Metrics for Hyperbolic arc-(co)tangent

analyze5.0ms (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 14 to 12 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-div, time spent: 1.0ms, 40.0% of total-time

Operation ival-log, time spent: 1.0ms, 40.0% of total-time

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

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

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

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

sample4.6s (60%)

Results

2.9s	4129×	1024	valid
599.0ms	2049×	512	valid
368.0ms	1825×	256	valid
169.0ms	252×	2048	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

Operation ival-log, time spent: 1.7s, 59.0% of total-time

Operation ival-div, time spent: 466.0ms, 16.0% of total-time

Operation ival-sub, time spent: 262.0ms, 9.0% of total-time

Operation ival-mult, time spent: 218.0ms, 7.0% of total-time

Operation ival-add, time spent: 181.0ms, 6.0% of total-time

Operation const, time spent: 64.0ms, 2.0% of total-time

Bogosity

preprocess565.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-define`
442×	`fma-neg`
192×	`times-frac`
158×	`div-sub`
100×	`associate-l`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
0	-	-	`x`
0	-	-	`(+.f64 1 x)`
0	-	-	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
0	-	-	`(/.f64 (+.f64 1 x) (-.f64 1 x))`
0	-	-	`(/.f64 1 2)`
0	-	-	`(-.f64 1 x)`
0	-	-	`2`
0	-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	148
1	44	140
2	69	140
3	118	140
4	214	140
5	451	140
6	1138	140
7	1432	140
8	1598	140

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
(*.f64 -1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) -1/2)

Results

280.0ms	255×	1024	valid
77.0ms	122×	512	valid
32.0ms	118×	256	valid
22.0ms	16×	2048	valid
1.0ms	1×	1024	valid

Compiler

Compiled 95 to 75 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

Operation ival-log, time spent: 159.0ms, 49.0% of total-time

Operation ival-div, time spent: 74.0ms, 23.0% of total-time

Operation ival-add, time spent: 34.0ms, 11.0% of total-time

Operation ival-sub, time spent: 33.0ms, 10.0% of total-time

Operation const, time spent: 11.0ms, 3.0% of total-time

Operation ival-mult, time spent: 11.0ms, 3.0% 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
▶	7.9%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize215.0ms (2.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	7.9%	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Results

127.0ms	127×	1024	valid
33.0ms	61×	512	valid
14.0ms	59×	256	valid
10.0ms	8×	2048	valid
1.0ms	1×	1024	valid

Compiler

Compiled 36 to 27 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

Operation ival-log, time spent: 82.0ms, 60.0% of total-time

Operation ival-add, time spent: 18.0ms, 13.0% of total-time

Operation ival-div, time spent: 15.0ms, 11.0% of total-time

Operation ival-sub, time spent: 13.0ms, 9.0% of total-time

Operation ival-mult, time spent: 5.0ms, 4.0% of total-time

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

series10.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

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

Outputs
#<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 (.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) (+.f64 2/7 (*.f64 2/9 (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 (pow.f64 x 2) (+.f64 2/7 (.f64 (pow.f64 x 2) (+.f64 2/9 (.f64 2/11 (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 (+.f64 (log.f64 -1) (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (*.f64 2/9 (/.f64 1 (pow.f64 x 9))))))))>
#<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 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/5 (.f64 2/7 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 2 (.f64 2/3 (/.f64 1 (pow.f64 x 2))))) x)))>
#<alt (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/7 (.f64 2/9 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))) (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 x 4)) (.f64 2/3 (/.f64 1 (pow.f64 x 2)))))) x)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 2 x))>
#<alt (+.f64 1 (.f64 x (+.f64 2 (.f64 2 x))))>
#<alt (+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))>
#<alt (+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x))))))))>
#<alt (+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))))))>
#<alt -1>
#<alt (.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 4))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 2))))))>
#<alt -1>
#<alt (.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2) x))) x)) 1)>
#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2) x))) x)) 1)>

