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)

sample648.0ms (7.8%)

Results

488.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-asinh: 292.0ms (96.8% of total)

const: 7.0ms (2.3% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess49.0ms (0.6%)

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)))

explain238.0ms (2.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
63	-	-	`(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

87.0ms	256×	0	valid
57.0ms	122×	2	valid
35.0ms	134×	1	valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

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

const: 62.0ms (43.6% of total)

ival-log: 33.0ms (23.2% of total)

ival-sqrt: 9.0ms (6.3% of total)

ival-add: 9.0ms (6.3% of total)

backward-pass: 8.0ms (5.6% of total)

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

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

ival-fabs: 6.0ms (4.2% of total)

eval1.0ms (0%)

Compiler: Compiled 21 to 12 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize186.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	53.1%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))

Rules

3×	`1-exp`
2×	`+-commutative`
1×	`hypot-undefine`
1×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	109
1	22	109
2	23	109
3	25	109

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

137.0ms	61×	2	valid
16.0ms	67×	1	valid
14.0ms	128×	0	valid

Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-hypot: 115.0ms (77.2% of total)

ival-log: 20.0ms (13.4% of total)

backward-pass: 4.0ms (2.7% of total)

ival-copysign: 4.0ms (2.7% of total)

ival-fabs: 3.0ms (2% of total)

ival-add: 2.0ms (1.3% of total)

const: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

4 → 36

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))>
#<alt (fabs.f64 x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) 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)))>
#<alt (+.f64 #s(literal 1 binary64) (fabs.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fabs.f64 x) x))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fabs.f64 x) x))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))) x)))))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	inf	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	-inf	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
0.0ms	x	@	inf	(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
0.0ms	x	@	-inf	(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))

rewrite292.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`log1p-expm1-u`
558×	`expm1-log1p-u`
501×	`prod-diff`
444×	`unpow-prod-down`
263×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	94
1	139	78
2	1769	78

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

simplify584.0ms (7%)

Algorithm

1×	egg-herbie

Rules

328×	`associate-+r+`
318×	`associate-+l+`
283×	`fma-neg`
247×	`associate-r`
245×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	584	9508
1	1187	8504
2	4191	7814

Stop Event

1×	node limit

Counts

238 → 329

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

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

eval49.0ms (0.6%)

Compiler: Compiled 5856 to 1388 computations (76.3% saved)

prune43.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	320	9	329
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	9	330

Accuracy

100.0%

Counts

330 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(copysign.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) x)
▶	33.1%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
▶	65.7%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	56.8%	(copysign.f64 (log1p.f64 x) x)
	25.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
▶	19.4%	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
	22.1%	(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
▶	10.4%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	2.7%	(copysign.f64 (log.f64 #s(literal 0 binary64)) x)

Compiler

Compiled 140 to 98 computations (30% saved)

localize382.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
✓	cost-diff	0	(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
✓	cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (fabs.f64 x))
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	128	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(log.f64 (neg.f64 x))
✓	cost-diff	0	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	cost-diff	0	(log.f64 #s(literal 0 binary64))
✓	cost-diff	0	(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(log1p.f64 (fabs.f64 x))
✓	cost-diff	0	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	accuracy	100.0%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
✓	accuracy	100.0%	(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
✓	accuracy	100.0%	(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(log.f64 (neg.f64 x))
✓	accuracy	100.0%	(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
✓	accuracy	100.0%	(log.f64 #s(literal 0 binary64))
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	accuracy	100.0%	(log1p.f64 (fabs.f64 x))
	accuracy	100.0%	(fabs.f64 x)

Rules

88×	`fma-define`
47×	`fma-neg`
21×	`unsub-neg`
21×	`sub-neg`
16×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	294
1	39	294
2	47	294
3	59	294
4	74	294
5	94	294
6	132	294
7	177	294
8	231	294
9	272	294
10	332	294
11	390	294
12	409	294
13	431	294
14	439	294
15	443	294

