Metrics for ENA, Section 1.4, Exercise 4b, n=2

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 26 to 18 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

ival-<=: 0.0ms (0% of total)

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

sample1.7s (24.6%)

Results

729.0ms	5253×	0	valid
505.0ms	2469×	1	valid
161.0ms	534×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 899.0ms

ival-pow: 392.0ms (43.6% of total)

ival-<=: 141.0ms (15.7% of total)

ival-add: 136.0ms (15.1% of total)

backward-pass: 102.0ms (11.3% of total)

ival-sub: 76.0ms (8.4% of total)

ival-and: 27.0ms (3% of total)

const: 25.0ms (2.8% of total)

Bogosity

preprocess205.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

1814×	`+-lowering-+.f64`
1814×	`+-lowering-+.f32`
1748×	`fmsub-define`
1686×	`fma-lowering-fma.f32`
1686×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	51	44
2	178	42
3	704	40
4	4141	36
5	7959	36
0	7	9
1	12	7
2	36	7
3	107	7
4	504	6
5	1631	6
6	3488	6
0	8225	6

Stop Event

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

Calls

Call 1

Inputs
(- (pow (+ x eps) 2) (pow x 2))

Outputs
(- (pow (+ x eps) 2) (pow x 2))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))

Call 2

Inputs
(- (pow (+ x eps) 2) (pow x 2))
(- (pow (+ (neg x) eps) 2) (pow (neg x) 2))
(- (pow (+ x (neg eps)) 2) (pow x 2))
(neg (- (pow (+ (neg x) eps) 2) (pow (neg x) 2)))
(neg (- (pow (+ x (neg eps)) 2) (pow x 2)))
(- (pow (+ eps x) 2) (pow eps 2))

Outputs
(- (pow (+ x eps) 2) (pow x 2))
(* eps (sum3 x eps x))
(- (pow (+ (neg x) eps) 2) (pow (neg x) 2))
(* eps (fma x -2 eps))
(- (pow (+ x (neg eps)) 2) (pow x 2))
(* eps (fma x -2 eps))
(neg (- (pow (+ (neg x) eps) 2) (pow (neg x) 2)))
(* eps (fnmsub x -2 eps))
(neg (- (pow (+ x (neg eps)) 2) (pow x 2)))
(* eps (fnmsub x -2 eps))
(- (pow (+ eps x) 2) (pow eps 2))
(* x (sum3 x eps eps))

explain142.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
75	1	(-1.996575268243821e-55 7.362404899122855e-269)	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`x`
0	69	(1.2647868175007397e-101 2.2833878325655866e-288)	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`eps`

Results

50.0ms	140×	1	valid
32.0ms	334×	0	valid
23.0ms	38×	2	valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow: 29.0ms (66.3% of total)

backward-pass: 5.0ms (11.4% of total)

ival-add: 5.0ms (11.4% of total)

ival-sub: 4.0ms (9.1% of total)

const: 1.0ms (2.3% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	(-.f64 eps (*.f64 x #s(literal -2 binary64)))
✓	cost-diff	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))

Rules

712×	`fnmadd-define`
642×	`fma-define`
470×	`sum3-define`
448×	`fnmsub-define`
448×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	13	18
2	31	16
3	76	16
4	170	16
5	310	16
6	781	16
7	1134	16
8	2157	16
9	2342	16
0	2342	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* eps (- eps (* x -2)))
eps
(- eps (* x -2))
(* x -2)
x
-2

Outputs
(* eps (- eps (* x -2)))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
eps
(- eps (* x -2))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)

localize30.0ms (0.4%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 eps (*.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))

Results

21.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (71% of total)

ival-sub: 1.0ms (14.2% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (* eps (- eps (* x -2)))>
#<alt (- eps (* x -2))>
#<alt (* x -2)>

Outputs
#<alt (* 2 (* eps x))>
#<alt (* eps (+ eps (* 2 x)))>
#<alt (* eps (+ eps (* 2 x)))>
#<alt (* eps (+ eps (* 2 x)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (* 2 (* eps x))>
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))>
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))>
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))>
#<alt (* 2 (* eps x))>
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* 2 x)>
#<alt (- eps (* -2 x))>
#<alt (- eps (* -2 x))>
#<alt (- eps (* -2 x))>
#<alt eps>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt eps>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* eps (- eps (* x -2)))
0.0ms	eps	@	inf	(* eps (- eps (* x -2)))
0.0ms	eps	@	0	(* eps (- eps (* x -2)))
0.0ms	x	@	inf	(* eps (- eps (* x -2)))
0.0ms	x	@	-inf	(* x -2)

rewrite320.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3162×	`-lowering-.f32`
3162×	`-lowering-.f64`
2604×	`/-lowering-/.f32`
2604×	`/-lowering-/.f64`
1438×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	26	15
2	205	13
3	2142	13
0	9232	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 207

Calls

Call 1

Inputs
(* eps (- eps (* x -2)))
(- eps (* x -2))
(* x -2)

Outputs
(+.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (*.f64 eps eps))
(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))))
(fma.f64 eps eps (.f64 eps (.f64 x #s(literal 2 binary64))))
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (.f64 eps (+.f64 (.f64 eps eps) (.f64 (*.f64 x x) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 eps (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (.f64 eps (+.f64 (.f64 eps eps) (.f64 (*.f64 x x) #s(literal -4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 eps (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))))))
(/.f64 (.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64)))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 eps (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64))))) (+.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps)))
(/.f64 (neg.f64 (.f64 eps (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8 binary64)))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 eps (+.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64)))))))
(/.f64 (.f64 eps (+.f64 (neg.f64 (.f64 eps eps)) (.f64 x (.f64 x #s(literal 4 binary64))))) (+.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps)))
(/.f64 (.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) eps) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64)))))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 eps eps)) (.f64 x (.f64 x #s(literal 4 binary64)))) eps) (+.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps)))
(/.f64 (.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64)))))) (neg.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (.f64 eps (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8 binary64))))) (neg.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))))) (neg.f64 (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 eps (+.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (.f64 eps (+.f64 (neg.f64 (.f64 eps eps)) (.f64 x (.f64 x #s(literal 4 binary64)))))) (neg.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps))))
(/.f64 (neg.f64 (.f64 eps #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) eps)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (.f64 (+.f64 (neg.f64 (.f64 eps eps)) (.f64 x (.f64 x #s(literal 4 binary64)))) eps)) (neg.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 eps eps)))))
(pow.f64 (/.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (.f64 eps (+.f64 (.f64 eps eps) (.f64 (*.f64 x x) #s(literal -4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 eps (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))) #s(literal -1 binary64))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) eps)
(.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (*.f64 x #s(literal -2 binary64)))))) eps))
(.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64)))))))
(.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal -2 binary64)))) eps))
(.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64))) (/.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(.f64 (.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal -2 binary64)))))
(.f64 (.f64 eps (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (*.f64 x #s(literal -2 binary64)))))))
(.f64 (/.f64 (.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64)))) (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64)))) (+.f64 eps (*.f64 x #s(literal 2 binary64))))
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(/.f64 (+.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (pow.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (*.f64 x #s(literal -2 binary64)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64)))))))
(.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (*.f64 x #s(literal -2 binary64))))))))
(.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64)))))))
(.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal -2 binary64))))))
(.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64)))))
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(.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 eps eps) (.f64 (*.f64 x x) #s(literal -4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (*.f64 x x) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64))) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (+.f64 (.f64 eps eps) (.f64 x (-.f64 (.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal -2 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64))) (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64)))) (+.f64 eps (.f64 x #s(literal 2 binary64))))
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(.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64))))))) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 x #s(literal -2 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal -2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 x)))

simplify381.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

2068×	`fmsub-define`
1998×	`fnmsub-define`
1810×	`fmm-def`
1798×	`fma-lowering-fma.f32`
1798×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	288
1	133	249
2	338	249
3	924	249
4	2739	249
5	6873	249
0	8413	249

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 x)
(- eps (* -2 x))
(- eps (* -2 x))
(- eps (* -2 x))
eps
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
eps
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
eps
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ eps (* 2 x))
(* 2 x)
(* x (+ 2 (/ eps x)))
(* x (+ 2 (/ eps x)))
(* x (+ 2 (/ eps x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)

