Metrics for subtraction fraction

analyze14.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-sub: 1.0ms (19.8% of total)

ival-div: 1.0ms (19.8% of total)

ival-add: 1.0ms (19.8% of total)

ival-neg: 1.0ms (19.8% of total)

const: 0.0ms (0% of total)

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

sample709.0ms (13.2%)

Results

440.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-div: 79.0ms (31.1% of total)

ival-add: 75.0ms (29.5% of total)

ival-sub: 48.0ms (18.9% of total)

ival-neg: 42.0ms (16.5% of total)

const: 7.0ms (2.8% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess113.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

581×	`fma-define`
262×	`fmm-def`
223×	`times-frac`
132×	`div-sub`
91×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	269
1	78	217
2	208	217
3	582	217
4	1490	217
5	2115	217
6	2375	217
7	2443	217
8	2564	217

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n))
(/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n)))
(neg.f64 (/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n))))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n))
(/.f64 (neg.f64 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (+.f64 f n))
(/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n)))
(/.f64 (neg.f64 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (+.f64 f n))
(neg.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n)))
(/.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 (neg.f64 f) n)))
(/.f64 (-.f64 f n) (+.f64 f n))
(neg.f64 (/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n))))
(/.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 (neg.f64 f) n)))
(/.f64 (-.f64 f n) (+.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))

explain50.0ms (0.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`
-	-	`f`
-	-	`n`
-	-	`(-.f64 f n)`
-	-	`(neg.f64 (+.f64 f n))`
-	-	`(+.f64 f n)`

Results

31.0ms

512×

valid

Compiler

Compiled 56 to 20 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31% of total)

ival-sub: 3.0ms (23.3% of total)

ival-add: 3.0ms (23.3% of total)

ival-neg: 3.0ms (23.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize69.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(/.f64 (+.f64 f n) (-.f64 n f))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))

Rules

255×	`fma-define`
232×	`fmm-def`
108×	`times-frac`
97×	`div-sub`
78×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	65
1	14	65
2	19	65
3	27	65
4	37	65
5	62	65
6	103	65
7	156	65
8	257	65
9	509	65
10	1010	65
11	1426	65
12	1428	65
13	1466	65
14	1527	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(-.f64 n f)

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(-.f64 n f)

Results

13.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (38.7% of total)

ival-add: 2.0ms (38.7% of total)

ival-sub: 1.0ms (19.4% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

3 → 63

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 f n) (-.f64 n f))>
#<alt (+.f64 f n)>
#<alt (-.f64 n f)>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 n (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (/.f64 (.f64 n (-.f64 n (.f64 #s(literal -1 binary64) n))) f)) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 n (.f64 #s(literal -1 binary64) n))) f)) (.f64 n (-.f64 n (.f64 #s(literal -1 binary64) n)))) f))) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 f n)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 f (.f64 #s(literal -1 binary64) f))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) n))) n)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 f (.f64 #s(literal -1 binary64) f))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (/.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (.f64 #s(literal -1 binary64) f))) n)) n))) n)))>
#<alt n>
#<alt f>
#<alt (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt f>
#<alt (.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))>
#<alt f>
#<alt n>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))>
#<alt n>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt n>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 f n))))>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 f n))))>
#<alt (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 f n))))>
#<alt n>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (/.f64 f n) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (/.f64 f n) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (/.f64 f n) #s(literal 1 binary64))))>
#<alt n>
#<alt (+.f64 n (*.f64 #s(literal -1 binary64) f))>
#<alt (+.f64 n (*.f64 #s(literal -1 binary64) f))>
#<alt (+.f64 n (*.f64 #s(literal -1 binary64) f))>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 f (-.f64 (/.f64 n f) #s(literal 1 binary64)))>
#<alt (*.f64 f (-.f64 (/.f64 n f) #s(literal 1 binary64)))>
#<alt (*.f64 f (-.f64 (/.f64 n f) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (.f64 #s(literal -1 binary64) (.f64 f (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n f)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 f (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n f)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 f (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n f)))))>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(/ (+ f n) (- n f))
1.0ms	n	@	-inf	(/ (+ f n) (- n f))
1.0ms	n	@	inf	(/ (+ f n) (- n f))
1.0ms	f	@	0	(/ (+ f n) (- n f))
1.0ms	n	@	0	(/ (+ f n) (- n f))

rewrite355.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`log1p-expm1-u`
790×	`expm1-log1p-u`
758×	`prod-diff`
348×	`log-prod`
302×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	131	57
2	2082	57

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
(-.f64 n f)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) #s(literal 1 binary64))
(*.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(neg.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 3 binary64)) (pow.f64 (-.f64 n f) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 f n))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f n)) (/.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 f n)))
(*.f64 (+.f64 f n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 f n))
(*.f64 (cbrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 f n)))
(*.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (+.f64 f n)))
(*.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 n n (-.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 f n))))
(/.f64 (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (-.f64 f n))
(/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (neg.f64 (-.f64 f n)))
(pow.f64 (+.f64 f n) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 f n) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 f n)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 f n)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 f n))))
(log.f64 (*.f64 (exp.f64 f) (+.f64 #s(literal 1 binary64) (expm1.f64 n))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 f)) (exp.f64 n)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 f)) (+.f64 #s(literal 1 binary64) (expm1.f64 n))))
(log.f64 (*.f64 (exp.f64 n) (+.f64 #s(literal 1 binary64) (expm1.f64 f))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (exp.f64 f)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (+.f64 #s(literal 1 binary64) (expm1.f64 f))))
(cbrt.f64 (pow.f64 (+.f64 f n) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 f n)))
(log1p.f64 (expm1.f64 (+.f64 f n)))
(exp.f64 (log.f64 (+.f64 f n)))
(exp.f64 (*.f64 (log.f64 (+.f64 f n)) #s(literal 1 binary64)))
(fma.f64 f #s(literal 1 binary64) n)
(fma.f64 n #s(literal 1 binary64) f)
(fma.f64 #s(literal 1 binary64) f n)
(fma.f64 #s(literal 1 binary64) n f)
(fma.f64 (cbrt.f64 f) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) n)
(fma.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (cbrt.f64 f) n)
(fma.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) f)
(fma.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (cbrt.f64 n) f)
(fma.f64 (sqrt.f64 f) (sqrt.f64 f) n)
(fma.f64 (sqrt.f64 n) (sqrt.f64 n) f)
(+.f64 n (neg.f64 f))
(+.f64 n (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(+.f64 (-.f64 n f) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(+.f64 (-.f64 n f) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(+.f64 (-.f64 n f) (+.f64 (neg.f64 f) f))
(+.f64 (-.f64 n f) (fma.f64 #s(literal -1 binary64) f f))
(+.f64 (-.f64 n f) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 f) f))
(+.f64 (neg.f64 f) n)
(+.f64 #s(literal 0 binary64) (-.f64 n f))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 n f))) (cbrt.f64 (exp.f64 (-.f64 n f))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 n f)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 n f)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 n f)))))
(*.f64 (-.f64 n f) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 n f))
(*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f)))
(*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f)))
(*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(*.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)))
(*.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 f n))
(/.f64 (neg.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (neg.f64 (+.f64 f n)))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (neg.f64 f) #s(literal 3 binary64))) (fma.f64 n n (-.f64 (.f64 (neg.f64 f) (neg.f64 f)) (.f64 n (neg.f64 f)))))
(/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (*.f64 (neg.f64 f) (neg.f64 f))) (-.f64 n (neg.f64 f)))
(/.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 f n))
(/.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 f n)))
(/.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (sqrt.f64 (+.f64 f n))) (sqrt.f64 (+.f64 f n)))
(pow.f64 (-.f64 n f) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 n f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 n f)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 n f) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 n f)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 n f))))
(log.f64 (*.f64 (exp.f64 n) (/.f64 #s(literal 1 binary64) (exp.f64 f))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (/.f64 #s(literal 1 binary64) (exp.f64 f))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (exp.f64 (neg.f64 f))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 f)) (exp.f64 n)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 f)) (+.f64 #s(literal 1 binary64) (expm1.f64 n))))
(log.f64 (*.f64 (exp.f64 (neg.f64 f)) (exp.f64 n)))
(log.f64 (*.f64 (exp.f64 (neg.f64 f)) (+.f64 #s(literal 1 binary64) (expm1.f64 n))))
(log.f64 (/.f64 (exp.f64 n) (+.f64 #s(literal 1 binary64) (expm1.f64 f))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (exp.f64 f)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (+.f64 #s(literal 1 binary64) (expm1.f64 f))))
(cbrt.f64 (pow.f64 (-.f64 n f) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 n f)))
(log1p.f64 (expm1.f64 (-.f64 n f)))
(exp.f64 (log.f64 (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) #s(literal 1 binary64)))
(fma.f64 n #s(literal 1 binary64) (neg.f64 f))
(fma.f64 n #s(literal 1 binary64) (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 (-.f64 n f) #s(literal 1 binary64) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (-.f64 n f) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (-.f64 n f) #s(literal 1 binary64) (+.f64 (neg.f64 f) f))
(fma.f64 #s(literal 1 binary64) n (neg.f64 f))
(fma.f64 #s(literal 1 binary64) n (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 n f) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 #s(literal 1 binary64) (-.f64 n f) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 #s(literal 1 binary64) (-.f64 n f) (+.f64 (neg.f64 f) f))
(fma.f64 #s(literal 1 binary64) (neg.f64 f) n)
(fma.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (+.f64 (neg.f64 f) f))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f)) (+.f64 (neg.f64 f) f))
(fma.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 f)) n)
(fma.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (neg.f64 f))
(fma.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (cbrt.f64 n) (neg.f64 f))
(fma.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (cbrt.f64 n) (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f)) (+.f64 (neg.f64 f) f))
(fma.f64 (sqrt.f64 f) (neg.f64 (sqrt.f64 f)) n)
(fma.f64 (sqrt.f64 n) (sqrt.f64 n) (neg.f64 f))
(fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64)))) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64)))) (+.f64 (neg.f64 f) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 f n)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 f n)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 f n)) (+.f64 (neg.f64 f) f))
(fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) n)
(fma.f64 #s(literal -1 binary64) f n)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f))) (cbrt.f64 (neg.f64 f)) n)
(fma.f64 (sqrt.f64 (neg.f64 f)) (sqrt.f64 (neg.f64 f)) n)
(fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (+.f64 (neg.f64 f) f))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 f) n)
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (+.f64 (neg.f64 f) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (+.f64 (neg.f64 f) f))