Stop Event

1×

saturated

Calls

Call 1

Inputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(log.f64 #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 (neg.f64 x)) x)
(log.f64 (neg.f64 x))
(neg.f64 x)
x
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
x
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(log.f64 #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 (neg.f64 x)) x)
(log.f64 (neg.f64 x))
(neg.f64 x)
x
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 x)
x
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Results

179.0ms

256×

invalid

Compiler

Compiled 84 to 20 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-copysign: 133.0ms (84.6% of total)

ival-log: 10.0ms (6.4% of total)

ival-hypot: 4.0ms (2.5% of total)

ival-log1p: 3.0ms (1.9% of total)

ival-add: 2.0ms (1.3% of total)

ival-fabs: 2.0ms (1.3% of total)

ival-neg: 2.0ms (1.3% of total)

ival-sub: 1.0ms (0.6% of total)

const: 0.0ms (0% of total)

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

series242.0ms (2.9%)

Counts

14 → 100

Calls

Call 1

Inputs
#<alt (log1p.f64 (fabs.f64 x))>
#<alt (copysign.f64 (log1p.f64 (fabs.f64 x)) x)>
#<alt (log.f64 #s(literal 0 binary64))>
#<alt (copysign.f64 (log.f64 #s(literal 0 binary64)) x)>
#<alt (log.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (copysign.f64 (log.f64 (neg.f64 x)) x)>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (+.f64 #s(literal 1 binary64) (fabs.f64 x))>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))>
#<alt (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))>
#<alt (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)>

Outputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x)))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x)))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x)))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x)))) x)>

Calls

39 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(log (+ 1 (fabs x)))
30.0ms	x	@	0	(log (neg x))
27.0ms	x	@	-inf	(log (neg x))
25.0ms	x	@	inf	(log (+ 1 (fabs x)))
14.0ms	x	@	-inf	(log (+ 1 (fabs x)))

rewrite409.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`log1p-expm1-u`
854×	`prod-diff`
447×	`expm1-log1p-u`
142×	`add-exp-log`
139×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	241
1	329	205
2	4074	205

Stop Event

1×	node limit

Counts

14 → 802

Calls

Call 1

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

simplify954.0ms (11.4%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-r`
462×	`associate-l`
389×	`fma-define`
315×	`+-commutative`
222×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1155	33952
1	2568	19973

Stop Event

1×	node limit

Counts

902 → 752

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
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(/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
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(/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (.f64 x (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.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)))))
(pow.f64 (exp.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)))))
(sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(fabs.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(hypot.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3/40 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3/40 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -3/40 binary64)))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/112 binary64) #s(literal -3/40 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x (pow.f64 x #s(literal 2 binary64))))
(+.f64 x (+.f64 (hypot.f64 #s(literal 1 binary64) x) (fma.f64 x x (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (hypot.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1 binary64) x x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x) x))
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(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal -1 binary64) x))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
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(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
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(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
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(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
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(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x) (fma.f64 x #s(literal 1 binary64) x))
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(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) x) (hypot.f64 #s(literal 1 binary64) x))
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(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
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(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x x))
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(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x) (fma.f64 #s(literal 1 binary64) x x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
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(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x) x))
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(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x) (fma.f64 x #s(literal -1 binary64) x))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x))
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(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (.f64 (fabs.f64 (cbrt.f64 x)) (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (fabs.f64 (cbrt.f64 x))) (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (fabs.f64 (cbrt.f64 x)) (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
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(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
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(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (.f64 (cbrt.f64 x) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x) (fma.f64 x #s(literal 1 binary64) x))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
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(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1 binary64) x x))
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(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) x) (hypot.f64 #s(literal 1 binary64) x))
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(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
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(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
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(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
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(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(*.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)))
(fabs.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(log.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)

eval379.0ms (4.5%)

