Metrics for Kahan's exp quotient

analyze2.0ms (0%)

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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

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

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

sample1.5s (42.5%)

Results

334.0ms	3002×	256	valid
590.0ms	2105×	1024	valid
181.0ms	2013×	256	infinite
244.0ms	1014×	512	valid
35.0ms	121×	2048	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 669.0ms

Operation ival-exp, time spent: 315.0ms, 47.0% of total-time

Operation ival-div, time spent: 184.0ms, 28.0% of total-time

Operation ival-sub, time spent: 148.0ms, 22.0% of total-time

Operation const, time spent: 22.0ms, 3.0% of total-time

Bogosity

preprocess218.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-define`
382×	`fma-neg`
222×	`times-frac`
194×	`div-sub`
128×	`distribute-rgt-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(-.f64 (exp.f64 x) 1)`
0	-	-	`1`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) 1) x)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) 1)`	cancellation	119	0

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	43	80
2	88	80
3	240	80
4	630	80
5	972	80
6	1342	80
7	1586	80
8	1657	80

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)))

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)))
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 (neg.f64 x)) x)

Compiler

Compiled 46 to 28 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

Operation ival-exp, time spent: 19.0ms, 47.0% of total-time

Operation ival-sub, time spent: 11.0ms, 27.0% of total-time

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

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

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

localize43.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

Operation composed, time spent: 16.0ms, 48.0% of total-time

Operation ival-exp, time spent: 10.0ms, 30.0% of total-time

Operation ival-div, time spent: 4.0ms, 12.0% of total-time

Operation ival-sub, time spent: 4.0ms, 12.0% of total-time

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

series2.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/.f64 (expm1.f64 x) x)>

Outputs
#<alt 1>
#<alt (+.f64 1 (*.f64 1/2 x))>
#<alt (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/6 x))))>
#<alt (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x))))))>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>

Calls

3 calls:

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

rewrite200.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`unpow-prod-down`
362×	`cbrt-prod`
360×	`log-prod`
332×	`log1p-expm1-u`
331×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	68	17
2	890	17

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)

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

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1022×	`distribute-lft-neg-out`
698×	`fma-define`
642×	`div-sub`
616×	`distribute-lft-in`
582×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	2388
1	430	2317
2	1161	2281
3	4844	2263

Stop Event

1×	node limit

Counts

85 → 112

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/6 x))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x))))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (sqrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/6 x))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x))))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (sqrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4)))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (/.f64 (expm1.f64 x) x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (fabs.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) -2) (expm1.f64 x)) (cbrt.f64 x))
(/.f64 (*.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 x))
(*.f64 (expm1.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) -2) (expm1.f64 x)) (cbrt.f64 x))
(/.f64 (*.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 x))
(*.f64 (expm1.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) (pow.f64 (/.f64 x (expm1.f64 x)) -2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2)) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) (pow.f64 (cbrt.f64 (expm1.f64 x)) -2))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))) -2)
(*.f64 (expm1.f64 x) (pow.f64 (sqrt.f64 x) -2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) (pow.f64 (/.f64 x (expm1.f64 x)) -2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(fabs.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(fabs.f64 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)

eval22.0ms (0.6%)

Compiler: Compiled 1223 to 525 computations (57.1% saved)

prune17.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	6	113

Accuracy

100.0%

Counts

113 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	63.7%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
▶	59.4%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
▶	48.1%	(+.f64 1 (*.f64 1/2 x))
▶	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	48.2%	1

Compiler

Compiled 83 to 65 computations (21.7% saved)

localize645.0ms (18.6%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1/6 (*.f64 x 1/24))
✓	99.9%	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
✓	99.7%	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
✓	99.6%	(*.f64 x 1/24)
✓	99.9%	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
✓	99.6%	(*.f64 x 1/6)
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))

