Metrics for Hyperbolic arc-cosine

analyze96.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

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

Operation ival-log, time spent: 11.0ms, 25.0% of total-time

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

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

Operation ival-sub, time spent: 8.0ms, 18.0% of total-time

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

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

sample2.6s (42.2%)

Results

1.2s	8255×	256	valid
1.2s	8223×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

Operation ival-sqrt, time spent: 555.0ms, 38.0% of total-time

Operation ival-log, time spent: 404.0ms, 28.0% of total-time

Operation ival-mult, time spent: 170.0ms, 12.0% of total-time

Operation ival-sub, time spent: 158.0ms, 11.0% of total-time

Operation ival-add, time spent: 126.0ms, 9.0% of total-time

Operation const, time spent: 29.0ms, 2.0% of total-time

Bogosity

preprocess476.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

1306×	`distribute-lft-out`
1242×	`distribute-rgt-out--`
1036×	`unsub-neg`
946×	`sub-neg`
900×	`distribute-rgt-out`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
136	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
0	-	-	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`
0	-	-	`1`
0	-	-	`(-.f64 (*.f64 x x) 1)`
0	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`	oflow-rescue	136	0
↳	`(-.f64 (*.f64 x x) 1)`	overflow	136
↳	`(*.f64 x x)`	overflow	136

Confusion

	Predicted +	Predicted -
+	136	0
-	0	120

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	0	0	120

Precision?

1.0

Recall?

1.0

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))

Compiler

Compiled 90 to 50 computations (44.4% saved)

Precisions

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

Operation ival-sub, time spent: 12.0ms, 22.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 22.0% of total-time

Operation ival-log, time spent: 11.0ms, 20.0% of total-time

Operation ival-mult, time spent: 10.0ms, 19.0% of total-time

Operation ival-add, time spent: 6.0ms, 11.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize129.0ms (2.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) 1)
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	50.6%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

Operation ival-sub, time spent: 65.0ms, 67.0% of total-time

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

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

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

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

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

series10.0ms (0.2%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	-inf	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	0	(sqrt (- (* x x) 1))
1.0ms	x	@	inf	(sqrt (- (* x x) 1))

rewrite244.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`unpow-prod-down`
812×	`fma-define`
693×	`log1p-expm1-u`
693×	`expm1-log1p-u`
622×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	94
1	155	94
2	2076	94

Stop Event

1×	node limit

Counts

4 → 291

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(-.f64 (*.f64 x x) 1)

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

simplify186.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1130×	`times-frac`
882×	`unswap-sqr`
710×	`fma-neg`
668×	`associate-r`
654×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	795	4294982142
1	1609	4294981754
2	4743	4294980857

Stop Event

1×	node limit

Counts

339 → 474

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
x
(.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 x)
(.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))
(*.f64 2 x)
(.f64 x (-.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/2 x)
(/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 3/32 (.f64 5/96 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
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(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 2/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 4)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (*.f64 2 (log.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(fma.f64 x x -1)
(fma.f64 (pow.f64 x 2) 1 -1)
(fma.f64 1 (pow.f64 x 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1)

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

eval217.0ms (3.5%)

Compiler: Compiled 8666 to 6463 computations (25.4% saved)

prune77.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	470	4	474
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	470	5	475

Accuracy

100.0%

Counts

475 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.3%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	48.3%	(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	48.5%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
✓	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize325.0ms (5.2%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	99.6%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	99.1%	(cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	50.6%	(sqrt.f64 (fma.f64 x x -1))
✓	100.0%	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	99.5%	(*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	99.4%	(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	50.6%	(sqrt.f64 (fma.f64 x x -1))
✓	100.0%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
✓	100.0%	(+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2))
✓	99.4%	(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
✓	49.1%	(cbrt.f64 (fma.f64 x x -1))

Compiler

Compiled 145 to 92 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

Operation composed, time spent: 73.0ms, 28.0% of total-time

Operation ival-add, time spent: 46.0ms, 18.0% of total-time

Operation ival-mult, time spent: 42.0ms, 16.0% of total-time

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

Operation ival-pow, time spent: 26.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 20.0ms, 8.0% of total-time

