Details

analyze3.0ms (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%	50%	0%	0%	50%	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 9 to 7 computations (22.2% saved)

sample721.0ms (25.1%)

Results

709.0ms	8256×	body	256	valid
1.0ms	10×	body	256	invalid

Bogosity

preprocess531.0ms (18.5%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`*-commutative`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	15	21
2	16	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`*-commutative`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	15	21
2	16	21

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

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

eval0.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

prune128.0ms (4.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

99.2%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite177.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`add-sqr-sqrt`
1648×	`*-un-lft-identity`
1532×	`add-cube-cbrt`
1516×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	182	17
2	2192	17

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))))

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Rules

942×	`fma-def`
782×	`distribute-lft-in`
696×	`distribute-rgt-in`
654×	`*-commutative`
648×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	366
1	157	366
2	566	366
3	2852	358

Stop Event

1×	node limit

Counts

22 → 31

Calls

Call 1

Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) 1/3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))

Outputs
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
(+.f64 x (+.f64 -1/2 (+.f64 (/.f64 -1/8 x) (/.f64 -1/16 (*.f64 x x)))))
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
x
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(-.f64 x 1/2)
(+.f64 x -1/2)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
(+.f64 x (+.f64 -1/2 (+.f64 (/.f64 -1/8 x) (/.f64 -1/16 (*.f64 x x)))))
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) 1/3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) 1))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (*.f64 x x) x))

eval25.0ms (0.9%)

Compiler: Compiled 314 to 244 computations (22.3% saved)

prune5.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	5	32

Accurracy

100.0%

Counts

32 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
▶	99.7%	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
▶	99.1%	(-.f64 x 1/2)
▶	47.3%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	97.7%	x

Compiler

Compiled 35 to 24 computations (31.4% saved)

localize5.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) x)
✓	51.0%	(sqrt.f64 (-.f64 (*.f64 x x) x))

Compiler

Compiled 16 to 4 computations (75% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (*.f64 x x) x)
0.0ms	x	@	inf	(-.f64 (*.f64 x x) x)
0.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) x))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 (*.f64 x x) x))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) x))

rewrite61.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`add-sqr-sqrt`
1512×	`*-un-lft-identity`
1416×	`add-cube-cbrt`
1406×	`add-cbrt-cube`
1396×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	149	30
2	1999	30

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 (.f64 x x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (pow.f64 (-.f64 (.f64 x x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) x))) (cbrt.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 x x))) (sqrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 x x) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 x x) x)) (sqrt.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (sqrt.f64 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) x))) (sqrt.f64 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 2) (cbrt.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) (pow.f64 (-.f64 (.f64 x x) x) 1/4)) (pow.f64 (-.f64 (.f64 x x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) (cbrt.f64 (-.f64 (.f64 x x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x 4) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 x x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 x x))) (neg.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (.f64 x x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 x x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) (cbrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 (-.f64 (*.f64 x x) x) 1/4)) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (-.f64 (*.f64 x x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))))))

simplify79.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1236×	`fma-def`
912×	`associate-+r-`
896×	`associate-+l-`
848×	`associate--r+`
614×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2098
1	415	1866
2	1621	1760
3	5953	1760

Stop Event

1×	node limit

Counts

86 → 112

Calls

Call 1

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

Outputs
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(+.f64 x (+.f64 -1/2 (/.f64 -1/8 x)))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
(-.f64 x (+.f64 (+.f64 1/2 (/.f64 1/8 x)) (/.f64 1/16 (*.f64 x x))))
(+.f64 x (-.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 1/16 (*.f64 x x))))
(+.f64 x (+.f64 -1/2 (-.f64 (/.f64 -1/8 x) (/.f64 1/16 (*.f64 x x)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1 x (/.f64 1/8 x)))
(+.f64 1/2 (-.f64 (/.f64 1/8 x) x))
(-.f64 1/2 (+.f64 x (/.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1 x (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))
(+.f64 (+.f64 1/2 (-.f64 (/.f64 1/8 x) x)) (/.f64 1/16 (*.f64 x x)))
(+.f64 (+.f64 1/2 (/.f64 1/8 x)) (-.f64 (/.f64 1/16 (*.f64 x x)) x))
(+.f64 (/.f64 1/8 x) (+.f64 (/.f64 1/16 (*.f64 x x)) (-.f64 1/2 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(.f64 1 (sqrt.f64 (-.f64 (.f64 x x) x)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) x))) (cbrt.f64 (-.f64 (*.f64 x x) x)))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 x x) x)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (hypot.f64 x (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4))))
(/.f64 (hypot.f64 (pow.f64 x 3) (pow.f64 (neg.f64 x) 3/2)) (sqrt.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4))))
(pow.f64 (-.f64 (*.f64 x x) x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) x))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(+.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (.f64 x x) (.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(+.f64 (neg.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(*.f64 x (-.f64 x 1))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(.f64 (-.f64 (.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) (sqrt.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(.f64 1 (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) x))))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) x))) (sqrt.f64 (-.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 4))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 4))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 1) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) (pow.f64 (-.f64 (.f64 x x) x) 1/4)) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) (cbrt.f64 (-.f64 (.f64 x x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 4))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 4))
(*.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(/.f64 1 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 1) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))) (-.f64 (pow.f64 x 6) (pow.f64 x 3))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 1) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x x) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 1) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 x x) (neg.f64 x)))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 1) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x)))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 2)
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3)
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2) 1/2)
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) 1/3)
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) x)) 1))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(fma.f64 x x (neg.f64 x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(fma.f64 1 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 x))

