Metrics for Rust f64::asinh

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

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

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

const: 0.0ms (0% of total)

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

sample383.0ms (9.9%)

Results

242.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-asinh: 81.0ms (90% of total)

const: 6.0ms (6.7% of total)

backward-pass: 3.0ms (3.3% of total)

Bogosity

preprocess49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

53×	`fma-define`
21×	`fma-neg`
12×	`unsub-neg`
12×	`sub-neg`
10×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))

explain665.0ms (17.1%)

FPErrors

Click to see full error table

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

Results

45.0ms	264×	0	valid
228.0ms	152×	5	exit
32.0ms	28×	4	valid
26.0ms	26×	3	valid
6.0ms	16×	1	valid
23.0ms	16×	5	valid
6.0ms	10×	2	valid

Compiler

Compiled 115 to 59 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 297.0ms

ival-log: 110.0ms (37.1% of total)

ival-add: 67.0ms (22.6% of total)

ival-sqrt: 43.0ms (14.5% of total)

backward-pass: 37.0ms (12.5% of total)

ival-copysign: 14.0ms (4.7% of total)

ival-mult: 11.0ms (3.7% of total)

ival-fabs: 11.0ms (3.7% of total)

const: 3.0ms (1% of total)

eval1.0ms (0%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize193.0ms (5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	81.8%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))

Results

21.0ms	132×	0	valid
106.0ms	76×	5	exit
15.0ms	14×	4	valid
11.0ms	13×	3	valid
6.0ms	8×	1	valid
11.0ms	8×	5	valid
3.0ms	5×	2	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-hypot: 52.0ms (36.5% of total)

ival-log: 49.0ms (34.4% of total)

backward-pass: 16.0ms (11.2% of total)

ival-add: 12.0ms (8.4% of total)

ival-copysign: 7.0ms (4.9% of total)

ival-fabs: 5.0ms (3.5% of total)

const: 2.0ms (1.4% of total)

series8.0ms (0.2%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))>

Outputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fabs.f64 x) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 #s(literal -3 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) x))) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (.f64 #s(literal -3 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) x)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))))) x))) x)))>

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
2.0ms	x	@	0	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	inf	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))

rewrite260.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`prod-diff`
480×	`log1p-expm1-u`
480×	`expm1-log1p-u`
410×	`pow1`
377×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	120	23
2	1555	23

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))

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

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-+r+`
587×	`fma-define`
477×	`associate-r`
390×	`associate-l`
365×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	3103
1	527	2973
2	1525	2757
3	5355	2698

Stop Event

1×	node limit

Counts

61 → 112

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 #s(literal -3 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) x))) x)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (.f64 #s(literal -3 binary64) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) x)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))))) x))) x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (log.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/24 binary64) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/720 binary64) (*.f64 (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64)) #s(literal 45 binary64)))) (.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 30 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(neg.f64 (log.f64 (+.f64 (hypot.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))

eval34.0ms (0.9%)

Compiler: Compiled 2460 to 1716 computations (30.2% saved)

prune17.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	6	113

Accuracy

100.0%

Counts

113 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.6%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
▶	8.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
▶	28.1%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
▶	64.7%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	31.8%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
▶	9.7%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 110 to 76 computations (30.9% saved)

localize272.0ms (7%)

Results

166.0ms

256×

invalid

Compiler

Compiled 97 to 58 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-hypot: 64.0ms (45.1% of total)

ival-log: 34.0ms (24% of total)

ival-sub: 11.0ms (7.8% of total)

ival-copysign: 10.0ms (7.1% of total)

ival-div: 8.0ms (5.6% of total)

ival-add: 4.0ms (2.8% of total)

ival-neg: 4.0ms (2.8% of total)

ival-log1p: 3.0ms (2.1% of total)

ival-fabs: 2.0ms (1.4% of total)

const: 2.0ms (1.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	5	5
Done	0	0
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)
✓	8.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
✓	28.1%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
✓	64.7%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	31.8%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
✓	9.7%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 55 to 38 computations (30.9% saved)

localize297.0ms (7.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
✓	75.9%	(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))

New

Accuracy

Program

✓

100.0%

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

✓

75.9%

(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))

Results

59.0ms

256×

valid

Compiler

Compiled 66 to 40 computations (39.4% saved)

Precisions

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

ival-pow: 13.0ms (29.8% of total)

ival-add: 8.0ms (18.3% of total)

ival-div: 7.0ms (16% of total)

ival-mult: 7.0ms (16% of total)

ival-log1p: 3.0ms (6.9% of total)

ival-copysign: 2.0ms (4.6% of total)

ival-fabs: 2.0ms (4.6% of total)

const: 2.0ms (4.6% of total)

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

series6.0ms (0.1%)

Counts

2 → 0

Calls

Call 1

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

Inputs

#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>

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

Outputs

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (pow x 2) (+ 1 (fabs x)))
1.0ms	x	@	0	(/ (pow x 2) (+ 1 (fabs x)))
1.0ms	x	@	-inf	(/ (pow x 2) (+ 1 (fabs x)))
1.0ms	x	@	-inf	(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
1.0ms	x	@	inf	(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))

rewrite96.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log1p-expm1-u`
636×	`expm1-log1p-u`
605×	`unpow-prod-down`
335×	`log-prod`
283×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	155	56
2	2079	56

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

Inputs

(/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))

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

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

simplify115.0ms (3%)

Algorithm

1×	egg-herbie

Rules

599×	`cube-prod`
521×	`exp-prod`
459×	`fma-neg`
356×	`times-frac`
320×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	336	4586
1	649	4568
2	1669	4482
3	5360	4309

Stop Event

1×	node limit

Counts

119 → 158

Calls

Call 1

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

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

eval45.0ms (1.2%)

