Metrics for Hyperbolic arc-cosine

analyze88.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

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

ival-log: 9.0ms (23.2% of total)

ival-sqrt: 9.0ms (23.2% of total)

ival-mult: 8.0ms (20.6% of total)

ival-sub: 5.0ms (12.9% of total)

ival-add: 5.0ms (12.9% of total)

const: 1.0ms (2.6% of total)

backward-pass: 1.0ms (2.6% of total)

sample2.8s (41.3%)

Results

1.4s	7639×	1	invalid
905.0ms	8256×	0	valid
21.0ms	378×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-sqrt: 627.0ms (35.5% of total)

ival-mult: 266.0ms (15.1% of total)

ival-add: 263.0ms (14.9% of total)

ival-log: 226.0ms (12.8% of total)

backward-pass: 223.0ms (12.6% of total)

ival-sub: 135.0ms (7.6% of total)

const: 25.0ms (1.4% of total)

Bogosity

preprocess261.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

653×	`distribute-lft-out`
621×	`distribute-rgt-out--`
518×	`unsub-neg`
473×	`sub-neg`
450×	`distribute-rgt-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	48	132
2	83	132
3	179	132
4	416	132
5	923	132
6	1685	132
7	3206	132
8	4236	132
9	4890	132
10	5182	132
11	5490	132
12	5640	132
13	5713	132
14	5924	132
15	6691	132
16	6872	132

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))

explain77.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
122	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Results

42.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

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

ival-log: 6.0ms (28.1% of total)

ival-mult: 5.0ms (23.4% of total)

ival-sqrt: 4.0ms (18.7% of total)

ival-sub: 3.0ms (14% of total)

ival-add: 3.0ms (14% of total)

const: 1.0ms (4.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize251.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	-6272	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	-6272	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	55.6%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Rules

867×	`fma-neg`
760×	`unsub-neg`
522×	`sub-neg`
429×	`distribute-neg-in`
330×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	112
1	26	112
2	30	112
3	45	112
4	84	112
5	160	112
6	369	112
7	766	112
8	2568	112
9	4519	112
10	5858	112
11	6536	112
12	6837	112
13	7022	112
14	7124	112
15	7443	112
16	7989	112

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

Results

22.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

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

ival-add: 4.0ms (31.5% of total)

ival-log: 3.0ms (23.7% of total)

ival-mult: 2.0ms (15.8% of total)

ival-sqrt: 2.0ms (15.8% of total)

ival-sub: 1.0ms (7.9% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))>
#<alt (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))>
#<alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))>
#<alt (*.f64 x x)>

Outputs
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt x>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 x (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (log.f64 (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/32 binary64) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	-inf	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	0	(sqrt (- (* x x) 1))
1.0ms	x	@	inf	(sqrt (- (* x x) 1))

rewrite316.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log1p-expm1-u`
693×	`expm1-log1p-u`
598×	`unpow-prod-down`
406×	`fma-define`
311×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	89
1	155	89
2	2076	89

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 x x)

Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))

simplify213.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

650×	`distribute-lft-in`
603×	`distribute-rgt-in`
323×	`times-frac`
264×	`unswap-sqr`
214×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	672	4294979686
1	1347	4294979390
2	3728	4294978653

Stop Event

1×	node limit

Counts

278 → 393

Calls

Call 1

Inputs
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 x (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/32 binary64) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))

Outputs
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 x (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 x (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (cbrt.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(neg.f64 (log.f64 (-.f64 (/.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))

eval53.0ms (0.8%)

Compiler: Compiled 7255 to 1463 computations (79.8% saved)

prune50.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	389	4	393
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	389	5	394

Accuracy

100.0%

Counts

394 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	53.6%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
▶	100.0%	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	98.7%	(log.f64 (+.f64 x x))

Compiler

Compiled 47 to 35 computations (25.5% saved)

localize409.0ms (6.1%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
✓	cost-diff	256	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
✓	cost-diff	0	(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(log.f64 (+.f64 x x))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
✓	accuracy	99.5%	(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
✓	accuracy	55.6%	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
✓	accuracy	100.0%	(+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x x))

