Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample902.0ms (46.8%)

Results

889.0ms	8256×	body	256	valid
1.0ms	11×	body	256	invalid

preprocess16.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11

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 (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize13.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
✓	0.5b	(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

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

rewrite49.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
645×	`add-log-exp_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1776	9

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

Outputs

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

simplify50.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

440×	`fma-def_binary64`
436×	`log-prod_binary64`
314×	`fma-neg_binary64`
242×	`unswap-sqr_binary64`
233×	`exp-sum_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	278
1	161	242
2	553	206
3	2530	202
4	7280	202

Stop Event

1×	node limit

Counts

22 → 35

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

eval8.0ms (0.4%)

Compiler: Compiled 345 to 269 computations (22% saved)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	5	36

Error

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
▶	0.7b	(+.f64 x -1/2)
	1.5b	x
▶	29.3b	(sqrt.f64 (*.f64 x (+.f64 x -1)))
▶	0.2b	(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize19.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(/.f64 1/16 (*.f64 x x))
	0.0b	(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
✓	0.0b	(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
✓	1.3b	(/.f64 1/16 (*.f64 x x))

Compiler

Compiled 49 to 29 computations (40.8% saved)

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite134.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`prod-diff_binary64`
593×	`unpow-prod-down_binary64`
401×	`log-prod_binary64`
302×	`fma-def_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	194	18
2	2862	18

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs
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Outputs

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

simplify153.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-/l*_binary64`
495×	`fma-def_binary64`
435×	`unswap-sqr_binary64`
257×	`distribute-rgt-in_binary64`
244×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	2554
1	930	2308
2	2724	2276