Outputs
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* eps (+ eps (* 2 x)))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* eps (+ eps (* 2 x)))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* eps (+ eps (* 2 x)))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(- eps (* -2 x))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(- eps (* -2 x))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(- eps (* -2 x))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
eps
(* eps (+ 1 (* 2 (/ x eps))))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* eps (+ 1 (* 2 (/ x eps))))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* eps (+ 1 (* 2 (/ x eps))))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
eps
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
eps
(+ eps (* 2 x))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(+ eps (* 2 x))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(+ eps (* 2 x))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ eps x)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* x (+ 2 (/ eps x)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* x (+ 2 (/ eps x)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(-.f64 eps (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))

eval50.0ms (0.7%)

Compiler: Compiled 10082 to 779 computations (92.3% saved)

prune68.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	263	4	267
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	263	5	268

Accuracy

100.0%

Counts

268 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.0%	(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))
▶	100.0%	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
✓	100.0%	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
▶	61.9%	(.f64 eps (.f64 #s(literal 2 binary64) x))
▶	72.4%	(*.f64 eps eps)

Compiler

Compiled 61 to 36 computations (41% saved)

simplify188.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (.f64 eps (*.f64 eps eps)))
✓	cost-diff	128	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
✓	cost-diff	256	(-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (*.f64 x #s(literal 4 binary64)))))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(.f64 eps (.f64 x #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	128	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(.f64 eps (.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(*.f64 eps eps)

Rules

3558×	`-lowering-.f32`
3558×	`-lowering-.f64`
2132×	`sum4-define`
1546×	`/-lowering-/.f32`
1546×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	113
1	71	103
2	251	102
3	969	94
4	3348	94
5	7324	94
0	8278	94

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* eps eps)
eps
(* eps (* 2 x))
eps
(* 2 x)
2
x
(- (* eps eps) (* eps (* x -2)))
(* eps eps)
eps
(* eps (* x -2))
(* x -2)
x
-2
(/ (- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4)))) (- (* eps eps) (* eps (* x 2))))
(- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4))))
(* eps (* eps (* eps eps)))
eps
(* eps (* eps eps))
(* eps eps)
(* (* eps eps) (* x (* x 4)))
(* x (* x 4))
x
(* x 4)
4
(- (* eps eps) (* eps (* x 2)))
(* eps (* x 2))
(* x 2)
2

Outputs
(* eps eps)
(*.f64 eps eps)
eps
(* eps (* 2 x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
eps
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(- (* eps eps) (* eps (* x -2)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* eps eps)
(*.f64 eps eps)
eps
(* eps (* x -2))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ (- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4)))) (- (* eps eps) (* eps (* x 2))))
(/.f64 (.f64 eps (+.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal -4 binary64))))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4))))
(.f64 eps (.f64 eps (+.f64 (.f64 eps eps) (.f64 x (*.f64 x #s(literal -4 binary64))))))
(* eps (* eps (* eps eps)))
(.f64 eps (.f64 eps (*.f64 eps eps)))
eps
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(* (* eps eps) (* x (* x 4)))
(.f64 eps (.f64 x (.f64 eps (.f64 x #s(literal 4 binary64)))))
(* x (* x 4))
(.f64 x (.f64 x #s(literal 4 binary64)))
x
(* x 4)
(*.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
(- (* eps eps) (* eps (* x 2)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* eps (* x 2))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* x 2)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)

localize103.0ms (1.5%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))
✓	accuracy	99.9%	(.f64 eps (.f64 eps (*.f64 eps eps)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	32.4%	(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 eps (.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
✓	accuracy	100.0%	(.f64 eps (.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 eps eps)

Results

76.0ms

256×

valid

Compiler

Compiled 138 to 22 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 19.0ms (74.9% of total)

ival-sub: 3.0ms (11.8% of total)

ival-div: 2.0ms (7.9% of total)

const: 1.0ms (3.9% of total)

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

series14.0ms (0.2%)

Counts

12 → 228

Calls

Call 1

Inputs
#<alt (* eps eps)>
#<alt (* eps (* 2 x))>
#<alt (* 2 x)>
#<alt (- (* eps eps) (* eps (* x -2)))>
#<alt (* eps (* x -2))>
#<alt (* x -2)>
#<alt (/ (- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4)))) (- (* eps eps) (* eps (* x 2))))>
#<alt (- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4))))>
#<alt (- (* eps eps) (* eps (* x 2)))>
#<alt (* eps (* eps (* eps eps)))>
#<alt (* eps (* eps eps))>
#<alt (* (* eps eps) (* x (* x 4)))>

Outputs
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 (* eps x))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 (* eps x))>
#<alt (* eps (- eps (* -2 x)))>
#<alt (* eps (- eps (* -2 x)))>
#<alt (* eps (- eps (* -2 x)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (* 2 (* eps x))>
#<alt (* x (- (/ (pow eps 2) x) (* -2 eps)))>
#<alt (* x (- (/ (pow eps 2) x) (* -2 eps)))>
#<alt (* x (- (/ (pow eps 2) x) (* -2 eps)))>
#<alt (* 2 (* eps x))>
#<alt (* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))>
#<alt (* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))>
#<alt (* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 (* eps x))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 2 (* eps x))>
#<alt (* eps (+ eps (* 2 x)))>
#<alt (* eps (+ eps (* 2 x)))>
#<alt (* eps (+ eps (* 2 x)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (* 2 (* eps x))>
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))>
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))>
#<alt (* x (+ (* 2 eps) (/ (pow eps 2) x)))>
#<alt (* 2 (* eps x))>
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (- (pow eps 2) (* 4 (pow x 2))))>
#<alt (* (pow eps 2) (- (pow eps 2) (* 4 (pow x 2))))>
#<alt (* (pow eps 2) (- (pow eps 2) (* 4 (pow x 2))))>
#<alt (pow eps 4)>
#<alt (* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))>
#<alt (* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))>
#<alt (* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))>
#<alt (pow eps 4)>
#<alt (* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))>
#<alt (* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))>
#<alt (* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))>
#<alt (pow eps 4)>
#<alt (+ (* -4 (* (pow eps 2) (pow x 2))) (pow eps 4))>
#<alt (+ (* -4 (* (pow eps 2) (pow x 2))) (pow eps 4))>
#<alt (+ (* -4 (* (pow eps 2) (pow x 2))) (pow eps 4))>
#<alt (* -4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))>
#<alt (* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))>
#<alt (* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))>
#<alt (* -4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))>
#<alt (* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))>
#<alt (* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))>
#<alt (* -2 (* eps x))>
#<alt (* eps (- eps (* 2 x)))>
#<alt (* eps (- eps (* 2 x)))>
#<alt (* eps (- eps (* 2 x)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (+ (* -2 (* eps x)) (pow eps 2))>
#<alt (+ (* -2 (* eps x)) (pow eps 2))>
#<alt (+ (* -2 (* eps x)) (pow eps 2))>
#<alt (* -2 (* eps x))>
#<alt (* x (- (/ (pow eps 2) x) (* 2 eps)))>
#<alt (* x (- (/ (pow eps 2) x) (* 2 eps)))>
#<alt (* x (- (/ (pow eps 2) x) (* 2 eps)))>
#<alt (* -2 (* eps x))>
#<alt (* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))>
#<alt (* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))>
#<alt (* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>
#<alt (* 4 (* (pow eps 2) (pow x 2)))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(/ (- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4)))) (- (* eps eps) (* eps (* x 2))))
1.0ms	eps	@	inf	(* eps eps)
1.0ms	x	@	0	(/ (- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4)))) (- (* eps eps) (* eps (* x 2))))
1.0ms	x	@	inf	(/ (- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4)))) (- (* eps eps) (* eps (* x 2))))
1.0ms	eps	@	inf	(/ (- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4)))) (- (* eps eps) (* eps (* x 2))))

rewrite464.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4042×	`-lowering-.f32`
4042×	`-lowering-.f64`
2570×	`fma-lowering-fma.f32`
2570×	`fma-lowering-fma.f64`
2270×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	68
1	137	62
2	1168	60
0	9042	60

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1099

Calls

Call 1

Inputs
(* eps eps)
(* eps (* 2 x))
(* 2 x)
(- (* eps eps) (* eps (* x -2)))
(* eps (* x -2))
(* x -2)
(/ (- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4)))) (- (* eps eps) (* eps (* x 2))))
(- (* eps (* eps (* eps eps))) (* (* eps eps) (* x (* x 4))))
(- (* eps eps) (* eps (* x 2)))
(* eps (* eps (* eps eps)))
(* eps (* eps eps))
(* (* eps eps) (* x (* x 4)))

Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(*.f64 eps eps)
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal -2 binary64) eps)))
(neg.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (.f64 eps #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) eps))
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 x #s(literal -2 binary64)))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps #s(literal 2 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 #s(literal -2 binary64) eps)))
(.f64 (neg.f64 (.f64 eps x)) #s(literal -2 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) x) #s(literal -2 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -2 binary64)) x)
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(+.f64 (.f64 eps eps) (.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (+.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 x (*.f64 #s(literal -2 binary64) eps)))))
(+.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (*.f64 eps eps))
(+.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (+.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 #s(literal -2 binary64) eps))))
(+.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (+.f64 (+.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 #s(literal -2 binary64) eps))) (+.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 #s(literal -2 binary64) eps)))))
(+.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) eps)) (.f64 #s(literal 2 binary64) x) (.f64 x (*.f64 #s(literal -2 binary64) eps))))
(+.f64 (+.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 #s(literal -2 binary64) eps))) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(+.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) eps))) (fma.f64 (neg.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))))) eps (.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))) eps)))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 eps eps)))) (fma.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 eps eps) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (*.f64 eps eps))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 x (.f64 x #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 x (*.f64 x #s(literal 4 binary64))))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 eps eps) (.f64 x (*.f64 x #s(literal 4 binary64)))))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 eps eps) x)))) (fma.f64 (neg.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 (.f64 eps eps) x) (.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (*.f64 eps eps) x))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 eps eps)))) (fma.f64 (neg.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 eps eps) (.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 eps eps))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 eps eps) eps)))) (fma.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 eps eps) eps) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 eps eps) eps))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) eps)))) (fma.f64 (neg.f64 (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) eps) (.f64 (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) eps))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 eps eps) x) eps)))) (fma.f64 (neg.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 eps eps) x) eps) (.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 eps eps) x) eps))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))) (/.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64))))))) (fma.f64 (neg.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))) (/.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64)))) (.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))) (/.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (*.f64 x x))) #s(literal -8 binary64)))))))
(+.f64 (fma.f64 eps (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))))))) (fma.f64 (neg.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))))) (.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 x (*.f64 x #s(literal 4 binary64)))))))))
(+.f64 (fma.f64 (.f64 eps eps) (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) eps))) (fma.f64 (neg.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))))) eps (.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64))))) eps)))
(+.f64 (fma.f64 (.f64 eps eps) (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 eps eps)))) (fma.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 eps eps) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (*.f64 eps eps))))
(+.f64 (fma.f64 (.f64 eps eps) (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 x (.f64 x #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 x (*.f64 x #s(literal 4 binary64))))))
(+.f64 (fma.f64 (.f64 eps eps) (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 eps eps) (.f64 x (*.f64 x #s(literal 4 binary64)))))))
(+.f64 (fma.f64 (.f64 eps eps) (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 eps eps) x)))) (fma.f64 (neg.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 (.f64 eps eps) x) (.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (*.f64 eps eps) x))))
(+.f64 (fma.f64 (.f64 eps eps) (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 eps eps)))) (fma.f64 (neg.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 eps eps) (.f64 (/.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 eps eps))))
(+.f64 (fma.f64 (.f64 eps eps) (/.f64 (.f64 eps eps) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 eps eps) eps)))) (fma.f64 (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 eps eps) eps) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 eps eps) eps))))
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(fma.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))) (+.f64 (.f64 (neg.f64 x) (.f64 eps #s(literal 2 binary64))) (.f64 eps (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))) (+.f64 (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (.f64 #s(literal 2 binary64) x))) (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (*.f64 x x))) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 x (*.f64 x #s(literal 4 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))))) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64)))) (neg.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))))) (neg.f64 (.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (.f64 #s(literal 2 binary64) x))) (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (.f64 #s(literal 2 binary64) x)))))) (+.f64 (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (-.f64 (.f64 (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (.f64 #s(literal 2 binary64) x))) (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (.f64 #s(literal 2 binary64) x))) (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 eps (.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 eps (.f64 eps (.f64 x (.f64 #s(literal -2 binary64) eps)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))) (.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64)))) (.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64)))))) (.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))))) (+.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64))))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
(pow.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (*.f64 x x))) #s(literal -8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
(.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) eps)
(.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 eps)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64))
(.f64 eps (.f64 eps (*.f64 eps eps)))
(.f64 (.f64 eps eps) (*.f64 eps eps))
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 3/2 binary64)))
(pow.f64 eps #s(literal 3 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))
(.f64 eps (.f64 eps eps))
(.f64 (.f64 eps eps) eps)
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 #s(literal -2 binary64) eps))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 eps (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(pow.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(.f64 eps (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))))
(.f64 eps (.f64 (.f64 #s(literal 2 binary64) x) (.f64 eps (*.f64 #s(literal 2 binary64) x))))
(.f64 eps (.f64 (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 #s(literal -2 binary64) eps))))
(.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))
(.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))))
(.f64 x (.f64 (.f64 x #s(literal 4 binary64)) (.f64 eps eps)))
(.f64 (.f64 x #s(literal -2 binary64)) (.f64 eps (.f64 x (*.f64 #s(literal -2 binary64) eps))))
(.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 x (*.f64 #s(literal -2 binary64) eps)))
(.f64 #s(literal 4 binary64) (.f64 (.f64 eps eps) (.f64 x x)))
(.f64 (.f64 x #s(literal 4 binary64)) (.f64 (.f64 eps eps) x))
(.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 eps eps))
(.f64 (.f64 #s(literal 2 binary64) x) (.f64 eps (.f64 eps (*.f64 #s(literal 2 binary64) x))))
(.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 eps (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (.f64 x (*.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 x x) (.f64 (.f64 eps #s(literal 2 binary64)) (*.f64 eps #s(literal 2 binary64))))
(.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (.f64 eps eps)))
(.f64 (.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 2 binary64)))
(.f64 (.f64 eps x) (.f64 #s(literal 2 binary64) (.f64 eps (*.f64 #s(literal 2 binary64) x))))
(.f64 (.f64 eps x) (.f64 #s(literal -2 binary64) (.f64 x (*.f64 #s(literal -2 binary64) eps))))
(.f64 (.f64 eps #s(literal 2 binary64)) (.f64 x (.f64 eps (*.f64 #s(literal 2 binary64) x))))
(.f64 (.f64 (.f64 eps eps) x) (.f64 x #s(literal 4 binary64)))
(.f64 (.f64 eps (.f64 x (.f64 x #s(literal 4 binary64)))) eps)
(.f64 (.f64 (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal -2 binary64))) (*.f64 eps eps))
(.f64 (.f64 (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 eps eps) (.f64 x x)) #s(literal 4 binary64))
(.f64 (.f64 (.f64 eps #s(literal 2 binary64)) (.f64 eps #s(literal 2 binary64))) (*.f64 x x))
(.f64 (.f64 (.f64 eps #s(literal 2 binary64)) (.f64 eps #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) eps) (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) eps)
(.f64 (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (*.f64 eps x)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (*.f64 eps #s(literal 2 binary64))) x)
(.f64 (.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) eps) (*.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (*.f64 x #s(literal -2 binary64))) eps)
(.f64 (.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (*.f64 eps x)) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps eps) (.f64 x #s(literal 4 binary64))) x)
(.f64 (.f64 (.f64 (.f64 eps eps) x) x) #s(literal 4 binary64))
(.f64 (.f64 (.f64 (.f64 eps eps) x) #s(literal 4 binary64)) x)
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 (neg.f64 (.f64 eps x)) #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (neg.f64 (.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (.f64 eps #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x))

simplify161.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2370×	`fnmadd-define`
2334×	`-lowering-.f32`
2334×	`-lowering-.f64`
1378×	`fma-lowering-fma.f32`
1378×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	1356
1	194	1191
2	523	1128
3	1665	1128
4	5004	1128
0	8156	1128

