>
#<alt (/ (- 53246947009/30191289437 (* 1228689276316777700000/911513957868707776969 (/ 1 x))) x)>
#<alt (/ (- (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2))) (* 1228689276316777700000/911513957868707776969 (/ 1 x))) x)>
#<alt (/ (- (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2))) (+ (* 1228689276316777700000/911513957868707776969 (/ 1 x)) (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 (pow x 3))))) x)>
#<alt (/ 53246947009/30191289437 x)>
#<alt (* -1 (/ (- (* 1228689276316777700000/911513957868707776969 (/ 1 x)) 53246947009/30191289437) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 28352373657792540460810000000000/27519781727879580139643921576453 (/ 1 x)) 1228689276316777700000/911513957868707776969) x)) 53246947009/30191289437) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 x)) 28352373657792540460810000000000/27519781727879580139643921576453) x)) 1228689276316777700000/911513957868707776969) x)) 53246947009/30191289437) x))>
#<alt -230753/100000>
#<alt (- (* -30191289437/10000000000 x) 230753/100000)>
#<alt (- (* -30191289437/10000000000 x) 230753/100000)>
#<alt (- (* -30191289437/10000000000 x) 230753/100000)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -30191289437/10000000000 x)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ -53246947009/10000000000 (+ (* x -30191289437/10000000000) -230753/100000))
0.0ms	x	@	-inf	(/ -53246947009/10000000000 (+ (* x -30191289437/10000000000) -230753/100000))
0.0ms	x	@	0	(/ -53246947009/10000000000 (+ (* x -30191289437/10000000000) -230753/100000))
0.0ms	x	@	inf	(+ (* x -30191289437/10000000000) -230753/100000)
0.0ms	x	@	-inf	(+ (* x -30191289437/10000000000) -230753/100000)

rewrite341.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4224×	`/-lowering-/.f32`
4224×	`/-lowering-/.f64`
3594×	`-lowering-.f32`
3594×	`-lowering-.f64`
1772×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	33	13
2	215	13
3	1936	13
0	8219	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 321

Calls

Call 1

Inputs
(/ -53246947009/10000000000 (+ (* x -30191289437/10000000000) -230753/100000))
(+ (* x -30191289437/10000000000) -230753/100000)
(* x -30191289437/10000000000)

Outputs
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(.f64 (/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))) (/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (-.f64 (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)) #s(literal 6966730611456061/1000000000000000 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))) (/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))))
(.f64 (/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))) (/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64)))) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 #s(literal -911513957868707776969/100000000000000000000 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -230753/100000 binary64) (.f64 x #s(literal 30191289437/10000000000 binary64)))))
(exp.f64 (log.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -30191289437/10000000000 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(*.f64 #s(literal -30191289437/10000000000 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal -30191289437/10000000000 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal -30191289437/10000000000 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -30191289437/10000000000 binary64))) (exp.f64 (log.f64 x)))

simplify169.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1764×	`fnmadd-define`
1516×	`+-lowering-+.f64`
1516×	`+-lowering-+.f32`
1510×	`-lowering-.f32`
1510×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	189
1	211	177
2	505	175
3	1213	173
4	3248	173
0	8176	173

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 911513957868707776969/230753000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 911513957868707776969/230753000000000000000 (* -27519781727879580139643921576453/5324694700900000000000000000000 x))) 30191289437/10000000000)))
(/ 53246947009/30191289437 x)
(/ (- 53246947009/30191289437 (* 1228689276316777700000/911513957868707776969 (/ 1 x))) x)
(/ (- (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2))) (* 1228689276316777700000/911513957868707776969 (/ 1 x))) x)
(/ (- (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2))) (+ (* 1228689276316777700000/911513957868707776969 (/ 1 x)) (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 (pow x 3))))) x)
(/ 53246947009/30191289437 x)
(* -1 (/ (- (* 1228689276316777700000/911513957868707776969 (/ 1 x)) 53246947009/30191289437) x))
(* -1 (/ (- (* -1 (/ (- (* 28352373657792540460810000000000/27519781727879580139643921576453 (/ 1 x)) 1228689276316777700000/911513957868707776969) x)) 53246947009/30191289437) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 x)) 28352373657792540460810000000000/27519781727879580139643921576453) x)) 1228689276316777700000/911513957868707776969) x)) 53246947009/30191289437) x))
-230753/100000
(- (* -30191289437/10000000000 x) 230753/100000)
(- (* -30191289437/10000000000 x) 230753/100000)
(- (* -30191289437/10000000000 x) 230753/100000)
(* -30191289437/10000000000 x)
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -30191289437/10000000000 x)
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)
(* -30191289437/10000000000 x)

Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(+ 230753/100000 (* x (- (* 911513957868707776969/230753000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (.f64 x #s(literal 911513957868707776969/230753000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 911513957868707776969/230753000000000000000 (* -27519781727879580139643921576453/5324694700900000000000000000000 x))) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (.f64 x (+.f64 #s(literal 911513957868707776969/230753000000000000000 binary64) (*.f64 x #s(literal -27519781727879580139643921576453/5324694700900000000000000000000 binary64)))))))
(/ 53246947009/30191289437 x)
(/.f64 #s(literal 53246947009/30191289437 binary64) x)
(/ (- 53246947009/30191289437 (* 1228689276316777700000/911513957868707776969 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 53246947009/30191289437 binary64) (/.f64 #s(literal -1228689276316777700000/911513957868707776969 binary64) x)) x)
(/ (- (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2))) (* 1228689276316777700000/911513957868707776969 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 53246947009/30191289437 binary64) (/.f64 (+.f64 (/.f64 #s(literal 28352373657792540460810000000000/27519781727879580139643921576453 binary64) x) #s(literal -1228689276316777700000/911513957868707776969 binary64)) x)) x)
(/ (- (+ 53246947009/30191289437 (/ 28352373657792540460810000000000/27519781727879580139643921576453 (pow x 2))) (+ (* 1228689276316777700000/911513957868707776969 (/ 1 x)) (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 53246947009/30191289437 binary64) (/.f64 (+.f64 #s(literal 1228689276316777700000/911513957868707776969 binary64) (/.f64 (+.f64 (/.f64 #s(literal 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 binary64) x) #s(literal -28352373657792540460810000000000/27519781727879580139643921576453 binary64)) x)) x)) x)
(/ 53246947009/30191289437 x)
(/.f64 #s(literal 53246947009/30191289437 binary64) x)
(* -1 (/ (- (* 1228689276316777700000/911513957868707776969 (/ 1 x)) 53246947009/30191289437) x))
(/.f64 (+.f64 #s(literal 53246947009/30191289437 binary64) (/.f64 #s(literal -1228689276316777700000/911513957868707776969 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 28352373657792540460810000000000/27519781727879580139643921576453 (/ 1 x)) 1228689276316777700000/911513957868707776969) x)) 53246947009/30191289437) x))
(/.f64 (+.f64 #s(literal 53246947009/30191289437 binary64) (/.f64 (+.f64 (/.f64 #s(literal 28352373657792540460810000000000/27519781727879580139643921576453 binary64) x) #s(literal -1228689276316777700000/911513957868707776969 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 (/ 1 x)) 28352373657792540460810000000000/27519781727879580139643921576453) x)) 1228689276316777700000/911513957868707776969) x)) 53246947009/30191289437) x))
(/.f64 (-.f64 #s(literal 53246947009/30191289437 binary64) (/.f64 (+.f64 #s(literal 1228689276316777700000/911513957868707776969 binary64) (/.f64 (+.f64 (/.f64 #s(literal 654239527865660208895328993000000000000000/830857695389476376278026514432421846826961 binary64) x) #s(literal -28352373657792540460810000000000/27519781727879580139643921576453 binary64)) x)) x)) x)
-230753/100000
#s(literal -230753/100000 binary64)
(- (* -30191289437/10000000000 x) 230753/100000)
(-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(- (* -30191289437/10000000000 x) 230753/100000)
(-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(- (* -30191289437/10000000000 x) 230753/100000)
(-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -1 (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)

eval49.0ms (0.8%)

Compiler: Compiled 10692 to 1105 computations (89.7% saved)

prune49.0ms (0.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	356	1	357
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	356	7	363

Accuracy

100.0%

Counts

363 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.2%	(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
	47.1%	(/.f64 #s(literal -53246947009/10000000000 binary64) #s(literal -230753/100000 binary64))
✓	55.3%	(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
✓	99.6%	(-.f64 #s(literal 230753/100000 binary64) x)
✓	55.6%	(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
✓	55.6%	(neg.f64 x)
✓	47.8%	#s(literal 230753/100000 binary64)