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize48.0ms (1.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
✓	98.6%	(/.f64 1/16 (*.f64 x x))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1/16 (*.f64 x x))
0.0ms	x	@	0	(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 1/16 (*.f64 x x))
0.0ms	x	@	inf	(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
0.0ms	x	@	-inf	(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))

rewrite147.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`associate-/r*`
970×	`*-commutative`
520×	`swap-sqr`
462×	`associate-/l*`
436×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	214	34
2	3093	34

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

Inputs
(/.f64 1/16 (*.f64 x x))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/16 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/16 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1/16 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/16 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/16 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) -1/16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 16) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/16 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/16 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 x -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2)))) (-.f64 1 (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/8 x))) (-.f64 1 (*.f64 1/16 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x)) (/.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/16 (pow.f64 x -2)) (exp.f64 (log1p.f64 (/.f64 1/8 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/8 x) (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 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1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 1/16 x))) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (*.f64 (*.f64 (*.f64 x x) 16) -1/8) x)) (*.f64 (*.f64 (*.f64 x x) 16) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (*.f64 x -1/8) (*.f64 x (/.f64 1/16 x)))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (*.f64 (*.f64 x (neg.f64 x)) -1/8) (*.f64 x -1/16))) (neg.f64 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (*.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) (-.f64 (*.f64 (/.f64 1/8 x) (/.f64 1/512 (pow.f64 x 3))) (*.f64 (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))) 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((x /.f64 (/.f64 (+.f64 (*.f64 x -1/8) (*.f64 (/.f64 1/16 x) (neg.f64 x))) (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x -1/8) (*.f64 (/.f64 1/16 x) (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x -1/8) (*.f64 (/.f64 1/16 x) (neg.f64 x))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x -1/8) (*.f64 (/.f64 1/16 x) (neg.f64 x))) -1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x -1/8) (*.f64 (/.f64 1/16 x) (neg.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (neg.f64 x)) -1/8) (*.f64 -1/16 (neg.f64 x))) (neg.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> 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(pow.f64 x -2) (/.f64 1/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 (/.f64 1 x) (*.f64 1/16 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/16 (pow.f64 x -2)) (/.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/8 x) (*.f64 1/16 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/8 x)) (sqrt.f64 (/.f64 1/8 x)) (*.f64 1/16 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 x) (/.f64 1/4 x) (/.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/8 x)) 2) (cbrt.f64 (/.f64 1/8 x)) (*.f64 1/16 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) (/.f64 1/8 x))))))

simplify148.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

656×	`associate-r`
646×	`associate-/r*`
598×	`distribute-lft-neg-in`
576×	`*-commutative`
512×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	9021
1	1451	7731
2	5804	7687