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(log (/ (+ 1 x) (- 1 x)))
2.0ms	x	@	inf	(log (/ (+ 1 x) (- 1 x)))
2.0ms	x	@	-inf	(log (/ (+ 1 x) (- 1 x)))
0.0ms	x	@	inf	(/ (+ 1 x) (- 1 x))
0.0ms	x	@	-inf	(/ (+ 1 x) (- 1 x))

rewrite216.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`unpow-prod-down`
667×	`log1p-expm1-u`
667×	`expm1-log1p-u`
634×	`log-prod`
374×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	131	50
2	1791	50

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))

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

simplify143.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac`
580×	`exp-prod`
554×	`associate-r`
534×	`fma-define`
520×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	671	9769
1	1512	9459
2	4885	9324

Stop Event

1×	node limit

Counts

230 → 356

Calls

Call 1

Inputs
(*.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))))))))
(.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) (+.f64 2/7 (*.f64 2/9 (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) (+.f64 2/7 (.f64 (pow.f64 x 2) (+.f64 2/9 (.f64 2/11 (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))))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.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 2/7 (pow.f64 x 7)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (*.f64 2/9 (/.f64 1 (pow.f64 x 9))))))))
(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 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/5 (.f64 2/7 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 2 (.f64 2/3 (/.f64 1 (pow.f64 x 2))))) x)))
(+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/7 (.f64 2/9 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))) (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 x 4)) (.f64 2/3 (/.f64 1 (pow.f64 x 2)))))) x)))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (.f64 x (+.f64 2 (.f64 2 x))))
(+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))
(+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x))))))))
(+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))))))
-1
(.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 4))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 2))))))
-1
(.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 1)
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2) x))) x)) 1)
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2) x))) x)) 1)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (log.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (*.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (-.f64 1 x) (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (.f64 (fma.f64 x (-.f64 x 1) 1) (-.f64 1 x))))
(-.f64 (log.f64 (.f64 (-.f64 1 (pow.f64 x 2)) 1)) (.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1 x -1))) (log.f64 (neg.f64 (neg.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x)))) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(.f64 3 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 -1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(.f64 1/3 (.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2) 1/3) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(.f64 (pow.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1/3) (pow.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1/3))
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

