Metrics for sqrt times

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample723.0ms (25.6%)

Results

710.0ms	8256×	body	256	valid
1.0ms	12×	body	256	invalid

Bogosity

preprocess15.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

20×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
6×	`*-commutative`
6×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	24	48
2	34	46
3	47	46
4	55	46
5	66	46
6	79	46
7	83	46

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.2%)

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))

eval1.0ms (0%)

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

prune1.0ms (0%)

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

99.3%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 16 to 12 computations (25% saved)

localize30.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 20 to 13 computations (35% saved)

series80.0ms (2.8%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
79.0ms	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))

rewrite132.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`pow1`
1522×	`add-exp-log`
1520×	`log1p-expm1-u`
1520×	`expm1-log1p-u`
1490×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	184	17
2	2206	17

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1228×	`fma-def`
872×	`log-prod`
484×	`unswap-sqr`
466×	`exp-sum`
460×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	534
1	164	462
2	556	390
3	2576	382
4	7209	382

Stop Event

1×	node limit

Counts

22 → 33

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 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x -1) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -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 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 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 (.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 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x))))
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x -1) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))

eval7.0ms (0.3%)

Compiler: Compiled 332 to 258 computations (22.3% saved)

prune13.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	7	34

Accurracy

100.0%

Counts

34 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
▶	98.5%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
▶	98.8%	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
▶	98.1%	(-.f64 x 1/2)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	54.4%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	96.9%	x
▶	54.1%	(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
▶	98.5%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
▶	98.8%	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
▶	98.1%	(-.f64 x 1/2)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	54.4%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	96.9%	x

Compiler

Compiled 192 to 138 computations (28.1% saved)

localize151.0ms (5.4%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))
✓	99.3%	(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
✓	54.4%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓	100.0%	(-.f64 (*.f64 x x) x)
✓	54.4%	(sqrt.f64 (-.f64 (*.f64 x x) x))
✓	100.0%	(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
✓	98.9%	(/.f64 1/16 (*.f64 x x))

Compiler

Compiled 111 to 64 computations (42.3% saved)

series6.0ms (0.2%)

Counts

7 → 76

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
1.0ms	x	@	0	(/.f64 1/16 (*.f64 x x))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)
0.0ms	x	@	0	(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))

rewrite116.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`fma-def`
616×	`expm1-udef`
610×	`log1p-udef`
586×	`fma-neg`
402×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	123
1	436	117
2	5726	111

Stop Event

1×	node limit

Counts

7 → 394

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/16 x) x))) 1)
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 1/16 x) x) 1)
(*.f64 1 (/.f64 (/.f64 1/16 x) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/16 x) x)) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 1/16 x) x)))
(*.f64 (/.f64 1/4 x) (/.f64 1/4 x))
(.f64 -1/16 (/.f64 1 (.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) 1/16)
(*.f64 (/.f64 1/16 x) (/.f64 1 x))
(pow.f64 (/.f64 (/.f64 1/16 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1/16 x) x)) 3)
(pow.f64 (/.f64 1/4096 (pow.f64 x 6)) 1/3)
(pow.f64 (/.f64 1/4 x) 2)
(pow.f64 (/.f64 x (/.f64 1/16 x)) -1)
(sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 (/.f64 1/16 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/16 x) x))))
(cbrt.f64 (/.f64 1/4096 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/16 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 1/16 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 1/16 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/16 x) x)))
(-.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 (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 (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 (hypot.f64 (/.f64 1/4 x) (sqrt.f64 (/.f64 1/8 x))) (hypot.f64 (/.f64 1/4 x) (sqrt.f64 (/.f64 1/8 x))))
(.f64 (fma.f64 1/16 x (.f64 (*.f64 x x) 1/8)) (/.f64 1 (pow.f64 x 3)))
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(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) 1)
(.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 1 1/2) (pow.f64 (.f64 x (+.f64 x -1)) 1/4))
(*.f64 (pow.f64 (sqrt.f64 x) 1/2) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 3)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4) 2)
(fabs.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))

simplify205.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-neg`
628×	`associate-r`
624×	`fma-def`
610×	`log-prod`
592×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	727	13464
1	1712	12420
2	5412	12252