Compiler

Compiled 108 to 79 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 519.0ms

Operation ival-mult, time spent: 436.0ms, 84.0% of total-time

Operation ival-add, time spent: 33.0ms, 6.0% of total-time

Operation composed, time spent: 17.0ms, 3.0% of total-time

Operation ival-exp, time spent: 12.0ms, 2.0% of total-time

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

Operation const, time spent: 9.0ms, 2.0% of total-time

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

series11.0ms (0.3%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 1 x) (expm1.f64 x))>
#<alt (*.f64 x 1/6)>
#<alt (.f64 x (+.f64 1/2 (.f64 x 1/6)))>
#<alt (*.f64 x 1/24)>
#<alt (.f64 x (+.f64 1/6 (.f64 x 1/24)))>
#<alt (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))>
#<alt (+.f64 1/6 (*.f64 x 1/24))>

Outputs
#<alt 1>
#<alt (+.f64 1 (*.f64 1/2 x))>
#<alt (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/6 x))))>
#<alt (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x))))))>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (/.f64 (-.f64 (exp.f64 x) 1) x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/6 x)>
#<alt (*.f64 1/2 x)>
#<alt (.f64 x (+.f64 1/2 (.f64 1/6 x)))>
#<alt (.f64 x (+.f64 1/2 (.f64 1/6 x)))>
#<alt (.f64 x (+.f64 1/2 (.f64 1/6 x)))>
#<alt (*.f64 1/6 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 1/6 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/24 x)>
#<alt (*.f64 1/6 x)>
#<alt (.f64 x (+.f64 1/6 (.f64 1/24 x)))>
#<alt (.f64 x (+.f64 1/6 (.f64 1/24 x)))>
#<alt (.f64 x (+.f64 1/6 (.f64 1/24 x)))>
#<alt (*.f64 1/24 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (*.f64 1/24 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (*.f64 1/2 x)>
#<alt (.f64 x (+.f64 1/2 (.f64 1/6 x)))>
#<alt (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x)))))>
#<alt (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x)))))>
#<alt (*.f64 1/24 (pow.f64 x 3))>
#<alt (.f64 (pow.f64 x 3) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 1/24 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (/.f64 1 x)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 1/24 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (/.f64 1 x)))))>
#<alt (*.f64 1/24 (pow.f64 x 3))>
#<alt (.f64 (pow.f64 x 3) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/6 (.f64 1/2 (/.f64 1 x))) x)) 1/24)))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/6 (.f64 1/2 (/.f64 1 x))) x)) 1/24)))>
#<alt 1/6>
#<alt (+.f64 1/6 (*.f64 1/24 x))>
#<alt (+.f64 1/6 (*.f64 1/24 x))>
#<alt (+.f64 1/6 (*.f64 1/24 x))>
#<alt (*.f64 1/24 x)>
#<alt (.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (*.f64 1/24 x)>
#<alt (.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ 1/2 (* x 1/6)))
1.0ms	x	@	inf	(* x (+ 1/2 (* x 1/6)))
1.0ms	x	@	0	(* x 1/6)
0.0ms	x	@	-inf	(* x (+ 1/6 (* x 1/24)))
0.0ms	x	@	inf	(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))

rewrite166.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`prod-diff`
967×	`log1p-expm1-u`
310×	`associate-r`
257×	`expm1-log1p-u`
188×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	143
1	308	123
2	4478	123