Rules

880×	`fma-neg`
613×	`unsub-neg`
517×	`sub-neg`
419×	`distribute-neg-in`
350×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	422
1	48	402
2	60	402
3	97	402
4	185	402
5	401	402
6	493	402
7	616	402
8	936	402
9	2705	402
10	4675	402
11	6538	402
12	7212	402
13	7566	402
14	7687	402
15	7748	402
16	7810	402

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(+.f64 x x)
x
(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
x
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
#s(literal 1/3 binary64)
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
#s(literal 3 binary64)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
x
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
x

Outputs
(log.f64 (+.f64 x x))
(log.f64 (*.f64 #s(literal 2 binary64) x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(log.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))) x))
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))) x)
x
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
#s(literal 1/3 binary64)
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
#s(literal 3 binary64)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
x
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
x

Results

145.0ms

256×

valid

Compiler

Compiled 120 to 25 computations (79.2% saved)

Precisions

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

ival-sqrt: 17.0ms (30.9% of total)

ival-log: 16.0ms (29.1% of total)

ival-add: 8.0ms (14.5% of total)

ival-mult: 5.0ms (9.1% of total)

...c/correct-round.rkt:125:19: 4.0ms (7.3% of total)

ival-fma: 3.0ms (5.5% of total)

const: 1.0ms (1.8% of total)

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

series185.0ms (2.7%)

Counts

15 → 160

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 x x))>
#<alt (+.f64 x x)>
#<alt (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))>
#<alt (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))>
#<alt (log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))>
#<alt (sqrt.f64 (+.f64 x #s(literal -1 binary64)))>
#<alt (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))>
#<alt (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))>
#<alt (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (log.f64 x)>
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>

Outputs
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
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#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/32 binary64) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9/40 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal 9/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 9/32 binary64) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 9/32 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 9/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 x (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>

Calls

42 calls:

Time	Variable		Point	Expression
43.0ms	x	@	inf	(* 3 (log (+ x (sqrt (+ (* x x) -1)))))
30.0ms	x	@	-inf	(+ (log 2) (log x))
27.0ms	x	@	0	(log (+ x x))
19.0ms	x	@	-inf	(log (+ x x))
17.0ms	x	@	0	(+ (log 2) (log x))

rewrite203.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1009×	`log1p-expm1-u`
473×	`expm1-log1p-u`
178×	`add-exp-log`
174×	`add-log-exp`
173×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	345
1	438	276
2	5765	276

Stop Event

1×	node limit

Counts

15 → 441

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
(log.f64 x)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

Outputs
(+.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))))
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(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log1p.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 #s(literal 2 binary64))))
(log1p.f64 #s(literal 1 binary64))
(exp.f64 (log.f64 (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (+.f64 x #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))

simplify449.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

215×	`*-commutative`
131×	`+-commutative`
58×	`sub-neg`
58×	`associate-*r/`
45×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	987	14499
1	3066	14499

