Metrics for Hyperbolic arc-(co)secant

analyze62.0ms (1.9%)

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
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

Operation ival-sqrt, time spent: 58.0ms, 97.0% of total-time

Operation ival-div, time spent: 1.0ms, 2.0% of total-time

Operation ival-log, time spent: 1.0ms, 2.0% 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

sample1.8s (54.2%)

Results

1.7s	8255×	256	valid
3.0ms	24×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-log, time spent: 515.0ms, 48.0% of total-time

Operation ival-sqrt, time spent: 164.0ms, 15.0% of total-time

Operation ival-div, time spent: 142.0ms, 13.0% of total-time

Operation ival-add, time spent: 125.0ms, 12.0% of total-time

Operation ival-mult, time spent: 58.0ms, 5.0% of total-time

Operation ival-sub, time spent: 53.0ms, 5.0% of total-time

Operation const, time spent: 19.0ms, 2.0% of total-time

Bogosity

preprocess402.0ms (12.4%)

Algorithm

1×	egg-herbie

Rules

1538×	`fma-define`
1138×	`distribute-rgt-neg-in`
1096×	`distribute-lft-out`
1036×	`distribute-lft-out--`
920×	`fma-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 (-.f64 1 (*.f64 x x)))`
-	-	`x`
-	-	`(-.f64 1 (*.f64 x x))`
-	-	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
-	-	`(*.f64 x x)`
-	-	`(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)`
-	-	`(/.f64 1 x)`
-	-	`1`
-	-	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	50	208
2	84	208
3	170	208
4	307	196
5	528	196
6	846	168
7	1587	166
8	2782	166
9	4092	166
10	4751	166
11	5185	166
12	6007	166
13	6918	166
14	7306	166
15	7902	166

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(log.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)))
(-.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (log.f64 x))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(log.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)))
(-.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (log.f64 x))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (-.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (.f64 (/.f64 -1 x) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -1)))
(log.f64 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))
(log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))
(neg.f64 (log.f64 (-.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(neg.f64 (log.f64 (.f64 (/.f64 -1 x) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -1))))
(neg.f64 (log.f64 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))
(-.f64 (log.f64 (neg.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 x)) (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))

Compiler

Compiled 122 to 70 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

Operation ival-sqrt, time spent: 29.0ms, 30.0% of total-time

Operation ival-div, time spent: 26.0ms, 27.0% of total-time

Operation ival-sub, time spent: 14.0ms, 15.0% of total-time

Operation ival-log, time spent: 13.0ms, 14.0% of total-time

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

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

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

eval1.0ms (0%)

Compiler: Compiled 47 to 32 computations (31.9% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 25 to 18 computations (28% saved)

localize159.0ms (4.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
✓	100.0%	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

Compiler

Compiled 89 to 46 computations (48.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

Operation ival-log, time spent: 27.0ms, 23.0% of total-time

Operation composed, time spent: 24.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 23.0ms, 20.0% of total-time

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

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

Operation ival-add, time spent: 10.0ms, 9.0% of total-time

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

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

series11.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
2.0ms	x	@	0	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
1.0ms	x	@	inf	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
1.0ms	x	@	-inf	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

rewrite218.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`prod-diff`
940×	`log1p-expm1-u`
940×	`expm1-log1p-u`
526×	`fma-define`
316×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	197	66
2	2594	66

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

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

simplify106.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1494×	`fma-define`
750×	`unswap-sqr`
564×	`associate-+l+`
522×	`times-frac`
428×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	7024
1	823	6863
2	2476	6657

Stop Event

1×	node limit

Counts

138 → 194

Calls

Call 1

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

Outputs
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (-.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (sqrt.f64 -1) (/.f64 -1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))))))
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(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) 2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x)) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x)) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x)) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 -1 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))

eval86.0ms (2.7%)

Compiler: Compiled 4268 to 3265 computations (23.5% saved)

prune27.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	192	4	196

Accuracy

100.0%

Counts

196 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.7%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
▶	99.8%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

Compiler

Compiled 47 to 35 computations (25.5% saved)

localize117.0ms (3.6%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 61 to 44 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

Operation ival-div, time spent: 21.0ms, 34.0% of total-time

Operation ival-log, time spent: 16.0ms, 26.0% of total-time

Operation ival-mult, time spent: 13.0ms, 21.0% of total-time

Operation ival-add, time spent: 8.0ms, 13.0% of total-time

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

series8.0ms (0.2%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
1.0ms	x	@	0	(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
1.0ms	x	@	inf	(+.f64 (*.f64 -1/2 x) (/.f64 1 x))

rewrite78.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`prod-diff`
1026×	`unpow-prod-down`
515×	`log1p-expm1-u`
515×	`expm1-log1p-u`
496×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	110	21
2	1460	21

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

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

simplify90.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

878×	`associate-+l+`
762×	`associate-+r+`
672×	`fma-neg`
518×	`unswap-sqr`
502×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	2810
1	452	2590
2	1178	2424
3	3981	2114

Stop Event

1×	node limit

Counts

71 → 85

Calls

Call 1

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

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

eval39.0ms (1.2%)

Compiler: Compiled 1643 to 1274 computations (22.5% saved)

prune15.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	85	4	89

Accuracy

100.0%

Counts

89 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.7%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
✓	99.8%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

Compiler

Compiled 91 to 66 computations (27.5% saved)

regimes14.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	x

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes2.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	124
1	35	124
2	42	124
3	46	124
4	48	124

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 36 to 27 computations (25% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess42.0ms (1.3%)

Compiler: Compiled 96 to 70 computations (27.1% saved)

analyze62.0ms (1.9%)

sample1.8s (54.2%)

preprocess402.0ms (12.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize159.0ms (4.9%)

series11.0ms (0.3%)

rewrite218.0ms (6.7%)

simplify106.0ms (3.3%)

eval86.0ms (2.7%)

prune27.0ms (0.8%)

localize117.0ms (3.6%)

series8.0ms (0.2%)

rewrite78.0ms (2.4%)

simplify90.0ms (2.8%)

eval39.0ms (1.2%)

prune15.0ms (0.5%)

regimes14.0ms (0.4%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess42.0ms (1.3%)

Profiling