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)

sample1.6s (26.8%)

Results

602.0ms	2502×	1	valid
476.0ms	5167×	0	valid
140.0ms	587×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 872.0ms

ival-pow: 388.0ms (44.5% of total)

ival-<=: 217.0ms (24.9% of total)

ival-add: 82.0ms (9.4% of total)

ival-sub: 75.0ms (8.6% of total)

backward-pass: 63.0ms (7.2% of total)

ival-and: 25.0ms (2.9% of total)

const: 23.0ms (2.6% of total)

Bogosity

preprocess211.0ms (3.6%)

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))

explain105.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
66	0	-	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`x`
0	78	(4.562293752360959e-116 -3.8865108276649797e-283)	-	`(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

29.0ms	158×	1	valid
27.0ms	326×	0	valid
10.0ms	28×	2	valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

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

ival-pow: 15.0ms (49.7% of total)

ival-add: 6.0ms (19.9% of total)

ival-sub: 5.0ms (16.6% of total)

backward-pass: 4.0ms (13.3% of total)

const: 1.0ms (3.3% of total)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

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)

simplify46.0ms (0.8%)

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)

localize23.0ms (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

15.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (73.6% of total)

ival-sub: 1.0ms (18.4% 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	@	0	(* eps (- eps (* x -2)))
0.0ms	eps	@	inf	(* eps (- eps (* x -2)))
0.0ms	x	@	inf	(* eps (- eps (* x -2)))
0.0ms	x	@	-inf	(* x -2)

rewrite308.0ms (5.2%)

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))
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(.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)))

simplify138.0ms (2.3%)

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))

eval29.0ms (0.5%)

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

prune31.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	262	5	267
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	262	6	268

Accuracy

100.0%

Counts

268 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.9%	(/.f64 (.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64)))) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
▶	100.0%	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
▶	99.8%	(.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))
✓	100.0%	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
▶	69.1%	(.f64 eps (.f64 #s(literal 2 binary64) x))
▶	76.2%	(*.f64 eps eps)

Compiler

Compiled 135 to 88 computations (34.8% saved)

simplify179.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(+.f64 (.f64 eps eps) (.f64 (*.f64 x x) #s(literal -4 binary64)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal -2 binary64)))) eps)
✓	cost-diff	128	(.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))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(+.f64 (.f64 eps eps) (.f64 (*.f64 x x) #s(literal -4 binary64)))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64))))
✓	cost-diff	0	(/.f64 (.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64)))) (+.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)
✓	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))))

Rules

2558×	`fma-define`
2126×	`sum3-define`
1670×	`fma-lowering-fma.f32`
1670×	`fma-lowering-fma.f64`
1544×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	142
1	64	130
2	154	130
3	394	129
4	717	129
5	1122	129
6	1782	129
7	3913	129
8	4530	129
9	7063	129
0	8088	129

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize102.0ms (1.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -4 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x #s(literal -2 binary64))))
✓	accuracy	99.8%	(.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))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (.f64 x #s(literal -2 binary64)))) eps)
✓	accuracy	100.0%	(+.f64 (.f64 eps eps) (.f64 (*.f64 x x) #s(literal -4 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -4 binary64))
✓	accuracy	99.9%	(.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64))))
✓	accuracy	84.8%	(/.f64 (.f64 eps (+.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal -4 binary64)))) (+.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)
✓	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))))

Results

64.0ms

256×

valid

Compiler

Compiled 169 to 22 computations (87% saved)

Precisions

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

ival-mult: 17.0ms (69.2% of total)

ival-div: 3.0ms (12.2% of total)

ival-add: 2.0ms (8.1% of total)

ival-sub: 1.0ms (4.1% of total)

const: 1.0ms (4.1% of total)

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

series17.0ms (0.3%)

Counts

13 → 264

Calls

Call 1

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

Calls

66 calls:

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

rewrite383.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3820×	`-lowering-.f32`
3820×	`-lowering-.f64`
2890×	`/-lowering-/.f32`
2890×	`/-lowering-/.f64`
1542×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	73
1	117	68
2	899	68
0	8665	68