Compiler

Compiled 118 to 70 computations (40.7% saved)

regimes9.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(/.f64 #s(literal -53246947009/10000000000 binary64) #s(literal -230753/100000 binary64))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(-.f64 (/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (+.f64 (.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)

Outputs

(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)

Calls

2 calls:

5.0ms

4.0ms

(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes4.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(/.f64 #s(literal -53246947009/10000000000 binary64) #s(literal -230753/100000 binary64))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -30191289437/10000000000 binary64) x))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(/.f64 #s(literal -53246947009/10000000000 binary64) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 911513957868707776969/100000000000000000000 binary64))) #s(literal -53246947009/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))

Outputs
(-.f64 #s(literal 230753/100000 binary64) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)

Outputs
(neg.f64 x)
#s(literal 230753/100000 binary64)
(neg.f64 x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`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 230753/100000 binary64)

Outputs
#s(literal 230753/100000 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
47.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch100.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.0267383395991314e-15	1513501.1443583441
34.0ms	-52675768149459620.0	-1.107356836747944e-16

Results

53.0ms

352×

valid

Compiler

Compiled 176 to 149 computations (15.3% saved)

Precisions

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

...c/correct-round.rkt:119:19: 20.0ms (51% of total)

ival-mult: 8.0ms (20.4% of total)

ival-add: 5.0ms (12.7% of total)

ival-sub: 3.0ms (7.6% of total)

ival-div: 2.0ms (5.1% of total)

const: 1.0ms (2.5% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
8×	`*-commutative_binary64`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	33
1	39	33
2	43	33
3	44	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal 230753/100000 binary64) (neg.f64 x)))
#s(literal 230753/100000 binary64)

Outputs
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal 230753/100000 binary64) (neg.f64 x)))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal 230753/100000 binary64) (-.f64 #s(literal 0 binary64) x)))
#s(literal 230753/100000 binary64)

soundness509.0ms (8.8%)

Rules

4012×	`-lowering-.f32`
4012×	`-lowering-.f64`
3502×	`-lowering-.f32`
3502×	`-lowering-.f64`
3268×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	430
1	344	388
2	870	380
3	2248	354
0	8596	354
0	11	21
1	70	20
2	666	20
0	9095	20

Stop Event

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

Compiler

Compiled 52 to 35 computations (32.7% saved)

preprocess33.0ms (0.6%)

Compiler: Compiled 110 to 74 computations (32.7% saved)

Iter	Nodes	Cost
0	11	31
1	17	30
2	29	30
3	55	30
4	100	30
5	142	30
6	235	30
7	317	30
8	455	30
9	561	30
10	616	30
11	708	30
12	751	30
13	763	30
14	780	30
15	794	30
16	798	30
0	798	30

Iter	Nodes	Cost
0	11	31
1	17	30
2	29	30
3	55	30
4	100	30
5	142	30
6	235	30
7	317	30
8	455	30
9	561	30
10	616	30
11	708	30
12	751	30
13	763	30
14	780	30
15	794	30
16	798	30
0	798	30

analyze7.0ms (0.1%)

sample1.7s (28.9%)

preprocess197.0ms (3.4%)

explain239.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify114.0ms (2%)

localize85.0ms (1.5%)

series6.0ms (0.1%)

rewrite352.0ms (6.1%)

simplify231.0ms (4%)

eval42.0ms (0.7%)

prune143.0ms (2.5%)

simplify32.0ms (0.6%)

localize69.0ms (1.2%)

series5.0ms (0.1%)

rewrite292.0ms (5.1%)

simplify171.0ms (3%)

eval60.0ms (1%)

prune54.0ms (0.9%)

simplify9.0ms (0.2%)

localize72.0ms (1.3%)

series5.0ms (0.1%)

rewrite314.0ms (5.4%)

simplify194.0ms (3.4%)

eval53.0ms (0.9%)

prune35.0ms (0.6%)

simplify5.0ms (0.1%)

localize44.0ms (0.8%)

series1.0ms (0%)

rewrite341.0ms (5.9%)

simplify169.0ms (2.9%)

eval49.0ms (0.8%)

prune49.0ms (0.8%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch100.0ms (1.7%)

simplify8.0ms (0.1%)

soundness509.0ms (8.8%)

preprocess33.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	31
1	17	30
2	29	30
3	55	30
4	100	30
5	142	30
6	235	30
7	317	30
8	455	30
9	561	30
10	616	30
11	708	30
12	751	30
13	763	30
14	780	30
15	794	30
16	798	30
0	798	30