Stop Event

1×	node limit

Counts

470 → 480

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)))
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))
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)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2) x)) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2) x)) (+.f64 (.f64 (+.f64 (.f64 -3/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 1/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (pow.f64 x 2)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2) x)) (+.f64 (.f64 (+.f64 (.f64 -3/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 1/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (pow.f64 x 2)) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2) (.f64 (+.f64 (.f64 3/64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 -7/64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (pow.f64 x 3)))))
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)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) x)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) x)) (+.f64 (.f64 -3/32 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 x 2))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) x)) (+.f64 (.f64 -3/32 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 -7/128 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 x 3))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 x))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -3/32 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -3/32 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (.f64 -7/128 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/16 x) x))) 1)
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 1/16 x) x) 1)
(*.f64 1 (/.f64 (/.f64 1/16 x) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/16 x) x)) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 1/16 x) x)))
(*.f64 (/.f64 1/4 x) (/.f64 1/4 x))
(.f64 -1/16 (/.f64 1 (.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) 1/16)
(*.f64 (/.f64 1/16 x) (/.f64 1 x))
(pow.f64 (/.f64 (/.f64 1/16 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1/16 x) x)) 3)
(pow.f64 (/.f64 1/4096 (pow.f64 x 6)) 1/3)
(pow.f64 (/.f64 1/4 x) 2)
(pow.f64 (/.f64 x (/.f64 1/16 x)) -1)
(sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 (/.f64 1/16 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/16 x) x))))
(cbrt.f64 (/.f64 1/4096 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/16 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 1/16 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 1/16 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/16 x) x)))
(-.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 (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 (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 (hypot.f64 (/.f64 1/4 x) (sqrt.f64 (/.f64 1/8 x))) (hypot.f64 (/.f64 1/4 x) (sqrt.f64 (/.f64 1/8 x))))
(.f64 (fma.f64 1/16 x (.f64 (*.f64 x x) 1/8)) (/.f64 1 (pow.f64 x 3)))
(.f64 (+.f64 (/.f64 1/4096 (pow.f64 x 6)) (/.f64 1/512 (pow.f64 x 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 (/.f64 1/64 (.f64 x x)) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1 (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x)))
(/.f64 1 (/.f64 (pow.f64 x 3) (fma.f64 1/16 x (.f64 (.f64 x x) 1/8))))
(/.f64 1 (/.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 1/4096 (pow.f64 x 6)) (/.f64 1/512 (pow.f64 x 3)))))
(/.f64 1 (/.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 (fma.f64 1/16 x (.f64 (.f64 x x) 1/8)) (pow.f64 x 3))
(/.f64 (+.f64 (/.f64 1/4096 (pow.f64 x 6)) (/.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 1/4096 (pow.f64 x 6)) (/.f64 1/512 (pow.f64 x 3))) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (-.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 1/128 (pow.f64 x 3)))))
(/.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 (fma.f64 1/16 (.f64 x 8) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x 8)))
(/.f64 (fma.f64 1/16 (neg.f64 x) (.f64 (.f64 x x) -1/8)) (.f64 (.f64 x x) (neg.f64 x)))
(/.f64 (+.f64 x (.f64 (/.f64 x (/.f64 1/16 x)) 1/8)) (.f64 (/.f64 x (/.f64 1/16 x)) x))
(/.f64 (fma.f64 x 8 (.f64 (/.f64 x (/.f64 1/16 x)) 1)) (.f64 (/.f64 x (/.f64 1/16 x)) (*.f64 x 8)))
(/.f64 (fma.f64 x -1 (.f64 (/.f64 x (/.f64 1/16 x)) -1/8)) (.f64 (/.f64 x (/.f64 1/16 x)) (neg.f64 x)))
(/.f64 (fma.f64 -1/16 x (.f64 (.f64 x (neg.f64 x)) 1/8)) (.f64 (.f64 x (neg.f64 x)) x))
(/.f64 (fma.f64 -1/16 (.f64 x 8) (.f64 (.f64 x (neg.f64 x)) 1)) (.f64 (.f64 x (neg.f64 x)) (.f64 x 8)))
(/.f64 (fma.f64 -1/16 (neg.f64 x) (.f64 (.f64 x (neg.f64 x)) -1/8)) (.f64 (.f64 x (neg.f64 x)) (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 1/16 x) x (.f64 x 1/8)) (.f64 x x))
(/.f64 (fma.f64 (/.f64 1/16 x) (.f64 x 8) x) (.f64 x (*.f64 x 8)))
(/.f64 (fma.f64 (/.f64 1/16 x) (neg.f64 x) (.f64 x -1/8)) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 1/8 (/.f64 x (/.f64 1/16 x)) x) (*.f64 x (/.f64 x (/.f64 1/16 x))))