Stop Event

1×	node limit

Counts

201 → 285

Calls

Call 1

Inputs
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(/.f64 1/8 x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(/.f64 1/8 x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2)))) 1)
(*.f64 1/16 (pow.f64 x -2))
(.f64 (.f64 1/16 (pow.f64 x -2)) 1)
(.f64 1 (.f64 1/16 (pow.f64 x -2)))
(*.f64 (/.f64 1/4 x) (/.f64 1/4 x))
(.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (.f64 1/16 (pow.f64 x -2))))
(*.f64 (/.f64 1/16 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 1/16)
(*.f64 (/.f64 1 x) (/.f64 1/16 x))
(*.f64 -1/16 (neg.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/16 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (pow.f64 x -2)) -1/16)
(pow.f64 (*.f64 1/16 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 1/4 x) 2)
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) 3)
(pow.f64 (.f64 (.f64 x x) 16) -1)
(pow.f64 (*.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)) 1/3)
(neg.f64 (/.f64 (/.f64 1/16 x) (neg.f64 x)))
(sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 x -2)))))
(cbrt.f64 (*.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/16 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2)))) (-.f64 1 (/.f64 1/8 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/8 x))) (-.f64 1 (*.f64 1/16 (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))) 1)
(-.f64 (/.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x)) (/.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x)))
(-.f64 (+.f64 (*.f64 1/16 (pow.f64 x -2)) (exp.f64 (log1p.f64 (/.f64 1/8 x)))) 1)
(-.f64 (+.f64 (/.f64 1/8 x) (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2))))) 1)
(*.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 1)
(*.f64 1 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))
(*.f64 (hypot.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 1/4 x)) (hypot.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 1/4 x)))
(*.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))) (pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))) 2) (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (*.f64 (/.f64 1 (+.f64 1/8 (/.f64 -1/16 x))) x))
(*.f64 (/.f64 1 x) (+.f64 (/.f64 1/16 x) 1/8))
(*.f64 (/.f64 1 x) (+.f64 1/8 (/.f64 1/16 x)))
(.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 (/.f64 1/64 (*.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))))))
(.f64 (.f64 x (+.f64 (*.f64 x 1/8) 1/16)) (/.f64 (pow.f64 x -2) x))
(.f64 (.f64 (/.f64 1 (+.f64 1/8 (/.f64 -1/16 x))) x) (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))))) (+.f64 (/.f64 1/512 (pow.f64 x 3)) (*.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))))
(.f64 (/.f64 (pow.f64 x -2) x) (.f64 x (+.f64 (*.f64 x 1/8) 1/16)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4)))) (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 -1/4096 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 1/128 (pow.f64 x 3)))))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (.f64 x (-.f64 (.f64 x 1/8) 1/16))) (pow.f64 x 3))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 1/8 (/.f64 -1/16 x))) x)
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (-.f64 (.f64 1/8 (.f64 (.f64 x x) 16)) x)) (.f64 x (.f64 (.f64 x x) 16)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (-.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x)))) (*.f64 x x))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (-.f64 (neg.f64 (.f64 x (.f64 x 1/8))) (*.f64 x -1/16))) (neg.f64 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (.f64 x x) (.f64 (.f64 x -8) 1/16))) (.f64 (.f64 x x) (.f64 x 8)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (-.f64 (.f64 (.f64 x x) 16) (.f64 x 8))) (.f64 (.f64 (.f64 x x) 16) (*.f64 x 8)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 x (.f64 (.f64 x -8) (/.f64 1/16 x)))) (.f64 x (.f64 x 8)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x -8) -1/16))) (.f64 (.f64 x 8) (.f64 x (neg.f64 x))))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (.f64 (.f64 x x) -1/8) (*.f64 1/16 x))) (neg.f64 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (.f64 (.f64 (.f64 x x) 16) -1/8) x)) (.f64 (.f64 (.f64 x x) 16) (neg.f64 x)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (.f64 x -1/8) (.f64 x (/.f64 1/16 x)))) (*.f64 x (neg.f64 x)))
(.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (.f64 (.f64 x (neg.f64 x)) -1/8) (*.f64 x -1/16))) (neg.f64 (neg.f64 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) (-.f64 (.f64 (/.f64 1/8 x) (/.f64 1/512 (pow.f64 x 3))) (.f64 (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))))) (+.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (/.f64 1/128 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (pow.f64 (/.f64 1/64 (.f64 x x)) 3) (pow.f64 (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))) 3))) (+.f64 (.f64 (/.f64 1/8 x) (/.f64 1/512 (pow.f64 x 3))) (.f64 (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))) (/.f64 1/64 (.f64 x x))))))