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (* eps x))
(* eps (- eps (* -2 x)))
(* eps (- eps (* -2 x)))
(* eps (- eps (* -2 x)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 (* eps x))
(* x (- (/ (pow eps 2) x) (* -2 eps)))
(* x (- (/ (pow eps 2) x) (* -2 eps)))
(* x (- (/ (pow eps 2) x) (* -2 eps)))
(* 2 (* eps x))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 (* eps x))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (- (pow eps 2) (* 4 (pow x 2))))
(* (pow eps 2) (- (pow eps 2) (* 4 (pow x 2))))
(* (pow eps 2) (- (pow eps 2) (* 4 (pow x 2))))
(pow eps 4)
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(pow eps 4)
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(pow eps 4)
(+ (* -4 (* (pow eps 2) (pow x 2))) (pow eps 4))
(+ (* -4 (* (pow eps 2) (pow x 2))) (pow eps 4))
(+ (* -4 (* (pow eps 2) (pow x 2))) (pow eps 4))
(* -4 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(* -4 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(* -2 (* eps x))
(* eps (- eps (* 2 x)))
(* eps (- eps (* 2 x)))
(* eps (- eps (* 2 x)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(pow eps 2)
(+ (* -2 (* eps x)) (pow eps 2))
(+ (* -2 (* eps x)) (pow eps 2))
(+ (* -2 (* eps x)) (pow eps 2))
(* -2 (* eps x))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(* -2 (* eps x))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))
(* 4 (* (pow eps 2) (pow x 2)))

Outputs
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* eps (- eps (* -2 x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* eps (- eps (* -2 x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* eps (- eps (* -2 x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* x (- (/ (pow eps 2) x) (* -2 eps)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* x (- (/ (pow eps 2) x) (* -2 eps)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* x (- (/ (pow eps 2) x) (* -2 eps)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* eps (+ eps (* 2 x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* eps (+ eps (* 2 x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* eps (+ eps (* 2 x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* 2 (* eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(* -4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 #s(literal -4 binary64) (.f64 x x))))
(* (pow eps 2) (- (pow eps 2) (* 4 (pow x 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow eps 2) (- (pow eps 2) (* 4 (pow x 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow eps 2) (- (pow eps 2) (* 4 (pow x 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow eps 4) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(+ (* -4 (* (pow eps 2) (pow x 2))) (pow eps 4))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (* -4 (* (pow eps 2) (pow x 2))) (pow eps 4))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (* -4 (* (pow eps 2) (pow x 2))) (pow eps 4))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* -4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 #s(literal -4 binary64) (.f64 x x))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* -4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 #s(literal -4 binary64) (.f64 x x))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* (pow x 2) (- (/ (pow eps 4) (pow x 2)) (* 4 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* eps (- eps (* 2 x)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* eps (- eps (* 2 x)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* eps (- eps (* 2 x)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(pow eps 2)
(*.f64 eps eps)
(+ (* -2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(+ (* -2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(+ (* -2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* -2 (* eps x))
(.f64 eps (.f64 x #s(literal -2 binary64)))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 4)
(.f64 eps (.f64 eps (*.f64 eps eps)))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))
(* 4 (* (pow eps 2) (pow x 2)))
(.f64 eps (.f64 eps (.f64 (.f64 x x) #s(literal 4 binary64))))

eval169.0ms (2.4%)

Compiler: Compiled 80957 to 2478 computations (96.9% saved)

prune119.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1398	1	1399
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1399	5	1404

Accuracy

100.0%

Counts

1404 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.8%	(/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))
✓	100.0%	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
✓	100.0%	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
✓	61.9%	(.f64 eps (.f64 #s(literal 2 binary64) x))
✓	72.4%	(*.f64 eps eps)

Compiler

Compiled 51 to 31 computations (39.2% saved)

simplify157.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(.f64 eps (.f64 eps (*.f64 eps eps)))
✓	cost-diff	128	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
✓	cost-diff	384	(/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))

Rules

2646×	`-lowering-.f32`
2646×	`-lowering-.f64`
1440×	`sum4-define`
1178×	`/-lowering-/.f32`
1178×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	31	37
2	94	37
3	218	33
4	320	33
5	730	33
6	2757	33
7	7830	33
0	8446	33

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* eps (* eps (* eps eps))) (- (* eps eps) (* eps (* x 2))))
(* eps (* eps (* eps eps)))
eps
(* eps (* eps eps))
(* eps eps)
(- (* eps eps) (* eps (* x 2)))
(* eps (* x 2))
(* x 2)
x
2

Outputs
(/ (* eps (* eps (* eps eps))) (- (* eps eps) (* eps (* x 2))))
(/.f64 (.f64 eps (.f64 eps eps)) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
(* eps (* eps (* eps eps)))
(.f64 eps (.f64 eps (*.f64 eps eps)))
eps
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(- (* eps eps) (* eps (* x 2)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* eps (* x 2))
(.f64 eps (.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)

localize51.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(.f64 eps (.f64 eps (*.f64 eps eps)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	48.8%	(/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))

Results

40.0ms

256×

valid

Compiler

Compiled 55 to 11 computations (80% saved)

Precisions

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

ival-mult: 9.0ms (75% of total)

ival-div: 2.0ms (16.7% of total)

ival-sub: 1.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (/ (* eps (* eps (* eps eps))) (- (* eps eps) (* eps (* x 2))))>
#<alt (- (* eps eps) (* eps (* x 2)))>
#<alt (* eps (* eps (* eps eps)))>
#<alt (* eps (* eps eps))>

Outputs
#<alt (* -1/2 (/ (pow eps 3) x))>
#<alt (* (pow eps 3) (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow eps 3) (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))>
#<alt (* (pow eps 3) (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps))))>
#<alt (pow eps 2)>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* x (- (* 4 x) (* -2 eps))) (pow eps 2))>
#<alt (+ (* x (- (* x (+ 4 (* 8 (/ x eps)))) (* -2 eps))) (pow eps 2))>
#<alt (* -1/2 (/ (pow eps 3) x))>
#<alt (/ (+ (* -1/2 (pow eps 3)) (* -1/4 (/ (pow eps 4) x))) x)>
#<alt (/ (- (+ (* -1/2 (pow eps 3)) (* -1/8 (/ (pow eps 5) (pow x 2)))) (* 1/4 (/ (pow eps 4) x))) x)>
#<alt (/ (- (+ (* -1/2 (pow eps 3)) (* -1/16 (/ (pow eps 6) (pow x 3)))) (+ (* 1/8 (/ (pow eps 5) (pow x 2))) (* 1/4 (/ (pow eps 4) x)))) x)>
#<alt (* -1/2 (/ (pow eps 3) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (pow eps 4) x)) (* 1/2 (pow eps 3))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 5) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 6) x)) (* -1/8 (pow eps 5))) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))>
#<alt (* -2 (* eps x))>
#<alt (* eps (- eps (* 2 x)))>
#<alt (* eps (- eps (* 2 x)))>
#<alt (* eps (- eps (* 2 x)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (+ (* -2 (* eps x)) (pow eps 2))>
#<alt (+ (* -2 (* eps x)) (pow eps 2))>
#<alt (+ (* -2 (* eps x)) (pow eps 2))>
#<alt (* -2 (* eps x))>
#<alt (* x (- (/ (pow eps 2) x) (* 2 eps)))>
#<alt (* x (- (/ (pow eps 2) x) (* 2 eps)))>
#<alt (* x (- (/ (pow eps 2) x) (* 2 eps)))>
#<alt (* -2 (* eps x))>
#<alt (* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))>
#<alt (* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))>
#<alt (* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(/ (* eps (* eps (* eps eps))) (- (* eps eps) (* eps (* x 2))))
0.0ms	x	@	inf	(/ (* eps (* eps (* eps eps))) (- (* eps eps) (* eps (* x 2))))
0.0ms	x	@	-inf	(/ (* eps (* eps (* eps eps))) (- (* eps eps) (* eps (* x 2))))
0.0ms	eps	@	inf	(/ (* eps (* eps (* eps eps))) (- (* eps eps) (* eps (* x 2))))
0.0ms	eps	@	-inf	(/ (* eps (* eps (* eps eps))) (- (* eps eps) (* eps (* x 2))))

rewrite250.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3930×	`-lowering-.f32`
3930×	`-lowering-.f64`
2358×	`/-lowering-/.f32`
2358×	`/-lowering-/.f64`
1792×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	60	24
2	451	22
3	6175	22
0	8018	22

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 352

Calls

Call 1

Inputs
(/ (* eps (* eps (* eps eps))) (- (* eps eps) (* eps (* x 2))))
(- (* eps eps) (* eps (* x 2)))
(* eps (* eps (* eps eps)))
(* eps (* eps eps))