(/.f64 (fma.f64 1/8 (.f64 x (neg.f64 x)) (.f64 x -1/16)) (.f64 x (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 1/8 x (.f64 x (/.f64 1/16 x))) (.f64 x x))
(/.f64 (fma.f64 x x (.f64 (.f64 x 8) 1/16)) (.f64 (.f64 x 8) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) 16 (.f64 (.f64 x 8) 1)) (.f64 (*.f64 x 8) (/.f64 x (/.f64 1/16 x))))
(/.f64 (fma.f64 x (neg.f64 x) (.f64 (.f64 x 8) -1/16)) (.f64 (.f64 x 8) (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 x (.f64 (.f64 x 8) (/.f64 1/16 x))) (.f64 (.f64 x 8) x))
(/.f64 (fma.f64 -1/8 (.f64 x x) (.f64 (neg.f64 x) 1/16)) (.f64 (neg.f64 x) (.f64 x x)))
(/.f64 (fma.f64 -1/8 (/.f64 x (/.f64 1/16 x)) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (/.f64 x (/.f64 1/16 x))))
(/.f64 (fma.f64 -1/8 (.f64 x (neg.f64 x)) (.f64 (neg.f64 x) -1/16)) (.f64 (neg.f64 x) (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 -1/8 x (.f64 (neg.f64 x) (/.f64 1/16 x))) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 1/16 x (.f64 (.f64 x x) 1/8))) (neg.f64 (pow.f64 x 3)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/4096 (pow.f64 x 6)) (/.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 (neg.f64 (-.f64 (/.f64 1/64 (*.f64 x x)) (/.f64 1/256 (pow.f64 x 4)))) (neg.f64 (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x)))
(/.f64 (-.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 1/64 (*.f64 x x))) (-.f64 (/.f64 (/.f64 1/16 x) x) (/.f64 1/8 x)))
(/.f64 (/.f64 (fma.f64 1/16 x (.f64 (.f64 x x) 1/8)) x) (*.f64 x x))
(pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 1)
(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)
(pow.f64 (hypot.f64 (/.f64 1/4 x) (sqrt.f64 (/.f64 1/8 x))) 2)
(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)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (/.f64 1/16 x) x)) (+.f64 1 (expm1.f64 (/.f64 1/8 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/16 x) x))) (exp.f64 (/.f64 1/8 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/16 x) x))) (+.f64 1 (expm1.f64 (/.f64 1/8 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1/8 x)) (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/16 x) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/8 x))) (exp.f64 (/.f64 (/.f64 1/16 x) x))))
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(fma.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) x) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x -1)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x -1)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 x -1)) (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 x -1)) (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 x -1)) (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1) (.f64 x x))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (fma.f64 x x x)) (+.f64 (neg.f64 x) x))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (.f64 x x))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (+.f64 x -1) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (*.f64 (+.f64 x -1) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (*.f64 (+.f64 x -1) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (neg.f64 x) x))
(fma.f64 (.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (cbrt.f64 (.f64 x (+.f64 x -1)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (cbrt.f64 (.f64 x (+.f64 x -1)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (cbrt.f64 (.f64 x (+.f64 x -1)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (.f64 x (+.f64 x -1))))
(.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4) (.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(.f64 (.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4)) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1/2))
(.f64 (.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (hypot.f64 (*.f64 x x) (hypot.f64 x (pow.f64 x 3/2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (.f64 x (+.f64 x -1))))
(.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))
(.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4) (.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(.f64 (.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4)) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1/2))
(.f64 (.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3))) (hypot.f64 (*.f64 x x) (hypot.f64 x (pow.f64 x 3/2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (hypot.f64 x (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) 1)
(.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4) (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (+.f64 x -1))))
(.f64 (pow.f64 1 1/2) (pow.f64 (.f64 x (+.f64 x -1)) 1/4))
(*.f64 (pow.f64 (sqrt.f64 x) 1/2) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)) 3)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1/4) 2)
(fabs.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4)))

