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)

sample828.0ms (28.2%)

Results

817.0ms	8256×	body	256	valid
1.0ms	12×	body	256	invalid

Bogosity

preprocess105.0ms (3.6%)

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)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

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)

localize35.0ms (1.2%)

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)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite59.0ms (2%)

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)))))

simplify65.0ms (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 (0.2%)

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

prune44.0ms (1.5%)

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
▶	99.3%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
▶	99.1%	(-.f64 x 1/2)
▶	99.5%	(+.f64 x (+.f64 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	51.5%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
▶	48.1%	(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
	97.5%	x
▶	99.3%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
▶	99.1%	(-.f64 x 1/2)
▶	99.5%	(+.f64 x (+.f64 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶	51.5%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
▶	48.1%	(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
	97.5%	x

Compiler

Compiled 188 to 138 computations (26.6% saved)

localize167.0ms (5.7%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 x -1))
✓	91.2%	(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
✓	51.5%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓	100.0%	(*.f64 x (+.f64 x -1))
✓	51.5%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓	100.0%	(+.f64 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x)))
✓	98.4%	(/.f64 -1/16 (*.f64 x x))

Compiler

Compiled 114 to 74 computations (35.1% saved)

series3.0ms (0.1%)

Counts

7 → 72

Calls

21 calls:

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

rewrite192.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`log-prod`
1238×	`fma-def`
642×	`expm1-udef`
636×	`log1p-udef`
566×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	121
1	393	117
2	5215	111

Stop Event

1×	node limit

Counts

7 → 337

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 -1/16 (pow.f64 x -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/16 (pow.f64 x -2)))) 1)
(*.f64 -1/16 (pow.f64 x -2))
(.f64 (.f64 -1/16 (pow.f64 x -2)) 1)
(.f64 1 (.f64 -1/16 (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 -1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (.f64 -1/16 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 -1/16) x) (/.f64 (sqrt.f64 -1/16) 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 -1/16 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/16 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 -1/4096 (pow.f64 (pow.f64 x -2) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -1/16) x) 2)
(pow.f64 (.f64 (.f64 x x) -16) -1)
(sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/16 (pow.f64 x -2)))))
(cbrt.f64 (*.f64 -1/4096 (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/16 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -1/16 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/16 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/16 (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)) -1/2))) 1)
(-.f64 (/.f64 (/.f64 1/256 (pow.f64 x 4)) (-.f64 (fma.f64 -1/16 (pow.f64 x -2) 1/2) (/.f64 -1/8 x))) (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 -1/8 x)) 2) (-.f64 (fma.f64 -1/16 (pow.f64 x -2) 1/2) (/.f64 -1/8 x))))
(*.f64 (+.f64 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)) -1/2) 1)
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(+.f64 (neg.f64 x) (*.f64 x x))
(+.f64 0 (*.f64 x (+.f64 x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x -1)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 x x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x x) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -1)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (exp.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (exp.f64 (neg.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) x)))
(log.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (.f64 x x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) x)))
(log.f64 (.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1))))
(fma.f64 x x (neg.f64 x))
(fma.f64 x x (*.f64 (neg.f64 x) 1))
(fma.f64 x -1 (*.f64 x x))
(fma.f64 (*.f64 x x) 1 (neg.f64 x))
(fma.f64 (.f64 x x) 1 (.f64 (neg.f64 x) 1))
(fma.f64 -1 x (*.f64 x x))
(fma.f64 1 (*.f64 x x) (neg.f64 x))
(fma.f64 1 (.f64 x x) (.f64 (neg.f64 x) 1))
(fma.f64 1 (neg.f64 x) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 x) 1))
(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) -1) (.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 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.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 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.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 1 (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 (.f64 x (+.f64 x -1))) (cbrt.f64 (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))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(.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))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(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)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(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))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.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 1 (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 (.f64 x (+.f64 x -1))) (cbrt.f64 (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))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(.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))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(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)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.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)
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (.f64 x x) (.f64 (neg.f64 x) 1))
(+.f64 (neg.f64 x) (*.f64 x x))
(+.f64 0 (*.f64 x (+.f64 x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x -1)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 x x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x x) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -1)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (exp.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (exp.f64 (neg.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) x)))
(log.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (.f64 x x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) x)))
(log.f64 (.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1))))
(fma.f64 x x (neg.f64 x))
(fma.f64 x x (*.f64 (neg.f64 x) 1))
(fma.f64 x -1 (*.f64 x x))
(fma.f64 (*.f64 x x) 1 (neg.f64 x))
(fma.f64 (.f64 x x) 1 (.f64 (neg.f64 x) 1))
(fma.f64 -1 x (*.f64 x x))
(fma.f64 1 (*.f64 x x) (neg.f64 x))
(fma.f64 1 (.f64 x x) (.f64 (neg.f64 x) 1))
(fma.f64 1 (neg.f64 x) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 x) 1))
(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) -1) (.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 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.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))

