Metrics for Hyperbolic arc-cosine

analyze100.0ms (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: 47.0ms

Operation ival-log, time spent: 13.0ms, 28.0% of total-time

Operation ival-mult, time spent: 10.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 9.0ms, 19.0% of total-time

Operation ival-sub, time spent: 8.0ms, 17.0% of total-time

Operation ival-add, time spent: 6.0ms, 13.0% of total-time

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

sample2.8s (45.6%)

Results

929.0ms	8362×	256	invalid
1.7s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

Operation ival-add, time spent: 422.0ms, 33.0% of total-time

Operation ival-sub, time spent: 279.0ms, 22.0% of total-time

Operation ival-log, time spent: 220.0ms, 17.0% of total-time

Operation ival-mult, time spent: 170.0ms, 13.0% of total-time

Operation ival-sqrt, time spent: 166.0ms, 13.0% of total-time

Operation const, time spent: 30.0ms, 2.0% of total-time

Bogosity

preprocess430.0ms (6.9%)

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
127	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
1	-	-	`(log.f64 (+.f64 x (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	-	-	`(*.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	127	0
↳	`(-.f64 (*.f64 x x) 1)`	overflow	127
↳	`(*.f64 x x)`	overflow	127
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`	oflow-rescue	1	0
↳	`(-.f64 (*.f64 x x) 1)`	overflow	127
↳	`(*.f64 x x)`	overflow	127
↳	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`	overflow	1

Confusion

	Predicted +	Predicted -
+	127	0
-	0	129

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	0	0	129

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: 52.0ms

Operation ival-sub, time spent: 14.0ms, 27.0% of total-time

Operation ival-log, time spent: 12.0ms, 23.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 23.0% of total-time

Operation ival-add, time spent: 6.0ms, 12.0% of total-time

Operation ival-mult, time spent: 5.0ms, 10.0% 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
▶	52.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize59.0ms (1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	99.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	53.8%	(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: 26.0ms

Operation ival-sqrt, time spent: 8.0ms, 30.0% of total-time

Operation ival-sub, time spent: 6.0ms, 23.0% of total-time

Operation ival-log, time spent: 5.0ms, 19.0% of total-time

Operation ival-add, time spent: 4.0ms, 15.0% of total-time

Operation ival-mult, time spent: 2.0ms, 8.0% of total-time

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

series7.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 x x) 1))>
#<alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))>
#<alt (+.f64 x (sqrt.f64 (-.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 (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
1.0ms	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))

rewrite233.0ms (3.8%)

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	79
1	155	79
2	2076	79

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.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))))
(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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
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(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 (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)))))))
(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 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(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))))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (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 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2) x)
(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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))

simplify151.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

952×	`distribute-lft-in`
896×	`distribute-rgt-in`
526×	`times-frac`
526×	`unswap-sqr`
436×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	629	12337
1	1271	12041
2	3463	10802

Stop Event

1×	node limit

Counts

242 → 367

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

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

eval165.0ms (2.7%)

Compiler: Compiled 7007 to 5244 computations (25.2% saved)

prune52.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	365	2	367
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	365	3	368

Accuracy

100.0%

Counts

368 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(+.f64 (log.f64 2) (log.f64 x))
✓	52.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.6%	(log.f64 (+.f64 x x))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize56.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.7%	(+.f64 (log.f64 2) (log.f64 x))
✓	99.6%	(log.f64 (+.f64 x x))

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

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

Operation ival-log, time spent: 17.0ms, 81.0% of total-time

Operation ival-add, time spent: 3.0ms, 14.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

series115.0ms (1.9%)

Counts

2 → 20

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 x x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(+ (log 2) (log x))
28.0ms	x	@	0	(log (+ x x))
22.0ms	x	@	-inf	(log (+ x x))
19.0ms	x	@	0	(+ (log 2) (log x))
10.0ms	x	@	inf	(log (+ x x))

rewrite92.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`prod-diff`
916×	`unpow-prod-down`
547×	`log1p-expm1-u`
547×	`expm1-log1p-u`
466×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	138	22
2	1736	22