Compiler: Compiled 20021 to 3139 computations (84.3% saved)

prune142.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	829	3	832
Fresh	1	3	4
Picked	4	1	5
Done	0	0	0
Total	834	7	841

Accuracy

100.0%

Counts

841 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
▶	29.5%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)
▶	56.8%	(copysign.f64 (log1p.f64 x) x)
	25.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
▶	22.1%	(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
✓	10.4%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	53.3%	(copysign.f64 x x)

Compiler

Compiled 92 to 62 computations (32.6% saved)

localize134.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	-6272	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(log.f64 (*.f64 x #s(literal -2 binary64)))
✓	cost-diff	0	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	cost-diff	0	(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
✓	cost-diff	0	(copysign.f64 x x)
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(copysign.f64 (log1p.f64 x) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
✓	accuracy	100.0%	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
✓	accuracy	100.0%	(log.f64 (*.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(copysign.f64 x x)
✓	accuracy	100.0%	(copysign.f64 (log1p.f64 x) x)
✓	accuracy	100.0%	(log1p.f64 x)

Rules

32×	`fma-define`
12×	`associate-r`
12×	`associate-l`
11×	`*-commutative`
5×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	263
1	38	255
2	56	255
3	74	255
4	84	255
5	94	255
6	113	255
7	146	255
8	151	255

Stop Event

1×

saturated

Calls

Call 1

Inputs
(copysign.f64 (log1p.f64 x) x)
(log1p.f64 x)
x
(copysign.f64 x x)
x
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(log.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
x
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/6 binary64)

Outputs
(copysign.f64 (log1p.f64 x) x)
(log1p.f64 x)
x
(copysign.f64 x x)
x
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(log.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
(copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
x
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/6 binary64)

Results

91.0ms

256×

invalid

Compiler

Compiled 76 to 20 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-copysign: 11.0ms (31.3% of total)

ival-mult: 7.0ms (19.9% of total)

ival-pow: 6.0ms (17.1% of total)

ival-log: 5.0ms (14.2% of total)

ival-log1p: 3.0ms (8.5% of total)

ival-add: 1.0ms (2.8% of total)

const: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

series126.0ms (1.5%)

Counts

14 → 144

Calls

Call 1

Inputs
#<alt (log1p.f64 x)>
#<alt (copysign.f64 (log1p.f64 x) x)>
#<alt (copysign.f64 x x)>
#<alt (log.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)>
#<alt (log.f64 (*.f64 x #s(literal -2 binary64)))>
#<alt (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))>
#<alt (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))>
#<alt (copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)>
#<alt (pow.f64 x #s(literal 3 binary64))>

Outputs
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))>
#<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) x))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x)))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (copysign.f64 (neg.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) x)>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (copysign.f64 (-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (copysign.f64 (-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (copysign.f64 (-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (copysign.f64 (-.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (copysign.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) x)) x)>
#<alt (copysign.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) x)) x)>
#<alt (copysign.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) x)) x)>
#<alt (copysign.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) x)) x)>

Calls

42 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(log (* x 2))
15.0ms	x	@	-inf	(log (* x 2))
6.0ms	x	@	inf	(log (* x 2))
6.0ms	x	@	0	(log (* x -2))
1.0ms	x	@	0	(* (pow x 3) -1/6)

rewrite176.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`log1p-expm1-u`
852×	`prod-diff`
450×	`expm1-log1p-u`
138×	`add-exp-log`
138×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	231
1	319	223
2	3951	223