Stop Event

1×	node limit

Counts

156 → 193

Calls

Call 1

Inputs
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (pow.f64 x 2))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(/.f64 1/8 x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(/.f64 1/8 x)
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 0 (/.f64 1/16 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -2))) 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 (*.f64 x x)))) 1)
(*.f64 1/16 (pow.f64 x -2))
(.f64 (/.f64 1/16 (.f64 x x)) 1)
(.f64 1 (/.f64 1/16 (.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2))
(*.f64 (/.f64 1/4 x) (/.f64 1/4 x))
(.f64 -1/16 (/.f64 1 (.f64 x (neg.f64 x))))
(.f64 -1/16 (pow.f64 (/.f64 1 (.f64 x (neg.f64 x))) 1))
(*.f64 (pow.f64 x -2) 1/16)
(*.f64 (/.f64 1/16 x) (/.f64 1 x))
(.f64 (pow.f64 1 1/3) (/.f64 1/16 (.f64 x x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2)) 3))
(*.f64 (pow.f64 (cbrt.f64 1/16) 3) (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2)) 2) 3) (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2))
(*.f64 (pow.f64 1/4096 1/3) (pow.f64 x -2))
(.f64 (pow.f64 (sqrt.f64 (/.f64 1/4096 (pow.f64 (.f64 x x) 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 1/4096 (pow.f64 (*.f64 x x) 3))) 1/3))
(.f64 (pow.f64 (pow.f64 (/.f64 1/16 (.f64 x x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/16 (*.f64 x x)) 3/2) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 1/256 (pow.f64 x 4)) 1/16) 1/3) (cbrt.f64 (pow.f64 x -2)))
(.f64 (pow.f64 (.f64 (/.f64 1/256 (pow.f64 x 4)) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4)))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2)))
(.f64 (pow.f64 (.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 1/4 x)) 1/3) (cbrt.f64 (/.f64 1/4 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 x x) 16)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2))
(pow.f64 (/.f64 1/16 (*.f64 x x)) 1)
(pow.f64 (/.f64 1/256 (pow.f64 x 4)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) 3)
(pow.f64 (/.f64 1/4 x) 2)
(pow.f64 (/.f64 1/4096 (pow.f64 (*.f64 x x) 3)) 1/3)
(pow.f64 (.f64 (.f64 x x) 16) -1)
(pow.f64 (/.f64 (.f64 (.f64 x x) 16) 1) -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 (*.f64 x x)))))
(cbrt.f64 (/.f64 1/4096 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/16 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 1/16 (*.f64 x x))))
(exp.f64 (*.f64 2 (log.f64 (/.f64 1/4 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 1/4 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))) 1)
(-.f64 (/.f64 (*.f64 1/64 (pow.f64 x -2)) (/.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 (fma.f64 1/16 x (.f64 (*.f64 x x) 1/8)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1))
(*.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 1/8 x) 3)) (/.f64 1 (-.f64 (fma.f64 1/64 (pow.f64 x -2) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/128 (pow.f64 x 3)))))
(*.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 1/8 x) 3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 1/64 (pow.f64 x -2) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/128 (pow.f64 x 3)))) 1))
(.f64 (-.f64 (.f64 1/64 (pow.f64 x -2)) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1 (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x)))
(.f64 (-.f64 (.f64 1/64 (pow.f64 x -2)) (/.f64 1/256 (pow.f64 x 4))) (pow.f64 (/.f64 1 (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 2) (hypot.f64 (/.f64 1/4 x) (sqrt.f64 (/.f64 1/8 x)))) 1/3) (cbrt.f64 (hypot.f64 (/.f64 1/4 x) (sqrt.f64 (/.f64 1/8 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))) 2) 3) (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)))) 3))
(/.f64 1 (/.f64 (pow.f64 x 3) (fma.f64 1/16 x (.f64 (.f64 x x) 1/8))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 1/64 (pow.f64 x -2) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/128 (pow.f64 x 3))) (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 1/8 x) 3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x) (-.f64 (*.f64 1/64 (pow.f64 x -2)) (/.f64 1/256 (pow.f64 x 4)))))
(/.f64 (fma.f64 1/16 x (.f64 (.f64 x x) 1/8)) (pow.f64 x 3))
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 1/8 x) 3)) (-.f64 (fma.f64 1/64 (pow.f64 x -2) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/128 (pow.f64 x 3))))
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 1/8 x) 3)) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (-.f64 (*.f64 1/64 (pow.f64 x -2)) (/.f64 1/128 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 x -2)) (/.f64 1/256 (pow.f64 x 4))) (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x))
