Metrics for Hyperbolic arc-(co)secant

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-div, time spent: 1.0ms, 42.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-log, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

sample1.4s (21.3%)

Results

1.3s	8255×	256	valid
2.0ms	19×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 618.0ms

Operation ival-log, time spent: 202.0ms, 33.0% of total-time

Operation ival-div, time spent: 163.0ms, 26.0% of total-time

Operation ival-sqrt, time spent: 74.0ms, 12.0% of total-time

Operation ival-mult, time spent: 66.0ms, 11.0% of total-time

Operation ival-sub, time spent: 50.0ms, 8.0% of total-time

Operation ival-add, time spent: 45.0ms, 7.0% of total-time

Operation const, time spent: 19.0ms, 3.0% of total-time

Bogosity

preprocess332.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-define`
504×	`fma-neg`
455×	`associate-+r+`
430×	`distribute-lft-out--`
403×	`unsub-neg`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	50	208
2	84	208
3	170	208
4	305	196
5	512	196
6	789	172
7	1360	172
8	2100	172
9	2974	172
10	5680	172
11	7159	172

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 122 to 70 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

Operation ival-div, time spent: 26.0ms, 33.0% of total-time

Operation ival-sqrt, time spent: 16.0ms, 20.0% of total-time

Operation ival-sub, time spent: 14.0ms, 18.0% of total-time

Operation ival-log, time spent: 11.0ms, 14.0% of total-time

Operation ival-add, time spent: 5.0ms, 6.0% of total-time

Operation ival-mult, time spent: 4.0ms, 5.0% of total-time

Operation const, time spent: 3.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 38 to 28 computations (26.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize85.0ms (1.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Compiler

Compiled 54 to 30 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

Operation ival-div, time spent: 12.0ms, 32.0% of total-time

Operation ival-sqrt, time spent: 8.0ms, 21.0% of total-time

Operation ival-sub, time spent: 7.0ms, 19.0% of total-time

Operation ival-log, time spent: 5.0ms, 13.0% of total-time

Operation ival-add, time spent: 2.0ms, 5.0% of total-time

Operation ival-mult, time spent: 2.0ms, 5.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

series7.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite224.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`log1p-expm1-u`
1034×	`expm1-log1p-u`
404×	`fma-define`
203×	`fma-neg`
161×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	205	65
2	2952	65

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

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

simplify114.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

484×	`distribute-lft-in`
424×	`fma-define`
419×	`distribute-rgt-in`
339×	`fma-neg`
256×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	3402
1	535	3205
2	1385	3114
3	4617	2969

Stop Event

1×	node limit

Counts

72 → 151

Calls

Call 1

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

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

eval67.0ms (1%)

Compiler: Compiled 3197 to 2667 computations (16.6% saved)

prune21.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	5	152

Accuracy

100.0%

Counts

152 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	99.6%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
▶	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) x)))
▶	98.9%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 60 to 48 computations (20% saved)

localize2.0s (31.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	100.0%	(log.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	99.4%	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
✓	100.0%	(*.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	100.0%	(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) x)))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 178 to 140 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.2s

Operation ival-log, time spent: 733.0ms, 33.0% of total-time

Operation composed, time spent: 608.0ms, 28.0% of total-time

Operation ival-exp, time spent: 273.0ms, 12.0% of total-time

Operation ival-pow, time spent: 147.0ms, 7.0% of total-time

Operation ival-div, time spent: 132.0ms, 6.0% of total-time

Operation ival-sqrt, time spent: 84.0ms, 4.0% of total-time

Operation ival-add, time spent: 67.0ms, 3.0% of total-time

Operation ival-sub, time spent: 51.0ms, 2.0% of total-time

Operation ival-mult, time spent: 44.0ms, 2.0% of total-time

Operation ival-neg, time spent: 41.0ms, 2.0% of total-time

Operation const, time spent: 28.0ms, 1.0% of total-time

series415.0ms (6.5%)

Counts

8 → 92

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(log (+ (/ 1 x) (/ 1 x)))
32.0ms	x	@	-inf	(- (log 2) (log x))
22.0ms	x	@	inf	(log (+ (/ 1 x) (/ 1 x)))
20.0ms	x	@	0	(- (log 2) (log x))
18.0ms	x	@	-inf	(log (+ (/ 1 x) (/ 1 x)))

rewrite183.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`log1p-expm1-u`
208×	`expm1-log1p-u`
199×	`add-exp-log`
194×	`add-log-exp`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	232
1	492	149
2	6793	149

Stop Event

1×	node limit

Counts

8 → 232

Calls

Call 1

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

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

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

135×	`*-commutative`
100×	`+-commutative`
76×	`sub-neg`
37×	`associate-*r/`
27×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	736	10994
1	1912	10994

Stop Event

1×

unsound

Counts

324 → 420

Calls

Call 1

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

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

eval187.0ms (2.9%)

Compiler: Compiled 7585 to 6211 computations (18.1% saved)

prune59.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	418	2	420
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	419	6	425