(/.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 1)
(/.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) (/.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x) (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x)))
(/.f64 1 (/.f64 1 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(/.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x))
(/.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))))
(/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))) (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))) (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (pow.f64 x 3))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4)))) (/.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x) (sqrt.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)))) (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (*.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (sqrt.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16))) (/.f64 (pow.f64 x 3) (sqrt.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4)))) (cbrt.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))))) (/.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x) (cbrt.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)))) (cbrt.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))))) (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (*.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16))) (cbrt.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)))) (/.f64 (pow.f64 x 3) (cbrt.f64 (.f64 x (+.f64 (*.f64 x 1/8) 1/16)))))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) x) (*.f64 x x))
(/.f64 (-.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 1/64 (.f64 x x))) (+.f64 (.f64 1/16 (pow.f64 x -2)) (/.f64 -1/8 x)))
(/.f64 (-.f64 (.f64 (/.f64 1/512 (pow.f64 x 3)) (/.f64 1/512 (pow.f64 x 3))) (.f64 1/16777216 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))) (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 -1/4096 (pow.f64 (pow.f64 x -2) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x x) 1/256)) (.f64 (pow.f64 x 3) (.f64 x (-.f64 (.f64 x 1/8) 1/16))))
(/.f64 (-.f64 (.f64 (/.f64 1/8 x) (/.f64 1/512 (pow.f64 x 3))) (.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 1/256 (pow.f64 x 4)))) (.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x) (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 1/256 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/512 (pow.f64 x 3)) 3) (pow.f64 (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)) 3)) (.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))) (+.f64 (.f64 (/.f64 1/512 (pow.f64 x 3)) (/.f64 1/512 (pow.f64 x 3))) (.f64 (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)) (-.f64 (*.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/512 (pow.f64 x 3)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/8)) 3) (pow.f64 (.f64 1/16 x) 3)) (.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 1/16 x) (-.f64 (.f64 1/16 x) (.f64 x (.f64 x 1/8)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/64 (.f64 x x)) 3) (pow.f64 (/.f64 1/256 (pow.f64 x 4)) 3)) (.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x) (+.f64 (.f64 (/.f64 1/8 x) (/.f64 1/512 (pow.f64 x 3))) (.f64 (/.f64 1/256 (pow.f64 x 4)) (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 1/256 (pow.f64 x 4)))))))
(/.f64 (+.f64 (.f64 x x) (.f64 1/16 (.f64 x 8))) (.f64 (.f64 x x) (.f64 x 8)))
(/.f64 (+.f64 (.f64 (.f64 x x) -1/8) (*.f64 1/16 (neg.f64 x))) (neg.f64 (pow.f64 x 3)))
(/.f64 (+.f64 x (.f64 1/8 (.f64 (.f64 x x) 16))) (.f64 x (.f64 (.f64 x x) 16)))
(/.f64 (+.f64 (.f64 (.f64 x x) 16) (.f64 x 8)) (.f64 (.f64 (.f64 x x) 16) (*.f64 x 8)))
(/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) 16) -1/8)) (.f64 (.f64 (.f64 x x) 16) (neg.f64 x)))
(/.f64 (+.f64 x (.f64 (/.f64 1/16 x) (.f64 x 8))) (.f64 x (.f64 x 8)))
(/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x 1/8))) (*.f64 x -1/16)) (neg.f64 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x 8) -1/16)) (.f64 (.f64 x 8) (.f64 x (neg.f64 x))))
(/.f64 (+.f64 (.f64 (.f64 x (neg.f64 x)) -1/8) (*.f64 -1/16 (neg.f64 x))) (neg.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (*.f64 x x))
(/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4)))) (/.f64 (neg.f64 (+.f64 1/8 (/.f64 -1/16 x))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16))) (neg.f64 (pow.f64 x 3)))
(/.f64 (/.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) 1) (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) 1) (pow.f64 x 3))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (sqrt.f64 x)) (.f64 (.f64 x x) (sqrt.f64 x)))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (pow.f64 (cbrt.f64 x) 2)) (.f64 (.f64 x x) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x))) (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x)))