simplify414.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

458×	`fmm-def`
318×	`div-sub`
308×	`cancel-sign-sub-inv`
305×	`distribute-lft-neg-in`
279×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	7598
1	1215	7223
2	4152	7038

Stop Event

1×	node limit

Counts

251 → 279

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
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(sqrt.f64 (pow.f64 (-.f64 n f) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 n f)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 n f))))
(log.f64 (*.f64 (exp.f64 n) (/.f64 #s(literal 1 binary64) (exp.f64 f))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (/.f64 #s(literal 1 binary64) (exp.f64 f))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (exp.f64 (neg.f64 f))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 f)) (exp.f64 n)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 f)) (+.f64 #s(literal 1 binary64) (expm1.f64 n))))
(log.f64 (*.f64 (exp.f64 (neg.f64 f)) (exp.f64 n)))
(log.f64 (*.f64 (exp.f64 (neg.f64 f)) (+.f64 #s(literal 1 binary64) (expm1.f64 n))))
(log.f64 (/.f64 (exp.f64 n) (+.f64 #s(literal 1 binary64) (expm1.f64 f))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (exp.f64 f)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 n)) (+.f64 #s(literal 1 binary64) (expm1.f64 f))))
(cbrt.f64 (pow.f64 (-.f64 n f) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 n f)))
(log1p.f64 (expm1.f64 (-.f64 n f)))
(exp.f64 (log.f64 (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) #s(literal 1 binary64)))
(fma.f64 n #s(literal 1 binary64) (neg.f64 f))
(fma.f64 n #s(literal 1 binary64) (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 (-.f64 n f) #s(literal 1 binary64) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (-.f64 n f) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (-.f64 n f) #s(literal 1 binary64) (+.f64 (neg.f64 f) f))
(fma.f64 #s(literal 1 binary64) n (neg.f64 f))
(fma.f64 #s(literal 1 binary64) n (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 n f) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 #s(literal 1 binary64) (-.f64 n f) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 #s(literal 1 binary64) (-.f64 n f) (+.f64 (neg.f64 f) f))
(fma.f64 #s(literal 1 binary64) (neg.f64 f) n)
(fma.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (+.f64 (neg.f64 f) f))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f)) (+.f64 (neg.f64 f) f))
(fma.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 f)) n)
(fma.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (neg.f64 f))
(fma.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (cbrt.f64 n) (neg.f64 f))
(fma.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (cbrt.f64 n) (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f)) (+.f64 (neg.f64 f) f))
(fma.f64 (sqrt.f64 f) (neg.f64 (sqrt.f64 f)) n)
(fma.f64 (sqrt.f64 n) (sqrt.f64 n) (neg.f64 f))
(fma.f64 (sqrt.f64 n) (sqrt.f64 n) (*.f64 (neg.f64 f) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64)))) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64)))) (+.f64 (neg.f64 f) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 f n)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 f n)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 f n)) (+.f64 (neg.f64 f) f))
(fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) n)
(fma.f64 #s(literal -1 binary64) f n)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f))) (cbrt.f64 (neg.f64 f)) n)
(fma.f64 (sqrt.f64 (neg.f64 f)) (sqrt.f64 (neg.f64 f)) n)
(fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (+.f64 (neg.f64 f) f))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 f) n)
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (+.f64 (neg.f64 f) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (+.f64 (neg.f64 f) f))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n))))
(fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) n))))
(fma.f64 f (fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)) (/.f64 n f))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) (*.f64 n (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 n (/.f64 (*.f64 n #s(literal -2 binary64)) (pow.f64 f #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 n f))
(+.f64 (.f64 n (/.f64 (.f64 n #s(literal -2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) (.f64 (pow.f64 n #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (.f64 n (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))
(-.f64 (-.f64 (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (.f64 n #s(literal -2 binary64))) (pow.f64 f #s(literal 3 binary64))) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) (.f64 n (/.f64 (.f64 n #s(literal -2 binary64)) (pow.f64 f #s(literal 2 binary64)))))))
(+.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (/.f64 (.f64 n #s(literal -2 binary64)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 (.f64 n (/.f64 (.f64 n #s(literal -2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 n (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)) (/.f64 n f))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (/.f64 (.f64 n (-.f64 n (.f64 #s(literal -1 binary64) n))) f)) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (-.f64 (*.f64 n (/.f64 (-.f64 n (neg.f64 n)) f)) (neg.f64 n))) f) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 n (/.f64 (*.f64 #s(literal 2 binary64) n) f) n)) f) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) f) #s(literal 1 binary64)) n) f))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 n (.f64 #s(literal -1 binary64) n))) f)) (.f64 n (-.f64 n (.f64 #s(literal -1 binary64) n)))) f))) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (/.f64 (-.f64 n (neg.f64 n)) f))) (.f64 n (-.f64 n (neg.f64 n)))) f)) (neg.f64 n))) f) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (-.f64 n (/.f64 (+.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (/.f64 (.f64 n #s(literal -2 binary64)) f)) (.f64 n (.f64 n #s(literal -2 binary64)))) f))) f) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 n #s(literal 2 binary64)) (/.f64 (.f64 n #s(literal -2 binary64)) f) (.f64 n (.f64 n #s(literal -2 binary64)))) f) (.f64 n #s(literal -2 binary64))) f))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)) (/.f64 n f))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
(fma.f64 n (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) n) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(-.f64 (.f64 n (-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
(fma.f64 n (fma.f64 n (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 f #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 2 binary64) f))) #s(literal -1 binary64))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n))))
(fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 f n)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 f n) (.f64 (pow.f64 f #s(literal 2 binary64)) (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n #s(literal 3 binary64))))) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (neg.f64 f))) (pow.f64 n #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 f #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (/.f64 f n)) (neg.f64 (fma.f64 f (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (/.f64 f n)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 #s(literal 2 binary64) f) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n)))))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 f (.f64 #s(literal -1 binary64) f))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 f (neg.f64 f)) (.f64 f (/.f64 (-.f64 f (neg.f64 f)) n)))) n)))
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(fma.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 f n)) (+.f64 (neg.f64 f) f))
(*.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 f n))
(fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) n)
(-.f64 n f)
(fma.f64 #s(literal -1 binary64) f n)
(-.f64 n f)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f))) (cbrt.f64 (neg.f64 f)) n)
(-.f64 n f)
(fma.f64 (sqrt.f64 (neg.f64 f)) (sqrt.f64 (neg.f64 f)) n)
(-.f64 n f)
(fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(-.f64 n f)
(fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(-.f64 n f)
(fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (+.f64 (neg.f64 f) f))
(-.f64 n f)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 f) n)
(-.f64 n f)
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) f f))
(fma.f64 (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) f))
(fma.f64 (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) f f))
(fma.f64 (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) f))
(fma.f64 (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (+.f64 (neg.f64 f) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) f f))
(fma.f64 (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) f))
(fma.f64 (fma.f64 n (-.f64 n f) (pow.f64 f #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (fma.f64 (neg.f64 f) #s(literal 1 binary64) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (fma.f64 #s(literal -1 binary64) f f))
(fma.f64 (-.f64 f n) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) f))
(fma.f64 (-.f64 f n) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (fma.f64 #s(literal -1 binary64) f f))
(fma.f64 (-.f64 f n) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) f))
(fma.f64 (-.f64 f n) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (+.f64 (neg.f64 f) f))
(fma.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 f n) (fma.f64 #s(literal -1 binary64) f f))
(fma.f64 (-.f64 f n) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) f))
(fma.f64 (-.f64 f n) (/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))) (-.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) #s(literal 0 binary64))