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 971

Calls

Call 1

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

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

simplify252.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

5180×	`-lowering-.f32`
5180×	`-lowering-.f64`
1576×	`fma-lowering-fma.f32`
1576×	`fma-lowering-fma.f64`
1532×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	2178
1	860	1883
2	2429	1828
0	8126	1828

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

Outputs
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps 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 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) 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 #s(literal 2 binary64) x) eps)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(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 #s(literal 2 binary64) (.f64 eps x))
(* x (- (/ (pow eps 2) x) (* -2 eps)))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* x (- (/ (pow eps 2) x) (* -2 eps)))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* x (- (/ (pow eps 2) x) (* -2 eps)))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* -1 (* x (- (* -1 (/ (pow eps 2) x)) (* 2 eps))))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(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 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 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps 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 #s(literal 2 binary64) (.f64 eps 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 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) 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 #s(literal 2 binary64) x) eps)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(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 #s(literal 2 binary64) (.f64 eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(.f64 x (.f64 eps (+.f64 (/.f64 eps 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 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
(* -4 (* eps (pow x 2)))
(.f64 eps (.f64 x (*.f64 x #s(literal -4 binary64))))
(* eps (+ (* -4 (pow x 2)) (pow eps 2)))
(.f64 eps (+.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal -4 binary64)))))
(* eps (+ (* -4 (pow x 2)) (pow eps 2)))
(.f64 eps (+.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal -4 binary64)))))
(* eps (+ (* -4 (pow x 2)) (pow eps 2)))
(.f64 eps (+.f64 (.f64 eps eps) (.f64 x (.f64 x #s(literal -4 binary64)))))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* (pow eps 3) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal -4 binary64))) (.f64 eps eps))))
(* (pow eps 3) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal -4 binary64))) (.f64 eps eps))))
(* (pow eps 3) (+ 1 (* -4 (/ (pow x 2) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal -4 binary64))) (.f64 eps eps))))
(pow eps 3)
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(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 (.f64 (*.f64 eps eps) #s(literal 1/8 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow eps 3) x)) (* -1/8 (pow eps 2))) x)) (* 1/4 eps)) x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 eps #s(literal -1/4 binary64)) (/.f64 (+.f64 (.f64 (.f64 eps (/.f64 (.f64 eps eps) x)) #s(literal 1/16 binary64)) (.f64 (.f64 eps eps) #s(literal 1/8 binary64))) x)) x)) x)

eval157.0ms (2.6%)

Compiler: Compiled 50419 to 1784 computations (96.5% saved)

prune85.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1446	2	1448
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1448	6	1454

Accuracy

100.0%

Counts

1454 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
▶	89.5%	(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
▶	99.8%	(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
✓	100.0%	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
✓	69.1%	(.f64 eps (.f64 #s(literal 2 binary64) x))
✓	76.2%	(*.f64 eps eps)

Compiler

Compiled 56 to 37 computations (33.9% saved)

simplify287.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) x) eps)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	256	(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
✓	cost-diff	0	(/.f64 eps x)
✓	cost-diff	0	(+.f64 (/.f64 eps x) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))

Rules

6098×	`-lowering-.f32`
6098×	`-lowering-.f64`
2824×	`/-lowering-/.f32`
2824×	`/-lowering-/.f64`
2582×	`cube-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	40	56
2	111	56
3	240	56
4	494	50
5	729	50
6	1520	50
7	2941	50
8	3908	50
9	4742	50
10	5915	50
11	6507	50
12	7034	50
13	7240	50
14	7330	50
15	7336	50
0	8068	50

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize49.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps))
✓	accuracy	89.5%	(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
✓	accuracy	100.0%	(/.f64 eps x)
✓	accuracy	100.0%	(+.f64 (/.f64 eps x) #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64)))

Results

34.0ms

256×

valid

Compiler

Compiled 63 to 14 computations (77.8% saved)