Stop Event

1×	node limit

Counts

7 → 164

Calls

Call 1

Inputs
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 x 1/6)
(.f64 x (+.f64 1/2 (.f64 x 1/6)))
(*.f64 x 1/24)
(.f64 x (+.f64 1/6 (.f64 x 1/24)))
(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
(+.f64 1/6 (*.f64 x 1/24))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 1/6 (pow.f64 x 2)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (.f64 1/216 (pow.f64 x 3)) 1/8)) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 1/12 x))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) (+.f64 1/2 (*.f64 -1/6 x)))
(/.f64 (.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) 1/8) x) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 1/12 x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) x) (+.f64 1/2 (*.f64 -1/6 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/6 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))) 1))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/24))) 1)
(pow.f64 (*.f64 x 1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/24)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/13824) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/576))
(log.f64 (pow.f64 (exp.f64 x) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/24))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/13824))
(expm1.f64 (log1p.f64 (*.f64 x 1/24)))
(log1p.f64 (expm1.f64 (*.f64 x 1/24)))
(exp.f64 (log.f64 (*.f64 x 1/24)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/24)) 1))
(+.f64 (.f64 x 1/6) (.f64 1/24 (pow.f64 x 2)))
(+.f64 (.f64 x 1/6) (.f64 (*.f64 1/24 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 x 1/6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/24 1/6)))) 1)
(/.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 (.f64 1/24 (pow.f64 x 2)) 3)) (+.f64 (.f64 (pow.f64 x 2) 1/36) (-.f64 (.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 2))) (.f64 (.f64 x 1/6) (*.f64 1/24 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 2)))) (-.f64 (.f64 x 1/6) (.f64 1/24 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216)) (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x))))
(/.f64 (.f64 x (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576))) (+.f64 1/6 (*.f64 -1/24 x)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) x) (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x))))
(/.f64 (.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) x) (+.f64 1/6 (*.f64 -1/24 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/24 1/6))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/24 1/6))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/24 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/24 1/6)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/24 1/6))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/24 1/6))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/24 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/24 1/6))) 1))
(fma.f64 1 (.f64 x 1/6) (.f64 1/24 (pow.f64 x 2)))
(fma.f64 x 1/6 (*.f64 1/24 (pow.f64 x 2)))
(fma.f64 1/6 x (*.f64 1/24 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/36)) (cbrt.f64 (.f64 x 1/6)) (*.f64 1/24 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) (*.f64 1/24 (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))
(+.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/24 1/6)) 3) 1/8)) (+.f64 1/4 (.f64 (.f64 x (fma.f64 x 1/24 1/6)) (-.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 1/2))))
(/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/24 1/6)) 2))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/24 1/6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/24 1/6)) 3) 1/8) x) (+.f64 1/4 (.f64 (.f64 x (fma.f64 x 1/24 1/6)) (-.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 1/2))))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/24 1/6)) 2)) x) (-.f64 1/2 (*.f64 x (fma.f64 x 1/24 1/6))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))) 1))
(fma.f64 x 1/2 (*.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/24 1/6))) 1)
(-.f64 (/.f64 1/36 (+.f64 1/6 (.f64 -1/24 x))) (/.f64 (.f64 (pow.f64 x 2) 1/576) (+.f64 1/6 (*.f64 -1/24 x))))
(*.f64 1 (fma.f64 x 1/24 1/6))
(*.f64 (fma.f64 x 1/24 1/6) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) 2) (cbrt.f64 (fma.f64 x 1/24 1/6)))
(*.f64 (sqrt.f64 (fma.f64 x 1/24 1/6)) (sqrt.f64 (fma.f64 x 1/24 1/6)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x)))))
(.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (/.f64 1 (+.f64 1/6 (*.f64 -1/24 x))))
(/.f64 1 (/.f64 (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x))) (+.f64 (*.f64 (pow.f64 x 3) 1/13824) 1/216)))
(/.f64 1 (/.f64 (+.f64 1/6 (.f64 -1/24 x)) (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (*.f64 1/144 x))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) (+.f64 (.f64 (pow.f64 x 2) 1/576) (-.f64 1/36 (*.f64 1/144 x))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (+.f64 1/6 (.f64 -1/24 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216)) (neg.f64 (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (*.f64 1/144 x)))))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576))) (neg.f64 (+.f64 1/6 (.f64 -1/24 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/576) 1/36) (-.f64 (.f64 x 1/24) 1/6))
(pow.f64 (fma.f64 x 1/24 1/6) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/24 1/6) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/24 1/6)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/24 1/6) 2))
(log.f64 (exp.f64 (fma.f64 x 1/24 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/24 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/24 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/24 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/24 1/6)))
(exp.f64 (log.f64 (fma.f64 x 1/24 1/6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/24 1/6)) 1))
(fma.f64 1 (*.f64 x 1/24) 1/6)
(fma.f64 x 1/24 1/6)
(fma.f64 1/24 x 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/24)) 2) (cbrt.f64 (.f64 x 1/24)) 1/6)
(fma.f64 (sqrt.f64 (.f64 x 1/24)) (sqrt.f64 (.f64 x 1/24)) 1/6)

simplify108.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1452×	`distribute-lft-in`
1432×	`distribute-rgt-in`
834×	`cancel-sign-sub-inv`
800×	`times-frac`
686×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	6128
1	971	5939
2	3248	5874