Stop Event

1×	node limit

Counts

14 → 361

Calls

Call 1

Inputs
(log1p.f64 x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 x x)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(log.f64 (*.f64 x #s(literal -2 binary64)))
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))
(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
(pow.f64 x #s(literal 3 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) #s(literal 1 binary64))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x))) #s(literal 1 binary64))
(*.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log1p.f64 x) x))
(*.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log1p.f64 x) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) (sqrt.f64 (copysign.f64 (log1p.f64 x) x)))
(pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log1p.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log1p.f64 x) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 x x))) #s(literal 1 binary64))
(*.f64 (copysign.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 x x))
(*.f64 (cbrt.f64 (copysign.f64 x x)) (pow.f64 (cbrt.f64 (copysign.f64 x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 x x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 x x)))
(*.f64 (sqrt.f64 (copysign.f64 x x)) (sqrt.f64 (copysign.f64 x x)))
(pow.f64 (copysign.f64 x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 x x))))
(cbrt.f64 (pow.f64 (copysign.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 x x)))
(log1p.f64 (expm1.f64 (copysign.f64 x x)))
(exp.f64 (log.f64 (copysign.f64 x x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 x x)) #s(literal 1 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 #s(literal -2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 #s(literal -1 binary64) (log.f64 #s(literal -2 binary64))))
(+.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) (.f64 (log.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64))) (*.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64)))) (-.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64))))
(pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x))
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(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64)) (.f64 x (cbrt.f64 #s(literal -1/6 binary64))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x))) #s(literal 1 binary64))
(*.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x))
(*.f64 (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) (pow.f64 (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(*.f64 (sqrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) (sqrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(pow.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(exp.f64 (log.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify688.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

932×	`times-frac`
792×	`fma-define`
260×	`fma-neg`
220×	`cancel-sign-sub-inv`
213×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	548	11049
1	1057	10410
2	2964	10284

Stop Event

1×	node limit

Counts

505 → 334

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(*.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) x))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) x)
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x)))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x)))
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(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64)) (.f64 x (cbrt.f64 #s(literal -1/6 binary64))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x))) #s(literal 1 binary64))
(*.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x))
(*.f64 (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) (pow.f64 (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(*.f64 (sqrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) (sqrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(pow.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(exp.f64 (log.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))

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

eval41.0ms (0.5%)

Compiler: Compiled 3911 to 1013 computations (74.1% saved)

prune39.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	333	1	334
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	334	7	341

Accuracy

100.0%

Counts

341 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.6%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
✓	56.8%	(copysign.f64 (log1p.f64 x) x)
▶	29.5%	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
▶	25.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
✓	22.1%	(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
✓	10.4%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	53.3%	(copysign.f64 x x)

Compiler

Compiled 48 to 32 computations (33.3% saved)

localize106.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(hypot.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
✓	accuracy	76.1%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	accuracy	73.5%	(+.f64 x (hypot.f64 #s(literal 1 binary64) x))

Rules

3×	`1-exp`
2×	`+-commutative`
1×	`hypot-undefine`
1×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	141
1	25	141
2	26	141
3	28	141

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
x
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x

Results

37.0ms	111×	1	valid
27.0ms	26×	2	valid
13.0ms	117×	0	invalid
0.0ms	2×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-log: 18.0ms (33.1% of total)

ival-copysign: 16.0ms (29.4% of total)

ival-hypot: 10.0ms (18.4% of total)

backward-pass: 4.0ms (7.4% of total)

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

ival-add: 2.0ms (3.7% of total)

const: 1.0ms (1.8% of total)

series255.0ms (3.1%)

Counts

7 → 60

Calls

Call 1

Inputs
#<alt (+.f64 x (hypot.f64 #s(literal 1 binary64) x))>
#<alt (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))>
#<alt (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)>
#<alt (hypot.f64 #s(literal 1 binary64) x)>
#<alt (log.f64 (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>

Calls

21 calls:

Time	Variable		Point	Expression
105.0ms	x	@	-inf	(log (/ -1/2 x))
14.0ms	x	@	0	(log (/ -1/2 x))
11.0ms	x	@	inf	(log (/ -1/2 x))
1.0ms	x	@	0	(log (+ x (sqrt (+ (* 1 1) (* x x)))))
0.0ms	x	@	inf	(log (+ x (sqrt (+ (* 1 1) (* x x)))))

rewrite122.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`log1p-expm1-u`
829×	`expm1-log1p-u`
472×	`prod-diff`
405×	`log-prod`
184×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	131
1	183	131
2	2266	131