simplify177.0ms (6%)

Algorithm

1×	egg-herbie

Rules

894×	`unswap-sqr`
824×	`times-frac`
620×	`fma-neg`
472×	`log-prod`
400×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	11161
1	1275	10381
2	4046	10337

Stop Event

1×	node limit

Counts

409 → 316

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

Outputs
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(/.f64 -1/16 (pow.f64 x 2))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(neg.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x)))
(fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x))
(neg.f64 (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 x) 1/2) (/.f64 1/16 (*.f64 x x))))
(+.f64 -1/2 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)))
(neg.f64 (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 x) 1/2) (/.f64 1/16 (*.f64 x x))))
(+.f64 -1/2 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)))
-1/2
(neg.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(+.f64 -1/2 (neg.f64 (/.f64 1/8 x)))
(-.f64 -1/2 (/.f64 1/8 x))
(neg.f64 (+.f64 1/2 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 x) 1/2) (/.f64 1/16 (*.f64 x x))))
(+.f64 -1/2 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)))
(neg.f64 (+.f64 1/2 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 x) 1/2) (/.f64 1/16 (*.f64 x x))))
(+.f64 -1/2 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)))
-1/2
(neg.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(+.f64 -1/2 (neg.f64 (/.f64 1/8 x)))
(-.f64 -1/2 (/.f64 1/8 x))
(neg.f64 (+.f64 1/2 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 x) 1/2) (/.f64 1/16 (*.f64 x x))))
(+.f64 -1/2 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)))
(neg.f64 (+.f64 1/2 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/8 x) 1/2) (/.f64 1/16 (*.f64 x x))))
(+.f64 -1/2 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)))
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))
(-.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 (+.f64 (/.f64 1/8 x) 1/2) (/.f64 1/16 (*.f64 x x))))
(+.f64 x (+.f64 -1/2 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x))))
(+.f64 (+.f64 x -1/2) (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1 x (/.f64 1/8 x)))
(+.f64 (/.f64 1/8 x) (-.f64 1/2 x))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1 x (+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))))
(+.f64 (+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x)) (-.f64 1/2 x))
(+.f64 (+.f64 (/.f64 1/8 x) (*.f64 1/16 (pow.f64 x -2))) (-.f64 1/2 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))
(-.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 (+.f64 (/.f64 1/8 x) 1/2) (/.f64 1/16 (*.f64 x x))))
(+.f64 x (+.f64 -1/2 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x))))
(+.f64 (+.f64 x -1/2) (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1 x (/.f64 1/8 x)))
(+.f64 (/.f64 1/8 x) (-.f64 1/2 x))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1 x (+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))))
(+.f64 (+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x)) (-.f64 1/2 x))
(+.f64 (+.f64 (/.f64 1/8 x) (*.f64 1/16 (pow.f64 x -2))) (-.f64 1/2 x))
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))
(-.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 (+.f64 (/.f64 1/8 x) 1/2) (/.f64 1/16 (*.f64 x x))))
(+.f64 x (+.f64 -1/2 (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x))))
(+.f64 (+.f64 x -1/2) (fma.f64 -1/16 (pow.f64 x -2) (/.f64 -1/8 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1 x (/.f64 1/8 x)))
(+.f64 (/.f64 1/8 x) (-.f64 1/2 x))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1 x (+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))))
(+.f64 (+.f64 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x)) (-.f64 1/2 x))
(+.f64 (+.f64 (/.f64 1/8 x) (*.f64 1/16 (pow.f64 x -2))) (-.f64 1/2 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 0 (*.f64 -1/16 (pow.f64 x -2)))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2)))))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/16 (pow.f64 x -2)))) 1)
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 -1/16 (*.f64 x x))
(/.f64 (/.f64 -1/16 x) x)
(.f64 (.f64 -1/16 (pow.f64 x -2)) 1)
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(.f64 1 (.f64 -1/16 (pow.f64 x -2)))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(.f64 (cbrt.f64 (.f64 -1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(*.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 -1/16 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 -1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1/16 x) x)) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(*.f64 (/.f64 (sqrt.f64 -1/16) x) (/.f64 (sqrt.f64 -1/16) x))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(.f64 1/16 (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(*.f64 (pow.f64 x -2) -1/16)