Stop Event

1×	node limit

Counts

248 → 238

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/6 x))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x))))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/2 x)
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 1/6 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(*.f64 1/6 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/24 x)
(*.f64 1/6 x)
(.f64 x (+.f64 1/6 (.f64 1/24 x)))
(.f64 x (+.f64 1/6 (.f64 1/24 x)))
(.f64 x (+.f64 1/6 (.f64 1/24 x)))
(*.f64 1/24 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 1/24 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 1/2 x)
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
(*.f64 1/24 (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 (pow.f64 x 3) (+.f64 1/24 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (/.f64 1 x)))))
(.f64 (pow.f64 x 3) (+.f64 1/24 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (/.f64 1 x)))))
(*.f64 1/24 (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 -1 (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/6 (.f64 1/2 (/.f64 1 x))) x)) 1/24)))
(.f64 -1 (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/6 (.f64 1/2 (/.f64 1 x))) x)) 1/24)))
1/6
(+.f64 1/6 (*.f64 1/24 x))
(+.f64 1/6 (*.f64 1/24 x))
(+.f64 1/6 (*.f64 1/24 x))
(*.f64 1/24 x)
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 1/24 x)
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 1/6 (pow.f64 x 2)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (.f64 1/216 (pow.f64 x 3)) 1/8)) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 1/12 x))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36))) (+.f64 1/2 (*.f64 -1/6 x)))
(/.f64 (.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) 1/8) x) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 1/12 x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/36)) x) (+.f64 1/2 (*.f64 -1/6 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/6 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/6 1/2))) 1))
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/24))) 1)
(pow.f64 (*.f64 x 1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/24)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/13824) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/576))
(log.f64 (pow.f64 (exp.f64 x) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/24))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/13824))
(expm1.f64 (log1p.f64 (*.f64 x 1/24)))
(log1p.f64 (expm1.f64 (*.f64 x 1/24)))
(exp.f64 (log.f64 (*.f64 x 1/24)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/24)) 1))
(+.f64 (.f64 x 1/6) (.f64 1/24 (pow.f64 x 2)))
(+.f64 (.f64 x 1/6) (.f64 (*.f64 1/24 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 x 1/6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/24 1/6)))) 1)
(/.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 (.f64 1/24 (pow.f64 x 2)) 3)) (+.f64 (.f64 (pow.f64 x 2) 1/36) (-.f64 (.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 2))) (.f64 (.f64 x 1/6) (*.f64 1/24 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 2)))) (-.f64 (.f64 x 1/6) (.f64 1/24 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216)) (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x))))
(/.f64 (.f64 x (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576))) (+.f64 1/6 (*.f64 -1/24 x)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) x) (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x))))
(/.f64 (.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) x) (+.f64 1/6 (*.f64 -1/24 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/24 1/6))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/24 1/6))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/24 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/24 1/6)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/24 1/6))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/24 1/6))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/24 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/24 1/6))) 1))
(fma.f64 1 (.f64 x 1/6) (.f64 1/24 (pow.f64 x 2)))
(fma.f64 x 1/6 (*.f64 1/24 (pow.f64 x 2)))
(fma.f64 1/6 x (*.f64 1/24 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/36)) (cbrt.f64 (.f64 x 1/6)) (*.f64 1/24 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) (*.f64 1/24 (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))
(+.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)) (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/24 1/6)) 3) 1/8)) (+.f64 1/4 (.f64 (.f64 x (fma.f64 x 1/24 1/6)) (-.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 1/2))))
(/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/24 1/6)) 2))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/24 1/6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/24 1/6)) 3) 1/8) x) (+.f64 1/4 (.f64 (.f64 x (fma.f64 x 1/24 1/6)) (-.f64 (*.f64 x (fma.f64 x 1/24 1/6)) 1/2))))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/24 1/6)) 2)) x) (-.f64 1/2 (*.f64 x (fma.f64 x 1/24 1/6))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))) 1))
(fma.f64 x 1/2 (*.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/24 1/6))) 1)
(-.f64 (/.f64 1/36 (+.f64 1/6 (.f64 -1/24 x))) (/.f64 (.f64 (pow.f64 x 2) 1/576) (+.f64 1/6 (*.f64 -1/24 x))))
(*.f64 1 (fma.f64 x 1/24 1/6))
(*.f64 (fma.f64 x 1/24 1/6) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) 2) (cbrt.f64 (fma.f64 x 1/24 1/6)))
(*.f64 (sqrt.f64 (fma.f64 x 1/24 1/6)) (sqrt.f64 (fma.f64 x 1/24 1/6)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x)))))
(.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (/.f64 1 (+.f64 1/6 (*.f64 -1/24 x))))
(/.f64 1 (/.f64 (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x))) (+.f64 (*.f64 (pow.f64 x 3) 1/13824) 1/216)))
(/.f64 1 (/.f64 (+.f64 1/6 (.f64 -1/24 x)) (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (*.f64 1/144 x))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) (+.f64 (.f64 (pow.f64 x 2) 1/576) (-.f64 1/36 (*.f64 1/144 x))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (+.f64 1/6 (.f64 -1/24 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216)) (neg.f64 (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (*.f64 1/144 x)))))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576))) (neg.f64 (+.f64 1/6 (.f64 -1/24 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/576) 1/36) (-.f64 (.f64 x 1/24) 1/6))
(pow.f64 (fma.f64 x 1/24 1/6) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/24 1/6) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/24 1/6)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/24 1/6) 2))
(log.f64 (exp.f64 (fma.f64 x 1/24 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/24 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/24 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/24 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/24 1/6)))
(exp.f64 (log.f64 (fma.f64 x 1/24 1/6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/24 1/6)) 1))
(fma.f64 1 (*.f64 x 1/24) 1/6)
(fma.f64 x 1/24 1/6)
(fma.f64 1/24 x 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/24)) 2) (cbrt.f64 (.f64 x 1/24)) 1/6)
(fma.f64 (sqrt.f64 (.f64 x 1/24)) (sqrt.f64 (.f64 x 1/24)) 1/6)