(/.f64 (neg.f64 (fma.f64 1/16 x (.f64 (.f64 x x) 1/8))) (neg.f64 (pow.f64 x 3)))
(/.f64 (neg.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 1/8 x) 3))) (neg.f64 (-.f64 (fma.f64 1/64 (pow.f64 x -2) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/128 (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/64 (pow.f64 x -2)) (/.f64 1/256 (pow.f64 x 4)))) (neg.f64 (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x)))
(/.f64 (+.f64 x (.f64 (.f64 (.f64 x x) 16) 1/8)) (.f64 (.f64 (.f64 x x) 16) 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 (/.f64 1/16 x) x (.f64 x 1/8)) (.f64 x x))
(/.f64 (fma.f64 1/16 (/.f64 x 1/8) (.f64 x x)) (.f64 (*.f64 x x) (/.f64 x 1/8)))
(/.f64 (fma.f64 x 8 (.f64 (.f64 (.f64 x x) 16) 1)) (.f64 (.f64 (.f64 x x) 16) (/.f64 x 1/8)))
(/.f64 (fma.f64 -1/16 (/.f64 x 1/8) (.f64 (.f64 x (neg.f64 x)) 1)) (.f64 (.f64 x (neg.f64 x)) (/.f64 x 1/8)))
(/.f64 (fma.f64 (/.f64 1/16 x) (/.f64 x 1/8) x) (*.f64 x (/.f64 x 1/8)))
(/.f64 (fma.f64 1/16 (neg.f64 x) (.f64 (.f64 x x) -1/8)) (.f64 (.f64 x x) (neg.f64 x)))
(/.f64 (fma.f64 -1 x (.f64 (.f64 (.f64 x x) 16) -1/8)) (.f64 (.f64 (.f64 x x) 16) (neg.f64 x)))
(/.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) (neg.f64 x) (.f64 x -1/8)) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x x (.f64 (/.f64 x 1/8) 1/16)) (.f64 (/.f64 x 1/8) (*.f64 x 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 (.f64 x x) 16) x) (.f64 x (.f64 (*.f64 x x) 16)))
(/.f64 (fma.f64 (.f64 x x) 16 (.f64 (/.f64 x 1/8) 1)) (.f64 (/.f64 x 1/8) (.f64 (*.f64 x x) 16)))
(/.f64 (fma.f64 -1/8 (.f64 (.f64 x x) 16) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (.f64 (.f64 x x) 16)))
(/.f64 (fma.f64 1/8 (.f64 x (neg.f64 x)) (.f64 x -1/16)) (.f64 x (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 x (neg.f64 x) (.f64 (/.f64 x 1/8) -1/16)) (.f64 (/.f64 x 1/8) (*.f64 x (neg.f64 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 x (/.f64 1/16 x))) (.f64 x x))
(/.f64 (+.f64 x (.f64 (/.f64 x 1/8) (/.f64 1/16 x))) (.f64 (/.f64 x 1/8) x))
(/.f64 (fma.f64 -1/8 x (.f64 (neg.f64 x) (/.f64 1/16 x))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (/.f64 1/256 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x -2))) (-.f64 (/.f64 1/16 (.f64 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 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))) 3)
(pow.f64 (hypot.f64 (/.f64 1/4 x) (sqrt.f64 (/.f64 1/8 x))) 2)
(pow.f64 (/.f64 (pow.f64 x 3) (fma.f64 1/16 x (.f64 (.f64 x x) 1/8))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 1/64 (pow.f64 x -2) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/128 (pow.f64 x 3))) (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 1/8 x) 3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x) (-.f64 (*.f64 1/64 (pow.f64 x -2)) (/.f64 1/256 (pow.f64 x 4)))) -1)
(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 (+.f64 1 (expm1.f64 (/.f64 1/16 (.f64 x x)))) (exp.f64 (/.f64 1/8 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -2)) (+.f64 1 (expm1.f64 (/.f64 1/8 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1/16 (.f64 x x)))) (+.f64 1 (expm1.f64 (/.f64 1/8 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/8 x))) (pow.f64 (exp.f64 1/16) (pow.f64 x -2))))
(log.f64 (.f64 (exp.f64 (/.f64 1/8 x)) (+.f64 1 (expm1.f64 (/.f64 1/16 (.f64 x x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1/8 x))) (+.f64 1 (expm1.f64 (/.f64 1/16 (.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(exp.f64 (log.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))) 1))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 (/.f64 1/16 (*.f64 x x)) 1 (/.f64 1/8 x))
(fma.f64 1/8 (/.f64 1 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 (/.f64 1/8 x) 1 (/.f64 1/16 (*.f64 x x)))
(fma.f64 1 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(fma.f64 1 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/8 x))
(fma.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (/.f64 1/8 x))
(fma.f64 (cbrt.f64 (/.f64 1/8 x)) (pow.f64 (cbrt.f64 (/.f64 1/8 x)) 2) (/.f64 1/16 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/8 x)) 2) (cbrt.f64 (/.f64 1/8 x)) (/.f64 1/16 (*.f64 x x)))
(fma.f64 (/.f64 1/4 x) (/.f64 1/4 x) (/.f64 1/8 x))
(fma.f64 (sqrt.f64 (/.f64 1/8 x)) (sqrt.f64 (/.f64 1/8 x)) (/.f64 1/16 (*.f64 x x)))
(fma.f64 -1/16 (/.f64 1 (*.f64 x (neg.f64 x))) (/.f64 1/8 x))
(fma.f64 -1/8 (/.f64 1 (neg.f64 x)) (/.f64 1/16 (*.f64 x x)))
(fma.f64 (pow.f64 x -2) 1/16 (/.f64 1/8 x))
(fma.f64 (/.f64 1 x) 1/8 (/.f64 1/16 (*.f64 x x)))
(fma.f64 (/.f64 1/16 x) (/.f64 1 x) (/.f64 1/8 x))