Outputs
(+.f64 (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))))))
(+.f64 (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (.f64 eps (.f64 eps (.f64 eps eps)))))
(+.f64 (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))))) (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 eps (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 eps eps)) (.f64 (.f64 (/.f64 eps (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 eps (*.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 eps (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 eps (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (/.f64 eps (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))))) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))))))
(+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))))))
(+.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))))) (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 x x))))))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (/.f64 eps (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 (/.f64 eps (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps eps) (+.f64 eps (*.f64 x #s(literal -2 binary64)))))))
(+.f64 (.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 (/.f64 eps (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps eps) (+.f64 eps (.f64 x #s(literal -2 binary64)))))) (.f64 (.f64 eps eps) (.f64 (/.f64 eps (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 eps eps) (+.f64 eps (*.f64 x #s(literal -2 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps)) (*.f64 eps eps))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 eps (.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) (.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps (.f64 x (.f64 eps x)))) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps (.f64 x (.f64 eps x)))) (.f64 (.f64 eps x) (.f64 eps (.f64 x (.f64 eps x))))) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))))))) (+.f64 (.f64 (.f64 (.f64 (.f64 eps x) (.f64 eps (.f64 x (.f64 eps x)))) #s(literal 8 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))))))) (.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (.f64 x #s(literal 2 binary64))))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))) eps) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) eps) (+.f64 eps (*.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(.f64 eps (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps (.f64 x #s(literal -2 binary64))))))
(.f64 eps (/.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))))))
(.f64 (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 x #s(literal -2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -2 binary64))) (*.f64 eps eps))))))
(.f64 (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))))) (/.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 x #s(literal 2 binary64))))))))
(.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))))) (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))))))))
(.f64 #s(literal 1 binary64) (.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) (+.f64 eps (.f64 x #s(literal -2 binary64)))))
(.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) eps)
(.f64 (+.f64 eps (.f64 x #s(literal -2 binary64))) (/.f64 eps #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 eps (.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 eps x) #s(literal 0 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 eps x) #s(literal 0 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) eps)) (+.f64 eps (.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))) eps) (/.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64)))) (+.f64 eps (.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))))) (.f64 eps (+.f64 eps (*.f64 x #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))) (.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))))))) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))) (.f64 eps (.f64 eps (.f64 eps eps)))))))
(.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))) (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))))))) (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps eps) (.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 eps)) (.f64 #s(literal 2 binary64) (log.f64 eps))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(pow.f64 eps #s(literal 4 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64))
(.f64 eps (.f64 eps (*.f64 eps eps)))
(.f64 eps (.f64 eps (.f64 eps (.f64 eps #s(literal 1 binary64)))))
(.f64 eps (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 (.f64 eps eps) (*.f64 eps eps))
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 1 binary64))))
(.f64 (.f64 eps eps) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps))))
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(.f64 (.f64 eps (.f64 eps eps)) (.f64 eps #s(literal 1 binary64)))
(.f64 (.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 #s(literal 0 binary64) eps)))
(.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 0 binary64) eps))
(.f64 (pow.f64 eps #s(literal 3/2 binary64)) (.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (*.f64 eps eps)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps)))) eps)
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps))) (*.f64 eps eps))
(.f64 (.f64 eps (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 eps)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 eps)) #s(literal 3/2 binary64)))
(pow.f64 eps #s(literal 3 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))
(.f64 eps (.f64 eps eps))
(.f64 (.f64 eps eps) eps)
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 eps eps) #s(literal 3/4 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3/4 binary64)))

simplify229.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3098×	`-lowering-.f32`
3098×	`-lowering-.f64`
2158×	`fma-lowering-fma.f32`
2158×	`fma-lowering-fma.f64`
1770×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	665
1	489	602
2	1408	578
3	4693	572
0	8264	572

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -1/2 (/ (pow eps 3) x))
(* (pow eps 3) (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow eps 3) (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))
(* (pow eps 3) (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps))))
(* (pow eps 2) (- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps))))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* x (- (* 4 x) (* -2 eps))) (pow eps 2))
(+ (* x (- (* x (+ 4 (* 8 (/ x eps)))) (* -2 eps))) (pow eps 2))
(* -1/2 (/ (pow eps 3) x))
(/ (+ (* -1/2 (pow eps 3)) (* -1/4 (/ (pow eps 4) x))) x)
(/ (- (+ (* -1/2 (pow eps 3)) (* -1/8 (/ (pow eps 5) (pow x 2)))) (* 1/4 (/ (pow eps 4) x))) x)
(/ (- (+ (* -1/2 (pow eps 3)) (* -1/16 (/ (pow eps 6) (pow x 3)))) (+ (* 1/8 (/ (pow eps 5) (pow x 2))) (* 1/4 (/ (pow eps 4) x)))) x)
(* -1/2 (/ (pow eps 3) x))
(* -1 (/ (+ (* 1/4 (/ (pow eps 4) x)) (* 1/2 (pow eps 3))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 5) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 6) x)) (* -1/8 (pow eps 5))) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))
(* -2 (* eps x))
(* eps (- eps (* 2 x)))
(* eps (- eps (* 2 x)))
(* eps (- eps (* 2 x)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(pow eps 2)
(+ (* -2 (* eps x)) (pow eps 2))
(+ (* -2 (* eps x)) (pow eps 2))
(+ (* -2 (* eps x)) (pow eps 2))
(* -2 (* eps x))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(* -2 (* eps x))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 4)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)

Outputs
(* -1/2 (/ (pow eps 3) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps eps))) x)
(* (pow eps 3) (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (.f64 eps #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow eps 3) (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (+.f64 (/.f64 (.f64 eps #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow eps 3) (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (/.f64 (.f64 eps #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)))
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) eps))))
(* (pow eps 2) (- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 4 binary64) (.f64 (/.f64 x eps) #s(literal 8 binary64))))) eps)) eps))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 4 binary64) (.f64 (/.f64 x eps) #s(literal 8 binary64))))) eps)) eps))))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(+ (* x (- (* 4 x) (* -2 eps))) (pow eps 2))
(+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))))
(+ (* x (- (* x (+ 4 (* 8 (/ x eps)))) (* -2 eps))) (pow eps 2))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 4 binary64) (.f64 (/.f64 x eps) #s(literal 8 binary64))))) (.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(* -1/2 (/ (pow eps 3) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps eps))) x)
(/ (+ (* -1/2 (pow eps 3)) (* -1/4 (/ (pow eps 4) x))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (*.f64 eps eps)) eps) (/.f64 #s(literal -1/4 binary64) x))) x)
(/ (- (+ (* -1/2 (pow eps 3)) (* -1/8 (/ (pow eps 5) (pow x 2)))) (* 1/4 (/ (pow eps 4) x))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps (.f64 eps eps)) eps))) x)) x)
(/ (- (+ (* -1/2 (pow eps 3)) (* -1/16 (/ (pow eps 6) (pow x 3)))) (+ (* 1/8 (/ (pow eps 5) (pow x 2))) (* 1/4 (/ (pow eps 4) x)))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 6 binary64))) x)) x) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps (*.f64 eps eps)) eps))) x)) x)
(* -1/2 (/ (pow eps 3) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps eps))) x)
(* -1 (/ (+ (* 1/4 (/ (pow eps 4) x)) (* 1/2 (pow eps 3))) x))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (*.f64 eps eps)) eps) (/.f64 #s(literal -1/4 binary64) x))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 5) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps (.f64 eps eps)) eps))) x)) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 6) x)) (* -1/8 (pow eps 5))) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 6 binary64))) x)) x) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps (*.f64 eps eps)) eps))) x)) x)
(* -2 (* eps x))
(.f64 x (.f64 eps #s(literal -2 binary64)))
(* eps (- eps (* 2 x)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* eps (- eps (* 2 x)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* eps (- eps (* 2 x)))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)))
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)))
(pow eps 2)
(*.f64 eps eps)
(+ (* -2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(+ (* -2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(+ (* -2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 x #s(literal -2 binary64))))
(* -2 (* eps x))
(.f64 x (.f64 eps #s(literal -2 binary64)))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(.f64 x (.f64 eps (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(.f64 x (.f64 eps (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(* x (- (/ (pow eps 2) x) (* 2 eps)))
(.f64 x (.f64 eps (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(* -2 (* eps x))
(.f64 x (.f64 eps #s(literal -2 binary64)))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(.f64 x (.f64 eps (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(.f64 x (.f64 eps (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* -2 eps))))
(.f64 x (.f64 eps (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 4)
(.f64 (.f64 eps (*.f64 eps eps)) eps)
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))

eval43.0ms (0.6%)

