Metrics for sqrt E (should all be same)

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

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

Operation ival-add, 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

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

sample1.2s (31.1%)

Results

1.1s	8254×	0	valid
2.0ms	4×	6	exit
0.0ms	1×	0	valid
0.0ms	1×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 511.0ms

Operation ival-pow, time spent: 250.0ms, 49.0% of total-time

Operation ival-sqrt, time spent: 121.0ms, 24.0% of total-time

Operation ival-add, time spent: 109.0ms, 21.0% of total-time

Operation const, time spent: 31.0ms, 6.0% of total-time

Bogosity

preprocess459.0ms (11.9%)

Algorithm

1×	egg-herbie

Rules

1396×	`fma-neg`
980×	`distribute-lft-out`
886×	`hypot-define`
740×	`distribute-lft-neg-in`
644×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
131	-	6	(3.5461304182027526e-159)	`(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))`
0	-	0	-	`(+.f64 (pow.f64 x 2) (pow.f64 x 2))`
0	-	0	-	`x`
0	-	0	-	`(pow.f64 x 2)`
0	-	0	-	`2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	31	56
2	78	56
3	251	56
4	1080	56
5	2840	56
6	5830	56
7	7892	56

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(sqrt.f64 (+.f64 (pow.f64 (neg.f64 x) 2) (pow.f64 (neg.f64 x) 2)))
(neg.f64 (sqrt.f64 (+.f64 (pow.f64 (neg.f64 x) 2) (pow.f64 (neg.f64 x) 2))))

Outputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (pow.f64 (neg.f64 x) 2) (pow.f64 (neg.f64 x) 2)))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(hypot.f64 x x)
(neg.f64 (sqrt.f64 (+.f64 (pow.f64 (neg.f64 x) 2) (pow.f64 (neg.f64 x) 2))))
(neg.f64 (sqrt.f64 (*.f64 2 (pow.f64 (neg.f64 x) 2))))
(neg.f64 (hypot.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 53 to 39 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

Operation ival-pow, time spent: 17.0ms, 40.0% of total-time

Operation ival-add, time spent: 15.0ms, 35.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 16.0% of total-time

Operation const, time spent: 4.0ms, 9.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune6.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	53.8%	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize180.0ms (4.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	100.0%	(*.f64 2 (pow.f64 x 2))
✓	53.9%	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 22 to 15 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

Operation composed, time spent: 135.0ms, 48.0% of total-time

Operation ival-mult, time spent: 131.0ms, 46.0% of total-time

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

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

Operation ival-add, time spent: 3.0ms, 1.0% of total-time

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

series11.0ms (0.3%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(hypot.f64 x x)
1.0ms	x	@	0	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
1.0ms	x	@	inf	(*.f64 2 (pow.f64 x 2))
1.0ms	x	@	inf	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
1.0ms	x	@	0	(*.f64 2 (pow.f64 x 2))

rewrite196.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`unpow-prod-down`
394×	`log-prod`
376×	`cbrt-prod`
318×	`log1p-expm1-u`
318×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	112	42
2	1248	42

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(hypot.f64 x x)

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

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

208×	`sqr-pow`
190×	`associate-r`
186×	`associate-l`
102×	`*-commutative`
86×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	5683
1	542	5683
2	1491	5683