Outputs
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (pow.f64 x 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 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 1/16 (*.f64 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 1/16 (*.f64 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 1/16 (*.f64 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 1/16 (*.f64 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 1/16 (*.f64 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 1/16 (*.f64 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 1/16 (*.f64 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 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(+.f64 0 (/.f64 1/16 (*.f64 x x)))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -2))) 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 3 (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 (exp.f64 (log1p.f64 (/.f64 1/16 (*.f64 x x)))) 1)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 1/16 (pow.f64 x -2))
(/.f64 1/16 (*.f64 x x))
(.f64 (/.f64 1/16 (.f64 x x)) 1)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(.f64 1 (/.f64 1/16 (.f64 x x)))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(*.f64 (/.f64 1/4 x) (/.f64 1/4 x))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(.f64 -1/16 (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 -1/16 (*.f64 x (neg.f64 x)))
(.f64 -1/16 (pow.f64 (/.f64 1 (.f64 x (neg.f64 x))) 1))
(/.f64 -1/16 (*.f64 x (neg.f64 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) (/.f64 1 x))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(.f64 (pow.f64 1 1/3) (/.f64 1/16 (.f64 x x)))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2)) 3))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 1/16) 3) (pow.f64 x -2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2)) 2) 3) (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2))
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(*.f64 (pow.f64 1/4096 1/3) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (cbrt.f64 1/4096))
(.f64 (pow.f64 (sqrt.f64 (/.f64 1/4096 (pow.f64 (.f64 x x) 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 1/4096 (pow.f64 (*.f64 x x) 3))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4096 (pow.f64 (.f64 x x) 3)))) (cbrt.f64 (sqrt.f64 (/.f64 1/4096 (pow.f64 (*.f64 x x) 3)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/4096 (pow.f64 x 6)))) (cbrt.f64 (sqrt.f64 (/.f64 1/4096 (pow.f64 x 6)))))
(.f64 (pow.f64 (pow.f64 (/.f64 1/16 (.f64 x x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/16 (*.f64 x x)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1/16 (.f64 x x)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 1/16 (*.f64 x x)) 3/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 1/16 (pow.f64 x -2)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -2)) 3/2)))
(.f64 (pow.f64 (.f64 (/.f64 1/256 (pow.f64 x 4)) 1/16) 1/3) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (/.f64 1/4096 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(.f64 (pow.f64 (.f64 (/.f64 1/256 (pow.f64 x 4)) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4)))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2)) (cbrt.f64 (.f64 (/.f64 1/256 (pow.f64 x 4)) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))))
(.f64 (pow.f64 (.f64 (/.f64 1/256 (pow.f64 x 4)) (/.f64 1/4 x)) 1/3) (cbrt.f64 (/.f64 1/4 x)))