Outputs
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
(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 (+.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 (+.f64 2 (.f64 (pow.f64 x 2) (+.f64 2/3 (.f64 (pow.f64 x 2) (+.f64 2/5 (.f64 (pow.f64 x 2) (+.f64 2/7 (*.f64 2/9 (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) (+.f64 2/7 (*.f64 (pow.f64 x 2) 2/9)))))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/9 2/7) 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 (pow.f64 x 2) (+.f64 2/7 (.f64 (pow.f64 x 2) (+.f64 2/9 (.f64 2/11 (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) (+.f64 2/7 (.f64 (pow.f64 x 2) (+.f64 2/9 (.f64 (pow.f64 x 2) 2/11)))))))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/11 2/9) 2/7) 2/5) 2/3) 2))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 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 x) (/.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 (.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 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.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 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))) (/.f64 2/7 (pow.f64 x 7))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/7 (pow.f64 x 7)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))) (/.f64 2/7 (pow.f64 x 7))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (*.f64 2/9 (/.f64 1 (pow.f64 x 9))))))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2/7 (pow.f64 x 7))) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/9 (pow.f64 x 9)))))
(+.f64 (+.f64 (+.f64 (log.f64 -1) (/.f64 2/7 (pow.f64 x 7))) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/9 (pow.f64 x 9))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2/9 (pow.f64 x 9)) (/.f64 2 x)))) (/.f64 2/3 (pow.f64 x 3))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 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 x) (/.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 -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 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/5 (.f64 2/7 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 2 (.f64 2/3 (/.f64 1 (pow.f64 x 2))))) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 2/5 (/.f64 2/7 (pow.f64 x 2))) (pow.f64 x 4))) (+.f64 2 (/.f64 2/3 (pow.f64 x 2)))) x)))
(-.f64 (log.f64 -1) (-.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/5 (/.f64 2/7 (pow.f64 x 2))) (pow.f64 x 4)) -2) x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (/.f64 (+.f64 (/.f64 (+.f64 2/5 (/.f64 2/7 (pow.f64 x 2))) (pow.f64 x 4)) (+.f64 2 (/.f64 2/3 (pow.f64 x 2)))) x))
(+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/7 (.f64 2/9 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))) (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 x 4)) (.f64 2/3 (/.f64 1 (pow.f64 x 2)))))) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 2/7 (/.f64 2/9 (pow.f64 x 2))) (pow.f64 x 6))) (+.f64 2 (+.f64 (/.f64 2/3 (pow.f64 x 2)) (/.f64 2/5 (pow.f64 x 4))))) x)))
(-.f64 (log.f64 -1) (/.f64 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2/7 (/.f64 2/9 (pow.f64 x 2))) (pow.f64 x 6)) -2) (+.f64 (/.f64 2/3 (pow.f64 x 2)) (/.f64 2/5 (pow.f64 x 4)))) x))
(+.f64 (log.f64 -1) (/.f64 (+.f64 (/.f64 (+.f64 2/7 (/.f64 2/9 (pow.f64 x 2))) (pow.f64 x 6)) (+.f64 2 (+.f64 (/.f64 2/3 (pow.f64 x 2)) (/.f64 2/5 (pow.f64 x 4))))) x))
1
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 1 (.f64 x (+.f64 2 (.f64 2 x))))
(fma.f64 x (fma.f64 2 x 2) 1)
(+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))
(fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 1)
(+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 2 x))))))))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2) 1)
(+.f64 1 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (.f64 x (+.f64 2 (*.f64 2 x))))))))))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 2 x 2) 2) 2) 2) 1)
-1
(.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -1)
(+.f64 -1 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (neg.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (pow.f64 x 2))) (+.f64 1 (/.f64 2 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) x) -2) x) 1)
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) x) -2) x) -1)
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))))
(-.f64 (neg.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (pow.f64 x 3))) (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))))
(-.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) (pow.f64 x 3)) (-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (pow.f64 x 2))))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) (pow.f64 x 4))) (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 2))))))
(-.f64 (neg.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (pow.f64 x 4))) (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) (pow.f64 x 4)) (+.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))) (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) (pow.f64 x 4)) (-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
-1
(.f64 -1 (+.f64 1 (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -1)
(+.f64 -1 (/.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)) 1)
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -1)
(-.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 (/.f64 1 x))) x)) 2) x))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 2 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2 (/.f64 2 x)) x) -2) x))) x) -1)
(fma.f64 -1 (/.f64 (-.f64 2 (/.f64 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) x) -2) x)) x) -1)
(-.f64 -1 (/.f64 (-.f64 2 (/.f64 (+.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) x) -2) x)) x))
(-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (/.f64 2 (pow.f64 x 2)))) x)) 2) x))) x)) 1)
(fma.f64 -1 (/.f64 (+.f64 2 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -2) x))) x) -1)
(fma.f64 -1 (/.f64 (-.f64 2 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x) -2) x)) x) -1)
(-.f64 -1 (/.f64 (-.f64 2 (/.f64 (-.f64 -2 (/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))) x)) x)) x))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (*.f64 2/3 (log1p.f64 x)) (log.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(fma.f64 2/3 (log1p.f64 x) (log.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 2/3 (log1p.f64 x)) (log.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(fma.f64 2/3 (log1p.f64 x) (log.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(fma.f64 1/2 (log1p.f64 x) (log.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(fma.f64 (log1p.f64 x) 1/2 (log.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (log.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(fma.f64 1/2 (log1p.f64 x) (log.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(fma.f64 (log1p.f64 x) 1/2 (log.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (+.f64 x -1)))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (.f64 (log1p.f64 (neg.f64 x)) 1)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (.f64 (log1p.f64 (neg.f64 x)) 1)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (.f64 (log1p.f64 (neg.f64 x)) 1)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
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(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -2)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (fma.f64 x (+.f64 x -1) 1))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) -1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (fabs.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(neg.f64 (/.f64 (fma.f64 -1 x -1) (-.f64 1 x)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))

eval138.0ms (1.8%)