Stop Event

1×

unsound

Counts

199 → 122

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(.f64 -1 (.f64 x (sqrt.f64 2)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 2 (hypot.f64 x x)) 1/3))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 2 (hypot.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2)))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 x) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 4)) 1/2))
(*.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 4))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (cbrt.f64 2) (pow.f64 (.f64 (pow.f64 x 2) (hypot.f64 x x)) 1/3))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 x 2) (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (pow.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 (.f64 x (hypot.f64 x x)) 1/2))
(.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (.f64 x (hypot.f64 x x))))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2)))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4)) 1/2) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (pow.f64 (.f64 (hypot.f64 x x) (sqrt.f64 2)) 1/2) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (pow.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2)) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4))) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 (hypot.f64 x x) (sqrt.f64 2))) (sqrt.f64 x))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/4)
(pow.f64 (*.f64 (pow.f64 x 6) 8) 1/6)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(pow.f64 (exp.f64 1/2) (fma.f64 2 (log.f64 x) (log.f64 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
(+.f64 0 (*.f64 2 (pow.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2))) 2)))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) 1)
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 4) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 4)) (-.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 (hypot.f64 x x) 2)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 6)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 2/3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) 8) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 4)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 x) (log.f64 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (log.f64 x) (log.f64 2)) 2))) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x 2)))
(cbrt.f64 (*.f64 (pow.f64 x 6) 8))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x 2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 2)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 4)) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 8)) 1/3))
(fma.f64 x x (pow.f64 x 2))
(fma.f64 (pow.f64 x 2) 1 (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (pow.f64 x 2))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (pow.f64 x 2))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 2 (hypot.f64 x x)) 1/3))
(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 2 (hypot.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 2)))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 x) (pow.f64 (+.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 4)) 1/2))
(*.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 4))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 2) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 2)))
(.f64 (cbrt.f64 2) (pow.f64 (.f64 (pow.f64 x 2) (hypot.f64 x x)) 1/3))
(.f64 (cbrt.f64 2) (cbrt.f64 (.f64 (pow.f64 x 2) (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (pow.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x 2)) 5/6)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 (.f64 x (hypot.f64 x x)) 1/2))
(.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (.f64 x (hypot.f64 x x))))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2)))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4)) 1/2) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (pow.f64 (.f64 (hypot.f64 x x) (sqrt.f64 2)) 1/2) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) 4) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (pow.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2)) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 5/6)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 x x) 3/2)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 4))) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 (hypot.f64 x x) (sqrt.f64 2))) (sqrt.f64 x))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 2))) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/4)
(pow.f64 (*.f64 (pow.f64 x 6) 8) 1/6)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(pow.f64 (exp.f64 1/2) (fma.f64 2 (log.f64 x) (log.f64 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))

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

eval107.0ms (2.8%)

Compiler: Compiled 1191 to 754 computations (36.7% saved)

prune30.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	120	4	124

Accuracy

100.0%

Counts

124 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
✓	100.0%	(hypot.f64 x x)
▶	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize124.0ms (3.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
	100.0%	(hypot.f64 x x)
✓	99.8%	(sqrt.f64 (hypot.f64 x x))
✓	99.2%	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
✓	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 43 to 24 computations (44.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

Operation ival-sqrt, time spent: 50.0ms, 62.0% of total-time

Operation ival-mult, time spent: 12.0ms, 15.0% of total-time

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

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

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

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

series8.0ms (0.2%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) x)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
1.0ms	x	@	0	(sqrt.f64 (hypot.f64 x x))

rewrite103.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`prod-exp`
722×	`log-prod`
636×	`pow-prod-down`
566×	`log1p-expm1-u`
566×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	211	56
2	2210	56

Stop Event

1×	node limit

Counts

4 → 242

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(sqrt.f64 (hypot.f64 x x))

Outputs
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 2/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4)
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 2/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4)
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 2 x) 1/6) (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (sqrt.f64 (*.f64 2 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 2 x) 1/4) (.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 x)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 x))))
(*.f64 (pow.f64 (hypot.f64 x x) 3/4) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 2 x))) (pow.f64 (.f64 2 x) 1/6))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 2 x) 1/4)) (pow.f64 (.f64 2 x) 1/4))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(+.f64 0 (sqrt.f64 (hypot.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x)))) 1)
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (pow.f64 (.f64 2 x) 1/4) (pow.f64 x 1/4))
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 2 x) 1/4))
(pow.f64 (hypot.f64 x x) 1/2)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/6)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)
(fabs.f64 (sqrt.f64 (hypot.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/4)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) 1))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (sqrt.f64 x)) 1)))

simplify119.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1072×	`fma-define`
908×	`log-prod`
868×	`unswap-sqr`
822×	`exp-prod`
538×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	4399
1	609	4275
2	1393	4068
3	4880	4068