Stop Event

1×	node limit

Counts

2 → 180

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative`
42×	`+-commutative`
40×	`fma-undefine`
38×	`sub-neg`
24×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	5607
1	569	5607

Stop Event

1×

unsound

Counts

200 → 141

Calls

Call 1

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

eval349.0ms (5.6%)

Compiler: Compiled 1536 to 1288 computations (16.1% saved)

prune36.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	139	5	144

Accuracy

100.0%

Counts

144 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
✓	98.7%	(+.f64 (log.f64 2) (log.f64 x))
✓	52.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.6%	(log.f64 (+.f64 x x))
▶	3.1%	0

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize72.0ms (1.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (*.f64 2 (sqrt.f64 x)))
✓	100.0%	(log.f64 (sqrt.f64 x))
✓	99.8%	(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-log, time spent: 15.0ms, 57.0% of total-time

Operation ival-mult, time spent: 6.0ms, 23.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 8.0% of total-time

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

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

series110.0ms (1.8%)

Counts

3 → 28

Calls

Call 1

Inputs
#<alt (+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))>
#<alt (log.f64 (sqrt.f64 x))>
#<alt (log.f64 (*.f64 2 (sqrt.f64 x)))>

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

Calls

9 calls:

Time	Variable		Point	Expression
60.0ms	x	@	-inf	(+ (log (* 2 (sqrt x))) (log (sqrt x)))
31.0ms	x	@	0	(+ (log (* 2 (sqrt x))) (log (sqrt x)))
16.0ms	x	@	inf	(+ (log (* 2 (sqrt x))) (log (sqrt x)))
0.0ms	x	@	-inf	(log (sqrt x))
0.0ms	x	@	-inf	(log (* 2 (sqrt x)))

rewrite103.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`unpow-prod-down`
1066×	`prod-diff`
616×	`log-prod`
611×	`log1p-expm1-u`
611×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	133	44
2	1677	44

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

Inputs
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 x))
(log.f64 (*.f64 2 (sqrt.f64 x)))

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

simplify114.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1324×	`times-frac`
712×	`unswap-sqr`
582×	`cancel-sign-sub-inv`
508×	`associate-/l*`
486×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	7512
1	824	6722
2	2230	6601