(/.f64 (/.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x)) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x)))) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 -1/16 x)) x)))
(/.f64 (/.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (+.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 1/4 x))) (+.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 -1/4 x)))
(/.f64 (/.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) 1) (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) (sqrt.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))))) (sqrt.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))))))) (cbrt.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))))))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (*.f64 x x)) x)
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (cbrt.f64 (pow.f64 x 4))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (sqrt.f64 (pow.f64 x 3))) (sqrt.f64 (pow.f64 x 3)))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (.f64 x (sqrt.f64 x))) (.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (*.f64 x (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (.f64 (.f64 x x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) x) x) x)
(/.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) x) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) x) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) x) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 x x) (.f64 1/16 (.f64 x 8))) (.f64 x x)) (*.f64 x 8))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) -1/8) (.f64 1/16 (neg.f64 x))) (.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 x (.f64 1/8 (.f64 (.f64 x x) 16))) (.f64 (*.f64 x x) 16)) x)
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 16) (.f64 x 8)) (.f64 (.f64 x x) 16)) (.f64 x 8))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) 16) -1/8)) (.f64 (*.f64 x x) 16)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 x (.f64 (/.f64 1/16 x) (.f64 x 8))) x) (*.f64 x 8))
(/.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x 1/8))) (.f64 x -1/16)) (.f64 x (neg.f64 x))) x)
(/.f64 (/.f64 (+.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x 8) -1/16)) (.f64 x (neg.f64 x))) (*.f64 x 8))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x (neg.f64 x)) -1/8) (.f64 -1/16 (neg.f64 x))) (.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 x (.f64 1/8 (.f64 (.f64 x x) 16))) x) (.f64 (*.f64 x x) 16))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) x) x)
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) 1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x 1/8))) (.f64 x -1/16)) x) (.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x x) (.f64 1/16 (.f64 x 8))) (.f64 x 8)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 16) (.f64 x 8)) (.f64 x 8)) (.f64 (.f64 x x) 16))
(/.f64 (/.f64 (+.f64 x (.f64 (/.f64 1/16 x) (.f64 x 8))) (*.f64 x 8)) x)
(/.f64 (/.f64 (+.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x 8) -1/16)) (.f64 x 8)) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) -1/8) (.f64 1/16 (neg.f64 x))) (neg.f64 x)) (.f64 x x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) 16) -1/8)) (neg.f64 x)) (.f64 (*.f64 x x) 16))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) 1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (neg.f64 x)) x)
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (sqrt.f64 (.f64 x (neg.f64 x)))) (sqrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 (cbrt.f64 (.f64 x (neg.f64 x))) (cbrt.f64 (.f64 x (neg.f64 x))))) (cbrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) -1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x (neg.f64 x)) -1/8) (.f64 -1/16 (neg.f64 x))) (neg.f64 x)) (.f64 x (neg.f64 x)))
(pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 1)
(pow.f64 (hypot.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 1/4 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (/.f64 (neg.f64 (+.f64 1/8 (/.f64 -1/16 x))) x)))
(neg.f64 (/.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))))))
(neg.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (neg.f64 (pow.f64 x 3))))
(sqrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(exp.f64 (log.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 1/8 (/.f64 1 x) (*.f64 1/16 (pow.f64 x -2)))
(fma.f64 1 (*.f64 1/16 (pow.f64 x -2)) (/.f64 1/8 x))
(fma.f64 1 (/.f64 1/8 x) (*.f64 1/16 (pow.f64 x -2)))
(fma.f64 (sqrt.f64 (/.f64 1/8 x)) (sqrt.f64 (/.f64 1/8 x)) (*.f64 1/16 (pow.f64 x -2)))
(fma.f64 (/.f64 1/4 x) (/.f64 1/4 x) (/.f64 1/8 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/8 x)) 2) (cbrt.f64 (/.f64 1/8 x)) (*.f64 1/16 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) (/.f64 1/8 x))