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/6 x))))
(+.f64 1 (*.f64 x (fma.f64 x 1/6 1/2)))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x))))))
(+.f64 1 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/2 x)
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 x 1/6 1/2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/6 (/.f64 1/2 x)))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/6 (/.f64 1/2 x)))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/6 (/.f64 1/2 x)))
(*.f64 1/6 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/6 (/.f64 1/2 x)))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/6 (/.f64 1/2 x)))
(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/6 (/.f64 1/2 x)))
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/24 x)
(*.f64 x 1/24)
(*.f64 1/6 x)
(*.f64 x 1/6)
(.f64 x (+.f64 1/6 (.f64 1/24 x)))
(*.f64 x (fma.f64 x 1/24 1/6))
(.f64 x (+.f64 1/6 (.f64 1/24 x)))
(*.f64 x (fma.f64 x 1/24 1/6))
(.f64 x (+.f64 1/6 (.f64 1/24 x)))
(*.f64 x (fma.f64 x 1/24 1/6))
(*.f64 1/24 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/24 1/6))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/24 1/6))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/24 1/6))
(*.f64 1/24 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/24 1/6))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/24 1/6))
(.f64 (pow.f64 x 2) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/24 1/6))
(*.f64 1/2 x)
(.f64 x (+.f64 1/2 (.f64 1/6 x)))
(*.f64 x (fma.f64 x 1/6 1/2))
(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(*.f64 1/24 (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 (+.f64 1/24 (/.f64 1/6 x)) (pow.f64 x 3))
(*.f64 (pow.f64 x 2) (fma.f64 x 1/24 1/6))
(.f64 (pow.f64 x 3) (+.f64 1/24 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (/.f64 1 x)))))
(*.f64 (pow.f64 x 3) (+.f64 1/24 (+.f64 (/.f64 1/6 x) (/.f64 1/2 (pow.f64 x 2)))))
(.f64 (pow.f64 x 3) (+.f64 1/24 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (/.f64 1 x)))))
(*.f64 (pow.f64 x 3) (+.f64 1/24 (+.f64 (/.f64 1/6 x) (/.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/24 (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(*.f64 (+.f64 1/24 (/.f64 1/6 x)) (pow.f64 x 3))
(*.f64 (pow.f64 x 2) (fma.f64 x 1/24 1/6))
(.f64 -1 (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/6 (.f64 1/2 (/.f64 1 x))) x)) 1/24)))
(neg.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (+.f64 1/6 (/.f64 1/2 x)) x) -1/24)))
(*.f64 (pow.f64 x 3) (neg.f64 (fma.f64 -1 (/.f64 (+.f64 1/6 (/.f64 1/2 x)) x) -1/24)))
(*.f64 (pow.f64 x 3) (neg.f64 (-.f64 -1/24 (/.f64 (+.f64 1/6 (/.f64 1/2 x)) x))))
(.f64 -1 (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/6 (.f64 1/2 (/.f64 1 x))) x)) 1/24)))
(neg.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (+.f64 1/6 (/.f64 1/2 x)) x) -1/24)))
(*.f64 (pow.f64 x 3) (neg.f64 (fma.f64 -1 (/.f64 (+.f64 1/6 (/.f64 1/2 x)) x) -1/24)))
(*.f64 (pow.f64 x 3) (neg.f64 (-.f64 -1/24 (/.f64 (+.f64 1/6 (/.f64 1/2 x)) x))))
1/6
(+.f64 1/6 (*.f64 1/24 x))
(fma.f64 x 1/24 1/6)
(+.f64 1/6 (*.f64 1/24 x))
(fma.f64 x 1/24 1/6)
(+.f64 1/6 (*.f64 1/24 x))
(fma.f64 x 1/24 1/6)
(*.f64 1/24 x)
(*.f64 x 1/24)
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(fma.f64 x 1/24 1/6)
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(fma.f64 x 1/24 1/6)
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(fma.f64 x 1/24 1/6)
(*.f64 1/24 x)
(*.f64 x 1/24)
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(fma.f64 x 1/24 1/6)