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

eval148.0ms (5.3%)

Compiler: Compiled 7958 to 4905 computations (38.4% saved)

prune63.0ms (2.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	479	1	480
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	480	7	487

Accurracy

100.0%

Counts

487 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	98.5%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	98.8%	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
✓	98.1%	(-.f64 x 1/2)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	54.4%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	96.9%	x
▶	54.1%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	98.5%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	98.8%	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
✓	98.1%	(-.f64 x 1/2)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	54.4%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	96.9%	x

Compiler

Compiled 106 to 76 computations (28.3% saved)

localize47.0ms (1.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.3%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	53.1%	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)

Compiler

Compiled 30 to 22 computations (26.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
0.0ms	x	@	0	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
0.0ms	x	@	-inf	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
0.0ms	x	@	inf	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
0.0ms	x	@	inf	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)

rewrite68.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`pow1`
1838×	`add-exp-log`
1836×	`log1p-expm1-u`
1836×	`expm1-log1p-u`
210×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	227	36
2	2638	36

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)

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

simplify76.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1234×	`associate-r`
1138×	`associate-l`
1034×	`fma-def`
814×	`distribute-rgt-in`
792×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	2970
1	454	2764
2	1174	2270
3	4925	2090

Stop Event

1×	node limit

Counts

72 → 153

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) x)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) x)) (+.f64 (.f64 -3/32 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 x 2))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) x)) (+.f64 (.f64 -3/32 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 -7/128 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 x 3))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 x))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -3/32 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -3/32 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (.f64 -7/128 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2) x)) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2) x)) (+.f64 (.f64 (+.f64 (.f64 -3/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 1/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (pow.f64 x 2)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2) x)) (+.f64 (.f64 (+.f64 (.f64 -3/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 1/16 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (pow.f64 x 2)) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2) (.f64 (+.f64 (.f64 3/64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) (.f64 -7/64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2))) (pow.f64 x 3)))))
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 (+.f64 1 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)) 1)
(*.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4) 1)
(*.f64 1 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 x 1/4))
(*.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/8) (pow.f64 (fma.f64 x x (neg.f64 x)) 1/8))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))))))
(*.f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))) 1/4) (pow.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))) 1/4))
(sqrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))))
(fabs.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)))
(cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)))
(exp.f64 (*.f64 1/4 (log.f64 (fma.f64 x x (neg.f64 x)))))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) 1)
(*.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4) (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4))
(*.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) (cbrt.f64 (fma.f64 x x (neg.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)) (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)))
(.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/8) (.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/8) (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)))
(.f64 (.f64 (pow.f64 x 1/4) (pow.f64 x 1/4)) (*.f64 (pow.f64 (+.f64 x -1) 1/4) (pow.f64 (+.f64 x -1) 1/4)))
(.f64 (.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4) (pow.f64 (fma.f64 x x (neg.f64 x)) 1/8)) (pow.f64 (fma.f64 x x (neg.f64 x)) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x (neg.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) 1/2))
(*.f64 (pow.f64 (pow.f64 x 1/4) 2) (pow.f64 (pow.f64 (+.f64 x -1) 1/4) 2))
(.f64 (.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))))) (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)))
(.f64 (.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 x -1) 1/4))
(sqrt.f64 (fma.f64 x x (neg.f64 x)))
(fabs.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))

Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))
(*.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4))
(pow.f64 (neg.f64 x) 1/4)
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) x)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))))
(fma.f64 -1/4 (*.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))))
(.f64 (+.f64 (.f64 x -1/4) 1) (*.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)))
(.f64 (+.f64 (.f64 x -1/4) 1) (pow.f64 (neg.f64 x) 1/4))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) x)) (+.f64 (.f64 -3/32 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 x 2))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x))))))
(fma.f64 -1/4 (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (fma.f64 -3/32 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (*.f64 x x)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))))
(fma.f64 (pow.f64 -1 1/4) (pow.f64 x 1/4) (.f64 (.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) (+.f64 (.f64 x -1/4) (.f64 x (*.f64 x -3/32)))))
(+.f64 (pow.f64 (neg.f64 x) 1/4) (.f64 (pow.f64 (neg.f64 x) 1/4) (+.f64 (.f64 x -1/4) (.f64 x (.f64 x -3/32)))))
(+.f64 (.f64 -1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) x)) (+.f64 (.f64 -3/32 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 x 2))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 -7/128 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) (pow.f64 x 3))))))
(fma.f64 -1/4 (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (fma.f64 -3/32 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (.f64 x x)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 -7/128 (*.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (pow.f64 x 3)))))
(fma.f64 -1/4 (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x)))) (fma.f64 -3/32 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (.f64 x x)) (fma.f64 -7/128 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))))))
(+.f64 (.f64 (+.f64 (.f64 -7/128 (pow.f64 x 3)) 1) (.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4))) (.f64 (.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) (+.f64 (.f64 x -1/4) (.f64 x (.f64 x -3/32)))))
(+.f64 (.f64 (+.f64 (.f64 x -1/4) 1) (pow.f64 (neg.f64 x) 1/4)) (.f64 (pow.f64 (neg.f64 x) 1/4) (+.f64 (.f64 x (.f64 x -3/32)) (.f64 -7/128 (pow.f64 x 3)))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 x) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 x)))
(+.f64 (.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 x))) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (sqrt.f64 x) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 x)))
(fma.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 -1))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (.f64 (sqrt.f64 x) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 -3/32 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 x))))
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(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) x))) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x (neg.f64 x))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 x))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) x))) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) x)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
(*.f64 (pow.f64 (pow.f64 x 1/4) 2) (pow.f64 (pow.f64 (+.f64 x -1) 1/4) 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 x)))
(.f64 (.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))))) (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) (.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4) (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4))))
(.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4)) (.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) x))) (.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4))))
(.f64 (.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 x -1) 1/4))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) 1/4) (pow.f64 (+.f64 -1 x) 1/4)))
(.f64 (pow.f64 (-.f64 (.f64 x x) x) 1/4) (*.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 -1 x) 1/4)))
(sqrt.f64 (fma.f64 x x (neg.f64 x)))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(fabs.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x))) 3))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (neg.f64 x))) 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) 1))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x (neg.f64 x)))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x (neg.f64 x)))) -1)
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)
(sqrt.f64 (-.f64 (*.f64 x x) x))

eval51.0ms (1.8%)

Compiler: Compiled 2685 to 1729 computations (35.6% saved)

prune21.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	153	7	160

Accurracy

100.0%

Counts

160 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
✓	98.5%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	98.8%	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
✓	98.1%	(-.f64 x 1/2)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	54.4%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	96.9%	x
▶	53.8%	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
✓	98.5%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	98.8%	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
✓	98.1%	(-.f64 x 1/2)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	54.4%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	96.9%	x