Outputs
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
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(/.f64 (/.f64 (/.f64 (fma.f64 x 1/8 1/16) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) x) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (.f64 x (fma.f64 x 1/8 1/16)) (.f64 (.f64 x (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (fma.f64 x 1/8 1/16) (.f64 x (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (+.f64 (.f64 x x) (.f64 1/16 (.f64 x 8))) (.f64 x x)) (*.f64 x 8))
(/.f64 (fma.f64 x x (.f64 1/16 (.f64 x 8))) (*.f64 (pow.f64 x 3) 8))
(/.f64 (fma.f64 x x (.f64 x 1/2)) (.f64 (pow.f64 x 3) 8))
(/.f64 (.f64 x (+.f64 x 1/2)) (.f64 (pow.f64 x 3) 8))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) -1/8) (.f64 1/16 (neg.f64 x))) (.f64 x x)) (neg.f64 x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(/.f64 (/.f64 (+.f64 x (.f64 1/8 (.f64 (.f64 x x) 16))) (.f64 (*.f64 x x) 16)) x)
(/.f64 (+.f64 x (.f64 1/8 (.f64 (.f64 x x) 16))) (.f64 (pow.f64 x 3) 16))
(/.f64 (+.f64 x (.f64 2 (.f64 x x))) (*.f64 16 (pow.f64 x 3)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 16) (.f64 x 8)) (.f64 (.f64 x x) 16)) (.f64 x 8))
(/.f64 (fma.f64 (.f64 x x) 16 (.f64 x 8)) (.f64 (.f64 (pow.f64 x 3) 16) 8))
(/.f64 (.f64 x (+.f64 (.f64 x 16) 8)) (*.f64 (pow.f64 x 3) 128))
(/.f64 (.f64 x (+.f64 8 (.f64 x 16))) (*.f64 (pow.f64 x 3) 128))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) 16) -1/8)) (.f64 (*.f64 x x) 16)) (neg.f64 x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 x x) -2)) (neg.f64 (*.f64 (pow.f64 x 3) 16)))
(/.f64 (-.f64 (.f64 x (.f64 x -2)) x) (*.f64 (pow.f64 x 3) -16))
(/.f64 (/.f64 (+.f64 x (.f64 (/.f64 1/16 x) (.f64 x 8))) x) (*.f64 x 8))
(/.f64 (+.f64 x (.f64 (/.f64 1/16 x) (.f64 x 8))) (.f64 x (.f64 x 8)))
(/.f64 (/.f64 (+.f64 x 1/2) x) (*.f64 x 8))
(/.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x 1/8))) (.f64 x -1/16)) (.f64 x (neg.f64 x))) x)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(/.f64 (/.f64 (+.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x 8) -1/16)) (.f64 x (neg.f64 x))) (*.f64 x 8))
(/.f64 (fma.f64 x (neg.f64 x) (.f64 x -1/2)) (.f64 x (.f64 8 (.f64 x (neg.f64 x)))))
(/.f64 (.f64 x (+.f64 (neg.f64 x) -1/2)) (.f64 (neg.f64 (pow.f64 x 3)) 8))
(/.f64 (.f64 x (-.f64 -1/2 x)) (.f64 (pow.f64 x 3) -8))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x (neg.f64 x)) -1/8) (.f64 -1/16 (neg.f64 x))) (.f64 x (neg.f64 x))) (neg.f64 x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(/.f64 (/.f64 (+.f64 x (.f64 1/8 (.f64 (.f64 x x) 16))) x) (.f64 (*.f64 x x) 16))
(/.f64 (+.f64 x (.f64 1/8 (.f64 (.f64 x x) 16))) (.f64 (pow.f64 x 3) 16))
(/.f64 (+.f64 x (.f64 2 (.f64 x x))) (*.f64 16 (pow.f64 x 3)))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) x) x)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) 1) (*.f64 x x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (.f64 x (fma.f64 x 1/8 1/16)) (.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (fma.f64 x 1/8 1/16) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (.f64 x (fma.f64 x 1/8 1/16)) (.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (fma.f64 x 1/8 1/16) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (.f64 x (fma.f64 x 1/8 1/16)) (.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (fma.f64 x 1/8 1/16) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (.f64 x (fma.f64 x 1/8 1/16)) (.f64 (.f64 x (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (fma.f64 x 1/8 1/16) (.f64 x (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (.f64 x (fma.f64 x 1/8 1/16)) (.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (fma.f64 x 1/8 1/16) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 x 1/8) (.f64 x (/.f64 1/16 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (.f64 x (fma.f64 x 1/8 1/16)) (.f64 (.f64 x (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (fma.f64 x 1/8 1/16) (.f64 x (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x 1/8))) (.f64 x -1/16)) x) (.f64 x (neg.f64 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(/.f64 (/.f64 (+.f64 (.f64 x x) (.f64 1/16 (.f64 x 8))) (.f64 x 8)) (*.f64 x x))
(/.f64 (fma.f64 x x (.f64 1/16 (.f64 x 8))) (*.f64 (pow.f64 x 3) 8))
(/.f64 (fma.f64 x x (.f64 x 1/2)) (.f64 (pow.f64 x 3) 8))
(/.f64 (.f64 x (+.f64 x 1/2)) (.f64 (pow.f64 x 3) 8))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 16) (.f64 x 8)) (.f64 x 8)) (.f64 (.f64 x x) 16))
(/.f64 (fma.f64 (.f64 x x) 16 (.f64 x 8)) (.f64 (.f64 (pow.f64 x 3) 16) 8))
(/.f64 (.f64 x (+.f64 (.f64 x 16) 8)) (*.f64 (pow.f64 x 3) 128))
(/.f64 (.f64 x (+.f64 8 (.f64 x 16))) (*.f64 (pow.f64 x 3) 128))
(/.f64 (/.f64 (+.f64 x (.f64 (/.f64 1/16 x) (.f64 x 8))) (*.f64 x 8)) x)
(/.f64 (+.f64 x (.f64 (/.f64 1/16 x) (.f64 x 8))) (.f64 x (.f64 x 8)))
(/.f64 (/.f64 (+.f64 x 1/2) x) (*.f64 x 8))
(/.f64 (/.f64 (+.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x 8) -1/16)) (.f64 x 8)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x (neg.f64 x) (.f64 x -1/2)) (.f64 x (.f64 8 (.f64 x (neg.f64 x)))))