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(fma.f64 x 1/24 1/6)
(.f64 x (+.f64 1/24 (.f64 1/6 (/.f64 1 x))))
(fma.f64 x 1/24 1/6)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 (/.f64 1 x) 3)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(/.f64 (expm1.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(pow.f64 (*.f64 x 1/6) 1)
(*.f64 x 1/6)
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(.f64 x (/.f64 (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/24 1/6)) 2)) (-.f64 1/2 (*.f64 x (fma.f64 x 1/24 1/6)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 1)
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))) 3)
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 3) 1/3)
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))) 2)
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 2))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2)) 3))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 3)))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 3) (pow.f64 x 3)))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))))
(+.f64 -1 (fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))) 1))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(fma.f64 x 1/2 (*.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(fma.f64 1/2 x (*.f64 (fma.f64 x 1/24 1/6) (pow.f64 x 2)))
(*.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/24 1/6))) 1)
(expm1.f64 (log1p.f64 (fma.f64 x 1/24 1/6)))
(-.f64 (/.f64 1/36 (+.f64 1/6 (.f64 -1/24 x))) (/.f64 (.f64 (pow.f64 x 2) 1/576) (+.f64 1/6 (*.f64 -1/24 x))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (+.f64 1/6 (.f64 x -1/24)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 2) -1/576)) (fma.f64 x -1/24 1/6))
(/.f64 (fma.f64 (pow.f64 x 2) 1/576 -1/36) (fma.f64 x 1/24 -1/6))
(*.f64 1 (fma.f64 x 1/24 1/6))
(fma.f64 x 1/24 1/6)
(*.f64 (fma.f64 x 1/24 1/6) 1)
(fma.f64 x 1/24 1/6)
(*.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) 2))
(fma.f64 x 1/24 1/6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) 2) (cbrt.f64 (fma.f64 x 1/24 1/6)))
(fma.f64 x 1/24 1/6)
(*.f64 (sqrt.f64 (fma.f64 x 1/24 1/6)) (sqrt.f64 (fma.f64 x 1/24 1/6)))
(fma.f64 x 1/24 1/6)
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) (/.f64 1 (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (/.f64 1 (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (neg.f64 (.f64 x 1/144))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (*.f64 x -1/144))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (-.f64 1/36 (fma.f64 x 1/144 (*.f64 (pow.f64 x 2) -1/576))))
(.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (/.f64 1 (+.f64 1/6 (*.f64 -1/24 x))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (+.f64 1/6 (.f64 x -1/24)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 2) -1/576)) (fma.f64 x -1/24 1/6))
(/.f64 (fma.f64 (pow.f64 x 2) 1/576 -1/36) (fma.f64 x 1/24 -1/6))
(/.f64 1 (/.f64 (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (.f64 1/144 x))) (+.f64 (*.f64 (pow.f64 x 3) 1/13824) 1/216)))
(.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (/.f64 1 (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (neg.f64 (.f64 x 1/144))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (*.f64 x -1/144))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (-.f64 1/36 (fma.f64 x 1/144 (*.f64 (pow.f64 x 2) -1/576))))
(/.f64 1 (/.f64 (+.f64 1/6 (.f64 -1/24 x)) (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (+.f64 1/6 (.f64 x -1/24)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 2) -1/576)) (fma.f64 x -1/24 1/6))