eval33.0ms (0.6%)

Compiler: Compiled 4490 to 864 computations (80.8% saved)

prune126.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	271	8	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	271	9	280

Accuracy

100.0%

Counts

280 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	47.1%	(/.f64 (+.f64 f n) (neg.f64 f))
▶	90.4%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
	54.3%	(/.f64 n (-.f64 n f))
▶	47.3%	(/.f64 f (-.f64 n f))
▶	47.5%	(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
	55.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
	53.4%	#s(literal 1 binary64)
▶	46.2%	#s(literal -1 binary64)

Compiler

Compiled 127 to 87 computations (31.5% saved)

localize199.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 n f)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 n f))
✓	cost-diff	0	(neg.f64 f)
	cost-diff	0	(+.f64 f n)
✓	cost-diff	64	(/.f64 (+.f64 f n) (neg.f64 f))
	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 f (-.f64 n f))
✓	cost-diff	0	(/.f64 f n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	cost-diff	256	(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
✓	cost-diff	256	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
✓	accuracy	100.0%	(/.f64 n f)
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 n f))
	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(neg.f64 f)
✓	accuracy	100.0%	(/.f64 (+.f64 f n) (neg.f64 f))
	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 f (-.f64 n f))
	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	accuracy	100.0%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
✓	accuracy	90.7%	(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))

Rules

749×	`fmm-def`
435×	`distribute-frac-neg`
403×	`distribute-lft-neg-in`
352×	`div-sub`
341×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	305
1	51	305
2	80	302
3	159	260
4	303	260
5	915	253
6	3514	253
7	6231	253

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
f
(-.f64 n f)
#s(literal -1 binary64)
(/.f64 f (-.f64 n f))
f
(-.f64 n f)
n
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 f n)
f
n
(neg.f64 f)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
#s(literal -2 binary64)
(/.f64 n f)
n
f
#s(literal 1 binary64)

Outputs
(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
(*.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 n f)))
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(fma.f64 n (/.f64 f n) n)
(+.f64 n f)
n
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
f
(-.f64 n f)
#s(literal -1 binary64)
(/.f64 f (-.f64 n f))
f
(-.f64 n f)
n
(/.f64 (+.f64 f n) (neg.f64 f))
(/.f64 (+.f64 n f) (neg.f64 f))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(+.f64 f n)
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(fma.f64 n (/.f64 f n) n)
(+.f64 n f)
f
n
(neg.f64 f)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
#s(literal -2 binary64)
(/.f64 n f)
n
f
#s(literal 1 binary64)

Results

44.0ms

256×

valid

Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions

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

ival-div: 9.0ms (43.8% of total)

ival-mult: 4.0ms (19.5% of total)

ival-sub: 3.0ms (14.6% of total)

ival-add: 3.0ms (14.6% of total)

const: 1.0ms (4.9% of total)

ival-neg: 1.0ms (4.9% of total)

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

series19.0ms (0.4%)

Counts

10 → 135

Calls

Call 1

Inputs
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))>
#<alt (/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (/.f64 f (-.f64 n f))>
#<alt (/.f64 (+.f64 f n) (neg.f64 f))>
#<alt (neg.f64 f)>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 n f))>
#<alt (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (/.f64 n f)>
#<alt (/.f64 f n)>

Outputs
#<alt f>
#<alt (+.f64 f n)>
#<alt (+.f64 f n)>
#<alt (+.f64 f n)>
#<alt n>
#<alt n>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))>
#<alt n>
#<alt (+.f64 f n)>
#<alt (+.f64 f n)>
#<alt (+.f64 f n)>
#<alt f>
#<alt (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt f>
#<alt (.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 f n)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) f) f) n)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (/.f64 (.f64 f (-.f64 (.f64 #s(literal -1 binary64) f) f)) n)) f) n)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) f) f)) n)) (.f64 f (-.f64 (.f64 #s(literal -1 binary64) f) f))) n))) f) n)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 n (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (/.f64 (.f64 n (-.f64 n (.f64 #s(literal -1 binary64) n))) f)) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 n (.f64 #s(literal -1 binary64) n))) f)) (.f64 n (-.f64 n (.f64 #s(literal -1 binary64) n)))) f))) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 f n)>
#<alt (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))>
#<alt (/.f64 f n)>
#<alt (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))>
#<alt (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))>
#<alt (/.f64 f n)>
#<alt (/.f64 (+.f64 f n) n)>
#<alt (/.f64 (+.f64 f n) n)>
#<alt (/.f64 (+.f64 f n) n)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 f n)>
#<alt (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (pow.f64 n #s(literal 2 binary64)))))>
#<alt (.f64 f (+.f64 (.f64 f (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 f (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) n)))>
#<alt (.f64 f (+.f64 (.f64 f (+.f64 (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 f (pow.f64 n #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) n)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n f) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 2 binary64)) f) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) (pow.f64 n #s(literal 2 binary64))) f)) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (-.f64 (.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) f))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 n (-.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) f))) #s(literal 1 binary64))>
#<alt (/.f64 f n)>
#<alt (/.f64 (+.f64 f (/.f64 (pow.f64 f #s(literal 2 binary64)) n)) n)>
#<alt (/.f64 (-.f64 (+.f64 f (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) n))) n)>
#<alt (/.f64 (-.f64 (+.f64 f (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) n)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64)))))) n)>
#<alt (/.f64 f n)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) n))) n))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) (pow.f64 f #s(literal 2 binary64))) n))) n))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) (.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64)))) n)) (pow.f64 f #s(literal 2 binary64))) n))) n))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 n f))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (.f64 #s(literal -1 binary64) n)) f)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (.f64 #s(literal -1 binary64) n)) f)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (.f64 #s(literal -1 binary64) n)) f)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 n f))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 n f))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n))))>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt (*.f64 #s(literal -1 binary64) f)>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 n f))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal 1 binary64) n))))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 n f))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal 1 binary64) n))))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 n f))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -2 binary64) n) (.f64 #s(literal -1 binary64) f)) f)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -2 binary64) n) (.f64 #s(literal -1 binary64) f)) f)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -2 binary64) n) (.f64 #s(literal -1 binary64) f)) f)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(/ (+ f n) (neg f))
1.0ms	n	@	-inf	(* n (+ 1 (/ f n)))
1.0ms	n	@	-inf	(/ f (- n f))
1.0ms	n	@	0	(* -2 (/ n f))
1.0ms	f	@	0	(* -2 (/ n f))

rewrite348.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1036×	`log1p-expm1-u`
170×	`add-cube-cbrt`
170×	`expm1-log1p-u`
168×	`add-exp-log`
168×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	215
1	368	207
2	6305	207