Operation ival-cbrt, time spent: 14.0ms, 5.0% of total-time

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

series38.0ms (0.6%)

Counts

12 → 144

Calls

Call 1

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

Outputs
#<alt (cbrt.f64 -1)>
#<alt (+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))>
#<alt (+.f64 (cbrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 5))) (*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))>
#<alt (+.f64 (cbrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 5/81 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 8))) (.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))>
#<alt (cbrt.f64 (pow.f64 x 2))>
#<alt (.f64 x (+.f64 (cbrt.f64 (/.f64 1 x)) (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 x 7))))))>
#<alt (.f64 x (+.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 13)))))))>
#<alt (.f64 x (+.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 13)))) (.f64 -5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 19))))))))>
#<alt (.f64 -1 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 -1)))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 -1)))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 -1)))) (pow.f64 x 3))) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 -1)))))>
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#<alt (sqrt.f64 -1)>
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#<alt (+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
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#<alt x>
#<alt (.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
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#<alt (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 -1 x)>
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#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (sqrt.f64 -1)>
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#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 1/2 (/.f64 x (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))>
#<alt (*.f64 2 x)>
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#<alt (/.f64 1/2 x)>
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#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))>
#<alt (log.f64 (sqrt.f64 -1))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
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#<alt (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))))>
#<alt (sqrt.f64 -1)>
#<alt (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt x>
#<alt (.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 -1 x)>
#<alt (.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (log.f64 (sqrt.f64 -1))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 3/32 (.f64 5/96 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))))>
#<alt (*.f64 3 (log.f64 (sqrt.f64 -1)))>
#<alt (+.f64 (.f64 3 (log.f64 (sqrt.f64 -1))) (.f64 3 (/.f64 x (sqrt.f64 -1))))>
#<alt (+.f64 (.f64 3 (log.f64 (sqrt.f64 -1))) (.f64 x (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 3 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (+.f64 (.f64 3 (log.f64 (sqrt.f64 -1))) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 9/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 3 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 3/4 (.f64 9/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 9/32 (.f64 5/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (*.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 9/32 (pow.f64 x 4)) (.f64 3/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 9/32 (pow.f64 x 4)) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/32 (/.f64 1 (pow.f64 x 6))))))>
#<alt (sqrt.f64 -1)>
#<alt (+.f64 x (sqrt.f64 -1))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 1/2 (/.f64 x (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))>
#<alt (*.f64 2 x)>
#<alt (.f64 x (-.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (/.f64 1/2 x)>
#<alt (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))>
#<alt (sqrt.f64 -1)>
#<alt (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt x>
#<alt (.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 -1 x)>
#<alt (.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (cbrt.f64 (sqrt.f64 -1))>
#<alt (+.f64 (cbrt.f64 (sqrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)))>
#<alt (+.f64 (cbrt.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 1/3 (.f64 (.f64 x (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9)))))>
#<alt (+.f64 (cbrt.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9)) (.f64 x (+.f64 (.f64 -1/3 (.f64 (.f64 x (+.f64 (.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))))) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))))))))>
#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 2))>
#<alt (.f64 x (+.f64 (.f64 -1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))))>
#<alt (.f64 x (+.f64 (.f64 -1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (+.f64 (.f64 -1/24 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 14))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2)))))>
#<alt (.f64 x (+.f64 (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 20))) (/.f64 (+.f64 1/16 (.f64 1/12 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 2) 3)))) (pow.f64 (cbrt.f64 2) 2)))) (+.f64 (.f64 -1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (+.f64 (.f64 -1/24 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 14))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))))))>
