Metrics for Rust f64::atanh

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-atanh, time spent: 1.0ms, 167.0% of total-time

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

sample732.0ms (18.9%)

Results

705.0ms	8255×	256	valid
0.0ms	5×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

Operation ival-atanh, time spent: 125.0ms, 94.0% of total-time

Operation const, time spent: 9.0ms, 7.0% of total-time

Bogosity

preprocess924.0ms (23.8%)

Algorithm

1×	egg-herbie

Rules

252×	`fma-define`
48×	`sub-neg`
44×	`fma-neg`
26×	`*-commutative`
24×	`distribute-rgt-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (*.f64 2 x) (-.f64 1 x))`
-	-	`1`
-	-	`(-.f64 1 x)`
-	-	`2`
-	-	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
-	-	`1/2`
-	-	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
-	-	`(*.f64 2 x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))

Compiler

Compiled 96 to 74 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 655.0ms

Operation composed, time spent: 172.0ms, 26.0% of total-time

Operation ival-div, time spent: 171.0ms, 26.0% of total-time

Operation ival-log, time spent: 148.0ms, 23.0% of total-time

Operation ival-sub, time spent: 77.0ms, 12.0% of total-time

Operation ival-mult, time spent: 62.0ms, 9.0% of total-time

Operation ival-add, time spent: 14.0ms, 2.0% of total-time

Operation const, time spent: 10.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	100.0%	(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize539.0ms (13.9%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
✓	100.0%	(/.f64 (*.f64 2 x) (-.f64 1 x))
✓	100.0%	(*.f64 x (/.f64 2 (-.f64 1 x)))
✓	100.0%	(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
✓	100.0%	(/.f64 2 (-.f64 1 x))

Compiler

Compiled 74 to 56 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 468.0ms

Operation composed, time spent: 176.0ms, 38.0% of total-time

Operation ival-log, time spent: 151.0ms, 32.0% of total-time

Operation ival-div, time spent: 42.0ms, 9.0% of total-time

Operation ival-mult, time spent: 40.0ms, 9.0% of total-time

Operation ival-sub, time spent: 34.0ms, 7.0% of total-time

Operation ival-add, time spent: 15.0ms, 3.0% of total-time

Operation const, time spent: 10.0ms, 2.0% of total-time

series62.0ms (1.6%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/.f64 2 (-.f64 1 x))>
#<alt (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))>
#<alt (*.f64 x (/.f64 2 (-.f64 1 x)))>
#<alt (/.f64 (*.f64 2 x) (-.f64 1 x))>
#<alt (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))>

Outputs
#<alt 2>
#<alt (+.f64 2 (*.f64 2 x))>
#<alt (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x))))>
#<alt (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))>
#<alt (/.f64 -2 x)>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x))>
#<alt (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2) x)>
#<alt (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x)))) x)>
#<alt (/.f64 -2 x)>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x))>
#<alt (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2) x))) x))>
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))>
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 2 x)))>
#<alt (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x)))))>
#<alt (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x)))))))>
#<alt -2>
#<alt (.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))>
#<alt -2>
#<alt (.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)>
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 2 x)))>
#<alt (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x)))))>
#<alt (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x)))))))>
#<alt -2>
#<alt (.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))>
#<alt -2>
#<alt (.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)>
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))>

Calls

15 calls:

Time	Variable		Point	Expression
55.0ms	x	@	-inf	(* x (/ 2 (- 1 x)))
1.0ms	x	@	0	(log (+ 1 (* x (/ 2 (- 1 x)))))
1.0ms	x	@	-inf	(log (+ 1 (* x (/ 2 (- 1 x)))))
1.0ms	x	@	inf	(log (+ 1 (* x (/ 2 (- 1 x)))))
0.0ms	x	@	-inf	(/ 2 (- 1 x))

rewrite287.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`prod-diff`
894×	`log-prod`
793×	`log1p-expm1-u`
793×	`expm1-log1p-u`
256×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	124
1	200	124
2	2168	124

Stop Event

1×	node limit

Counts

5 → 165

Calls

Call 1

Inputs
(/.f64 2 (-.f64 1 x))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

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

simplify104.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-/r*`
872×	`distribute-lft-in`
752×	`distribute-rgt-in`
544×	`distribute-lft-neg-out`
422×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	6903
1	759	6305
2	2836	6279

Stop Event

1×	node limit

Counts

225 → 226

Calls

Call 1

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

Outputs
2
(+.f64 2 (*.f64 2 x))
(fma.f64 2 x 2)
(+.f64 2 (.f64 x (+.f64 2 (.f64 2 x))))
(fma.f64 x (fma.f64 2 x 2) 2)
(+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))
(fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2)
(*.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 2 x 2))
(/.f64 -2 x)
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x))
(/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) x)
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2) x)
(/.f64 (fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2) x)
(/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x)
(/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x)))) x)
(/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x))) x)
(/.f64 (-.f64 (/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x) 2) x)
(/.f64 (*.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1)) x)
(/.f64 -2 x)
(.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x))
(/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) x)
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x))
(neg.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x))
(/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 2 x) (+.f64 2 (/.f64 2 (pow.f64 x 2)))) (neg.f64 x))
(.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2) x))) x))
(neg.f64 (/.f64 (+.f64 2 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2) x))) x))
(/.f64 (-.f64 2 (/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x)) (neg.f64 x))
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) 2/3)))
(*.f64 x (fma.f64 (pow.f64 x 2) 2/3 2))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) 2/5)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/5 2/3) 2))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))
(.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 (pow.f64 x 2) 2/7)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/7 2/5) 2/3) 2))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (log.f64 -1))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x)))
(-.f64 (log.f64 -1) (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2)) -2) x))
(-.f64 (log.f64 -1) (/.f64 (-.f64 -2 (/.f64 (+.f64 2/3 (/.f64 2/5 (pow.f64 x 2))) (pow.f64 x 2))) x))
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2 x)))
(*.f64 x (fma.f64 2 x 2))
(.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (fma.f64 x (fma.f64 2 x 2) 2))
(.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2))
(.f64 x (.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 2 x 2)))
-2
(.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x)))
(-.f64 (/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x) 2)
(*.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1))
-2
(.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -2)
(-.f64 -2 (/.f64 (+.f64 (/.f64 2 x) (+.f64 2 (/.f64 2 (pow.f64 x 2)))) x))
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2 x)))
(*.f64 x (fma.f64 2 x 2))
(.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x)))))
(*.f64 x (fma.f64 x (fma.f64 2 x 2) 2))
(.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2))
(.f64 x (.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 2 x 2)))
-2
(.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 x 2)) (+.f64 2 (/.f64 2 x)))
(-.f64 (/.f64 (+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x)) x) 2)
(*.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) -1))
-2
(.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2)
(+.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -2)
(-.f64 -2 (/.f64 (+.f64 (/.f64 2 x) (+.f64 2 (/.f64 2 (pow.f64 x 2)))) x))
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
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eval123.0ms (3.2%)