Compiler: Compiled 14240 to 1079 computations (92.4% saved)

prune112.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	423	1	424
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	424	5	429

Accuracy

100.0%

Counts

429 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.1%	(/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps))
✓	100.0%	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
✓	100.0%	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
✓	61.9%	(.f64 eps (.f64 #s(literal 2 binary64) x))
✓	72.4%	(*.f64 eps eps)

Compiler

Compiled 45 to 30 computations (33.3% saved)

simplify124.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (*.f64 x #s(literal 2 binary64)) eps)
✓	cost-diff	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps))
✓	cost-diff	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps)
✓	cost-diff	(/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps))

Rules

2302×	`fma-define`
2194×	`fnmadd-define`
1784×	`sum3-define`
1282×	`fmsub-define`
1198×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	21	39
2	46	35
3	107	35
4	230	35
5	398	35
6	653	35
7	979	35
8	1991	35
9	5042	35
10	6599	35
11	6760	35
12	6982	35
0	8032	35

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ eps (/ (- 1 (/ (* x 2) eps)) eps))
eps
(/ (- 1 (/ (* x 2) eps)) eps)
(- 1 (/ (* x 2) eps))
1
(/ (* x 2) eps)
(* x 2)
x
2

Outputs
(/ eps (/ (- 1 (/ (* x 2) eps)) eps))
(/.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps)))
eps
(/ (- 1 (/ (* x 2) eps)) eps)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps)
(- 1 (/ (* x 2) eps))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps))
1
#s(literal 1 binary64)
(/ (* x 2) eps)
(/.f64 (*.f64 x #s(literal 2 binary64)) eps)
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)

localize56.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps)
✓	accuracy	99.8%	(/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps))

Results

46.0ms

256×

valid

Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions

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

ival-div: 18.0ms (81.3% of total)

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

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

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

Inputs
#<alt (/ eps (/ (- 1 (/ (* x 2) eps)) eps))>
#<alt (/ (- 1 (/ (* x 2) eps)) eps)>
#<alt (- 1 (/ (* x 2) eps))>
#<alt (/ (* x 2) eps)>
#<alt (* x 2)>

Outputs
#<alt (* -1/2 (/ (pow eps 3) x))>
#<alt (* (pow eps 3) (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow eps 3) (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))>
#<alt (* (pow eps 3) (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps))))>
#<alt (pow eps 2)>
#<alt (+ (* 2 (* eps x)) (pow eps 2))>
#<alt (+ (* x (- (* 4 x) (* -2 eps))) (pow eps 2))>
#<alt (+ (* x (- (* x (+ 4 (* 8 (/ x eps)))) (* -2 eps))) (pow eps 2))>
#<alt (* -1/2 (/ (pow eps 3) x))>
#<alt (/ (+ (* -1/2 (pow eps 3)) (* -1/4 (/ (pow eps 4) x))) x)>
#<alt (/ (- (+ (* -1/2 (pow eps 3)) (* -1/8 (/ (pow eps 5) (pow x 2)))) (* 1/4 (/ (pow eps 4) x))) x)>
#<alt (/ (- (+ (* -1/2 (pow eps 3)) (* -1/16 (/ (pow eps 6) (pow x 3)))) (+ (* 1/8 (/ (pow eps 5) (pow x 2))) (* 1/4 (/ (pow eps 4) x)))) x)>
#<alt (* -1/2 (/ (pow eps 3) x))>
#<alt (* -1 (/ (+ (* 1/4 (/ (pow eps 4) x)) (* 1/2 (pow eps 3))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 5) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 6) x)) (* -1/8 (pow eps 5))) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))>
#<alt (/ 1 eps)>
#<alt (+ (* -2 (/ x (pow eps 2))) (/ 1 eps))>
#<alt (+ (* -2 (/ x (pow eps 2))) (/ 1 eps))>
#<alt (+ (* -2 (/ x (pow eps 2))) (/ 1 eps))>
#<alt (* -2 (/ x (pow eps 2)))>
#<alt (* x (- (/ 1 (* eps x)) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* x (- (/ 1 (* eps x)) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* x (- (/ 1 (* eps x)) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* -2 (/ x (pow eps 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow eps 2))) (/ 1 (* eps x)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow eps 2))) (/ 1 (* eps x)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 (pow eps 2))) (/ 1 (* eps x)))))>
#<alt (* -2 (/ x (pow eps 2)))>
#<alt (/ (+ eps (* -2 x)) (pow eps 2))>
#<alt (/ (+ eps (* -2 x)) (pow eps 2))>
#<alt (/ (+ eps (* -2 x)) (pow eps 2))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -2 (/ x eps))) eps)>
#<alt (/ (+ 1 (* -2 (/ x eps))) eps)>
#<alt (/ (+ 1 (* -2 (/ x eps))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* 2 (/ x eps)) 1) eps))>
#<alt (* -1 (/ (- (* 2 (/ x eps)) 1) eps))>
#<alt (* -1 (/ (- (* 2 (/ x eps)) 1) eps))>
#<alt 1>
#<alt (+ 1 (* -2 (/ x eps)))>
#<alt (+ 1 (* -2 (/ x eps)))>
#<alt (+ 1 (* -2 (/ x eps)))>
#<alt (* -2 (/ x eps))>
#<alt (* x (- (/ 1 x) (* 2 (/ 1 eps))))>
#<alt (* x (- (/ 1 x) (* 2 (/ 1 eps))))>
#<alt (* x (- (/ 1 x) (* 2 (/ 1 eps))))>
#<alt (* -2 (/ x eps))>
#<alt (* -1 (* x (- (* 2 (/ 1 eps)) (/ 1 x))))>
#<alt (* -1 (* x (- (* 2 (/ 1 eps)) (/ 1 x))))>
#<alt (* -1 (* x (- (* 2 (/ 1 eps)) (/ 1 x))))>
#<alt (* -2 (/ x eps))>
#<alt (/ (- eps (* 2 x)) eps)>
#<alt (/ (- eps (* 2 x)) eps)>
#<alt (/ (- eps (* 2 x)) eps)>
#<alt 1>
#<alt (+ 1 (* -2 (/ x eps)))>
#<alt (+ 1 (* -2 (/ x eps)))>
#<alt (+ 1 (* -2 (/ x eps)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ x eps)))>
#<alt (+ 1 (* -2 (/ x eps)))>
#<alt (+ 1 (* -2 (/ x eps)))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 (/ x eps))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(/ (- 1 (/ (* x 2) eps)) eps)
0.0ms	x	@	-inf	(/ (- 1 (/ (* x 2) eps)) eps)
0.0ms	x	@	0	(/ (- 1 (/ (* x 2) eps)) eps)
0.0ms	x	@	inf	(/ (- 1 (/ (* x 2) eps)) eps)
0.0ms	x	@	inf	(/ (* x 2) eps)

rewrite249.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3226×	`-lowering-.f32`
3226×	`-lowering-.f64`
2796×	`/-lowering-/.f32`
2796×	`/-lowering-/.f64`
1820×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	50	35
2	412	31
3	7896	31
0	8258	31