Stop Event

1×

unsound

Counts

601 → 547

Calls

Call 1

Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
x
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(log1p.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 #s(literal 2 binary64))))
(log1p.f64 #s(literal 1 binary64))
(exp.f64 (log.f64 (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (+.f64 x #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 x)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 x)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 x)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 x)
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log.f64 x)
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log.f64 x)
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log.f64 x)
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(sqrt.f64 #s(literal -1 binary64))
#s(literal -2 binary64)
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))))
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -2 binary64))))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal -2 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/8 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/8 binary64))))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -2 binary64)
(+.f64 x (sqrt.f64 #s(literal -1 binary64)))
(+.f64 x #s(literal -2 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal -2 binary64))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
(+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) x)
(neg.f64 x)
(.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
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(log.f64 x)
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 x))
(log.f64 x)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 x))
(log.f64 x)
(-.f64 (exp.f64 (log1p.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
#s(literal -2 binary64)
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(literal -2 binary64)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 2 binary64))))
#s(literal -2 binary64)
(*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))))
#s(literal -2 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(pow.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
#s(literal -2 binary64)
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
#s(literal -2 binary64)
(pow.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
#s(literal -2 binary64)
(sqrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(literal -2 binary64)
(cbrt.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
#s(literal -2 binary64)
(expm1.f64 (log1p.f64 (log.f64 #s(literal 2 binary64))))
#s(literal -2 binary64)
(log1p.f64 #s(literal 1 binary64))
#s(literal -2 binary64)
(exp.f64 (log.f64 (log.f64 #s(literal 2 binary64))))
#s(literal -2 binary64)
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal -2 binary64)
(+.f64 #s(literal 0 binary64) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(*.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) #s(literal 1 binary64))
(log.f64 x)
(*.f64 #s(literal 1 binary64) (log.f64 x))
(log.f64 x)
(*.f64 (log.f64 x) #s(literal 1 binary64))
(log.f64 x)
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)))
(log.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)))
(log.f64 x)
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(log.f64 x)
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(log.f64 x)
(pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 3 binary64))
(log.f64 x)
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 x)
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(log.f64 x)
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(log.f64 x)
(expm1.f64 (log1p.f64 (log.f64 x)))
(log.f64 x)
(log1p.f64 (+.f64 x #s(literal -1 binary64)))
(log1p.f64 (+.f64 x #s(literal -2 binary64)))
(exp.f64 (log.f64 (log.f64 x)))
(log.f64 x)
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(log.f64 x)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -2 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 x #s(literal -2 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -2 binary64))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(+.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(+.f64 x #s(literal -2 binary64))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal -2 binary64))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -2 binary64))) (+.f64 x #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -2 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal -2 binary64)))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 x #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 x #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(+.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(+.f64 x #s(literal -2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fabs.f64 (+.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 x #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -2 binary64))))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))
(hypot.f64 #s(literal -2 binary64) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(+.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(+.f64 x #s(literal -2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(+.f64 x #s(literal -2 binary64))
(-.f64 x #s(literal -1 binary64))
(+.f64 x #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal -2 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -2 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -2 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 x #s(literal -2 binary64))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal -2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -2 binary64))
(.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -2 binary64) (fma.f64 x x (+.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(+.f64 x #s(literal -2 binary64))
(.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -2 binary64) (fma.f64 x x (+.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -2 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x x (+.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 x x #s(literal -2 binary64)) (-.f64 (fma.f64 x x #s(literal -2 binary64)) x))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 x x (+.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x x (+.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -2 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 x #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(+.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 x #s(literal -2 binary64))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 x #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -2 binary64))
(exp.f64 (log1p.f64 x))
(+.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(+.f64 x #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(+.f64 x #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -2 binary64))

eval91.0ms (1.4%)

Compiler: Compiled 8604 to 2187 computations (74.6% saved)

prune226.0ms (3.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	545	2	547
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	545	7	552

Accuracy

100.0%

Counts

552 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	1.1%	(+.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
✓	53.6%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
✓	100.0%	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.7%	(log.f64 (+.f64 x x))
▶	31.4%	(log.f64 x)

Compiler

Compiled 56 to 41 computations (26.8% saved)

localize30.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
	cost-diff	0	(log.f64 x)
✓	accuracy	100.0%	(/.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
	accuracy	100.0%	(log.f64 x)

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	11	43

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 x)
x
(+.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
#s(literal -2 binary64)
(/.f64 x #s(literal -2 binary64))
x

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

Results

17.0ms

256×

valid

Compiler

Compiled 15 to 6 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log: 5.0ms (59% of total)

ival-div: 2.0ms (23.6% of total)

ival-add: 1.0ms (11.8% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (+.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))>
#<alt (/.f64 x #s(literal -2 binary64))>

Outputs
#<alt #s(literal -2 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>

Calls

6 calls:

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

rewrite86.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`log1p-expm1-u`
430×	`expm1-log1p-u`
414×	`add-exp-log`
403×	`add-log-exp`
381×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	88	22
2	1149	22

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(+.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
(/.f64 x #s(literal -2 binary64))

Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)))) (cbrt.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (cbrt.f64 (-.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))) (sqrt.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 #s(literal -1/8 binary64) #s(literal 1/3 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 x (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -1/2 binary64)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))
(.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (neg.f64 x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (.f64 x #s(literal -1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 #s(literal -1/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-neg`
462×	`fma-define`
328×	`distribute-lft-in`
308×	`distribute-rgt-in`
284×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	3172
1	514	3078
2	1368	2960
3	5560	2936

Stop Event

1×	node limit

Counts

138 → 165

Calls

Call 1

Inputs
#s(literal -2 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)))) (cbrt.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (cbrt.f64 (-.f64 #s(literal -2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))) (sqrt.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal -2 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 #s(literal -1/8 binary64) #s(literal 1/3 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 x (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -1/2 binary64)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))
(.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(*.f64 (neg.f64 x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (.f64 x #s(literal -1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 #s(literal -1/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))