Stop Event

1×	node limit

Counts

266 → 145

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 2/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4)
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 6)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 2/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 4)
(pow.f64 (pow.f64 (hypot.f64 x x) 4) 1/4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 1)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 1 (hypot.f64 x x))
(.f64 (cbrt.f64 2) (.f64 (pow.f64 2 1/6) x))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (.f64 2 x)) (.f64 (pow.f64 (.f64 2 x) 1/6) (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (sqrt.f64 (*.f64 2 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 2 x) 1/4) (.f64 (pow.f64 (.f64 2 x) 1/4) (sqrt.f64 x)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 3/4))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 2 x))))
(*.f64 (pow.f64 (hypot.f64 x x) 3/4) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (pow.f64 (hypot.f64 x x) 5/6) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (pow.f64 2 1/6))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (.f64 2 x))) (pow.f64 (.f64 2 x) 1/6))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 2 x) 1/4)) (pow.f64 (.f64 2 x) 1/4))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 2 x))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 2 x)) 1/2) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 2 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (*.f64 2 x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (hypot.f64 x x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1)))
(+.f64 0 (sqrt.f64 (hypot.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x)))) 1)
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (pow.f64 (.f64 2 x) 1/4) (pow.f64 x 1/4))
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/4))
(.f64 (pow.f64 x 1/4) (pow.f64 (.f64 2 x) 1/4))
(pow.f64 (hypot.f64 x x) 1/2)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/6)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)
(fabs.f64 (sqrt.f64 (hypot.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 2 (pow.f64 x 2))) 1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/4)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1) 1))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (sqrt.f64 x)) 1)))

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

eval146.0ms (3.8%)

Compiler: Compiled 1435 to 881 computations (38.6% saved)

prune19.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	145	5	150

Accuracy

100.0%

Counts

150 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
✓	100.0%	(hypot.f64 x x)
▶	99.3%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 36 to 29 computations (19.4% saved)

localize233.0ms (6%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
✓	99.2%	(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
✓	99.7%	(*.f64 (pow.f64 2 1/4) x)
✓	99.5%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))

Compiler

Compiled 44 to 35 computations (20.5% saved)

Precisions

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

Operation ival-pow, time spent: 27.0ms, 61.0% of total-time

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

Operation const, time spent: 5.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 9.0% of total-time

series58.0ms (1.5%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	(*.f64 (pow.f64 2 1/4) x)
1.0ms	x	@	0	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
1.0ms	x	@	inf	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
1.0ms	x	@	inf	(*.f64 (pow.f64 2 1/4) x)
1.0ms	x	@	-inf	(*.f64 (pow.f64 2 1/4) x)

rewrite147.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1302×	`unpow-prod-down`
844×	`prod-exp`
666×	`log-prod`
560×	`pow-prod-down`
502×	`log1p-expm1-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	159	68
2	1814	62

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

Inputs
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (pow.f64 2 1/4) x)
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))

Outputs
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6) 6)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2) 2/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4) 4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 2)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 2))) 1) 1))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (*.f64 (pow.f64 2 1/4) x)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (log.f64 (*.f64 (pow.f64 2 1/4) x))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (*.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 2) (.f64 (*.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1) (*.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1) (.f64 (.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(+.f64 0 (*.f64 (pow.f64 2 1/4) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 2 1/4) x))) 1)
(pow.f64 (*.f64 (pow.f64 2 1/4) x) 1)
(pow.f64 (*.f64 (pow.f64 2 1/12) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) 1/2)
(pow.f64 (*.f64 (pow.f64 2 3/4) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 2 1/8)) 2)
(sqrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))
(cbrt.f64 (*.f64 (pow.f64 2 3/4) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 2 1/4) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 2 1/4) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 2 1/4) x)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/12) (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (pow.f64 2 1/4) x))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 2 1/4) x)) 1) 1))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (sqrt.f64 x)) 2)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 2) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 2) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (pow.f64 2 1/4) x) (pow.f64 2 1/4))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 2 1/4) (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (.f64 x 2) 1/4) 2))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (.f64 x (sqrt.f64 2)) 1)
(.f64 (.f64 x (sqrt.f64 2)) (log.f64 (exp.f64 1)))
(*.f64 (sqrt.f64 2) x)
(.f64 1 (.f64 x (sqrt.f64 2)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (pow.f64 2 1/12) (*.f64 (pow.f64 2 1/4) x)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 (.f64 (pow.f64 2 1/12) (cbrt.f64 x)) (pow.f64 2 1/4)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 2 1/4)) 2))
(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (*.f64 (pow.f64 2 1/4) x)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8)) (.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8)) (pow.f64 2 1/4)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 3/2))
(.f64 (pow.f64 (pow.f64 2 1/12) 4) (pow.f64 (.f64 (pow.f64 2 1/12) (sqrt.f64 x)) 2))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) 3/2) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4))
(.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (pow.f64 2 1/4)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/6) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (.f64 (pow.f64 2 1/4) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (.f64 (pow.f64 2 1/12) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 2 1/4) (.f64 (sqrt.f64 x) (pow.f64 2 1/8))) (.f64 (sqrt.f64 x) (pow.f64 2 1/8)))
(.f64 (.f64 (*.f64 (pow.f64 2 1/4) x) (cbrt.f64 (sqrt.f64 2))) (pow.f64 2 1/12))
(.f64 (.f64 (*.f64 (pow.f64 2 1/4) x) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3))
(.f64 (pow.f64 1 1/3) (.f64 x (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 2))) 2) (cbrt.f64 (sqrt.f64 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 2) 3) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 2 1/4)) 1/3) (.f64 (pow.f64 2 1/12) (cbrt.f64 x)))
(.f64 (pow.f64 (.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 2 1/4) x)) 1/3) (pow.f64 2 1/12))
(.f64 (pow.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2)) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/2) 1/3) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 2)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 2))) 1) 1))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (*.f64 (pow.f64 2 1/4) x)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (log.f64 (*.f64 (pow.f64 2 1/4) x))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (*.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 2) (.f64 (*.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1) (*.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1) (.f64 (.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(+.f64 0 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4) 2)
(sqrt.f64 (*.f64 x (sqrt.f64 2)))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/6)) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3/2)) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 2))) 1) 1/2))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/8) (log.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8)))))
(exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8))) (.f64 (log.f64 2) 1/8)))