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 325

Calls

Call 1

Inputs
(/ eps (/ (- 1 (/ (* x 2) eps)) eps))
(/ (- 1 (/ (* x 2) eps)) eps)
(- 1 (/ (* x 2) eps))
(/ (* x 2) eps)
(* x 2)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)) eps) eps)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 eps (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps)) (/.f64 eps (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps)))
(neg.f64 (/.f64 eps (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)) eps) eps)))
(/.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)) eps) eps))
(/.f64 (/.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)) eps)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps))
(/.f64 (/.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps))) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps) eps))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps)))
(/.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)))
(/.f64 (.f64 eps (-.f64 #s(literal 0 binary64) eps)) (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)))
(/.f64 (.f64 eps (-.f64 #s(literal 0 binary64) eps)) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))))
(/.f64 (/.f64 eps (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) eps))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps))) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps))
(/.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)))
(/.f64 (/.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64)))))))
(/.f64 (/.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps))))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)) eps) eps) #s(literal -1 binary64))
(.f64 eps (/.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))))
(.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)) eps)))
(.f64 (/.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)) eps)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 eps (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))))
(.f64 (/.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))) eps)
(.f64 (/.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 eps (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps)))
(.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps))))
(.f64 (/.f64 eps (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) eps))
(.f64 (/.f64 eps (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))) (*.f64 eps eps))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))) (/.f64 eps (/.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))) (*.f64 eps (-.f64 #s(literal 0 binary64) eps)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))) (/.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))))) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (*.f64 x #s(literal -2 binary64)))))))
(.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))))) (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64))))))))
(.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)))) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps))))
(.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)))) (/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 eps (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))))
(.f64 (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))) #s(literal 1 binary64)) (/.f64 eps (/.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (/.f64 eps (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) eps))
(.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)) eps) eps) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)) eps) eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps (/.f64 eps (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps))))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (*.f64 x #s(literal -2 binary64))))))
(.f64 (.f64 eps (/.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps)))
(.f64 (.f64 (/.f64 eps (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))) #s(literal -1 binary64)) eps)
(.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (*.f64 x #s(literal -2 binary64))))))
(.f64 (/.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps)))
(.f64 (/.f64 eps (-.f64 eps (/.f64 eps (/.f64 eps (.f64 x #s(literal 2 binary64)))))) (*.f64 eps eps))
(.f64 (/.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps eps))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (/.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps))))))
(.f64 (/.f64 eps (.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)) eps))) (.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps))))
(.f64 (/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps))))) eps)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64))))))
(.f64 (/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps))) eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)))
(.f64 (/.f64 (.f64 eps eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps))))
(.f64 (/.f64 (.f64 eps eps) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (*.f64 x #s(literal -2 binary64)))))))
(.f64 (/.f64 (.f64 eps eps) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)))) (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)) eps) (fma.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps))) x (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) eps)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)) eps) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) eps)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)) eps) (fma.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (.f64 x #s(literal 2 binary64)) eps) (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) eps)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 x #s(literal -2 binary64)) eps)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) eps)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) eps) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps) (/.f64 #s(literal 1 binary64) eps))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 x #s(literal -2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))
(exp.f64 (.f64 (log.f64 (/.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps))
(-.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) eps))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) eps) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) eps))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64)))))) eps) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (*.f64 x #s(literal -2 binary64)))))) eps))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps))) eps) (/.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps))) eps))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (*.f64 x #s(literal -2 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps)))) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)))))
(-.f64 (/.f64 eps (.f64 eps eps)) (/.f64 (/.f64 eps (/.f64 eps (.f64 x #s(literal 2 binary64)))) (*.f64 eps eps)))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 eps eps))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (.f64 x #s(literal -2 binary64)))) (-.f64 (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal -2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (*.f64 x #s(literal -2 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -1 binary64)) (/.f64 eps (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) eps))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 (*.f64 x #s(literal -2 binary64)) eps))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps))
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x #s(literal 2 binary64))))
(/.f64 x (/.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) eps)
(/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) eps)
(pow.f64 (/.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(.f64 x (.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) eps)))
(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) eps))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) eps))
(.f64 (.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) eps) x)
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal -2 binary64)) eps))
(*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) eps)))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 #s(literal -2 binary64) (.f64 x (/.f64 #s(literal -1 binary64) eps)))
(.f64 (/.f64 #s(literal -1 binary64) eps) (.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2 binary64) eps))
(*.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))
(.f64 (pow.f64 (/.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 2 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))

simplify228.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2930×	`-lowering-.f32`
2930×	`-lowering-.f64`
2506×	`fma-lowering-fma.f32`
2506×	`fma-lowering-fma.f64`
1924×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	884
1	530	806
2	1503	774
3	4918	771
0	8081	771

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* -1/2 (/ (pow eps 3) x))
(* (pow eps 3) (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow eps 3) (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))
(* (pow eps 3) (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps))))
(* (pow eps 2) (- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps))))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* x (- (* 4 x) (* -2 eps))) (pow eps 2))
(+ (* x (- (* x (+ 4 (* 8 (/ x eps)))) (* -2 eps))) (pow eps 2))
(* -1/2 (/ (pow eps 3) x))
(/ (+ (* -1/2 (pow eps 3)) (* -1/4 (/ (pow eps 4) x))) x)
(/ (- (+ (* -1/2 (pow eps 3)) (* -1/8 (/ (pow eps 5) (pow x 2)))) (* 1/4 (/ (pow eps 4) x))) x)
(/ (- (+ (* -1/2 (pow eps 3)) (* -1/16 (/ (pow eps 6) (pow x 3)))) (+ (* 1/8 (/ (pow eps 5) (pow x 2))) (* 1/4 (/ (pow eps 4) x)))) x)
(* -1/2 (/ (pow eps 3) x))
(* -1 (/ (+ (* 1/4 (/ (pow eps 4) x)) (* 1/2 (pow eps 3))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 5) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 6) x)) (* -1/8 (pow eps 5))) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))
(/ 1 eps)
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps))
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps))
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps))
(* -2 (/ x (pow eps 2)))
(* x (- (/ 1 (* eps x)) (* 2 (/ 1 (pow eps 2)))))
(* x (- (/ 1 (* eps x)) (* 2 (/ 1 (pow eps 2)))))
(* x (- (/ 1 (* eps x)) (* 2 (/ 1 (pow eps 2)))))
(* -2 (/ x (pow eps 2)))
(* -1 (* x (- (* 2 (/ 1 (pow eps 2))) (/ 1 (* eps x)))))
(* -1 (* x (- (* 2 (/ 1 (pow eps 2))) (/ 1 (* eps x)))))
(* -1 (* x (- (* 2 (/ 1 (pow eps 2))) (/ 1 (* eps x)))))
(* -2 (/ x (pow eps 2)))
(/ (+ eps (* -2 x)) (pow eps 2))
(/ (+ eps (* -2 x)) (pow eps 2))
(/ (+ eps (* -2 x)) (pow eps 2))
(/ 1 eps)
(/ (+ 1 (* -2 (/ x eps))) eps)
(/ (+ 1 (* -2 (/ x eps))) eps)
(/ (+ 1 (* -2 (/ x eps))) eps)
(/ 1 eps)
(* -1 (/ (- (* 2 (/ x eps)) 1) eps))
(* -1 (/ (- (* 2 (/ x eps)) 1) eps))
(* -1 (/ (- (* 2 (/ x eps)) 1) eps))
1
(+ 1 (* -2 (/ x eps)))
(+ 1 (* -2 (/ x eps)))
(+ 1 (* -2 (/ x eps)))
(* -2 (/ x eps))
(* x (- (/ 1 x) (* 2 (/ 1 eps))))
(* x (- (/ 1 x) (* 2 (/ 1 eps))))
(* x (- (/ 1 x) (* 2 (/ 1 eps))))
(* -2 (/ x eps))
(* -1 (* x (- (* 2 (/ 1 eps)) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 eps)) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 eps)) (/ 1 x))))
(* -2 (/ x eps))
(/ (- eps (* 2 x)) eps)
(/ (- eps (* 2 x)) eps)
(/ (- eps (* 2 x)) eps)
1
(+ 1 (* -2 (/ x eps)))
(+ 1 (* -2 (/ x eps)))
(+ 1 (* -2 (/ x eps)))
1
(+ 1 (* -2 (/ x eps)))
(+ 1 (* -2 (/ x eps)))
(+ 1 (* -2 (/ x eps)))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 (/ x eps))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
(* -1/2 (/ (pow eps 3) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps eps))) x)
(* (pow eps 3) (- (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (.f64 (/.f64 eps x) #s(literal -1/4 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow eps 3) (- (* eps (- (* -1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) eps))) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow eps 3) (- (* eps (- (* eps (- (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (/.f64 (.f64 eps #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) eps))))
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* -2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) eps)))
(* (pow eps 2) (- (+ 1 (* 8 (/ (pow x 3) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (* -2 (/ x eps)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x #s(literal 8 binary64)) eps)))) eps)) eps)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x x) #s(literal 4 binary64)) eps)) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow x 3) eps)) (* -4 (pow x 2))) eps)) (* 2 x)) eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x #s(literal 8 binary64)) eps)))) eps)) eps)))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(+ (* x (- (* 4 x) (* -2 eps))) (pow eps 2))
(+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))))
(+ (* x (- (* x (+ 4 (* 8 (/ x eps)))) (* -2 eps))) (pow eps 2))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x #s(literal 8 binary64)) eps)))) (.f64 eps (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(* -1/2 (/ (pow eps 3) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps eps))) x)
(/ (+ (* -1/2 (pow eps 3)) (* -1/4 (/ (pow eps 4) x))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (*.f64 eps eps)) eps) (/.f64 #s(literal -1/4 binary64) x))) x)
(/ (- (+ (* -1/2 (pow eps 3)) (* -1/8 (/ (pow eps 5) (pow x 2)))) (* 1/4 (/ (pow eps 4) x))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps (.f64 eps eps)) eps))) x)) x)
(/ (- (+ (* -1/2 (pow eps 3)) (* -1/16 (/ (pow eps 6) (pow x 3)))) (+ (* 1/8 (/ (pow eps 5) (pow x 2))) (* 1/4 (/ (pow eps 4) x)))) x)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 eps #s(literal 6 binary64))) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps (.f64 eps eps)) eps)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) x)) x)
(* -1/2 (/ (pow eps 3) x))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps eps))) x)
(* -1 (/ (+ (* 1/4 (/ (pow eps 4) x)) (* 1/2 (pow eps 3))) x))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (*.f64 eps eps)) eps) (/.f64 #s(literal -1/4 binary64) x))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1/8 (/ (pow eps 5) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps (.f64 eps eps)) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 6) x)) (* -1/8 (pow eps 5))) x)) (* 1/4 (pow eps 4))) x)) (* 1/2 (pow eps 3))) x))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps (.f64 eps eps)) eps)) (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/16 binary64)) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 5 binary64)))) x)) x)) x)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(* -2 (/ x (pow eps 2)))
(.f64 #s(literal -2 binary64) (/.f64 x (.f64 eps eps)))
(* x (- (/ 1 (* eps x)) (* 2 (/ 1 (pow eps 2)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(* x (- (/ 1 (* eps x)) (* 2 (/ 1 (pow eps 2)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(* x (- (/ 1 (* eps x)) (* 2 (/ 1 (pow eps 2)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(* -2 (/ x (pow eps 2)))
(.f64 #s(literal -2 binary64) (/.f64 x (.f64 eps eps)))
(* -1 (* x (- (* 2 (/ 1 (pow eps 2))) (/ 1 (* eps x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(* -1 (* x (- (* 2 (/ 1 (pow eps 2))) (/ 1 (* eps x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(* -1 (* x (- (* 2 (/ 1 (pow eps 2))) (/ 1 (* eps x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(* -2 (/ x (pow eps 2)))
(.f64 #s(literal -2 binary64) (/.f64 x (.f64 eps eps)))
(/ (+ eps (* -2 x)) (pow eps 2))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(/ (+ eps (* -2 x)) (pow eps 2))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(/ (+ eps (* -2 x)) (pow eps 2))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (* -2 (/ x eps))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(/ (+ 1 (* -2 (/ x eps))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(/ (+ 1 (* -2 (/ x eps))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* 2 (/ x eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(* -1 (/ (- (* 2 (/ x eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
(* -1 (/ (- (* 2 (/ x eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps))) eps)
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(+ 1 (* -2 (/ x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(+ 1 (* -2 (/ x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(* -2 (/ x eps))
(*.f64 x (/.f64 #s(literal -2 binary64) eps))
(* x (- (/ 1 x) (* 2 (/ 1 eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(* x (- (/ 1 x) (* 2 (/ 1 eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(* x (- (/ 1 x) (* 2 (/ 1 eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(* -2 (/ x eps))
(*.f64 x (/.f64 #s(literal -2 binary64) eps))
(* -1 (* x (- (* 2 (/ 1 eps)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(* -1 (* x (- (* 2 (/ 1 eps)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(* -1 (* x (- (* 2 (/ 1 eps)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(* -2 (/ x eps))
(*.f64 x (/.f64 #s(literal -2 binary64) eps))
(/ (- eps (* 2 x)) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(/ (- eps (* 2 x)) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(/ (- eps (* 2 x)) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(+ 1 (* -2 (/ x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(+ 1 (* -2 (/ x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(+ 1 (* -2 (/ x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(+ 1 (* -2 (/ x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) eps)))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 (/ x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval63.0ms (0.9%)