#<alt (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2)))>
#<alt (+.f64 (.f64 1/24 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))) (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/24 (.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))) (.f64 -1/48 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))))) (pow.f64 x 3))) (.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/24 (.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))) (+.f64 (.f64 -1/48 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))) (.f64 1/576 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1/2) 5)))))) (pow.f64 x 3))) (.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))>
#<alt (*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 -1))))>
#<alt (+.f64 (.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 -1)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x))>
#<alt (+.f64 (.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 -1)))) (.f64 x (+.f64 (.f64 3/2 (.f64 x (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1)))))) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9))))>
#<alt (+.f64 (.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 -1)))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 1/2 (.f64 x (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (sqrt.f64 -1))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 14)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))) (.f64 2/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))))))) (.f64 3/2 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1))))))) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9))))>
#<alt (.f64 3 (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))) (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (.f64 3 (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 2) 3)))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 2) 3))) (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 2) 3)))) (pow.f64 x 4))) (.f64 3 (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))) (.f64 -1 (log.f64 (/.f64 1 x))))))>
#<alt (-.f64 (+.f64 (.f64 1/13440 (/.f64 (-.f64 (.f64 -13440 (/.f64 (.f64 (pow.f64 x 2) (+.f64 1/16 (.f64 1/12 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 2) 3))))) (pow.f64 (cbrt.f64 2) 3))) (.f64 560 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 2) 6)))) (pow.f64 x 8))) (.f64 3 (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (/.f64 1/2 (.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 2) 3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 2) 3))))))>
#<alt (.f64 3 (log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1/2)))))>
#<alt (-.f64 (.f64 3 (log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/2) 3)))))>
#<alt (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/16 (/.f64 1 (.f64 x (pow.f64 (cbrt.f64 -1/2) 3)))) (.f64 -1/8 (/.f64 x (pow.f64 (cbrt.f64 -1/2) 3)))) (pow.f64 x 3))) (.f64 3 (log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))))>
#<alt (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1/128 (.f64 x (pow.f64 (cbrt.f64 -1/2) 6))) (+.f64 (.f64 -1/8 (/.f64 x (pow.f64 (cbrt.f64 -1/2) 3))) (/.f64 -1/16 (.f64 x (pow.f64 (cbrt.f64 -1/2) 3))))) (pow.f64 x 3))) (.f64 3 (log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))))>
#<alt (log.f64 (cbrt.f64 (sqrt.f64 -1)))>
#<alt (+.f64 (log.f64 (cbrt.f64 (sqrt.f64 -1))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x)))>
#<alt (+.f64 (log.f64 (cbrt.f64 (sqrt.f64 -1))) (.f64 x (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9)) (.f64 1/2 (.f64 x (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1)))))))))>
#<alt (+.f64 (log.f64 (cbrt.f64 (sqrt.f64 -1))) (.f64 x (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9)) (.f64 x (+.f64 (.f64 1/6 (.f64 x (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (sqrt.f64 -1))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 14)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))) (.f64 2/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))))))) (.f64 1/2 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1))))))))))>
#<alt (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))) (.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 2) 3)))))>
#<alt (-.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 -1/6 (.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 2) 3))))) (/.f64 1/24 (.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 2) 3))))>
#<alt (-.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 2))) (cbrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/40320 (/.f64 (-.f64 (.f64 -13440 (/.f64 (.f64 (pow.f64 x 2) (+.f64 1/16 (.f64 1/12 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 2) 3))))) (pow.f64 (cbrt.f64 2) 3))) (.f64 560 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 2) 6)))) (pow.f64 x 8))) (/.f64 -1/6 (.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 2) 3)))))) (.f64 1/24 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 2) 3)))))>
#<alt (log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))>
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#<alt (+.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/24 (/.f64 x (pow.f64 (cbrt.f64 -1/2) 3))) (+.f64 (/.f64 1/384 (.f64 x (pow.f64 (cbrt.f64 -1/2) 6))) (/.f64 1/48 (.f64 x (pow.f64 (cbrt.f64 -1/2) 3))))) (pow.f64 x 3))))>