simplify178.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1716×	`fma-define`
1042×	`log-prod`
828×	`exp-prod`
776×	`exp-sum`
716×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	374	4294
1	877	3965
2	2312	3925
3	5801	3789

Stop Event

1×	node limit

Counts

203 → 195

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 2))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6) 6)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2) 2/3)
(pow.f64 (*.f64 2 (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4) 4)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 2)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 2))) 1) 1))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (*.f64 (pow.f64 2 1/4) x)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (log.f64 (*.f64 (pow.f64 2 1/4) x))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (*.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 2) (.f64 (*.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1) (*.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1) (.f64 (.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(+.f64 0 (*.f64 (pow.f64 2 1/4) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 2 1/4) x))) 1)
(pow.f64 (*.f64 (pow.f64 2 1/4) x) 1)
(pow.f64 (*.f64 (pow.f64 2 1/12) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 2)) 1/2)
(pow.f64 (*.f64 (pow.f64 2 3/4) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 2 1/8)) 2)
(sqrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 2 1/4)) x))
(cbrt.f64 (*.f64 (pow.f64 2 3/4) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 2 1/4) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 2 1/4) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 2 1/4) x)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/12) (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (pow.f64 2 1/4) x))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 2 1/4) x)) 1) 1))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (sqrt.f64 x)) 2)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 2) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 2) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(+.f64 0 (*.f64 x (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 2)))) 1)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 x (sqrt.f64 2))
(.f64 (.f64 (pow.f64 2 1/4) x) (pow.f64 2 1/4))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 2 1/4) (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (.f64 x 2) 1/4) 2))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (.f64 x (sqrt.f64 2)) 1)
(.f64 (.f64 x (sqrt.f64 2)) (log.f64 (exp.f64 1)))
(*.f64 (sqrt.f64 2) x)
(.f64 1 (.f64 x (sqrt.f64 2)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (pow.f64 2 1/12) (*.f64 (pow.f64 2 1/4) x)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 x 2))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 x 2))) (.f64 (.f64 (pow.f64 2 1/12) (cbrt.f64 x)) (pow.f64 2 1/4)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 2 1/4)) 2))
(.f64 (pow.f64 2 1/8) (.f64 (pow.f64 2 1/8) (*.f64 (pow.f64 2 1/4) x)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8)) (.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8)) (pow.f64 2 1/4)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 3/2))
(.f64 (pow.f64 (pow.f64 2 1/12) 4) (pow.f64 (.f64 (pow.f64 2 1/12) (sqrt.f64 x)) 2))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) 3/2) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4))
(.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (pow.f64 2 1/4)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/6) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (.f64 (pow.f64 2 1/4) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (.f64 (pow.f64 2 1/12) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 2 1/4) (.f64 (sqrt.f64 x) (pow.f64 2 1/8))) (.f64 (sqrt.f64 x) (pow.f64 2 1/8)))
(.f64 (.f64 (*.f64 (pow.f64 2 1/4) x) (cbrt.f64 (sqrt.f64 2))) (pow.f64 2 1/12))
(.f64 (.f64 (*.f64 (pow.f64 2 1/4) x) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))) 3))
(.f64 (pow.f64 1 1/3) (.f64 x (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 2))) 2) (cbrt.f64 (sqrt.f64 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 2) 3) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 2 1/4)) 1/3) (.f64 (pow.f64 2 1/12) (cbrt.f64 x)))
(.f64 (pow.f64 (.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 2 1/4) x)) 1/3) (pow.f64 2 1/12))
(.f64 (pow.f64 (.f64 (*.f64 2 (pow.f64 x 2)) (sqrt.f64 2)) 1/3) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 5/2) 1/3) (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2)))))
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 2)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 2))) 1) 1))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (*.f64 (pow.f64 2 1/4) x)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (log.f64 (*.f64 (pow.f64 2 1/4) x))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (*.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (sqrt.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 2) (.f64 (*.f64 1/4 (log.f64 2)) 2)))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1) (*.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (pow.f64 2 1/4) x)) 1) (.f64 (.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 2) (*.f64 (log.f64 (sqrt.f64 x)) 2)))
(+.f64 0 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 1/4) 2)
(sqrt.f64 (*.f64 x (sqrt.f64 2)))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 2)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 2))) 1/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/6)) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 3/2)) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 2)) 1/4)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 2))) 1) 1/2))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (log.f64 (sqrt.f64 x))))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (*.f64 (log.f64 x) 1/2)))
(exp.f64 (+.f64 (.f64 (.f64 1/4 (log.f64 2)) 1) (*.f64 (log.f64 (sqrt.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (.f64 (.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1/2) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 1/4 (log.f64 2))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 x)) 1) (.f64 (*.f64 1/4 (log.f64 2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/8) (log.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8)))))
(exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 2 1/8))) (.f64 (log.f64 2) 1/8)))