Compiler: Compiled 10300 to 1190 computations (88.4% saved)

prune83.0ms (1.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	432	1	433
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	432	6	438

Accuracy

100.0%

Counts

438 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.1%	(/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps))
	72.2%	(/.f64 eps (/.f64 #s(literal 1 binary64) eps))
✓	100.0%	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
✓	100.0%	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
✓	61.9%	(.f64 eps (.f64 #s(literal 2 binary64) x))
✓	72.4%	(*.f64 eps eps)

Compiler

Compiled 147 to 70 computations (52.4% saved)

regimes10.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 #s(literal 2 binary64) x))
(/.f64 eps (/.f64 #s(literal 1 binary64) eps))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
(/.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)) eps))
(/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 eps eps) (.f64 eps (.f64 x #s(literal 2 binary64)))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Outputs
(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))

Calls

3 calls:

3.0ms	eps
3.0ms	x
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 #s(literal 2 binary64) x))
(/.f64 eps (/.f64 #s(literal 1 binary64) eps))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))

Outputs
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 #s(literal 2 binary64) x))
(/.f64 eps (/.f64 #s(literal 1 binary64) eps))

Outputs
(.f64 eps (.f64 #s(literal 2 binary64) x))
(*.f64 eps eps)
(.f64 eps (.f64 #s(literal 2 binary64) x))

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
93.0%	3	`x`
88.5%	3	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)

Outputs
(*.f64 eps eps)

Calls

2 calls:

1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
72.4%	1	`eps`
72.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch43.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.5572188345145291e-74	3.1993909657427134e-73
20.0ms	-8.078354854386087e-115	-2.3889579025713868e-117

Results

27.0ms	163×	1	valid
5.0ms	77×	0	valid

Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions

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

ival-pow: 9.0ms (49.9% of total)

ival-add: 4.0ms (22.2% of total)

backward-pass: 3.0ms (16.6% of total)

ival-sub: 2.0ms (11.1% of total)

const: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	36	36
2	57	36
3	67	36
4	73	36
5	74	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (.f64 eps (.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 496527519231531/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (.f64 eps eps) (.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps eps)

Outputs
(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (.f64 eps (.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 496527519231531/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (.f64 eps eps) (.f64 eps (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 496527519231531/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (.f64 eps eps) (.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 eps eps)

soundness1.0s (14.8%)

Rules

3162×	`-lowering-.f32`
3162×	`-lowering-.f64`
2604×	`/-lowering-/.f32`
2604×	`/-lowering-/.f64`
2068×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	26	15
2	205	13
3	2142	13
0	9232	13
0	7	9
1	12	7
2	36	7
3	107	7
4	504	6
5	1631	6
6	3488	6
0	8225	6
0	40	288
1	133	249
2	338	249
3	924	249
4	2739	249
5	6873	249
0	8413	249

Stop Event

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

Compiler

Compiled 115 to 66 computations (42.6% saved)

preprocess28.0ms (0.4%)

Compiler: Compiled 106 to 50 computations (52.8% saved)

analyze0.0ms (0%)

sample1.7s (24.6%)

preprocess205.0ms (2.9%)

explain142.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify43.0ms (0.6%)

localize30.0ms (0.4%)

series4.0ms (0.1%)

rewrite320.0ms (4.6%)

simplify381.0ms (5.5%)

eval50.0ms (0.7%)

prune68.0ms (1%)

simplify188.0ms (2.7%)

localize103.0ms (1.5%)

series14.0ms (0.2%)

rewrite464.0ms (6.7%)

simplify161.0ms (2.3%)

eval169.0ms (2.4%)

prune119.0ms (1.7%)

simplify157.0ms (2.2%)

localize51.0ms (0.7%)

series3.0ms (0%)

rewrite250.0ms (3.6%)

simplify229.0ms (3.3%)

eval43.0ms (0.6%)

prune112.0ms (1.6%)

simplify124.0ms (1.8%)

localize56.0ms (0.8%)

series8.0ms (0.1%)

rewrite249.0ms (3.6%)

simplify228.0ms (3.3%)

eval63.0ms (0.9%)

prune83.0ms (1.2%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch43.0ms (0.6%)

simplify10.0ms (0.1%)

soundness1.0s (14.8%)

preprocess28.0ms (0.4%)

end0.0ms (0%)

Profiling