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* 3 (log (cbrt (+ x (sqrt (+ (* x x) -1))))))
3.0ms	x	@	-inf	(* 3 (log (cbrt (+ x (sqrt (+ (* x x) -1))))))
2.0ms	x	@	inf	(cbrt (+ x (sqrt (+ (* x x) -1))))
2.0ms	x	@	0	(* 3 (log (cbrt (+ x (sqrt (+ (* x x) -1))))))
2.0ms	x	@	-inf	(cbrt (+ x (sqrt (+ (* x x) -1))))

rewrite155.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`prod-diff`
850×	`log1p-expm1-u`
850×	`expm1-log1p-u`
582×	`fma-define`
348×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	382
1	298	334
2	3538	334

Stop Event

1×	node limit

Counts

12 → 325

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2))
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
(sqrt.f64 (fma.f64 x x -1))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))

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

simplify261.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-define`
984×	`times-frac`
734×	`*-commutative`
678×	`associate-r`
584×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	868	38654725863
1	2133	38654725095
2	6657	38654725089

Stop Event

1×	node limit

Counts

469 → 464

Calls

Call 1

Inputs
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 5))) (*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 5/81 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 8))) (.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(cbrt.f64 (pow.f64 x 2))
(.f64 x (+.f64 (cbrt.f64 (/.f64 1 x)) (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 x 7))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 13)))))))
(.f64 x (+.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 13)))) (.f64 -5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 19))))))))
(.f64 -1 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 -1)))
(.f64 -1 (.f64 x (+.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 -1)))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 -1)))) (pow.f64 x 3))) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 -1)))))
(.f64 -1 (.f64 x (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/9 (.f64 (cbrt.f64 (pow.f64 x 5)) (cbrt.f64 -1))) (.f64 5/81 (cbrt.f64 (/.f64 1 x)))) (pow.f64 x 3))) (.f64 -1/3 (cbrt.f64 (pow.f64 x 2)))) (pow.f64 x 3))) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 -1)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
x
(.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 x)
(.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))
(*.f64 2 x)
(.f64 x (-.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/2 x)
(/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 3/32 (.f64 5/96 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
x
(.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 x)
(.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
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(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
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(*.f64 3 (log.f64 (sqrt.f64 -1)))
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(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
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(*.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
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(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
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(*.f64 2 x)
(.f64 x (-.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
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(/.f64 1/2 x)
(/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))
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(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
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x
(.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 x)
(.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(cbrt.f64 (sqrt.f64 -1))
(+.f64 (cbrt.f64 (sqrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)))
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(*.f64 (cbrt.f64 x) (cbrt.f64 2))
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(.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2)))
(+.f64 (.f64 1/24 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))) (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))
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(*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 -1))))
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(.f64 3 (log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (cbrt.f64 -1) (cbrt.f64 -1/2)))))
(-.f64 (.f64 3 (log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/2) 3)))))
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(log.f64 (cbrt.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 -1))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x)))
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(log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2))))
(-.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (cbrt.f64 -1) (cbrt.f64 -1/2)))) (.f64 1/24 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/2) 3)))))
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(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2))
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (fma.f64 x x -1) 1/3)
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(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (.f64 (log.f64 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6)) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 1 3/2) (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3/2) x)
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3/2) x)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3/2))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 3/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6) 2)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(+.f64 0 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6)) (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(*.f64 1/3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))

Outputs
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 5))) (*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 -1/9 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (pow.f64 x 2) (fma.f64 -1/9 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 5)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 5/81 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 8))) (.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/3 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (.f64 5/81 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 8))) (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)))))
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x
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x
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(sqrt.f64 -1)
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x
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(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 0 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6)) (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6)))
(*.f64 2 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 1/3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))

eval270.0ms (4.3%)

Compiler: Compiled 10928 to 9094 computations (16.8% saved)

prune66.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	469	1	470
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	470	5	475

Accuracy

100.0%

Counts

475 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.3%	(.f64 3 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
✓	48.3%	(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	48.5%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
✓	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize119.0ms (1.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	99.6%	(.f64 3 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
✓	99.4%	(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3)
	50.6%	(sqrt.f64 (fma.f64 x x -1))

Compiler

Compiled 52 to 35 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

Operation composed, time spent: 24.0ms, 27.0% of total-time

Operation ival-add, time spent: 22.0ms, 25.0% of total-time

Operation ival-mult, time spent: 17.0ms, 19.0% of total-time

Operation ival-log, time spent: 12.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 11.0% of total-time

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

series10.0ms (0.2%)