(/.f64 (fma.f64 (pow.f64 x 2) 1/576 -1/36) (fma.f64 x 1/24 -1/6))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (*.f64 1/144 x))))
(.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (/.f64 1 (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (neg.f64 (.f64 x 1/144))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (*.f64 x -1/144))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (-.f64 1/36 (fma.f64 x 1/144 (*.f64 (pow.f64 x 2) -1/576))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216) (+.f64 (.f64 (pow.f64 x 2) 1/576) (-.f64 1/36 (*.f64 1/144 x))))
(.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (/.f64 1 (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (neg.f64 (.f64 x 1/144))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (*.f64 x -1/144))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (-.f64 1/36 (fma.f64 x 1/144 (*.f64 (pow.f64 x 2) -1/576))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (+.f64 1/6 (.f64 -1/24 x)))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (+.f64 1/6 (.f64 x -1/24)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 2) -1/576)) (fma.f64 x -1/24 1/6))
(/.f64 (fma.f64 (pow.f64 x 2) 1/576 -1/36) (fma.f64 x 1/24 -1/6))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/13824) 1/216)) (neg.f64 (+.f64 1/36 (-.f64 (.f64 (pow.f64 x 2) 1/576) (*.f64 1/144 x)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (/.f64 1 (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (neg.f64 (.f64 x 1/144))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 2) 1/576 (*.f64 x -1/144))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/13824 1/216) (-.f64 1/36 (fma.f64 x 1/144 (*.f64 (pow.f64 x 2) -1/576))))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576))) (neg.f64 (+.f64 1/6 (.f64 -1/24 x))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (+.f64 1/6 (.f64 x -1/24)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 2) -1/576)) (fma.f64 x -1/24 1/6))
(/.f64 (fma.f64 (pow.f64 x 2) 1/576 -1/36) (fma.f64 x 1/24 -1/6))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/576) 1/36) (-.f64 (.f64 x 1/24) 1/6))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 2) 1/576)) (+.f64 1/6 (.f64 x -1/24)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 2) -1/576)) (fma.f64 x -1/24 1/6))
(/.f64 (fma.f64 (pow.f64 x 2) 1/576 -1/36) (fma.f64 x 1/24 -1/6))
(pow.f64 (fma.f64 x 1/24 1/6) 1)
(fma.f64 x 1/24 1/6)
(pow.f64 (cbrt.f64 (fma.f64 x 1/24 1/6)) 3)
(fma.f64 x 1/24 1/6)
(pow.f64 (pow.f64 (fma.f64 x 1/24 1/6) 3) 1/3)
(fma.f64 x 1/24 1/6)
(pow.f64 (sqrt.f64 (fma.f64 x 1/24 1/6)) 2)
(fma.f64 x 1/24 1/6)
(sqrt.f64 (pow.f64 (fma.f64 x 1/24 1/6) 2))
(fma.f64 x 1/24 1/6)
(log.f64 (exp.f64 (fma.f64 x 1/24 1/6)))
(fma.f64 x 1/24 1/6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/24 1/6))))
(fma.f64 x 1/24 1/6)
(cbrt.f64 (pow.f64 (fma.f64 x 1/24 1/6) 3))
(fma.f64 x 1/24 1/6)
(expm1.f64 (log1p.f64 (fma.f64 x 1/24 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/24 1/6)))
(fma.f64 x 1/24 1/6)
(exp.f64 (log.f64 (fma.f64 x 1/24 1/6)))
(fma.f64 x 1/24 1/6)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/24 1/6)) 1))
(fma.f64 x 1/24 1/6)
(fma.f64 1 (*.f64 x 1/24) 1/6)
(fma.f64 x 1/24 1/6)
(fma.f64 x 1/24 1/6)
(fma.f64 1/24 x 1/6)
(fma.f64 x 1/24 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/24)) 2) (cbrt.f64 (.f64 x 1/24)) 1/6)
(fma.f64 x 1/24 1/6)
(fma.f64 (sqrt.f64 (.f64 x 1/24)) (sqrt.f64 (.f64 x 1/24)) 1/6)
(fma.f64 x 1/24 1/6)