(/.f64 (.f64 x (+.f64 (neg.f64 x) -1/2)) (.f64 (neg.f64 (pow.f64 x 3)) 8))
(/.f64 (.f64 x (-.f64 -1/2 x)) (.f64 (pow.f64 x 3) -8))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) -1/8) (.f64 1/16 (neg.f64 x))) (neg.f64 x)) (.f64 x x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(/.f64 (/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) 16) -1/8)) (neg.f64 x)) (.f64 (*.f64 x x) 16))
(/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 x x) -2)) (neg.f64 (*.f64 (pow.f64 x 3) 16)))
(/.f64 (-.f64 (.f64 x (.f64 x -2)) x) (*.f64 (pow.f64 x 3) -16))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) x) (neg.f64 x))
(/.f64 (fma.f64 x -1/8 (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x -1/8 -1/16) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) 1) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x -1/8 (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x -1/8 -1/16) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (fma.f64 x -1/8 (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (fma.f64 x -1/8 -1/16) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (neg.f64 x)) x)
(/.f64 (fma.f64 x -1/8 (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x -1/8 -1/16) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (sqrt.f64 (.f64 x (neg.f64 x)))) (sqrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 x -1/8 (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x -1/8 -1/16) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 (cbrt.f64 (.f64 x (neg.f64 x))) (cbrt.f64 (.f64 x (neg.f64 x))))) (cbrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 x -1/8 (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x -1/8 -1/16) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) -1) (*.f64 x x))
(/.f64 (fma.f64 x -1/8 (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x -1/8 -1/16) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 x -1/8) (.f64 (/.f64 1/16 x) (neg.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (fma.f64 x -1/8 (.f64 (/.f64 1/16 x) (neg.f64 x))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (fma.f64 x -1/8 -1/16) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x (neg.f64 x)) -1/8) (.f64 -1/16 (neg.f64 x))) (neg.f64 x)) (.f64 x (neg.f64 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 1)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(pow.f64 (hypot.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 1/4 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))) 3)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(pow.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3) 1/3)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(neg.f64 (/.f64 (+.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 -1/256 (pow.f64 x 4))) (/.f64 (neg.f64 (+.f64 1/8 (/.f64 -1/16 x))) x)))
(.f64 (/.f64 (neg.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (/.f64 -1/256 (pow.f64 x 4)))) (+.f64 -1/8 (neg.f64 (/.f64 -1/16 x)))) x)
(.f64 x (/.f64 (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/64 (.f64 x x))) (+.f64 (/.f64 1/16 x) -1/8)))
(neg.f64 (/.f64 (+.f64 (/.f64 1/512 (pow.f64 x 3)) (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (+.f64 (.f64 1/4096 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/512 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x -2) 3) -1/4096) (/.f64 -1/512 (pow.f64 x 3))) (-.f64 (/.f64 -1/64 (.f64 x x)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x -2) 3) -1/4096) (/.f64 -1/512 (pow.f64 x 3))) (+.f64 (/.f64 -1/64 (.f64 x x)) (-.f64 (/.f64 -1/256 (pow.f64 x 4)) (/.f64 -1/128 (pow.f64 x 3)))))
(neg.f64 (/.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/16)) (neg.f64 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(sqrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 2))
(fabs.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))
(log.f64 (exp.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(cbrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(expm1.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(exp.f64 (log.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(log1p.f64 (expm1.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(fma.f64 1/8 (/.f64 1 x) (*.f64 1/16 (pow.f64 x -2)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(fma.f64 1 (*.f64 1/16 (pow.f64 x -2)) (/.f64 1/8 x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(fma.f64 1 (/.f64 1/8 x) (*.f64 1/16 (pow.f64 x -2)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(fma.f64 (sqrt.f64 (/.f64 1/8 x)) (sqrt.f64 (/.f64 1/8 x)) (*.f64 1/16 (pow.f64 x -2)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(fma.f64 (/.f64 1/4 x) (/.f64 1/4 x) (/.f64 1/8 x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/8 x)) 2) (cbrt.f64 (/.f64 1/8 x)) (*.f64 1/16 (pow.f64 x -2)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(fma.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) (/.f64 1/8 x))
(fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/8 x))