Stop Event

1×	node limit

Counts

10 → 362

Calls

Call 1

Inputs
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f (-.f64 n f))
(/.f64 (+.f64 f n) (neg.f64 f))
(neg.f64 f)
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(/.f64 n f)
(/.f64 f n)

Outputs
(+.f64 n (/.f64 (*.f64 n f) n))
(+.f64 n (.f64 (/.f64 (.f64 n f) n) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 n f) n) n)
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 n f) n) #s(literal 3 binary64))) (+.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 n f) n) (/.f64 (.f64 n f) n)) (.f64 n (/.f64 (.f64 n f) n)))))
(/.f64 (-.f64 (pow.f64 n #s(literal 2 binary64)) (.f64 (/.f64 (.f64 n f) n) (/.f64 (.f64 n f) n))) (-.f64 n (/.f64 (.f64 n f) n)))
(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64))) (/.f64 f n)))
(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) n) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64))) (/.f64 f n)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64))) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(pow.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 n) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))))))
(cbrt.f64 (pow.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))))
(log1p.f64 (expm1.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 f n)) (log.f64 n)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 f n)) (log.f64 n)) #s(literal 1 binary64)))
(fma.f64 n #s(literal 1 binary64) (/.f64 (*.f64 n f) n))
(fma.f64 #s(literal 1 binary64) n (/.f64 (*.f64 n f) n))
(fma.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (cbrt.f64 n) (/.f64 (*.f64 n f) n))
(fma.f64 (sqrt.f64 n) (sqrt.f64 n) (/.f64 (*.f64 n f) n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f))))) #s(literal 1 binary64))
(*.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)))
(.f64 #s(literal 1 binary64) (.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 n (+.f64 n f)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (.f64 n (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(.f64 (.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)))) (pow.f64 (cbrt.f64 (*.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (+.f64 n f)))
(.f64 (pow.f64 (cbrt.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (.f64 (cbrt.f64 n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f))))
(.f64 (sqrt.f64 (.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)))) (sqrt.f64 (*.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)))))
(.f64 (sqrt.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (/.f64 (sqrt.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (+.f64 n f)))
(.f64 (sqrt.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (.f64 (sqrt.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f))))
(.f64 (.f64 n (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)) n)
(*.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)))
(*.f64 (/.f64 n (pow.f64 (cbrt.f64 (+.f64 n f)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 n (sqrt.f64 (+.f64 n f))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (sqrt.f64 (+.f64 n f))) (/.f64 n (sqrt.f64 (+.f64 n f))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 n f)) #s(literal 2 binary64))) (/.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (cbrt.f64 (+.f64 n f))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 n f))) (/.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (/.f64 n (+.f64 n f)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (pow.f64 (cbrt.f64 (+.f64 n f)) #s(literal 2 binary64))) (/.f64 n (cbrt.f64 (+.f64 n f))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (+.f64 n f)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 n f)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 n (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 n f)))))
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(.f64 (/.f64 (sqrt.f64 (.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (+.f64 n f)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 1 binary64))))
(.f64 (+.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 1 binary64))) (+.f64 (.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) (sqrt.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n f))) #s(literal 1 binary64))
(*.f64 n (/.f64 #s(literal 1 binary64) f))
(*.f64 #s(literal 1 binary64) (/.f64 n f))
(*.f64 (/.f64 n f) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 n f)) (pow.f64 (cbrt.f64 (/.f64 n f)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 n f)))
(*.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (/.f64 (cbrt.f64 n) f))
(.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (.f64 (cbrt.f64 n) (/.f64 #s(literal 1 binary64) f)))
(*.f64 (sqrt.f64 (/.f64 n f)) (sqrt.f64 (/.f64 n f)))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) f))
(.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) (/.f64 #s(literal 1 binary64) f)))
(*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) f))
(*.f64 (/.f64 #s(literal 1 binary64) f) n)
(*.f64 (/.f64 #s(literal 1 binary64) f) (neg.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (/.f64 n (cbrt.f64 f)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 f)) (/.f64 n (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 n) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 (/.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (sqrt.f64 f)) (/.f64 (cbrt.f64 n) (sqrt.f64 f)))
(*.f64 (/.f64 (sqrt.f64 n) #s(literal 1 binary64)) (/.f64 (sqrt.f64 n) f))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (/.f64 (sqrt.f64 n) (cbrt.f64 f)))
(pow.f64 (/.f64 f n) #s(literal -1 binary64))
(pow.f64 (/.f64 n f) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 n f)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 n f)) #s(literal 2 binary64))
(neg.f64 (/.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 n f)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 n f))))
(cbrt.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 n f)))
(log1p.f64 (expm1.f64 (/.f64 n f)))
(exp.f64 (log.f64 (/.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 n f)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 f n))
(*.f64 #s(literal 1 binary64) (/.f64 f n))
(*.f64 f (/.f64 #s(literal 1 binary64) n))
(*.f64 f (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (/.f64 f n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 f n))
(*.f64 (cbrt.f64 (/.f64 f n)) (pow.f64 (cbrt.f64 (/.f64 f n)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f n)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 f n)))
(*.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (/.f64 (cbrt.f64 f) n))
(.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (.f64 (cbrt.f64 f) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (/.f64 (cbrt.f64 f) (neg.f64 n)))
(*.f64 (sqrt.f64 (/.f64 f n)) (sqrt.f64 (/.f64 f n)))
(*.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) n))
(.f64 (sqrt.f64 f) (.f64 (sqrt.f64 f) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) (neg.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) f)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (/.f64 f (cbrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 n)) (/.f64 f (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 f) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (cbrt.f64 (/.f64 f n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (sqrt.f64 n)) (/.f64 (cbrt.f64 f) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 f) #s(literal 1 binary64)) (/.f64 (sqrt.f64 f) n))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (/.f64 (sqrt.f64 f) (cbrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 n)) f)
(pow.f64 (/.f64 f n) #s(literal 1 binary64))
(pow.f64 (/.f64 n f) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 f n)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 f n)) #s(literal 2 binary64))
(neg.f64 (/.f64 f n))
(sqrt.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 f n)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 f n))))
(cbrt.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 f n)))
(log1p.f64 (expm1.f64 (/.f64 f n)))
(exp.f64 (log.f64 (/.f64 f n)))
(exp.f64 (*.f64 (log.f64 (/.f64 f n)) #s(literal 1 binary64)))

simplify234.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

590×	`associate-r`
585×	`associate-l`
444×	`fma-define`
422×	`times-frac`
259×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	916	14964
1	2209	12881