Precisions

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

ival-mult: 8.0ms (52.1% of total)

ival-div: 4.0ms (26% of total)

ival-add: 3.0ms (19.5% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

9 → 192

Calls

Call 1

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

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

48 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* x (* eps (+ (/ eps x) 2)))
1.0ms	x	@	-inf	(* x (* eps (+ (/ eps x) 2)))
1.0ms	eps	@	0	(* x (* eps (+ (/ eps x) 2)))
0.0ms	eps	@	-inf	(* x (* eps (+ (/ eps x) 2)))
0.0ms	x	@	0	(* (* eps eps) (+ 1 (/ (* 2 x) eps)))

rewrite325.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4154×	`-lowering-.f32`
4154×	`-lowering-.f64`
2810×	`/-lowering-/.f32`
2810×	`/-lowering-/.f64`
1084×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	80	49
2	658	47
3	7958	47
0	8064	47

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 326

Calls

Call 1

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

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

simplify191.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2598×	`-lowering-.f32`
2598×	`-lowering-.f64`
1848×	`times-frac`
1064×	`fmsub-define`
1014×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	996
1	127	885
2	329	885
3	831	885
4	3249	885
5	7624	885
0	8101	885

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

eval128.0ms (2.2%)

Compiler: Compiled 10176 to 1090 computations (89.3% saved)

prune74.0ms (1.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	518	0	518
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	518	6	524

Accuracy

100.0%

Counts

524 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x #s(literal -2 binary64))))
✓	89.5%	(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) eps)))
✓	99.8%	(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))
✓	100.0%	(.f64 eps (-.f64 eps (.f64 x #s(literal -2 binary64))))
✓	69.1%	(.f64 eps (.f64 #s(literal 2 binary64) x))
✓	76.2%	(*.f64 eps eps)

Compiler

Compiled 147 to 71 computations (51.7% saved)

regimes12.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

6.0ms	x
3.0ms	eps
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 eps (.f64 x #s(literal -2 binary64))))
(.f64 x (.f64 eps (+.f64 (/.f64 eps x) #s(literal 2 binary64))))

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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
1.0ms	x

Results

Accuracy	Segments	Branch
94.6%	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
76.2%	1	`eps`
76.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch40.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.5279410785700585e-122	1.2972276480986992e-119
20.0ms	-8.557369872378815e-106	-5.404796115655432e-110

Results

21.0ms	166×	1	valid
6.0ms	90×	0	valid

Compiler

Compiled 240 to 171 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 9.0ms (56.1% of total)

ival-add: 3.0ms (18.7% of total)

ival-sub: 2.0ms (12.5% of total)

backward-pass: 2.0ms (12.5% of total)

const: 0.0ms (0% of total)

simplify9.0ms (0.2%)

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 -1374996415083717/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (.f64 eps (.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 6686916263519583/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 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 -1374996415083717/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (.f64 eps (.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 6686916263519583/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (.f64 eps eps) (.f64 eps (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -1374996415083717/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 6686916263519583/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (.f64 eps eps) (.f64 eps (*.f64 x #s(literal 2 binary64)))))
(*.f64 eps eps)

soundness1.1s (18.7%)

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

Stop Event

1×	done
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 (0.5%)

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

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

analyze0.0ms (0%)

sample1.6s (26.8%)

preprocess211.0ms (3.6%)

explain105.0ms (1.8%)

eval0.0ms (0%)

prune4.0ms (0.1%)

simplify46.0ms (0.8%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

rewrite308.0ms (5.2%)

simplify138.0ms (2.3%)

eval29.0ms (0.5%)

prune31.0ms (0.5%)

simplify179.0ms (3%)

localize102.0ms (1.7%)

series17.0ms (0.3%)

rewrite383.0ms (6.4%)

simplify252.0ms (4.2%)

eval157.0ms (2.6%)

prune85.0ms (1.4%)

simplify287.0ms (4.8%)

localize49.0ms (0.8%)

series13.0ms (0.2%)

rewrite325.0ms (5.5%)

simplify191.0ms (3.2%)

eval128.0ms (2.2%)

prune74.0ms (1.2%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

bsearch40.0ms (0.7%)

simplify9.0ms (0.2%)

soundness1.1s (18.7%)

preprocess28.0ms (0.5%)

end0.0ms (0%)

Profiling