Stop Event

1×	node limit

Counts

7 → 230

Calls

Call 1

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

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

simplify292.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

322×	`fma-neg`
284×	`times-frac`
280×	`associate-+l+`
263×	`associate-+r+`
206×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	597	8499
1	1161	8349
2	3656	7689

Stop Event

1×	node limit

Counts

290 → 356

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
(neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 x))
(-.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (log.f64 x)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (log.f64 x) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (log.f64 x) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x))) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 (neg.f64 x))) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
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(cbrt.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal -1/2 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) (cbrt.f64 (exp.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 1 binary64))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 #s(literal 1 binary64) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (cbrt.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 (sqrt.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) (sqrt.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(pow.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 3 binary64))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 2 binary64)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(log.f64 (exp.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x))))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 3 binary64)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(exp.f64 (log.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 1 binary64)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)

eval65.0ms (0.8%)

Compiler: Compiled 5280 to 1326 computations (74.9% saved)

prune224.0ms (2.7%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	356	7	363

Accuracy

100.0%

Counts

363 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.6%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
✓	56.8%	(copysign.f64 (log1p.f64 x) x)
✓	29.5%	(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
✓	25.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
✓	22.1%	(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
✓	10.4%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	53.3%	(copysign.f64 x x)

Compiler

Compiled 156 to 91 computations (41.7% saved)

regimes51.0ms (0.6%)

Counts

15 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (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 (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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) x)

Outputs

(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)

(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)

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

Calls

2 calls:

5.0ms	x
4.0ms	(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

10 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)

Outputs

(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)

(copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x)

(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
58.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -32.4b remaining (-108.2%)

Threshold costs -32.4b (-108.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)

Outputs
(copysign.f64 x x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
53.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.083171988204908e-10	6.90113463698987
0.0ms	-35.813614489883655	-8.183232958092314e-7

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	9.083172547563378e-10	496.70010976414
21.0ms	-1789061023627588.8	-8.183232959015681e-7

Results

28.0ms

336×

valid

Compiler

Compiled 416 to 306 computations (26.4% saved)

Precisions

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

ival-log: 4.0ms (21.1% of total)

ival-copysign: 3.0ms (15.9% of total)

ival-add: 3.0ms (15.9% of total)

ival-mult: 3.0ms (15.9% of total)

ival-sqrt: 3.0ms (15.9% of total)

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

const: 0.0ms (0% of total)

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

bsearch63.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.083172547563378e-10	496.70010976414
35.0ms	-1789061023627588.8	-8.183232959015681e-7

Results

27.0ms

336×

valid

Compiler

Compiled 290 to 201 computations (30.7% saved)

Precisions

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

ival-add: 4.0ms (22.1% of total)

ival-log: 4.0ms (22.1% of total)

ival-copysign: 3.0ms (16.6% of total)

ival-mult: 3.0ms (16.6% of total)

ival-sqrt: 3.0ms (16.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch106.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
83.0ms	9.083172547563378e-10	496.70010976414
19.0ms	-1789061023627588.8	-8.183232959015681e-7

Results

92.0ms

336×

valid

Compiler

Compiled 279 to 190 computations (31.9% saved)

Precisions

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

ival-log: 4.0ms (22.5% of total)

ival-copysign: 3.0ms (16.9% of total)

ival-add: 3.0ms (16.9% of total)

ival-mult: 3.0ms (16.9% of total)

ival-sqrt: 3.0ms (16.9% of total)

ival-fabs: 2.0ms (11.2% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-1789061023627588.8	-8.183232959015681e-7