Outputs
#s(literal -2 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
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(/.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 #s(literal -1/2 binary64)))
(.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 (.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (cbrt.f64 (.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/2 binary64) x)))
(pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) x))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) x)

eval26.0ms (0.4%)

Compiler: Compiled 2190 to 540 computations (75.3% saved)

prune27.0ms (0.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	189	8	197

Accuracy

100.0%

Counts

197 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	53.6%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
▶	1.1%	(*.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.7%	(log.f64 (+.f64 x x))
✓	31.4%	(log.f64 x)
▶	1.6%	#s(literal -2 binary64)

Compiler

Compiled 56 to 42 computations (25% saved)

localize29.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	9	16

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

10.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (77% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

3 calls:

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

rewrite143.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1027×	`log1p-expm1-u`
484×	`expm1-log1p-u`
314×	`associate-r`
287×	`associate-l`
176×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	46	10
2	489	10
3	5807	10

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/2 binary64) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) x))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

623×	`sub-neg`
535×	`times-frac`
344×	`associate-r`
315×	`div-sub`
312×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	486
1	159	480
2	397	473
3	1635	469
4	4869	469

Stop Event

1×	node limit

Counts

25 → 35

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/2 binary64) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) x))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))

Outputs
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))))
(*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/2 binary64) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(fabs.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)

eval4.0ms (0.1%)

Compiler: Compiled 356 to 108 computations (69.7% saved)

prune100.0ms (1.5%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	35	8	43

Accuracy

100.0%

Counts

43 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	53.6%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
✓	1.1%	(*.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
✓	53.8%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	98.7%	(log.f64 (+.f64 x x))
✓	31.4%	(log.f64 x)
✓	1.6%	#s(literal -2 binary64)

Compiler

Compiled 110 to 76 computations (30.9% saved)

regimes12.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
(log.f64 x)
(log.f64 (+.f64 x x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))

Outputs
(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))

Calls

3 calls:

5.0ms	x
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
100.0%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x x))

Calls

3 calls:

3.0ms	x
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
98.7%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(log.f64 x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
31.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.3b remaining (-0.5%)

Threshold costs -0.3b (-0.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal -2 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
3×	`+-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	28	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(log.f64 (+.f64 x x))
(log.f64 x)
#s(literal -2 binary64)

Outputs
(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(log.f64 (+.f64 x x))
(log.f64 x)
#s(literal -2 binary64)

soundness335.0ms (5%)

Rules

693×	`log1p-expm1-u`
693×	`expm1-log1p-u`
598×	`unpow-prod-down`
406×	`fma-define`
311×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	987	14499
1	3066	14499
0	12	89
1	155	89
2	2076	89

Stop Event

1×	done
1×	node limit
1×	unsound

Compiler

Compiled 78 to 44 computations (43.6% saved)

preprocess91.0ms (1.3%)

Compiler: Compiled 60 to 42 computations (30% saved)

Hyperbolic arc-cosine

analyze88.0ms (1.3%)

sample2.8s (41.3%)

preprocess261.0ms (3.9%)

explain77.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize251.0ms (3.7%)

series9.0ms (0.1%)

rewrite316.0ms (4.7%)

simplify213.0ms (3.2%)

eval53.0ms (0.8%)

prune50.0ms (0.7%)

localize409.0ms (6.1%)

series185.0ms (2.7%)

rewrite203.0ms (3%)

simplify449.0ms (6.7%)

eval91.0ms (1.4%)

prune226.0ms (3.4%)

localize30.0ms (0.5%)

series3.0ms (0%)

rewrite86.0ms (1.3%)

simplify104.0ms (1.5%)

eval26.0ms (0.4%)

prune27.0ms (0.4%)

localize29.0ms (0.4%)

series1.0ms (0%)

rewrite143.0ms (2.1%)

simplify62.0ms (0.9%)

eval4.0ms (0.1%)

prune100.0ms (1.5%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

simplify2.0ms (0%)

soundness335.0ms (5%)

preprocess91.0ms (1.3%)

end0.0ms (0%)

Profiling