Stop Event

1×	node limit

Counts

208 → 254

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 2 (sqrt.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 (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 (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 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1 x))) (+.f64 (log.f64 (.f64 2 (sqrt.f64 (/.f64 1 x)))) (.f64 -2 (log.f64 (/.f64 1 x)))))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 x)))) 2))
(log.f64 (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) 2))
(log.f64 (sqrt.f64 x))
(pow.f64 (log.f64 (sqrt.f64 x)) 1)
(log.f64 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 3)
(log.f64 (sqrt.f64 x))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3) 1/3)
(log.f64 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) 2)
(log.f64 (sqrt.f64 x))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2))
(log.f64 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3))
(log.f64 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 x))))
(log.f64 (sqrt.f64 x))
(log1p.f64 (-.f64 (sqrt.f64 x) 1))
(log.f64 (sqrt.f64 x))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 x))))
(log.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 1))
(log.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (sqrt.f64 x)))) 3))
(log.f64 (sqrt.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (sqrt.f64 x)))) 1/3))
(log.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) 2))
(log.f64 (sqrt.f64 x))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 0)
(log.f64 (*.f64 (sqrt.f64 x) 2))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(+.f64 0 (log.f64 (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(+.f64 (.f64 1/4 (log.f64 x)) (log.f64 (.f64 (pow.f64 x 1/4) 2)))
(fma.f64 1/4 (log.f64 x) (log.f64 (*.f64 2 (pow.f64 x 1/4))))
(fma.f64 (log.f64 x) 1/4 (log.f64 (*.f64 2 (pow.f64 x 1/4))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (*.f64 (pow.f64 x 1/6) 2)))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (*.f64 2 (pow.f64 x 1/6))))
(+.f64 (log.f64 (cbrt.f64 (.f64 x 4))) (log.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (.f64 x 4))) (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) 2))))
(+.f64 (log.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x)))) (log.f64 (cbrt.f64 (.f64 x 4))))
(+.f64 (log.f64 (cbrt.f64 (.f64 x 4))) (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) 2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x)))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 x) 2))))
(+.f64 (*.f64 (log.f64 2) 1) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(+.f64 (log.f64 (*.f64 2 (cbrt.f64 x))) (log.f64 (pow.f64 x 1/6)))
(+.f64 (log.f64 (pow.f64 x 1/6)) (log.f64 (*.f64 2 (cbrt.f64 x))))
(+.f64 (log.f64 (.f64 2 (pow.f64 x 1/4))) (.f64 1/4 (log.f64 x)))
(fma.f64 1/4 (log.f64 x) (log.f64 (*.f64 2 (pow.f64 x 1/4))))
(fma.f64 (log.f64 x) 1/4 (log.f64 (*.f64 2 (pow.f64 x 1/4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 1)
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 2 (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x)))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 x) 2))))
(.f64 (log.f64 (.f64 2 (sqrt.f64 x))) 1)
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (log.f64 (exp.f64 1)))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 1 (log.f64 (.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 2))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) (pow.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2) 1/3))
(.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 (sqrt.f64 x) 2)) 2)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) 2) (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 x) 2))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 x) 2)))) 2))
(.f64 (sqrt.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 3 (log.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x)))))
(.f64 3 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) 2))))
(.f64 1/3 (log.f64 (.f64 (pow.f64 x 3/2) 8)))
(.f64 (pow.f64 1 1/3) (log.f64 (.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (.f64 2 (sqrt.f64 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 3))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 3))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 3))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 3))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (pow.f64 (pow.f64 (log.f64 (.f64 2 (sqrt.f64 x))) 2) 1/3) (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))))
(.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 (sqrt.f64 x) 2)) 2)))
(.f64 (pow.f64 (pow.f64 (log.f64 (.f64 2 (sqrt.f64 x))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 x) 2)) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (*.f64 (sqrt.f64 x) 2)) 3/2)))
(.f64 (pow.f64 (.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (sqrt.f64 (log.f64 (.f64 2 (sqrt.f64 x))))) 1/3) (pow.f64 (.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 1/3))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (.f64 2 (sqrt.f64 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 x) 2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (*.f64 (sqrt.f64 x) 2)) 3))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (.f64 2 (sqrt.f64 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 x) 2)))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 x) 2)) 2) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 x) 2))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 x) 2)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 x) 2))) 7) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 x) 2))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (.f64 2 (sqrt.f64 x))) 2) (sqrt.f64 (log.f64 (.f64 2 (sqrt.f64 x))))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 x) 2)))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 x) 2)) 2) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 x) 2))))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 x) 2))) 5)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 2))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (.f64 2 (sqrt.f64 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 2))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 2) (log.f64 2) (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (*.f64 (log.f64 2) (log.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (*.f64 (log.f64 (sqrt.f64 x)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 2 (sqrt.f64 x))))
(pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 1)
(log.f64 (*.f64 (sqrt.f64 x) 2))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 3)
(log.f64 (*.f64 (sqrt.f64 x) 2))
(pow.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3) 1/3)
(log.f64 (*.f64 (sqrt.f64 x) 2))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 2)
(log.f64 (*.f64 (sqrt.f64 x) 2))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(log1p.f64 (fma.f64 2 (sqrt.f64 x) -1))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(exp.f64 (log.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 2 (sqrt.f64 x)))) 1))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (.f64 2 (sqrt.f64 x))))) 3))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (*.f64 2 (sqrt.f64 x))))) 1/3))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (.f64 2 (sqrt.f64 x))))) 2))
(log.f64 (*.f64 (sqrt.f64 x) 2))
(fma.f64 (log.f64 (sqrt.f64 x)) 1 (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(fma.f64 (log.f64 2) 1 (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(fma.f64 1/2 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 (sqrt.f64 x)) (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(fma.f64 1 (log.f64 2) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2))

eval97.0ms (1.6%)

Compiler: Compiled 4240 to 2723 computations (35.8% saved)

prune38.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	253	1	254
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	254	5	259