Results

16.0ms

176×

valid

Compiler

Compiled 160 to 111 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 3.0ms (26.3% of total)

ival-copysign: 2.0ms (17.5% of total)

ival-add: 2.0ms (17.5% of total)

ival-log: 2.0ms (17.5% of total)

ival-fabs: 1.0ms (8.8% of total)

ival-sqrt: 1.0ms (8.8% of total)

const: 0.0ms (0% of total)

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

bsearch76.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
74.0ms	9.083172547563378e-10	496.70010976414

Results

69.0ms

160×

valid

Compiler

Compiled 127 to 82 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-sqrt: 58.0ms (89.1% of total)

ival-add: 2.0ms (3.1% of total)

ival-log: 2.0ms (3.1% of total)

ival-copysign: 1.0ms (1.5% of total)

ival-fabs: 1.0ms (1.5% of total)

ival-mult: 1.0ms (1.5% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	576
1	77	576
2	79	576
3	80	576

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 -20 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) 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 4835703278458517/4835703278458516698824704 binary64)) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (copysign.f64 (+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x) (copysign.f64 (log.f64 (.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -3602879701896397/1125899906842624 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 binary64)) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.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 -20 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) 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 4835703278458517/4835703278458516698824704 binary64)) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (copysign.f64 (+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) x) (copysign.f64 (log.f64 (.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -5/4 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -3602879701896397/1125899906842624 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 binary64)) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

soundness1.0s (12.3%)

Rules

1116×	`log1p-expm1-u`
932×	`times-frac`
852×	`prod-diff`
792×	`fma-define`
558×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1155	33952
1	2568	19973
0	584	9508
1	1187	8504
2	4191	7814
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
0	548	11049
1	1057	10410
2	2964	10284
0	12	94
1	139	78
2	1769	78
0	24	231
1	319	223
2	3951	223

Stop Event

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

Compiler

Compiled 1061 to 434 computations (59.1% saved)

preprocess62.0ms (0.7%)

Compiler: Compiled 378 to 150 computations (60.3% 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	24	294
1	39	294
2	47	294
3	59	294
4	74	294
5	94	294
6	132	294
7	177	294
8	231	294
9	272	294
10	332	294
11	390	294
12	409	294
13	431	294
14	439	294
15	443	294

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	24	294
1	39	294
2	47	294
3	59	294
4	74	294
5	94	294
6	132	294
7	177	294
8	231	294
9	272	294
10	332	294
11	390	294
12	409	294
13	431	294
14	439	294
15	443	294

analyze0.0ms (0%)

sample648.0ms (7.8%)

preprocess49.0ms (0.6%)

explain238.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize186.0ms (2.2%)

series8.0ms (0.1%)

rewrite292.0ms (3.5%)

simplify584.0ms (7%)

eval49.0ms (0.6%)

prune43.0ms (0.5%)

localize382.0ms (4.6%)

series242.0ms (2.9%)

rewrite409.0ms (4.9%)

simplify954.0ms (11.4%)

eval379.0ms (4.5%)

prune142.0ms (1.7%)

localize134.0ms (1.6%)

series126.0ms (1.5%)

rewrite176.0ms (2.1%)

simplify688.0ms (8.2%)

eval41.0ms (0.5%)

prune39.0ms (0.5%)

localize106.0ms (1.3%)

series255.0ms (3.1%)

rewrite122.0ms (1.5%)

simplify292.0ms (3.5%)

eval65.0ms (0.8%)

prune224.0ms (2.7%)

regimes51.0ms (0.6%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch44.0ms (0.5%)

bsearch63.0ms (0.7%)

bsearch106.0ms (1.3%)

bsearch24.0ms (0.3%)

bsearch76.0ms (0.9%)

simplify9.0ms (0.1%)

soundness1.0s (12.3%)

preprocess62.0ms (0.7%)

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

Iter	Nodes	Cost
0	24	294
1	39	294
2	47	294
3	59	294
4	74	294
5	94	294
6	132	294
7	177	294
8	231	294
9	272	294
10	332	294
11	390	294
12	409	294
13	431	294
14	439	294
15	443	294