Compiler: Compiled 7184 to 5084 computations (29.2% saved)

prune54.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	352	4	356
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	352	5	357

Accuracy

100.0%

Counts

357 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 1/2 (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))
▶	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	99.6%	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))
▶	99.1%	(.f64 1/2 (.f64 2 x))
✓	7.9%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 49 to 40 computations (18.4% saved)

localize489.0ms (6.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 2/3 (pow.f64 x 3))
✓	100.0%	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓	100.0%	(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
✓	99.7%	(*.f64 2/3 (pow.f64 x 2))

Results

266.0ms	122×	1024	valid
80.0ms	65×	512	valid
39.0ms	64×	256	valid
11.0ms	4×	2048	valid
4.0ms	1×	1024	valid

Compiler

Compiled 106 to 72 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

Operation composed, time spent: 131.0ms, 30.0% of total-time

Operation ival-log, time spent: 95.0ms, 22.0% of total-time

Operation ival-mult, time spent: 87.0ms, 20.0% of total-time

Operation ival-pow, time spent: 73.0ms, 17.0% of total-time

Operation ival-add, time spent: 28.0ms, 6.0% of total-time

Operation const, time spent: 12.0ms, 3.0% of total-time

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

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

series21.0ms (0.3%)

Counts

4 → 31

Calls

Call 1

Inputs
#<alt (*.f64 2/3 (pow.f64 x 2))>
#<alt (.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))>
#<alt (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))>
#<alt (*.f64 2/3 (pow.f64 x 3))>

Outputs
#<alt (*.f64 2 x)>
#<alt (*.f64 2/3 (pow.f64 x 3))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 2/3 (pow.f64 x 3))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 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 (.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) (+.f64 2/7 (*.f64 2/9 (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 (pow.f64 x 2) (+.f64 2/7 (.f64 (pow.f64 x 2) (+.f64 2/9 (.f64 2/11 (pow.f64 x 2))))))))))))>
#<alt (*.f64 -1 (log.f64 -1))>
#<alt (-.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))>
#<alt (-.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))) (log.f64 -1))>
#<alt (-.f64 (+.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))>
#<alt (-.f64 (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.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))>
#<alt (-.f64 (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (*.f64 2/9 (/.f64 1 (pow.f64 x 9))))))) (log.f64 -1))>
#<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 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/5 (.f64 2/7 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 2 (.f64 2/3 (/.f64 1 (pow.f64 x 2))))) x)))>
#<alt (+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/7 (.f64 2/9 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))) (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 x 4)) (.f64 2/3 (/.f64 1 (pow.f64 x 2)))))) x)))>

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* x (+ 2 (* 2/3 (pow x 2))))
3.0ms	x	@	0	(- (log (+ 1 x)) (log (+ 1 (neg x))))
2.0ms	x	@	inf	(* x (+ 2 (* 2/3 (pow x 2))))
1.0ms	x	@	inf	(- (log (+ 1 x)) (log (+ 1 (neg x))))
1.0ms	x	@	0	(* 2/3 (pow x 2))

rewrite117.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`prod-diff`
1031×	`log1p-expm1-u`
1031×	`expm1-log1p-u`
226×	`associate-r`
130×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	88
1	267	80
2	3571	80