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(*.f64 (/.f64 -1/16 x) (/.f64 1 x))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(pow.f64 (*.f64 -1/16 (pow.f64 x -2)) 1)
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(pow.f64 (cbrt.f64 (*.f64 -1/16 (pow.f64 x -2))) 3)
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(pow.f64 (*.f64 -1/4096 (pow.f64 (pow.f64 x -2) 3)) 1/3)
(cbrt.f64 (*.f64 -1/4096 (pow.f64 (pow.f64 x -2) 3)))
(cbrt.f64 (*.f64 -1/4096 (pow.f64 (/.f64 1 x) 6)))
(pow.f64 (/.f64 (sqrt.f64 -1/16) x) 2)
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(pow.f64 (.f64 (.f64 x x) -16) -1)
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 x -2)))
(/.f64 -1/16 (*.f64 x x))
(*.f64 -1/16 (pow.f64 x -2))
(/.f64 (/.f64 -1/16 x) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/16 (pow.f64 x -2)))))
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(+.f64 0 (*.f64 x (+.f64 x -1)))
(-.f64 (*.f64 x x) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(-.f64 (*.f64 x x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x -1)))) 1)
(-.f64 (*.f64 x x) x)
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 x x) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (neg.f64 x) 3)) (-.f64 (+.f64 (pow.f64 x 4) (.f64 x x)) (pow.f64 (neg.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (*.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) x))
(/.f64 (fma.f64 x -1 (pow.f64 x 4)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) x)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 1) (neg.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) x))
(/.f64 (fma.f64 x -1 (pow.f64 x 4)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) x)
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1)
(-.f64 (*.f64 x x) x)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 2)
(-.f64 (*.f64 x x) x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3)
(-.f64 (*.f64 x x) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/2)
(-.f64 (*.f64 x x) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/3)
(-.f64 (*.f64 x x) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2))
(-.f64 (*.f64 x x) x)
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))
(-.f64 (*.f64 x x) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -1)))))
(-.f64 (*.f64 x x) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 1 (exp.f64 x))))
(-.f64 (*.f64 x x) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 x x) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (/.f64 1 (exp.f64 x))))
(-.f64 (*.f64 x x) x)
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) x)))
(-.f64 (*.f64 x x) x)
(log.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (.f64 x x)))))
(-.f64 (*.f64 x x) x)
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) x)))
(-.f64 (*.f64 x x) x)
(log.f64 (.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (.f64 x x)))))
(-.f64 (*.f64 x x) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(-.f64 (*.f64 x x) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) 3)))
(-.f64 (*.f64 x x) x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)))
(-.f64 (*.f64 x x) x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(-.f64 (*.f64 x x) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1))))
(-.f64 (*.f64 x x) x)
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1))
(-.f64 (*.f64 x x) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1))))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 x x (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(fma.f64 x -1 (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (*.f64 x x) 1 (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 (.f64 x x) 1 (.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 1 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 1 (.f64 x x) (.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(fma.f64 1 (neg.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 x))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 x))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1) (.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 x))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 x))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1) (.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x x) x)
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))
(-.f64 (*.f64 x x) x)
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(-.f64 (*.f64 x x) x)

eval383.0ms (13%)