Accuracy

100.0%

Counts

259 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 (log.f64 x) 1/2))
✓	98.7%	(+.f64 (log.f64 2) (log.f64 x))
✓	52.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.6%	(log.f64 (+.f64 x x))
✓	3.1%	0

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize95.0ms (1.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	100.0%	(log.f64 (*.f64 2 (sqrt.f64 x)))
✓	99.8%	(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 (log.f64 x) 1/2))

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

Operation ival-add, time spent: 28.0ms, 49.0% of total-time

Operation ival-log, time spent: 13.0ms, 23.0% of total-time

Operation ival-mult, time spent: 13.0ms, 23.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 5.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

series3.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 (log.f64 x) 1/2))>

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

Calls

3 calls:

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

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`prod-diff`
724×	`log-prod`
687×	`log1p-expm1-u`
687×	`expm1-log1p-u`
508×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	151	18
2	1945	14

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 (log.f64 x) 1/2))

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

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1086×	`associate-+r+`
756×	`cancel-sign-sub-inv`
660×	`fma-neg`
658×	`distribute-lft-neg-in`
646×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	3413
1	398	2935
2	922	2803
3	3278	2611

Stop Event

1×	node limit

Counts

76 → 82

Calls

Call 1

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

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

eval66.0ms (1.1%)

Compiler: Compiled 2810 to 1936 computations (31.1% saved)

prune24.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	168	5	173

Accuracy

100.0%

Counts

173 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 (log.f64 x) 1/2))
✓	98.7%	(+.f64 (log.f64 2) (log.f64 x))
✓	52.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.6%	(log.f64 (+.f64 x x))
✓	3.1%	0

Compiler

Compiled 73 to 52 computations (28.8% saved)

regimes16.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 (log.f64 x) 1/2))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))

Outputs
(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 (log.f64 x) 1/2))

Calls

3 calls:

7.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
98.8%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Outputs
(+.f64 (log.f64 2) (log.f64 x))

Calls

3 calls:

6.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
4.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
98.7%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	23	73

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 (log.f64 x) 1/2))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
0

Outputs
(+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (.f64 (log.f64 x) 1/2))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(log.f64 (+.f64 x x))
0

Compiler

Compiled 24 to 19 computations (20.8% saved)

soundness482.0ms (7.8%)

Rules

1290×	`prod-diff`
1114×	`unpow-prod-down`
1066×	`prod-diff`
952×	`distribute-lft-in`
916×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	274	5607
1	569	5607
0	12	61
1	133	44
2	1677	44
0	629	12337
1	1271	12041
2	3463	10802
0	12	28
1	138	22
2	1736	22

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	unsound

Compiler

Compiled 313 to 142 computations (54.6% saved)

end0.0ms (0%)

preprocess45.0ms (0.7%)

Compiler: Compiled 62 to 44 computations (29% saved)

analyze100.0ms (1.6%)

sample2.8s (45.6%)

preprocess430.0ms (6.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize59.0ms (1%)

series7.0ms (0.1%)

rewrite233.0ms (3.8%)

simplify151.0ms (2.4%)

eval165.0ms (2.7%)

prune52.0ms (0.8%)

localize56.0ms (0.9%)

series115.0ms (1.9%)

rewrite92.0ms (1.5%)

simplify51.0ms (0.8%)

eval349.0ms (5.6%)

prune36.0ms (0.6%)

localize72.0ms (1.2%)

series110.0ms (1.8%)

rewrite103.0ms (1.7%)

simplify114.0ms (1.8%)

eval97.0ms (1.6%)

prune38.0ms (0.6%)

localize95.0ms (1.5%)

series3.0ms (0%)

rewrite89.0ms (1.4%)

simplify91.0ms (1.5%)

eval66.0ms (1.1%)

prune24.0ms (0.4%)

regimes16.0ms (0.3%)

regimes14.0ms (0.2%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

simplify3.0ms (0.1%)

soundness482.0ms (7.8%)

end0.0ms (0%)

preprocess45.0ms (0.7%)

Profiling