Stop Event

1×	node limit

Counts

497 → 604

Calls

Call 1

Inputs
f
(+.f64 f n)
(+.f64 f n)
(+.f64 f n)
n
n
(.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
n
(+.f64 f n)
(+.f64 f n)
(+.f64 f n)
f
(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))
f
(.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
(-.f64 (.f64 n (-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 f n)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) f) f) n)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (/.f64 (.f64 f (-.f64 (.f64 #s(literal -1 binary64) f) f)) n)) f) n)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) f) f)) n)) (.f64 f (-.f64 (.f64 #s(literal -1 binary64) f) f))) n))) f) n)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 n (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (/.f64 (.f64 n (-.f64 n (.f64 #s(literal -1 binary64) n))) f)) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 n (.f64 #s(literal -1 binary64) n))) f)) (.f64 n (-.f64 n (.f64 #s(literal -1 binary64) n)))) f))) (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 f n)
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))
(/.f64 f n)
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))
(/.f64 f n)
(/.f64 (+.f64 f n) n)
(/.f64 (+.f64 f n) n)
(/.f64 (+.f64 f n) n)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 f n)
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (pow.f64 n #s(literal 2 binary64)))))
(.f64 f (+.f64 (.f64 f (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 f (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) n)))
(.f64 f (+.f64 (.f64 f (+.f64 (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 f (pow.f64 n #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) n)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 1 binary64))))
(pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) (sqrt.f64 (.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n f))) #s(literal 1 binary64))
(*.f64 n (/.f64 #s(literal 1 binary64) f))
(*.f64 #s(literal 1 binary64) (/.f64 n f))
(*.f64 (/.f64 n f) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 n f)) (pow.f64 (cbrt.f64 (/.f64 n f)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 n f)))
(*.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (/.f64 (cbrt.f64 n) f))
(.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (.f64 (cbrt.f64 n) (/.f64 #s(literal 1 binary64) f)))
(*.f64 (sqrt.f64 (/.f64 n f)) (sqrt.f64 (/.f64 n f)))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) f))
(.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) (/.f64 #s(literal 1 binary64) f)))
(*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) f))
(*.f64 (/.f64 #s(literal 1 binary64) f) n)
(*.f64 (/.f64 #s(literal 1 binary64) f) (neg.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (/.f64 n (cbrt.f64 f)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 f)) (/.f64 n (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 n) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 (/.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (sqrt.f64 f)) (/.f64 (cbrt.f64 n) (sqrt.f64 f)))
(*.f64 (/.f64 (sqrt.f64 n) #s(literal 1 binary64)) (/.f64 (sqrt.f64 n) f))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (/.f64 (sqrt.f64 n) (cbrt.f64 f)))
(pow.f64 (/.f64 f n) #s(literal -1 binary64))
(pow.f64 (/.f64 n f) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 n f)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 n f)) #s(literal 2 binary64))
(neg.f64 (/.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 n f)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 n f))))
(cbrt.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 n f)))
(log1p.f64 (expm1.f64 (/.f64 n f)))
(exp.f64 (log.f64 (/.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 n f)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 f n))
(*.f64 #s(literal 1 binary64) (/.f64 f n))
(*.f64 f (/.f64 #s(literal 1 binary64) n))
(*.f64 f (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (/.f64 f n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 f n))
(*.f64 (cbrt.f64 (/.f64 f n)) (pow.f64 (cbrt.f64 (/.f64 f n)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f n)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 f n)))
(*.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (/.f64 (cbrt.f64 f) n))
(.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (.f64 (cbrt.f64 f) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (/.f64 (cbrt.f64 f) (neg.f64 n)))
(*.f64 (sqrt.f64 (/.f64 f n)) (sqrt.f64 (/.f64 f n)))
(*.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) n))
(.f64 (sqrt.f64 f) (.f64 (sqrt.f64 f) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) (neg.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) f)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (/.f64 f (cbrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 n)) (/.f64 f (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 f) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (cbrt.f64 (/.f64 f n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (sqrt.f64 n)) (/.f64 (cbrt.f64 f) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 f) #s(literal 1 binary64)) (/.f64 (sqrt.f64 f) n))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (/.f64 (sqrt.f64 f) (cbrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 n)) f)
(pow.f64 (/.f64 f n) #s(literal 1 binary64))
(pow.f64 (/.f64 n f) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 f n)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 f n)) #s(literal 2 binary64))
(neg.f64 (/.f64 f n))
(sqrt.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 f n)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 f n))))
(cbrt.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 f n)))
(log1p.f64 (expm1.f64 (/.f64 f n)))
(exp.f64 (log.f64 (/.f64 f n)))
(exp.f64 (*.f64 (log.f64 (/.f64 f n)) #s(literal 1 binary64)))

Outputs
f
(+.f64 f n)
(+.f64 f n)
(+.f64 f n)
n
n
(.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(+.f64 f n)
(.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(+.f64 f n)
(.f64 #s(literal -1 binary64) (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(+.f64 f n)
n
(+.f64 f n)
(+.f64 f n)
(+.f64 f n)
f
(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(+.f64 f n)
(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(+.f64 f n)
(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(+.f64 f n)
f
(.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))
(*.f64 (neg.f64 f) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))
(*.f64 (neg.f64 f) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 f (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))
(*.f64 (neg.f64 f) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
(fma.f64 n (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(-.f64 (.f64 n (-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
(fma.f64 n (-.f64 (.f64 n (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (*.f64 f (/.f64 (+.f64 f f) (pow.f64 n #s(literal 2 binary64)))))) (/.f64 f n))
(fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 f n)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 f (-.f64 f (.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 f n) (.f64 (pow.f64 f #s(literal 2 binary64)) (/.f64 (+.f64 f f) (pow.f64 n #s(literal 3 binary64))))) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 f n) (*.f64 f (/.f64 (+.f64 f f) (pow.f64 n #s(literal 2 binary64))))))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 f #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (/.f64 f n))) (/.f64 f n)) (.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) f) f) n)))
(+.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (/.f64 (.f64 f (-.f64 (.f64 #s(literal -1 binary64) f) f)) n)) f) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) f (*.f64 f (/.f64 (-.f64 (neg.f64 f) f) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 f (.f64 (/.f64 f n) #s(literal -2 binary64))) (*.f64 f #s(literal -2 binary64))) n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) f) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) f) f)) n)) (.f64 f (-.f64 (.f64 #s(literal -1 binary64) f) f))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) f (neg.f64 (/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 f #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 f) f) n))) (.f64 f (-.f64 (neg.f64 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) n) (.f64 f (.f64 f #s(literal 2 binary64)))) (neg.f64 n)) (*.f64 f #s(literal -2 binary64))) n))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (*.f64 f (/.f64 (+.f64 f f) (pow.f64 n #s(literal 2 binary64)))))) (/.f64 f n))
(fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) n))))
(fma.f64 f (fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)) (/.f64 n f))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 n f))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 (.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) (.f64 (pow.f64 n #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f #s(literal 2 binary64))) (/.f64 n f))))
(-.f64 (-.f64 (/.f64 (.f64 (pow.f64 n #s(literal 2 binary64)) (.f64 n #s(literal -2 binary64))) (pow.f64 f #s(literal 3 binary64))) (/.f64 n f)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 (.f64 n (.f64 n #s(literal 2 binary64))) (pow.f64 f #s(literal 2 binary64)))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 n (.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
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(/.f64 (neg.f64 f) n)
(/.f64 f (neg.f64 n))
(*.f64 (sqrt.f64 (/.f64 f n)) (sqrt.f64 (/.f64 f n)))
(/.f64 f n)
(*.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) n))
(/.f64 f n)
(.f64 (sqrt.f64 f) (.f64 (sqrt.f64 f) (/.f64 #s(literal 1 binary64) n)))
(/.f64 f n)
(*.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) (neg.f64 n)))
(/.f64 (neg.f64 f) n)
(/.f64 f (neg.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) n) f)
(/.f64 f n)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (/.f64 f (cbrt.f64 n)))
(/.f64 (/.f64 f (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 n)) (/.f64 f (sqrt.f64 n)))
(/.f64 (/.f64 f (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 f) n))
(/.f64 f n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (cbrt.f64 (/.f64 f n)))
(*.f64 (cbrt.f64 (/.f64 f n)) (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (cbrt.f64 (/.f64 f n))) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) #s(literal 2 binary64)) (sqrt.f64 n)) (/.f64 (cbrt.f64 f) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 f) #s(literal 1 binary64)) (/.f64 (sqrt.f64 f) n))
(/.f64 f n)
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (/.f64 (sqrt.f64 f) (cbrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 n)) f)
(/.f64 (neg.f64 f) n)
(/.f64 f (neg.f64 n))
(pow.f64 (/.f64 f n) #s(literal 1 binary64))
(/.f64 f n)
(pow.f64 (/.f64 n f) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 f n)) #s(literal 3 binary64))
(/.f64 f n)
(pow.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 f n)
(pow.f64 (sqrt.f64 (/.f64 f n)) #s(literal 2 binary64))
(/.f64 f n)
(neg.f64 (/.f64 f n))
(/.f64 (neg.f64 f) n)
(/.f64 f (neg.f64 n))
(sqrt.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)))
(fabs.f64 (/.f64 f n))
(log.f64 (exp.f64 (/.f64 f n)))
(/.f64 f n)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 f n))))
(/.f64 f n)
(cbrt.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)))
(/.f64 f n)
(expm1.f64 (log1p.f64 (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) #s(literal -1 binary64)))
(+.f64 (/.f64 f n) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (/.f64 f n)))
(/.f64 f n)
(exp.f64 (log.f64 (/.f64 f n)))
(/.f64 f n)
(exp.f64 (*.f64 (log.f64 (/.f64 f n)) #s(literal 1 binary64)))
(/.f64 f n)

eval161.0ms (3%)