Compiler: Compiled 7514 to 5009 computations (33.3% saved)

prune64.0ms (2.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	460	1	461
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	461	7	468

Accurracy

100.0%

Counts

468 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	99.3%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	99.1%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (+.f64 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	51.5%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.5%	x
▶	51.2%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	99.3%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	99.1%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (+.f64 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	51.5%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.5%	x

Compiler

Compiled 106 to 78 computations (26.4% saved)

localize49.0ms (1.7%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 x (+.f64 x -1))
✓	99.3%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	50.2%	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)

Compiler

Compiled 30 to 22 computations (26.7% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (*.f64 x (+.f64 x -1)) 1/4)
1.0ms	x	@	0	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
1.0ms	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)

rewrite59.0ms (2%)

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)))))

simplify78.0ms (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))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 x) (sqrt.f64 -1))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (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))))))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) (sqrt.f64 x) (.f64 -7/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 -1))))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 -1)) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 -1)) (fma.f64 -7/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 -1)) (.f64 (sqrt.f64 x) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 -1) (fma.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 x))) (.f64 (sqrt.f64 -1) (fma.f64 -1/4 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 (sqrt.f64 -1) (fma.f64 -7/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 x))) (.f64 (sqrt.f64 -1) (fma.f64 -3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) 2)
(sqrt.f64 (neg.f64 x))
(+.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))
(fma.f64 -1/2 (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2))
(.f64 (+.f64 (.f64 x -1/2) 1) (pow.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 -1 1/4)) 2))
(.f64 (+.f64 (.f64 x -1/2) 1) (sqrt.f64 (neg.f64 x)))
(+.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)))
(fma.f64 -1/2 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)) (fma.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2) -1/8) (*.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)))
(fma.f64 -1/2 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)) (fma.f64 (.f64 x x) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2) -1/8) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 x))) 2)))
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(+.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))

eval74.0ms (2.5%)

Compiler: Compiled 3894 to 2505 computations (35.7% saved)

prune33.0ms (1.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	236	7	243

Accurracy

100.0%

Counts

243 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	99.3%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	99.1%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (+.f64 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	51.5%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.5%	x
✓	51.2%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	99.3%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	99.1%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (+.f64 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	51.5%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.5%	x

Compiler

Compiled 106 to 78 computations (26.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
✓	99.3%	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	99.1%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (+.f64 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓	51.5%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.5%	x

Compiler

Compiled 108 to 78 computations (27.8% saved)

regimes57.0ms (1.9%)

Counts

8 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
(+.f64 x (+.f64 (/.f64 -1/16 (*.f64 x x)) (+.f64 -1/2 (/.f64 -1/8 x))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))

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

Calls

2 calls:

50.0ms	x
5.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 65 to 46 computations (29.2% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)

Outputs
(-.f64 x 1/2)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes176.0ms (6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

175.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	27	64
2	37	64
3	43	64
4	47	64
5	48	64

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness219.0ms (7.5%)

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 595 to 497 computations (16.5% saved)

end0.0ms (0%)

preprocess33.0ms (1.1%)

Compiler: Compiled 66 to 46 computations (30.3% saved)

analyze2.0ms (0.1%)

sample828.0ms (28.2%)

preprocess105.0ms (3.6%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize35.0ms (1.2%)

series1.0ms (0%)

rewrite59.0ms (2%)

simplify65.0ms (2.2%)

eval7.0ms (0.2%)

prune44.0ms (1.5%)

localize167.0ms (5.7%)

series3.0ms (0.1%)

rewrite192.0ms (6.5%)

simplify177.0ms (6%)

eval383.0ms (13%)

prune64.0ms (2.2%)

localize49.0ms (1.7%)

series3.0ms (0.1%)

rewrite59.0ms (2%)

simplify78.0ms (2.7%)

eval74.0ms (2.5%)

prune33.0ms (1.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes57.0ms (1.9%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes176.0ms (6%)

simplify6.0ms (0.2%)

soundness219.0ms (7.5%)

end0.0ms (0%)

preprocess33.0ms (1.1%)

Profiling