localize8.0ms (0.3%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

eval192.0ms (6.7%)

Compiler: Compiled 8857 to 5956 computations (32.8% saved)

prune105.0ms (3.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	396	1	397
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	397	5	402

Accurracy

100.0%

Counts

402 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (+.f64 x -1/2) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))
✓	99.4%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	99.1%	(-.f64 x 1/2)
✓	47.3%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	97.7%	x

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize13.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)

Compiler

Compiled 34 to 25 computations (26.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
0.0ms	x	@	0	(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
0.0ms	x	@	inf	(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)

rewrite83.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1842×	`add-cube-cbrt`
1826×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	184	19
2	2413	19

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (/.f64 1/16 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (*.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (*.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1/8 (/.f64 1/16 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 1) (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1/8 (/.f64 1/16 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))))

simplify52.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1864×	`associate-+r+`
1086×	`associate-+l+`
686×	`associate-*r/`
488×	`associate-*l/`
396×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1134
1	226	1122
2	899	894
3	4300	894

Stop Event

1×	node limit

Counts

44 → 43

Calls

Call 1

Inputs
(/.f64 1/16 (pow.f64 x 2))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(/.f64 1/8 x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(/.f64 1/8 x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) 1)
(*.f64 (+.f64 1/8 (/.f64 1/16 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (+.f64 1/8 (/.f64 1/16 x)))
(*.f64 (neg.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 1) (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 1/8 (/.f64 1/16 x))) -1)
(neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))

Outputs
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(/.f64 (/.f64 1/16 x) x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(/.f64 1/8 x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(/.f64 1/8 x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) 1)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (+.f64 1/8 (/.f64 1/16 x)) (/.f64 1 x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 1)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 1 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (/.f64 1 x) (+.f64 1/8 (/.f64 1/16 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (neg.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 1 (neg.f64 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (sqrt.f64 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 1) (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) x))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (sqrt.f64 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 1)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 3)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 3) 1/3)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(pow.f64 (/.f64 x (+.f64 1/8 (/.f64 1/16 x))) -1)
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) (neg.f64 x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 2))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(log.f64 (exp.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 3))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(exp.f64 (log.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 1))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))
(+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)

eval14.0ms (0.5%)

Compiler: Compiled 703 to 536 computations (23.8% saved)

prune6.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	43	5	48

Accurracy

100.0%

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(-.f64 (+.f64 x -1/2) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))
✓	99.4%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	99.1%	(-.f64 x 1/2)
✓	47.3%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	97.7%	x

Compiler

Compiled 33 to 23 computations (30.3% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(-.f64 (+.f64 x -1/2) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))
✓	99.4%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	99.1%	(-.f64 x 1/2)
✓	47.3%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	97.7%	x

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes12.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(-.f64 (+.f64 x -1/2) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Outputs
(-.f64 (+.f64 x -1/2) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))

Calls

2 calls:

5.0ms	x
5.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 59 to 39 computations (33.9% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))

Outputs
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.9b remaining (-143.3%)

Threshold costs -0.9b (-143.3%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)

Outputs
(-.f64 x 1/2)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
14×	`sub-neg`
8×	`neg-mul-1`
8×	`*-commutative`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	23	58
2	36	58
3	45	58
4	55	58
5	58	58
6	59	58

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x -1/2) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(-.f64 x 1/2)
x

Outputs
(-.f64 (+.f64 x -1/2) (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))
(+.f64 (+.f64 x -1/2) (/.f64 (+.f64 -1/8 (/.f64 -1/16 x)) x))
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(+.f64 (+.f64 x -1/2) (/.f64 -1/8 x))
(-.f64 x 1/2)
(+.f64 x -1/2)
x

Compiler

Compiled 26 to 19 computations (26.9% saved)

soundness175.0ms (6.1%)

Algorithm

2×	egg-herbie

Rules

942×	`fma-def`
782×	`distribute-lft-in`
696×	`distribute-rgt-in`
656×	`associate-r`
654×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	366
1	157	366
2	566	366
3	2852	358
0	512	9021
1	1451	7731
2	5804	7687

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 339 to 267 computations (21.2% saved)

end36.0ms (1.2%)

Compiler: Compiled 23 to 16 computations (30.4% saved)

Details

analyze3.0ms (0.1%)

sample721.0ms (25.1%)

preprocess531.0ms (18.5%)

simplify11.0ms (0.4%)

eval0.0ms (0%)

prune128.0ms (4.5%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite177.0ms (6.2%)

simplify58.0ms (2%)

eval25.0ms (0.9%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (2.1%)

simplify79.0ms (2.8%)

localize3.0ms (0.1%)

localize48.0ms (1.7%)

series1.0ms (0%)

rewrite147.0ms (5.1%)

simplify148.0ms (5.2%)

localize8.0ms (0.3%)

eval192.0ms (6.7%)

prune105.0ms (3.7%)

localize13.0ms (0.5%)

series1.0ms (0%)

rewrite83.0ms (2.9%)

simplify52.0ms (1.8%)

eval14.0ms (0.5%)

prune6.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes12.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify6.0ms (0.2%)

soundness175.0ms (6.1%)

end36.0ms (1.2%)

Profiling