Compiler: Compiled 13692 to 2422 computations (82.3% saved)

prune185.0ms (3.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	910	0	910
Fresh	0	3	3
Picked	0	5	5
Done	0	1	1
Total	910	9	919

Accuracy

100.0%

Counts

919 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	47.1%	(/.f64 (+.f64 f n) (neg.f64 f))
✓	90.4%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
▶	54.3%	(/.f64 n (-.f64 n f))
✓	47.3%	(/.f64 f (-.f64 n f))
✓	47.5%	(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
▶	55.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
▶	53.4%	#s(literal 1 binary64)
✓	46.2%	#s(literal -1 binary64)

Compiler

Compiled 68 to 46 computations (32.4% saved)

localize132.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 n (-.f64 n f))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
	cost-diff	0	(/.f64 f n)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 f n))
	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(/.f64 n (-.f64 n f))
	accuracy	100.0%	(/.f64 f n)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 f n))

Rules

259×	`fma-define`
161×	`fmm-def`
65×	`associate-r`
64×	`times-frac`
47×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	111
1	26	107
2	35	107
3	44	107
4	56	107
5	76	107
6	118	107
7	212	107
8	483	107
9	777	107
10	1062	107
11	1379	107
12	1433	107
13	1451	107
14	1479	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 f n))
#s(literal 2 binary64)
(/.f64 f n)
f
n
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) f) n))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 (*.f64 #s(literal 2 binary64) f) n)
(*.f64 f (/.f64 #s(literal 2 binary64) n))
#s(literal 2 binary64)
(/.f64 f n)
f
n
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f

Results

66.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

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

ival-div: 4.0ms (42.2% of total)

ival-mult: 2.0ms (21.1% of total)

ival-sub: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

series63.0ms (1.2%)

Counts

3 → 39

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 2 binary64) (/.f64 f n))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))>
#<alt (/.f64 n (-.f64 n f))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 f n))>
#<alt (.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))>
#<alt (.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 f n))>
#<alt (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) f)))>
#<alt (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) f)))>
#<alt (.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) f)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 f n))>
#<alt (/.f64 (+.f64 n (*.f64 #s(literal 2 binary64) f)) n)>
#<alt (/.f64 (+.f64 n (*.f64 #s(literal 2 binary64) f)) n)>
#<alt (/.f64 (+.f64 n (*.f64 #s(literal 2 binary64) f)) n)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 n f))>
#<alt (.f64 n (-.f64 (.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) f)))>
#<alt (.f64 n (-.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) f)))>
#<alt (.f64 n (-.f64 (.f64 n (-.f64 (.f64 n (-.f64 (.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) f)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 f n)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) n)) f) n)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 2 binary64)))) n)) f) n)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (pow.f64 n #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 f (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) n))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 n f))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) n) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) f))) f)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) n) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 2 binary64))))) (/.f64 (pow.f64 n #s(literal 2 binary64)) f)) f)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) n) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 n #s(literal 2 binary64)) f) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 2 binary64))))) f)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 n f))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (pow.f64 n #s(literal 2 binary64)) f)) f))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) (pow.f64 n #s(literal 2 binary64))) f))) f))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)))) f)) (pow.f64 n #s(literal 2 binary64))) f))) f))>

Calls

18 calls:

Time	Variable		Point	Expression
58.0ms	n	@	0	(/ n (- n f))
0.0ms	f	@	inf	(/ n (- n f))
0.0ms	f	@	inf	(* 2 (/ f n))
0.0ms	f	@	-inf	(* 2 (/ f n))
0.0ms	n	@	inf	(/ n (- n f))

rewrite495.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1039×	`log1p-expm1-u`
1039×	`expm1-log1p-u`
713×	`prod-diff`
82×	`add-exp-log`
82×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	186	62
2	2746	62

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(/.f64 n (-.f64 n f))

Outputs
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 #s(literal 2 binary64) f)))
(/.f64 (*.f64 #s(literal 2 binary64) f) n)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) f)) (neg.f64 n))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 f) #s(literal 2 binary64)) (neg.f64 n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) #s(literal 1 binary64)) n)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 n f))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 n f)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 n f))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) #s(literal 1 binary64))
(*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (/.f64 (cbrt.f64 n) (-.f64 n f)))
(.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (.f64 (cbrt.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 n (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 n f))) (/.f64 n (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 n) #s(literal 1 binary64)) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 n) (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 n (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (.f64 f (+.f64 f n))))
(*.f64 (/.f64 n (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 f n))
(pow.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 n f) n) #s(literal -1 binary64))
(neg.f64 (/.f64 n (neg.f64 (-.f64 n f))))
(neg.f64 (/.f64 (neg.f64 n) (-.f64 n f)))
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 n (-.f64 n f))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 n (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (-.f64 n f) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 n (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 n (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 n f))) #s(literal 1 binary64)))

simplify173.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-define`
452×	`associate-/l*`
381×	`associate-*r/`
379×	`associate-/r*`
293×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	4957
1	786	4398
2	2252	4041