Compiler: Compiled 3597 to 2974 computations (17.3% saved)

prune30.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	224	2	226
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	225	3	228

Accuracy

100.0%

Counts

228 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 1/2 (.f64 2 x))
▶	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
✓	100.0%	(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize666.0ms (17.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
✓	99.8%	(/.f64 2 (+.f64 (/.f64 1 x) -1))

Compiler

Compiled 51 to 42 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

Operation composed, time spent: 94.0ms, 36.0% of total-time

Operation ival-log, time spent: 78.0ms, 30.0% of total-time

Operation ival-div, time spent: 44.0ms, 17.0% of total-time

Operation ival-add, time spent: 23.0ms, 9.0% of total-time

Operation ival-mult, time spent: 17.0ms, 6.0% of total-time

Operation const, time spent: 8.0ms, 3.0% of total-time

series3.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/.f64 2 (+.f64 (/.f64 1 x) -1))>
#<alt (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))>

Outputs
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 2 x)))>
#<alt (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x)))))>
#<alt (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x)))))))>
#<alt -2>
#<alt (.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 2 (*.f64 2 (/.f64 1 x))))>
#<alt -2>
#<alt (.f64 -1 (+.f64 2 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2)>
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 2/5 (pow.f64 x 2))))))>
#<alt (.f64 x (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 2/7 (pow.f64 x 2))))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))>
#<alt (log.f64 -1)>
#<alt (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/3 (*.f64 2/5 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 2) x)))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log (+ 1 (/ 2 (+ (/ 1 x) -1))))
0.0ms	x	@	-inf	(log (+ 1 (/ 2 (+ (/ 1 x) -1))))
0.0ms	x	@	inf	(log (+ 1 (/ 2 (+ (/ 1 x) -1))))
0.0ms	x	@	0	(/ 2 (+ (/ 1 x) -1))
0.0ms	x	@	-inf	(/ 2 (+ (/ 1 x) -1))

rewrite88.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`unpow-prod-down`
599×	`log1p-expm1-u`
599×	`expm1-log1p-u`
578×	`log-prod`
533×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	135	48
2	1687	48

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))

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

simplify101.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1316×	`fma-define`
994×	`fma-neg`
642×	`cancel-sign-sub-inv`
616×	`unsub-neg`
564×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	292	3634
1	627	3502
2	1742	3428
3	5240	3422

Stop Event

1×	node limit

Counts

108 → 179

Calls

Call 1

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

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

eval97.0ms (2.5%)

Compiler: Compiled 3218 to 2883 computations (10.4% saved)

prune25.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	179	3	182

Accuracy

100.0%

Counts

182 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(.f64 1/2 (.f64 2 x))
✓	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
✓	100.0%	(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))

Compiler

Compiled 64 to 54 computations (15.6% saved)

regimes19.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Outputs
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))

Calls

4 calls:

5.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms	x
4.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
4.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))

Outputs
(.f64 1/2 (.f64 2 x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	27	51
2	31	51
3	33	51
4	34	51

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 1/2 (.f64 2 x))

Outputs
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (.f64 x 2))

Compiler

Compiled 17 to 14 computations (17.6% saved)

soundness28.0ms (0.7%)

Rules

252×	`fma-define`
48×	`sub-neg`
44×	`fma-neg`
26×	`*-commutative`
24×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Stop Event

1×

saturated

Compiler

Compiled 31 to 25 computations (19.4% saved)

end0.0ms (0%)

preprocess36.0ms (0.9%)

Compiler: Compiled 54 to 44 computations (18.5% saved)

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

analyze2.0ms (0.1%)

sample732.0ms (18.9%)

preprocess924.0ms (23.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize539.0ms (13.9%)

series62.0ms (1.6%)

rewrite287.0ms (7.4%)

simplify104.0ms (2.7%)

eval123.0ms (3.2%)

prune30.0ms (0.8%)

localize666.0ms (17.2%)

series3.0ms (0.1%)

rewrite88.0ms (2.3%)

simplify101.0ms (2.6%)

eval97.0ms (2.5%)

prune25.0ms (0.7%)

regimes19.0ms (0.5%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness28.0ms (0.7%)

end0.0ms (0%)

preprocess36.0ms (0.9%)

Profiling

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71

Iter	Nodes	Cost
0	18	71
1	35	71
2	45	71
3	58	71
4	73	71
5	92	71
6	149	71
7	256	71
8	314	71
9	349	71
10	372	71
11	383	71
12	439	71