Accuracy

100.0%

Counts

425 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	98.9%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x))))
▶	31.5%	(neg.f64 (log.f64 x))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) x)))
✓	98.9%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 59 to 47 computations (20.3% saved)

localize91.0ms (1.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.4%	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x))

Compiler

Compiled 41 to 32 computations (22% saved)

Precisions

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

Operation ival-log, time spent: 13.0ms, 29.0% of total-time

Operation ival-div, time spent: 10.0ms, 23.0% of total-time

Operation ival-add, time spent: 9.0ms, 20.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 14.0% of total-time

Operation ival-mult, time spent: 2.0ms, 5.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

series2.0ms (0%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt (/ (+ 1 1) x))
1.0ms	x	@	-inf	(sqrt (/ (+ 1 1) x))
0.0ms	x	@	inf	(sqrt (/ (+ 1 1) x))

rewrite69.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

302×	`log1p-expm1-u`
302×	`expm1-log1p-u`
291×	`add-exp-log`
290×	`unpow-prod-down`
275×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	81	14
2	869	14

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

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

simplify131.0ms (2%)

Algorithm

1×	egg-herbie

Rules

557×	`div-sub`
444×	`fma-neg`
366×	`sub-neg`
276×	`distribute-lft-neg-in`
244×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	232	2701
1	369	2647
2	775	2595
3	1897	2486
4	4172	2472
5	6536	2465

Stop Event

1×	node limit

Counts

93 → 103

Calls

Call 1

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

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

eval40.0ms (0.6%)

Compiler: Compiled 1265 to 1092 computations (13.7% saved)

prune15.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	103	6	109

Accuracy

100.0%

Counts

109 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
▶	98.9%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
✓	31.5%	(neg.f64 (log.f64 x))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) x)))
✓	98.9%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 57 to 45 computations (21.1% saved)

localize67.0ms (1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.4%	(sqrt.f64 (/.f64 #s(literal 2 binary64) x))

Compiler

Compiled 23 to 18 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

Operation ival-log, time spent: 11.0ms, 39.0% of total-time

Operation ival-div, time spent: 8.0ms, 28.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 21.0% of total-time

Operation ival-mult, time spent: 2.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite109.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

302×	`log1p-expm1-u`
302×	`expm1-log1p-u`
291×	`add-exp-log`
290×	`unpow-prod-down`
277×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	75	14
2	869	14

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

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

simplify132.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

557×	`div-sub`
445×	`fma-neg`
364×	`sub-neg`
276×	`distribute-lft-neg-in`
244×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	231	2743
1	364	2689
2	762	2637
3	1869	2528
4	4104	2514
5	6443	2507

Stop Event

1×	node limit

Counts

93 → 104

Calls

Call 1

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

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

eval80.0ms (1.2%)

Compiler: Compiled 1276 to 1101 computations (13.7% saved)

prune21.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	104	6	110

Accuracy

100.0%

Counts

110 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	98.9%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
✓	31.5%	(neg.f64 (log.f64 x))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
✓	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) x)))
✓	98.9%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 132 to 104 computations (21.2% saved)

regimes12.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.6%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes8.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.6%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 x))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
31.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative`
7×	`sub-neg`
5×	`*-commutative`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	159
1	48	159
2	60	159
3	67	159
4	70	159

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 48 to 38 computations (20.8% saved)

soundness348.0ms (5.4%)

Rules

1034×	`log1p-expm1-u`
1034×	`expm1-log1p-u`
484×	`distribute-lft-in`
424×	`fma-define`
419×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	736	10994
1	1912	10994
0	244	3402
1	535	3205
2	1385	3114
3	4617	2969
0	14	68
1	205	65
2	2952	65

Stop Event

1×	node limit
1×	node limit
1×	unsound

Compiler

Compiled 381 to 286 computations (24.9% saved)

end0.0ms (0%)

preprocess69.0ms (1.1%)

Compiler: Compiled 116 to 86 computations (25.9% saved)

analyze5.0ms (0.1%)

sample1.4s (21.3%)

preprocess332.0ms (5.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize85.0ms (1.3%)

series7.0ms (0.1%)

rewrite224.0ms (3.5%)

simplify114.0ms (1.8%)

eval67.0ms (1%)

prune21.0ms (0.3%)

localize2.0s (31.7%)

series415.0ms (6.5%)

rewrite183.0ms (2.9%)

simplify94.0ms (1.5%)

eval187.0ms (2.9%)

prune59.0ms (0.9%)

localize91.0ms (1.4%)

series2.0ms (0%)

rewrite69.0ms (1.1%)

simplify131.0ms (2%)

eval40.0ms (0.6%)

prune15.0ms (0.2%)

localize67.0ms (1%)

series1.0ms (0%)

rewrite109.0ms (1.7%)

simplify132.0ms (2.1%)

eval80.0ms (1.2%)

prune21.0ms (0.3%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes6.0ms (0.1%)

simplify7.0ms (0.1%)

soundness348.0ms (5.4%)

end0.0ms (0%)

preprocess69.0ms (1.1%)

Profiling