Compiler

Compiled 104 to 72 computations (30.8% saved)

localize33.0ms (1.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(-.f64 (*.f64 x x) x)
✓	99.6%	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
✓	53.0%	(cbrt.f64 (-.f64 (*.f64 x x) x))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
0.0ms	x	@	0	(cbrt.f64 (-.f64 (*.f64 x x) x))
0.0ms	x	@	inf	(cbrt.f64 (-.f64 (*.f64 x x) x))

rewrite61.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`pow1`
1678×	`add-exp-log`
1678×	`log1p-expm1-u`
1678×	`expm1-log1p-u`
1640×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	193	34
2	2473	34

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 (*.f64 x x) x))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)

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

simplify65.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1092×	`fma-def`
728×	`log-prod`
672×	`exp-prod`
566×	`exp-sum`
522×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1193
1	176	993
2	503	801
3	2065	791
4	5208	791

Stop Event

1×	node limit

Counts

37 → 47

Calls

Call 1

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

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

eval285.0ms (10.1%)

Compiler: Compiled 3992 to 2097 computations (47.5% saved)

prune40.0ms (1.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	248	7	255

Accurracy

100.0%

Counts

255 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.8%	(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
✓	98.5%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	98.8%	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
✓	98.1%	(-.f64 x 1/2)
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	54.4%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	96.9%	x

Compiler

Compiled 116 to 77 computations (33.6% saved)

regimes14.0ms (0.5%)

Counts

9 → 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 x) (/.f64 1/16 (*.f64 x x))))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 3/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)

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

Calls

2 calls:

6.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
5.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 74 to 48 computations (35.1% saved)

regimes5.0ms (0.2%)

Counts

5 → 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 x) (/.f64 1/16 (*.f64 x x))))
(sqrt.f64 (-.f64 (*.f64 x x) x))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 33 to 20 computations (39.4% 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
98.5%	1	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes35.0ms (1.2%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)

Outputs
(-.f64 x 1/2)

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

44×	`unsub-neg`
34×	`neg-mul-1`
28×	`+-commutative`
26×	`*-commutative`
22×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	85
1	34	85
2	52	85
3	71	85
4	99	85
5	145	85
6	155	85
7	156	85

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness205.0ms (7.2%)

Rules

1228×	`fma-def`
1228×	`fma-def`
872×	`log-prod`
872×	`log-prod`
484×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	534
1	164	462
2	556	390
3	2576	382
4	7209	382
0	65	534
1	164	462
2	556	390
3	2576	382
4	7209	382

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 439 to 368 computations (16.2% saved)

end0.0ms (0%)

preprocess39.0ms (1.4%)

Compiler: Compiled 80 to 56 computations (30% saved)

analyze2.0ms (0.1%)

sample723.0ms (25.6%)

preprocess15.0ms (0.5%)

simplify7.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize30.0ms (1.1%)

series80.0ms (2.8%)

rewrite132.0ms (4.7%)

simplify61.0ms (2.2%)

eval7.0ms (0.3%)

prune13.0ms (0.5%)

localize151.0ms (5.4%)

series6.0ms (0.2%)

rewrite116.0ms (4.1%)

simplify205.0ms (7.2%)

eval148.0ms (5.3%)

prune63.0ms (2.2%)

localize47.0ms (1.7%)

series1.0ms (0%)

rewrite68.0ms (2.4%)

simplify76.0ms (2.7%)

eval51.0ms (1.8%)

prune21.0ms (0.7%)

localize33.0ms (1.2%)

series4.0ms (0.1%)

rewrite61.0ms (2.2%)

simplify65.0ms (2.3%)

eval285.0ms (10.1%)

prune40.0ms (1.4%)

regimes14.0ms (0.5%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes35.0ms (1.2%)

regimes3.0ms (0.1%)

simplify8.0ms (0.3%)

soundness205.0ms (7.2%)

end0.0ms (0%)

preprocess39.0ms (1.4%)

Profiling