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt (*.f64 1/3 (log.f64 (sqrt.f64 -1)))>
#<alt (+.f64 (.f64 1/3 (log.f64 (sqrt.f64 -1))) (.f64 1/3 (/.f64 x (sqrt.f64 -1))))>
#<alt (+.f64 (.f64 1/3 (log.f64 (sqrt.f64 -1))) (.f64 x (+.f64 (.f64 -1/18 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/3 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (+.f64 (.f64 1/3 (log.f64 (sqrt.f64 -1))) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/18 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/3 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 1/12 (.f64 1/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/32 (.f64 5/288 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2))))>
#<alt (*.f64 1/3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (.f64 1/3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (.f64 1/12 (/.f64 1 (pow.f64 x 2))))>
#<alt (+.f64 (.f64 1/3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (.f64 1/12 (/.f64 1 (pow.f64 x 2)))))>
#<alt (+.f64 (.f64 1/3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 x 2))) (*.f64 5/288 (/.f64 1 (pow.f64 x 6))))))>
#<alt (log.f64 (sqrt.f64 -1))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 3/32 (.f64 5/96 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))))>
#<alt (sqrt.f64 -1)>
#<alt (+.f64 x (sqrt.f64 -1))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 1/2 (/.f64 x (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))>
#<alt (*.f64 2 x)>
#<alt (.f64 x (-.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (/.f64 1/2 x)>
#<alt (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))>

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (log (+ x (sqrt (+ (* x x) -1)))) 1/3)
1.0ms	x	@	0	(* (log (+ x (sqrt (+ (* x x) -1)))) 1/3)
0.0ms	x	@	-inf	(* (log (+ x (sqrt (+ (* x x) -1)))) 1/3)
0.0ms	x	@	0	(* 3 (* (log (+ x (sqrt (+ (* x x) -1)))) 1/3))
0.0ms	x	@	-inf	(+ x (sqrt (+ (* x x) -1)))

rewrite111.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`prod-diff`
1216×	`unpow-prod-down`
676×	`log-prod`
645×	`log1p-expm1-u`
645×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	157	96
2	2035	96

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

Inputs
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3)
(.f64 3 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

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

simplify203.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1340×	`fma-neg`
672×	`*-commutative`
632×	`associate-/r*`
606×	`distribute-lft-in`
586×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	577	12236
1	1193	11843
2	3006	10858
3	7938	10858

Stop Event

1×	node limit

Counts

208 → 330

Calls

Call 1

Inputs
(*.f64 1/3 (log.f64 (sqrt.f64 -1)))
(+.f64 (.f64 1/3 (log.f64 (sqrt.f64 -1))) (.f64 1/3 (/.f64 x (sqrt.f64 -1))))
(+.f64 (.f64 1/3 (log.f64 (sqrt.f64 -1))) (.f64 x (+.f64 (.f64 -1/18 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/3 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (.f64 1/3 (log.f64 (sqrt.f64 -1))) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/18 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/3 (/.f64 1 (sqrt.f64 -1))))))
(.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 1/12 (.f64 1/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/32 (.f64 5/288 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 2))))
(*.f64 1/3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 1/3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (.f64 1/12 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (.f64 1/12 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 x 2))) (*.f64 5/288 (/.f64 1 (pow.f64 x 6))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 3/32 (.f64 5/96 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))
(*.f64 2 x)
(.f64 x (-.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/2 x)
(/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))
(+.f64 0 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(-.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (log.f64 (cbrt.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 2))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)))
(log.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (+.f64 1 (-.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (pow.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/3) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (pow.f64 (.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3) (pow.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (exp.f64 3) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (pow.f64 (exp.f64 3) 1))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 1/3) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (exp.f64 3) 1) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 1) 1/3) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(pow.f64 (pow.f64 (exp.f64 1) 3) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 3)) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 3) 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 3) (*.f64 1/3 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 3) (*.f64 1/3 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 3)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)