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 2))
(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(*.f64 2/3 (pow.f64 x 3))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 8/27) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 2))) 1))
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 (.f64 x 2) 1) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (.f64 2/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 6) 8/27) 8)) (+.f64 4 (-.f64 (.f64 (pow.f64 x 4) 4/9) (.f64 4/3 (pow.f64 x 2)))))
(/.f64 (.f64 x (-.f64 4 (.f64 (pow.f64 x 4) 4/9))) (fma.f64 2/3 (pow.f64 x 2) 2))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) 8/27) 8) x) (+.f64 4 (-.f64 (.f64 (pow.f64 x 4) 4/9) (.f64 4/3 (pow.f64 x 2)))))
(/.f64 (.f64 (-.f64 4 (.f64 (pow.f64 x 4) 4/9)) x) (fma.f64 2/3 (pow.f64 x 2) 2))
(pow.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 2) 2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2/3 (pow.f64 x 2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 2) 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))) 1))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(cbrt.f64 (.f64 (.f64 (pow.f64 x 6) 8/27) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 6) 8/27)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(exp.f64 (+.f64 (log.f64 (*.f64 2/3 (pow.f64 x 2))) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 2/3 (pow.f64 x 2)))))

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1904×	`fma-define`
1352×	`fma-neg`
684×	`*-commutative`
636×	`distribute-rgt-in`
622×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	3028
1	914	2926
2	2437	2883
3	7119	2883

Stop Event

1×	node limit

Counts

136 → 186

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 2/3 (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 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))))))))
(.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) (+.f64 2/7 (*.f64 2/9 (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) (+.f64 2/7 (.f64 (pow.f64 x 2) (+.f64 2/9 (.f64 2/11 (pow.f64 x 2))))))))))))
(*.f64 -1 (log.f64 -1))
(-.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(-.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.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 (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.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 (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (*.f64 2/9 (/.f64 1 (pow.f64 x 9))))))) (log.f64 -1))
(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 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/5 (.f64 2/7 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 2 (.f64 2/3 (/.f64 1 (pow.f64 x 2))))) x)))
(+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/7 (.f64 2/9 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))) (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 x 4)) (.f64 2/3 (/.f64 1 (pow.f64 x 2)))))) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 8/27) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 2))) 1))
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 (.f64 x 2) 1) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (.f64 2/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 6) 8/27) 8)) (+.f64 4 (-.f64 (.f64 (pow.f64 x 4) 4/9) (.f64 4/3 (pow.f64 x 2)))))
(/.f64 (.f64 x (-.f64 4 (.f64 (pow.f64 x 4) 4/9))) (fma.f64 2/3 (pow.f64 x 2) 2))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) 8/27) 8) x) (+.f64 4 (-.f64 (.f64 (pow.f64 x 4) 4/9) (.f64 4/3 (pow.f64 x 2)))))
(/.f64 (.f64 (-.f64 4 (.f64 (pow.f64 x 4) 4/9)) x) (fma.f64 2/3 (pow.f64 x 2) 2))
(pow.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 2) 2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2/3 (pow.f64 x 2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 2) 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))) 1))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(cbrt.f64 (.f64 (.f64 (pow.f64 x 6) 8/27) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 6) 8/27)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(exp.f64 (+.f64 (log.f64 (*.f64 2/3 (pow.f64 x 2))) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 2/3 (pow.f64 x 2)))))