Compiler: Compiled 3693 to 2465 computations (33.3% saved)

prune24.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	158	6	164

Accuracy

100.0%

Counts

164 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)
✓	8.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
✓	28.1%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
✓	64.7%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	31.8%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
✓	9.7%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 54 to 37 computations (31.5% saved)

localize78.0ms (2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))

Results

56.0ms

256×

valid

Compiler

Compiled 62 to 36 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 13.0ms (32.4% of total)

ival-add: 10.0ms (24.9% of total)

ival-div: 9.0ms (22.5% of total)

ival-log1p: 3.0ms (7.5% of total)

ival-copysign: 2.0ms (5% of total)

ival-fabs: 2.0ms (5% of total)

const: 1.0ms (2.5% of total)

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

series4.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite89.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`unpow-prod-down`
658×	`log1p-expm1-u`
658×	`expm1-log1p-u`
367×	`log-prod`
186×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	62
1	132	56
2	1816	56

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-neg`
477×	`fma-define`
443×	`exp-prod`
431×	`cube-prod`
382×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	2748
1	522	2506
2	1376	2376
3	4974	2314

Stop Event

1×	node limit

Counts

80 → 119

Calls

Call 1

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

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

eval33.0ms (0.8%)

Compiler: Compiled 2191 to 1404 computations (35.9% saved)

prune20.0ms (0.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	119	6	125

Accuracy

100.0%

Counts

125 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.8%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)
✓	8.6%	(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
✓	28.1%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
✓	64.7%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	31.8%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
✓	9.7%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 140 to 88 computations (37.1% saved)

regimes16.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x)

Outputs

(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)

(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x)

(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)

Calls

2 calls:

12.0ms	x
3.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)

Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
83.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
64.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)

Outputs
(copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 x) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
18.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)

Outputs
(copysign.f64 (log.f64 x) x)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
9.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.4497296392365845e-12	1.4864500461799073
0.0ms	-7.566617918494093	-0.0

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch45.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.449641196477946e-12	2.0975989102243937
22.0ms	-966.2962557737104	-9.595755332830135e-35

Results

30.0ms

336×

valid

Compiler

Compiled 385 to 275 computations (28.6% saved)

Precisions

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

ival-log: 6.0ms (29% of total)

ival-add: 4.0ms (19.3% of total)

ival-copysign: 3.0ms (14.5% of total)

ival-sqrt: 3.0ms (14.5% of total)

ival-fabs: 2.0ms (9.7% of total)

ival-mult: 2.0ms (9.7% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.449641196477946e-12	2.0975989102243937

Results

13.0ms

160×

valid

Compiler

Compiled 187 to 132 computations (29.4% saved)

Precisions

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

ival-log: 3.0ms (33.8% of total)

ival-add: 2.0ms (22.5% of total)

ival-copysign: 1.0ms (11.3% of total)

ival-fabs: 1.0ms (11.3% of total)

ival-mult: 1.0ms (11.3% of total)

ival-sqrt: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch97.0ms (2.5%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
92.0ms	-1.14634893194585e-309	3.919076198738983e-291

Results

86.0ms

101×

exit

Compiler

Compiled 17 to 12 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-log: 21.0ms (29.1% of total)

ival-fabs: 19.0ms (26.3% of total)

backward-pass: 8.0ms (11.1% of total)

ival-mult: 7.0ms (9.7% of total)

ival-sqrt: 6.0ms (8.3% of total)

ival-add: 6.0ms (8.3% of total)

ival-copysign: 4.0ms (5.5% of total)

const: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative`
5×	`*-commutative`
4×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	514
1	74	514
2	81	514
3	85	514
4	86	514

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -3022314549036573/302231454903657293676544 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 x #s(literal 2568967366681087/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal 2568967366681087/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) #s(literal 1 binary64))))) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -3022314549036573/302231454903657293676544 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 x #s(literal 2568967366681087/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal 2568967366681087/151115727451828646838272 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

soundness608.0ms (15.6%)

Rules

636×	`log1p-expm1-u`
636×	`expm1-log1p-u`
619×	`associate-+r+`
605×	`unpow-prod-down`
587×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	228	3103
1	527	2973
2	1525	2757
3	5355	2698
0	14	64
1	155	56
2	2079	56
0	11	27
1	120	23
2	1555	23
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72

Stop Event

1×	done
1×	saturated
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 813 to 518 computations (36.3% saved)

preprocess199.0ms (5.1%)

Compiler: Compiled 336 to 198 computations (41.1% saved)

Iter	Nodes	Cost
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72

Iter	Nodes	Cost
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72

analyze0.0ms (0%)

sample383.0ms (9.9%)

preprocess49.0ms (1.3%)

explain665.0ms (17.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize193.0ms (5%)

series8.0ms (0.2%)

rewrite260.0ms (6.7%)

simplify85.0ms (2.2%)

eval34.0ms (0.9%)

prune17.0ms (0.4%)

localize272.0ms (7%)

eval0.0ms (0%)

prune5.0ms (0.1%)

localize297.0ms (7.6%)

series6.0ms (0.1%)

rewrite96.0ms (2.5%)

simplify115.0ms (3%)

eval45.0ms (1.2%)

prune24.0ms (0.6%)

localize78.0ms (2%)

series4.0ms (0.1%)

rewrite89.0ms (2.3%)

simplify96.0ms (2.5%)

eval33.0ms (0.8%)

prune20.0ms (0.5%)

regimes16.0ms (0.4%)

regimes5.0ms (0.1%)

regimes13.0ms (0.3%)

regimes2.0ms (0%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch45.0ms (1.1%)

bsearch20.0ms (0.5%)

bsearch97.0ms (2.5%)

simplify8.0ms (0.2%)

soundness608.0ms (15.6%)

preprocess199.0ms (5.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72