Outputs
(*.f64 1/3 (log.f64 (sqrt.f64 -1)))
(+.f64 (.f64 1/3 (log.f64 (sqrt.f64 -1))) (.f64 1/3 (/.f64 x (sqrt.f64 -1))))
(*.f64 1/3 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (.f64 1/3 (log.f64 (sqrt.f64 -1))) (.f64 x (+.f64 (.f64 -1/18 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/3 (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 1/3 (log.f64 (sqrt.f64 -1)) (*.f64 x (fma.f64 -1/18 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 1/3 (sqrt.f64 -1)))))
(fma.f64 1/3 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 1/18 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1/3 (sqrt.f64 -1)))))
(fma.f64 x (+.f64 (.f64 (pow.f64 x 2) (/.f64 1/18 (sqrt.f64 -1))) (/.f64 1/3 (sqrt.f64 -1))) (.f64 1/3 (log.f64 (sqrt.f64 -1))))
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(*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))
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(log.f64 (sqrt.f64 -1))
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(sqrt.f64 -1)
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(fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 -1)) 1/2 1) (sqrt.f64 -1))
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(*.f64 2 x)
(*.f64 x 2)
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(*.f64 x (-.f64 2 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 2 (/.f64 -1/2 (pow.f64 x 2))))
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(*.f64 x (+.f64 2 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
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(*.f64 x (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 -1/8 (pow.f64 x 2))) (pow.f64 x 2))))
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(/.f64 1/2 x)
(/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) x)
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(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
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(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
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(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (*.f64 3 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (*.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (E.f64) (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (E.f64) (*.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 3)) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 3) 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (exp.f64 3)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 1/3 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 1/3 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 3) (*.f64 1/3 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 3) (*.f64 1/3 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (exp.f64 3)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)

eval172.0ms (2.8%)

Compiler: Compiled 7450 to 5887 computations (21% saved)

prune50.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	335	6	341

Accuracy

100.0%

Counts

341 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.3%	(.f64 3 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
▶	98.1%	(.f64 3 (.f64 (log.f64 (*.f64 x 2)) 1/3))
✓	48.3%	(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	48.5%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
✓	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 61 to 46 computations (24.6% saved)

localize65.0ms (1.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f64 3 (.f64 (log.f64 (*.f64 x 2)) 1/3))
✓	99.4%	(.f64 (log.f64 (.f64 x 2)) 1/3)

Compiler

Compiled 27 to 22 computations (18.5% saved)

Precisions

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

Operation ival-mult, time spent: 13.0ms, 47.0% of total-time

Operation ival-log, time spent: 12.0ms, 43.0% of total-time

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

series57.0ms (0.9%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (.f64 (log.f64 (.f64 x 2)) 1/3)>
#<alt (.f64 3 (.f64 (log.f64 (*.f64 x 2)) 1/3))>

Outputs
#<alt (*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))>
#<alt (*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))>
#<alt (*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))>
#<alt (*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))>
#<alt (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (.f64 1/3 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (.f64 1/3 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (.f64 1/3 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (.f64 1/3 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(* (log (* x 2)) 1/3)
16.0ms	x	@	-inf	(* (log (* x 2)) 1/3)
12.0ms	x	@	inf	(* (log (* x 2)) 1/3)
0.0ms	x	@	inf	(* 3 (* (log (* x 2)) 1/3))
0.0ms	x	@	-inf	(* 3 (* (log (* x 2)) 1/3))

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`unpow-prod-down`
484×	`log-prod`
480×	`cbrt-prod`
380×	`log1p-expm1-u`
380×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	108	32
2	1289	32

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(.f64 (log.f64 (.f64 x 2)) 1/3)
(.f64 3 (.f64 (log.f64 (*.f64 x 2)) 1/3))

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

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1526×	`fma-define`
1480×	`prod-exp`
1432×	`distribute-lft-in`
1256×	`fma-neg`
1160×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2186
1	342	2140
2	667	2136
3	2070	2136
4	7196	2136