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

eval114.0ms (3%)

Compiler: Compiled 2449 to 2093 computations (14.5% saved)

prune54.0ms (1.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	195	5	200

Accuracy

100.0%

Counts

200 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)
✓	100.0%	(hypot.f64 x x)
✓	99.3%	(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 88 to 67 computations (23.9% saved)

regimes18.0ms (0.5%)

Accuracy

Total -30.0b remaining (-109693.3%)

Threshold costs -30b (-109693.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 (*.f64 (pow.f64 2 1/4) (sqrt.f64 x)) 2)

Outputs
(hypot.f64 x x)

Calls

4 calls:

6.0ms	x
4.0ms	(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
4.0ms	(+.f64 (pow.f64 x 2) (pow.f64 x 2))
4.0ms	(pow.f64 x 2)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))`
100.0%	1	`(+.f64 (pow.f64 x 2) (pow.f64 x 2))`
100.0%	1	`(pow.f64 x 2)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

Compiler

Compiled 4 to 2 computations (50% saved)

soundness255.0ms (6.6%)

Rules

1396×	`fma-neg`
980×	`distribute-lft-out`
886×	`hypot-define`
740×	`distribute-lft-neg-in`
644×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	31	56
2	78	56
3	251	56
4	1080	56
5	2840	56
6	5830	56
7	7892	56

Stop Event

1×	node limit

Compiler

Compiled 28 to 15 computations (46.4% saved)

end0.0ms (0%)

preprocess27.0ms (0.7%)

Remove: (abs x)
Compiler: Compiled 42 to 26 computations (38.1% saved)

analyze1.0ms (0%)

sample1.2s (31.1%)

preprocess459.0ms (11.9%)

eval0.0ms (0%)

prune6.0ms (0.2%)

localize180.0ms (4.7%)

series11.0ms (0.3%)

rewrite196.0ms (5.1%)

simplify65.0ms (1.7%)

eval107.0ms (2.8%)

prune30.0ms (0.8%)

localize124.0ms (3.2%)

series8.0ms (0.2%)

rewrite103.0ms (2.7%)

simplify119.0ms (3.1%)

eval146.0ms (3.8%)

prune19.0ms (0.5%)

localize233.0ms (6%)

series58.0ms (1.5%)

rewrite147.0ms (3.8%)

simplify178.0ms (4.6%)

eval114.0ms (3%)

prune54.0ms (1.4%)

regimes18.0ms (0.5%)

simplify2.0ms (0.1%)

soundness255.0ms (6.6%)

end0.0ms (0%)

preprocess27.0ms (0.7%)

Profiling