Outputs
(*.f64 2 x)
(*.f64 2/3 (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(*.f64 2/3 (pow.f64 x 3))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(.f64 (pow.f64 x 3) (+.f64 2/3 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 3) (+.f64 2/3 (/.f64 2 (pow.f64 x 2))))
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 2/3 (pow.f64 x 2))))
(*.f64 x (fma.f64 2/3 (pow.f64 x 2) 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(.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 2/3 (pow.f64 x 2) (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 2/3 (pow.f64 x 2) (fma.f64 (fma.f64 (pow.f64 x 2) 2/7 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 (pow.f64 x 2) (+.f64 2/7 (*.f64 2/9 (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) (+.f64 2/7 (*.f64 (pow.f64 x 2) 2/9)))))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/9 2/7) 2/5) 2/3) 2))
(*.f64 x (fma.f64 2/3 (pow.f64 x 2) (fma.f64 (fma.f64 (pow.f64 x 2) 2/7 (fma.f64 2/9 (pow.f64 x 4) 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 (pow.f64 x 2) (+.f64 2/7 (.f64 (pow.f64 x 2) (+.f64 2/9 (.f64 2/11 (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) (+.f64 2/7 (.f64 (pow.f64 x 2) (+.f64 2/9 (.f64 (pow.f64 x 2) 2/11)))))))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 2/11 2/9) 2/7) 2/5) 2/3) 2))
(*.f64 x (fma.f64 2/3 (pow.f64 x 2) (fma.f64 (fma.f64 (pow.f64 x 2) 2/7 (fma.f64 (fma.f64 (pow.f64 x 2) 2/11 2/9) (pow.f64 x 4) 2/5)) (pow.f64 x 4) 2)))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(-.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(-.f64 (/.f64 2 x) (log.f64 -1))
(-.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))) (log.f64 -1))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (log.f64 -1)))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)))
(-.f64 (+.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 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (log.f64 -1)))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (-.f64 (/.f64 2 x) (log.f64 -1))))
(+.f64 (-.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.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 (/.f64 2/7 (pow.f64 x 7)) (+.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 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))) (-.f64 (/.f64 2/7 (pow.f64 x 7)) (log.f64 -1)))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (-.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/7 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (*.f64 2/9 (/.f64 1 (pow.f64 x 9))))))) (log.f64 -1))
(+.f64 (/.f64 2/7 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/9 (pow.f64 x 9)))) (log.f64 -1)))
(+.f64 (/.f64 2/7 (pow.f64 x 7)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2/9 (pow.f64 x 9)))) (log.f64 -1))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2/9 (pow.f64 x 9)) (/.f64 2/7 (pow.f64 x 7))))) (log.f64 -1)))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 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 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.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 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/5 (.f64 2/7 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 2 (.f64 2/3 (/.f64 1 (pow.f64 x 2))))) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 2/5 (/.f64 2/7 (pow.f64 x 2))) (pow.f64 x 4))) (+.f64 2 (/.f64 2/3 (pow.f64 x 2)))) x)))
(-.f64 (log.f64 -1) (-.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 2/5 (/.f64 2/7 (pow.f64 x 2))) (pow.f64 x 4)) -2) x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (/.f64 (+.f64 (/.f64 (+.f64 2/5 (/.f64 2/7 (pow.f64 x 2))) (pow.f64 x 4)) (+.f64 2 (/.f64 2/3 (pow.f64 x 2)))) x))
(+.f64 (log.f64 -1) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 2/7 (.f64 2/9 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))) (+.f64 2 (+.f64 (/.f64 2/5 (pow.f64 x 4)) (.f64 2/3 (/.f64 1 (pow.f64 x 2)))))) x)))
(+.f64 (log.f64 -1) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 2/7 (/.f64 2/9 (pow.f64 x 2))) (pow.f64 x 6))) (+.f64 2 (+.f64 (/.f64 2/3 (pow.f64 x 2)) (/.f64 2/5 (pow.f64 x 4))))) x)))
(-.f64 (log.f64 -1) (/.f64 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2/7 (/.f64 2/9 (pow.f64 x 2))) (pow.f64 x 6)) -2) (+.f64 (/.f64 2/3 (pow.f64 x 2)) (/.f64 2/5 (pow.f64 x 4)))) x))
(+.f64 (log.f64 -1) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 2/7 (/.f64 2/9 (pow.f64 x 2))) (pow.f64 x 6)) 2) (+.f64 (/.f64 2/3 (pow.f64 x 2)) (/.f64 2/5 (pow.f64 x 4)))) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 2)))) 1)
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 2))))
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(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (+.f64 (log.f64 (*.f64 2/3 (pow.f64 x 2))) (log.f64 x)))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 2/3 (pow.f64 x 2)))))
(*.f64 2/3 (pow.f64 x 3))

eval67.0ms (0.9%)