Stop Event

1×	node limit

Counts

133 → 161

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) f)))
(.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) f)))
(.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) f)))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 (+.f64 n (*.f64 #s(literal 2 binary64) f)) n)
(/.f64 (+.f64 n (*.f64 #s(literal 2 binary64) f)) n)
(/.f64 (+.f64 n (*.f64 #s(literal 2 binary64) f)) n)
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) (/.f64 n f))
(.f64 n (-.f64 (.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) f)))
(.f64 n (-.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) f)))
(.f64 n (-.f64 (.f64 n (-.f64 (.f64 n (-.f64 (.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) f)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 f n)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) n)) f) n)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 2 binary64)))) n)) f) n)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (pow.f64 n #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 f (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) n))))
(*.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) n) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) f))) f)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) n) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 2 binary64))))) (/.f64 (pow.f64 n #s(literal 2 binary64)) f)) f)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) n) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 n #s(literal 2 binary64)) f) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 2 binary64))))) f)
(*.f64 #s(literal -1 binary64) (/.f64 n f))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (pow.f64 n #s(literal 2 binary64)) f)) f))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) (pow.f64 n #s(literal 2 binary64))) f))) f))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)))) f)) (pow.f64 n #s(literal 2 binary64))) f))) f))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 #s(literal 2 binary64) f)))
(/.f64 (*.f64 #s(literal 2 binary64) f) n)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) f)) (neg.f64 n))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 f) #s(literal 2 binary64)) (neg.f64 n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) #s(literal 1 binary64)) n)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 n f))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 n f)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 n f))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) #s(literal 1 binary64))
(*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (/.f64 (cbrt.f64 n) (-.f64 n f)))
(.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (.f64 (cbrt.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 n (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 n f))) (/.f64 n (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 n) #s(literal 1 binary64)) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 n) (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 n (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (.f64 f (+.f64 f n))))
(*.f64 (/.f64 n (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 f n))
(pow.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 n f) n) #s(literal -1 binary64))
(neg.f64 (/.f64 n (neg.f64 (-.f64 n f))))
(neg.f64 (/.f64 (neg.f64 n) (-.f64 n f)))
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 n (-.f64 n f))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 n (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (-.f64 n f) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 n (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 n (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 n f))) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 2 binary64) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 2 binary64) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 2 binary64) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) f)))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 2 binary64) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) f)))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 2 binary64) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(.f64 f (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) f)))
(*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 2 binary64) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 (+.f64 n (*.f64 #s(literal 2 binary64) f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/.f64 (+.f64 n (*.f64 #s(literal 2 binary64) f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/.f64 (+.f64 n (*.f64 #s(literal 2 binary64) f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (neg.f64 n) f)
(/.f64 n (neg.f64 f))
(.f64 n (-.f64 (.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) f)))
(*.f64 n (-.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) f)))
(*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) f)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(.f64 n (-.f64 (.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) f)))
(.f64 n (-.f64 (.f64 n (-.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) f)))
(*.f64 n (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) f)))
(*.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 2 binary64))) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) f)))
(.f64 n (-.f64 (.f64 n (-.f64 (.f64 n (-.f64 (.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) f)))
(.f64 n (-.f64 (.f64 n (-.f64 (*.f64 n (-.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) f)))
(*.f64 n (fma.f64 n (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) f)))
(*.f64 n (fma.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) f)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (neg.f64 f) n)))
(fma.f64 f (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 f n)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 f #s(literal 2 binary64))) n) f) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (/.f64 (fma.f64 f (/.f64 f n) f) n)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 f #s(literal 2 binary64)) n)) f) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (neg.f64 f) n)))
(fma.f64 f (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 2 binary64)))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 f #s(literal 2 binary64))) n) f) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (/.f64 (fma.f64 f (/.f64 f n) f) n)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (pow.f64 n #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (neg.f64 f) n)))
(fma.f64 f (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n))
(+.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 f (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 f (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) n))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 f #s(literal 2 binary64))) n) f) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (/.f64 (fma.f64 f (/.f64 f n) f) n)))
(*.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (neg.f64 n) f)
(/.f64 n (neg.f64 f))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) n) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) f))) f)
(*.f64 n (-.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) f)))
(*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) f)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) n) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 2 binary64))))) (/.f64 (pow.f64 n #s(literal 2 binary64)) f)) f)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 n (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 2 binary64))))) (/.f64 (pow.f64 n #s(literal 2 binary64)) f)) f)
(/.f64 (fma.f64 n #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 f)) (pow.f64 n #s(literal 2 binary64))) f)) f)
(/.f64 (-.f64 (neg.f64 n) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 (pow.f64 n #s(literal 2 binary64)) f))) f)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) n) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 n #s(literal 2 binary64)) f) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 2 binary64))))) f)
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) n (neg.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))))) (+.f64 (/.f64 (pow.f64 n #s(literal 2 binary64)) f) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 2 binary64))))) f)
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 n (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 f)) (pow.f64 n #s(literal 2 binary64))) f)) f)
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f)))) f) (pow.f64 (/.f64 n f) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (neg.f64 n) f)
(/.f64 n (neg.f64 f))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (pow.f64 n #s(literal 2 binary64)) f)) f))
(*.f64 n (-.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) f)))
(*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) f)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) (pow.f64 n #s(literal 2 binary64))) f))) f))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 n (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 2 binary64))))) (/.f64 (pow.f64 n #s(literal 2 binary64)) f)) f)
(/.f64 (fma.f64 n #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 f)) (pow.f64 n #s(literal 2 binary64))) f)) f)
(/.f64 (-.f64 (neg.f64 n) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 (pow.f64 n #s(literal 2 binary64)) f))) f)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)))) f)) (pow.f64 n #s(literal 2 binary64))) f))) f))
(neg.f64 (/.f64 (+.f64 n (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (neg.f64 (pow.f64 n #s(literal 3 binary64)))) f)) (pow.f64 n #s(literal 2 binary64))) f))) f))
(/.f64 (-.f64 n (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) (neg.f64 f)) (pow.f64 n #s(literal 2 binary64))) f)) (neg.f64 f))
(/.f64 (+.f64 n (/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f) (pow.f64 n #s(literal 2 binary64))) f)) (neg.f64 f))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 #s(literal 2 binary64) f)))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 (*.f64 #s(literal 2 binary64) f) n)
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) f)) (neg.f64 n))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 f)) (neg.f64 n))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 (*.f64 (neg.f64 f) #s(literal 2 binary64)) (neg.f64 n))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) #s(literal 1 binary64)) n)
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (cbrt.f64 n))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64)))
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(/.f64 n (-.f64 n f))
(*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 n (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (/.f64 (cbrt.f64 n) (-.f64 n f)))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (.f64 (cbrt.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 n (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 n (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)))
(/.f64 n (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 n f))) (/.f64 n (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 n (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 n) (-.f64 n f)))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 n (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (cbrt.f64 (/.f64 n (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 n f))) (/.f64 n (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 n (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 n) #s(literal 1 binary64)) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 n (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 n (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)))
(/.f64 n (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 n (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (.f64 f (+.f64 f n))))
(*.f64 n (/.f64 (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(*.f64 (/.f64 n (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 f n))
(*.f64 (+.f64 f n) (/.f64 n (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))))
(*.f64 n (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))))
(pow.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) n) #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(neg.f64 (/.f64 n (neg.f64 (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(neg.f64 (/.f64 (neg.f64 n) (-.f64 n f)))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(log.f64 (exp.f64 (/.f64 n (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 n (-.f64 n f)))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (-.f64 n f) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 n (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(exp.f64 (log.f64 (/.f64 n (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 n f))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))
(/.f64 n (-.f64 n f))

eval99.0ms (1.8%)

Compiler: Compiled 4575 to 999 computations (78.2% saved)

prune70.0ms (1.3%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	334	10	344

Accuracy

100.0%

Counts

344 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	47.1%	(/.f64 (+.f64 f n) (neg.f64 f))
✓	90.4%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
✓	54.3%	(/.f64 n (-.f64 n f))
✓	47.3%	(/.f64 f (-.f64 n f))
✓	47.5%	(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
▶	54.5%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	55.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	53.4%	#s(literal 1 binary64)
✓	46.2%	#s(literal -1 binary64)

Compiler

Compiled 75 to 51 computations (32% saved)

localize40.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

Metric	Score	Program
cost-diff	0	(/.f64 f n)
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 f n))
accuracy	100.0%	(/.f64 f n)
accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 f n))

Rules

3×	`1-exp`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	17	41

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
f
n

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
f
n

Results

27.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 16.0ms (85.2% of total)

ival-div: 2.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

eval290.0ms (5.4%)

Compiler: Compiled 1149 to 256 computations (77.7% saved)

prune54.0ms (1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	105	10	115

Accuracy

100.0%

Counts

115 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	47.1%	(/.f64 (+.f64 f n) (neg.f64 f))
✓	90.4%	(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))
✓	54.3%	(/.f64 n (-.f64 n f))
✓	47.3%	(/.f64 f (-.f64 n f))
✓	47.5%	(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
✓	54.5%	(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓	55.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
✓	53.4%	#s(literal 1 binary64)
✓	46.2%	#s(literal -1 binary64)

Compiler

Compiled 140 to 76 computations (45.7% saved)

regimes210.0ms (3.9%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 n f))

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))

Calls

3 calls:

202.0ms	f
4.0ms	n
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
100.0%	1	`f`
100.0%	1	`n`
100.0%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))

Outputs

(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))

(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))

(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))

Calls

2 calls:

3.0ms	f
3.0ms	n

Results

Accuracy	Segments	Branch
76.1%	3	`f`
77.5%	3	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.3%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes205.0ms (3.8%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (+.f64 f n) (neg.f64 f))

Outputs
(/.f64 n (-.f64 n f))
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 #s(literal 1 binary64) (/.f64 f n))

Calls

1 calls:

205.0ms

Results

Accuracy	Segments	Branch
77.0%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))

Outputs
(/.f64 n (-.f64 n f))
(/.f64 f (-.f64 n f))
(+.f64 #s(literal 1 binary64) (/.f64 f n))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.9%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f (-.f64 n f))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f (-.f64 n f))
(+.f64 #s(literal 1 binary64) (/.f64 f n))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.9%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.6%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.2%	3	`n`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	f
1.0ms	n

Results

Accuracy	Segments	Branch
46.2%	1	`f`
46.2%	1	`n`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.3452597534573403e-10	2.3666928257413043e-9
8.0ms	-3321434.711538119	-497564.49529102194

Results

11.0ms

208×

valid

Compiler

Compiled 275 to 218 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-neg: 2.0ms (32.9% of total)

ival-sub: 1.0ms (16.5% of total)

ival-div: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.3452597534573403e-10	2.3666928257413043e-9
9.0ms	-3321434.711538119	-497564.49529102194

Results

12.0ms

208×

valid

Compiler

Compiled 262 to 192 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 3.0ms (47.7% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

ival-neg: 1.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.3452597534573403e-10	2.3666928257413043e-9
9.0ms	-3321434.711538119	-497564.49529102194

Results

11.0ms

208×

valid

Compiler

Compiled 236 to 160 computations (32.2% saved)

Precisions

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

ival-sub: 1.0ms (19.6% of total)

ival-div: 1.0ms (19.6% of total)

ival-add: 1.0ms (19.6% of total)

ival-neg: 1.0ms (19.6% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.3452597534573403e-10	2.3666928257413043e-9
13.0ms	-2.8298300239831403e-8	-2.99703144924493e-16

Results

13.0ms

256×

valid

Compiler

Compiled 271 to 177 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (31.7% of total)

ival-add: 2.0ms (31.7% of total)

ival-sub: 1.0ms (15.8% of total)

ival-neg: 1.0ms (15.8% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.3452597534573403e-10	2.3666928257413043e-9
13.0ms	-2.8298300239831403e-8	-2.99703144924493e-16

Results

24.0ms

256×

valid

Compiler

Compiled 271 to 186 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (31.4% of total)

ival-add: 2.0ms (31.4% of total)

ival-sub: 1.0ms (15.7% of total)

ival-neg: 1.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.3452597534573403e-10	2.3666928257413043e-9
13.0ms	-2.8298300239831403e-8	-2.99703144924493e-16

Results

14.0ms

256×

valid

Compiler

Compiled 207 to 170 computations (17.9% saved)

Precisions

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

ival-add: 3.0ms (41.4% of total)

ival-div: 2.0ms (27.6% of total)

ival-sub: 1.0ms (13.8% of total)

ival-neg: 1.0ms (13.8% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
11.0ms	1.3452597534573403e-10	2.3666928257413043e-9
5.0ms	-3321434.711538119	-497564.49529102194

Results

11.0ms

176×

valid

Compiler

Compiled 103 to 98 computations (4.9% saved)

Precisions

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

ival-sub: 1.0ms (22.8% of total)

ival-div: 1.0ms (22.8% of total)

ival-add: 1.0ms (22.8% of total)

ival-neg: 1.0ms (22.8% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
10×	`if-if-or-not`
7×	`sub-neg`
7×	`*-commutative`
5×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	523
1	101	523
2	111	523
3	124	523
4	131	523
5	134	523
6	135	523

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n #s(literal -650000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 n #s(literal 6576556458703583/38685626227668133590597632 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))))
(if (<=.f64 n #s(literal -500000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 n #s(literal 6673270524272753/9671406556917033397649408 binary64)) (/.f64 (+.f64 f n) (neg.f64 f)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n)))))
(if (<=.f64 n #s(literal -500000 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 7350268983256945/4835703278458516698824704 binary64)) (/.f64 (+.f64 f n) (neg.f64 f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -4208996133570293/1237940039285380274899124224 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 4013633721120569/9671406556917033397649408 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -5831192761049855/633825300114114700748351602688 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 2200244991698625/1208925819614629174706176 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -3590026113927603/618970019642690137449562112 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 5609415803011879/19342813113834066795298816 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -500000 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 2030995376952577/9671406556917033397649408 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n #s(literal -650000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 n #s(literal 6576556458703583/38685626227668133590597632 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))))
(if (or (<=.f64 n #s(literal -650000 binary64)) (not (<=.f64 n #s(literal 6576556458703583/38685626227668133590597632 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)))
(if (or (<=.f64 n #s(literal -650000 binary64)) (not (<=.f64 n #s(literal 6576556458703583/38685626227668133590597632 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -1 binary64)))
(if (<=.f64 n #s(literal -500000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 n #s(literal 6673270524272753/9671406556917033397649408 binary64)) (/.f64 (+.f64 f n) (neg.f64 f)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 f n)))))
(if (or (<=.f64 n #s(literal -500000 binary64)) (not (<=.f64 n #s(literal 6673270524272753/9671406556917033397649408 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (/.f64 (+.f64 f n) (neg.f64 f)))
(if (<=.f64 n #s(literal -500000 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 7350268983256945/4835703278458516698824704 binary64)) (/.f64 (+.f64 f n) (neg.f64 f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -4208996133570293/1237940039285380274899124224 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 4013633721120569/9671406556917033397649408 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (<=.f64 n #s(literal -5831192761049855/633825300114114700748351602688 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 2200244991698625/1208925819614629174706176 binary64)) (/.f64 f (-.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (or (<=.f64 n #s(literal -5831192761049855/633825300114114700748351602688 binary64)) (not (<=.f64 n #s(literal 2200244991698625/1208925819614629174706176 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 f (-.f64 n f)))
(if (<=.f64 n #s(literal -3590026113927603/618970019642690137449562112 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (if (<=.f64 n #s(literal 5609415803011879/19342813113834066795298816 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(if (or (<=.f64 n #s(literal -3590026113927603/618970019642690137449562112 binary64)) (not (<=.f64 n #s(literal 5609415803011879/19342813113834066795298816 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64))
(if (<=.f64 n #s(literal -500000 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 2030995376952577/9671406556917033397649408 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness259.0ms (4.8%)

Rules

581×	`fma-define`
458×	`fmm-def`
318×	`div-sub`
308×	`cancel-sign-sub-inv`
305×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	269
1	78	217
2	208	217
3	582	217
4	1490	217
5	2115	217
6	2375	217
7	2443	217
8	2564	217
0	494	7598
1	1215	7223
2	4152	7038

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 231 to 95 computations (58.9% saved)

preprocess51.0ms (0.9%)

Compiler: Compiled 314 to 136 computations (56.7% saved)

analyze14.0ms (0.3%)

sample709.0ms (13.2%)

preprocess113.0ms (2.1%)

explain50.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize69.0ms (1.3%)

series6.0ms (0.1%)

rewrite355.0ms (6.6%)

simplify414.0ms (7.7%)

eval33.0ms (0.6%)

prune126.0ms (2.3%)

localize199.0ms (3.7%)

series19.0ms (0.4%)

rewrite348.0ms (6.5%)

simplify234.0ms (4.3%)

eval161.0ms (3%)

prune185.0ms (3.4%)

localize132.0ms (2.4%)

series63.0ms (1.2%)

rewrite495.0ms (9.2%)

simplify173.0ms (3.2%)

eval99.0ms (1.8%)

prune70.0ms (1.3%)

localize40.0ms (0.8%)

eval290.0ms (5.4%)

prune54.0ms (1%)

regimes210.0ms (3.9%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes205.0ms (3.8%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch20.0ms (0.4%)

bsearch20.0ms (0.4%)

bsearch21.0ms (0.4%)

bsearch25.0ms (0.5%)

bsearch41.0ms (0.8%)

bsearch25.0ms (0.5%)

bsearch18.0ms (0.3%)

simplify12.0ms (0.2%)

soundness259.0ms (4.8%)

preprocess51.0ms (0.9%)

end0.0ms (0%)

Profiling