Stop Event

1×	node limit

Counts

91 → 96

Calls

Call 1

Inputs
(*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 1/3 (+.f64 (log.f64 2) (log.f64 x)))
(.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(.f64 1/3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(.f64 1/3 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(.f64 1/3 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(.f64 1/3 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(.f64 1/3 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 0 (log.f64 (cbrt.f64 (*.f64 x 2))))
(+.f64 (log.f64 (cbrt.f64 x)) (*.f64 1/3 (log.f64 2)))
(+.f64 (log.f64 (cbrt.f64 x)) (*.f64 (log.f64 2) 1/3))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (cbrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 2))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x 2)))))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 (.f64 x 2)))) (log.f64 (cbrt.f64 (sqrt.f64 (.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (.f64 x 2)))) (log.f64 (sqrt.f64 (cbrt.f64 (.f64 x 2)))))
(-.f64 (+.f64 1 (log.f64 (cbrt.f64 (*.f64 x 2)))) 1)
(pow.f64 (log.f64 (cbrt.f64 (*.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 x 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 x 2))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 x 2)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (cbrt.f64 (*.f64 x 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (cbrt.f64 (.f64 x 2))))) 2)) (cbrt.f64 (log.f64 (log.f64 (cbrt.f64 (.f64 x 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (cbrt.f64 (.f64 x 2)))))) (sqrt.f64 (log.f64 (log.f64 (cbrt.f64 (.f64 x 2))))))
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 x 2))) 2))
(log.f64 (cbrt.f64 (*.f64 x 2)))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (*.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 x 2)))))
(log1p.f64 (-.f64 (cbrt.f64 (*.f64 x 2)) 1))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (*.f64 x 2)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x 2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (cbrt.f64 (*.f64 x 2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x 2))))) 2))
(fma.f64 1/3 (log.f64 x) (*.f64 1/3 (log.f64 2)))
(fma.f64 (log.f64 x) 1/3 (*.f64 (log.f64 2) 1/3))
(+.f64 (log.f64 (*.f64 x 2)) 0)
(+.f64 (log.f64 (cbrt.f64 (.f64 x 2))) (.f64 2 (log.f64 (cbrt.f64 (*.f64 x 2)))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) (*.f64 (log.f64 2) 1))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 0 (log.f64 (*.f64 x 2)))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (.f64 (cbrt.f64 x) 2)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) 2)))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 x 2)))) (log.f64 (cbrt.f64 (*.f64 x 2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 x 2))) (log.f64 (sqrt.f64 (.f64 x 2))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (+.f64 1 (log.f64 (*.f64 x 2))) 1)
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (*.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (*.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x 2))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (*.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (log.f64 (.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (.f64 x 2))))) (sqrt.f64 (log.f64 (log.f64 (.f64 x 2)))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x 2)) 2))
(log.f64 (*.f64 x 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x 2))))
(log1p.f64 (fma.f64 x 2 -1))
(exp.f64 (log.f64 (log.f64 (*.f64 x 2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (.f64 x 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (*.f64 x 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (.f64 x 2)))) 2))
(fma.f64 (log.f64 x) 1 (*.f64 (log.f64 2) 1))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))

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

eval27.0ms (0.4%)

Compiler: Compiled 1024 to 833 computations (18.7% saved)

prune18.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	96	6	102

Accuracy

100.0%

Counts

102 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.3%	(.f64 3 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
✓	98.1%	(.f64 3 (.f64 (log.f64 (*.f64 x 2)) 1/3))
✓	48.3%	(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	48.5%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
✓	48.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 128 to 95 computations (25.8% saved)

regimes14.0ms (0.2%)

Accuracy

Total -33.1b remaining (-3464.8%)

Threshold costs -33.1b (-3464.8%)

Counts

7 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(.f64 3 (.f64 (log.f64 (*.f64 x 2)) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 3 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))

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

Calls

3 calls:

5.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
5.0ms	x
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
98.5%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

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

Compiler

Compiled 5 to 3 computations (40% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess29.0ms (0.5%)

Compiler: Compiled 30 to 20 computations (33.3% saved)

analyze96.0ms (1.6%)

sample2.6s (42.2%)

preprocess476.0ms (7.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize129.0ms (2.1%)

series10.0ms (0.2%)

rewrite244.0ms (3.9%)

simplify186.0ms (3%)

eval217.0ms (3.5%)

prune77.0ms (1.2%)

localize325.0ms (5.2%)

series38.0ms (0.6%)

rewrite155.0ms (2.5%)

simplify261.0ms (4.2%)

eval270.0ms (4.3%)

prune66.0ms (1.1%)

localize119.0ms (1.9%)

series10.0ms (0.2%)

rewrite111.0ms (1.8%)

simplify203.0ms (3.3%)

eval172.0ms (2.8%)

prune50.0ms (0.8%)

localize65.0ms (1.1%)

series57.0ms (0.9%)

rewrite71.0ms (1.1%)

simplify96.0ms (1.5%)

eval27.0ms (0.4%)

prune18.0ms (0.3%)

regimes14.0ms (0.2%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess29.0ms (0.5%)

Profiling