Compiler: Compiled 3253 to 2405 computations (26.1% saved)

prune29.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	186	5	191

Accuracy

100.0%

Counts

191 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	99.6%	(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
✓	99.1%	(.f64 1/2 (.f64 2 x))
✓	7.9%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	5.4%	(*.f64 1/2 0)

Compiler

Compiled 42 to 35 computations (16.7% saved)

localize89.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
	99.8%	(*.f64 2/3 (pow.f64 x 3))

Results

66.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 43 to 35 computations (18.6% saved)

Precisions

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

Operation ival-pow, time spent: 23.0ms, 53.0% of total-time

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

Operation ival-add, time spent: 3.0ms, 7.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

eval6.0ms (0.1%)

Compiler: Compiled 267 to 224 computations (16.1% saved)

prune9.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	19	5	24

Accuracy

100.0%

Counts

24 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	99.6%	(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
✓	99.1%	(.f64 1/2 (.f64 2 x))
✓	7.9%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	5.4%	(*.f64 1/2 0)

Compiler

Compiled 113 to 93 computations (17.7% saved)

regimes13.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 1/2 0)
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))
(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (fma.f64 2 x (.f64 2/3 (pow.f64 x 3))))

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

Calls

4 calls:

5.0ms	x
2.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

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

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes13.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 1/2 0)
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))
(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Outputs
(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))

Calls

4 calls:

5.0ms	x
3.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
99.6%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
99.6%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes8.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/2 0)
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))

Outputs
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))

Calls

3 calls:

4.0ms	x
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
99.6%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
99.1%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 0)

Outputs
(*.f64 1/2 0)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
5.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
10×	`+-commutative`
6×	`sub-neg`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	122
1	44	122
2	49	122
3	52	122
4	53	122

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 0)

Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 2/3 (pow.f64 x 2)))))
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (.f64 x 2))
(*.f64 1/2 0)
0

Compiler

Compiled 41 to 34 computations (17.1% saved)

soundness658.0ms (8.6%)

Rules

1904×	`fma-define`
1596×	`prod-diff`
1352×	`fma-neg`
1146×	`unpow-prod-down`
1031×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	131	50
2	1791	50
0	355	3028
1	914	2926
2	2437	2883
3	7119	2883
0	22	148
1	44	140
2	69	140
3	118	140
4	214	140
5	451	140
6	1138	140
7	1432	140
8	1598	140
0	19	88
1	267	80
2	3571	80
0	671	9769
1	1512	9459
2	4885	9324

Stop Event

1×	node limit
1×	node limit
1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 341 to 243 computations (28.7% saved)

end0.0ms (0%)

preprocess51.0ms (0.7%)

Compiler: Compiled 100 to 82 computations (18% saved)

analyze5.0ms (0.1%)

sample4.6s (60%)

preprocess565.0ms (7.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize215.0ms (2.8%)

series10.0ms (0.1%)

rewrite216.0ms (2.8%)

simplify143.0ms (1.9%)

eval138.0ms (1.8%)

prune54.0ms (0.7%)

localize489.0ms (6.4%)

series21.0ms (0.3%)

rewrite117.0ms (1.5%)

simplify119.0ms (1.6%)

eval67.0ms (0.9%)

prune29.0ms (0.4%)

localize89.0ms (1.2%)

eval6.0ms (0.1%)

prune9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

simplify5.0ms (0.1%)

soundness658.0ms (8.6%)

end0.0ms (0%)

preprocess51.0ms (0.7%)

Profiling