eval100.0ms (2.9%)

Compiler: Compiled 3908 to 3077 computations (21.3% saved)

prune33.0ms (0.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	238	6	244

Accuracy

100.0%

Counts

244 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	63.7%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
✓	59.4%	(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
✓	48.1%	(+.f64 1 (*.f64 1/2 x))
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	48.2%	1

Compiler

Compiled 89 to 66 computations (25.8% saved)

regimes9.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) x)

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

6.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24))))))

Outputs
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24))))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
63.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))

Outputs
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
59.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.7b remaining (-2%)

Threshold costs -0.7b (-2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
48.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
10×	`+-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	95
1	37	95

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
1

Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/6))))
1

Compiler

Compiled 31 to 24 computations (22.6% saved)

soundness275.0ms (7.9%)

Rules

1022×	`distribute-lft-neg-out`
698×	`fma-define`
642×	`div-sub`
636×	`fma-define`
616×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	235	2388
1	430	2317
2	1161	2281
3	4844	2263
0	15	88
1	43	80
2	88	80
3	240	80
4	630	80
5	972	80
6	1342	80
7	1586	80
8	1657	80

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 57 to 43 computations (24.6% saved)

end0.0ms (0%)

preprocess53.0ms (1.5%)

Compiler: Compiled 116 to 82 computations (29.3% saved)

analyze2.0ms (0%)

sample1.5s (42.5%)

preprocess218.0ms (6.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize43.0ms (1.2%)

series2.0ms (0.1%)

rewrite200.0ms (5.8%)

simplify77.0ms (2.2%)

eval22.0ms (0.6%)

prune17.0ms (0.5%)

localize645.0ms (18.6%)

series11.0ms (0.3%)

rewrite166.0ms (4.8%)

simplify108.0ms (3.1%)

eval100.0ms (2.9%)

prune33.0ms (0.9%)

regimes9.0ms (0.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify4.0ms (0.1%)

soundness275.0ms (7.9%)

end0.0ms (0%)

preprocess53.0ms (1.5%)

Profiling