(.f64 (cbrt.f64 (/.f64 1/4 x)) (cbrt.f64 (/.f64 (.f64 1/256 (/.f64 1/4 x)) (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 x)) (cbrt.f64 (/.f64 (/.f64 1/1024 (pow.f64 x 4)) x)))
(*.f64 (cbrt.f64 (/.f64 1/4 x)) (cbrt.f64 (/.f64 1/1024 (pow.f64 x 5))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 x x) 16)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (*.f64 x 16))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 16))) 2))
(pow.f64 (/.f64 1/16 (*.f64 x x)) 1)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(pow.f64 (/.f64 1/256 (pow.f64 x 4)) 1/2)
(sqrt.f64 (/.f64 1/256 (pow.f64 x 4)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) 3)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(pow.f64 (/.f64 1/4 x) 2)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(pow.f64 (/.f64 1/4096 (pow.f64 (*.f64 x x) 3)) 1/3)
(cbrt.f64 (/.f64 1/4096 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (/.f64 1/4096 (pow.f64 x 6)))
(pow.f64 (.f64 (.f64 x x) 16) -1)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(pow.f64 (/.f64 (.f64 (.f64 x x) 16) 1) -1)
(/.f64 1/16 (*.f64 x x))
(*.f64 1/16 (pow.f64 x -2))
(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))
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(/.f64 (fma.f64 -1/16 (/.f64 x 1/8) (*.f64 x (neg.f64 x))) (/.f64 (neg.f64 (pow.f64 x 3)) 1/8))
(.f64 (/.f64 (-.f64 (/.f64 x -2) (.f64 x x)) (neg.f64 (pow.f64 x 3))) 1/8)
(/.f64 (fma.f64 x (neg.f64 x) (.f64 -1/2 x)) (.f64 -8 (pow.f64 x 3)))
(/.f64 (fma.f64 (/.f64 1/16 x) (/.f64 x 1/8) x) (*.f64 x (/.f64 x 1/8)))
(/.f64 (+.f64 x (/.f64 (/.f64 x 2) x)) (*.f64 x (/.f64 x 1/8)))
(/.f64 (+.f64 x (/.f64 x (.f64 2 x))) (.f64 x (/.f64 x 1/8)))
(/.f64 (fma.f64 1/16 (neg.f64 x) (.f64 (.f64 x x) -1/8)) (.f64 (.f64 x x) (neg.f64 x)))
(.f64 (fma.f64 1/16 x (.f64 1/8 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 1/16 x (.f64 1/8 (.f64 x x))) (pow.f64 x 3))
(/.f64 (.f64 x (-.f64 (.f64 x 1/8) -1/16)) (pow.f64 x 3))
(/.f64 (fma.f64 -1 x (.f64 (.f64 (.f64 x x) 16) -1/8)) (.f64 (.f64 (.f64 x x) 16) (neg.f64 x)))
(/.f64 (fma.f64 -1 x (.f64 (.f64 x x) -2)) (*.f64 (neg.f64 (pow.f64 x 3)) 16))
(/.f64 (-.f64 (.f64 (.f64 x x) -2) x) (*.f64 (pow.f64 x 3) -16))
(/.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 1/16 x (.f64 1/8 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 1/16 x (.f64 1/8 (.f64 x x))) (pow.f64 x 3))
(/.f64 (.f64 x (-.f64 (.f64 x 1/8) -1/16)) (pow.f64 x 3))
(/.f64 (fma.f64 (/.f64 1/16 x) (neg.f64 x) (.f64 x -1/8)) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x -1/8 (.f64 x (/.f64 -1/16 x))) (.f64 x (neg.f64 x)))
(/.f64 (.f64 x (-.f64 -1/8 (/.f64 1/16 x))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x x (.f64 (/.f64 x 1/8) 1/16)) (.f64 (/.f64 x 1/8) (*.f64 x x)))
(/.f64 (fma.f64 1/16 (/.f64 x 1/8) (*.f64 x x)) (/.f64 (pow.f64 x 3) 1/8))
(*.f64 (/.f64 (fma.f64 x x (/.f64 x 2)) (pow.f64 x 3)) 1/8)
(/.f64 (fma.f64 x x (/.f64 x 2)) (/.f64 (pow.f64 x 3) 1/8))
(/.f64 (fma.f64 -1/8 (.f64 x x) (.f64 (neg.f64 x) 1/16)) (.f64 (neg.f64 x) (.f64 x x)))
(.f64 (fma.f64 1/16 x (.f64 1/8 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 1/16 x (.f64 1/8 (.f64 x x))) (pow.f64 x 3))
(/.f64 (.f64 x (-.f64 (.f64 x 1/8) -1/16)) (pow.f64 x 3))
(/.f64 (fma.f64 1/8 (.f64 (.f64 x x) 16) x) (.f64 x (.f64 (*.f64 x x) 16)))
(/.f64 (+.f64 x (.f64 (.f64 x x) 2)) (*.f64 (pow.f64 x 3) 16))
(/.f64 (fma.f64 (.f64 x x) 2 x) (.f64 16 (pow.f64 x 3)))
(.f64 (/.f64 (fma.f64 2 (.f64 x x) x) (pow.f64 x 3)) 1/16)
(/.f64 (fma.f64 (.f64 x x) 16 (.f64 (/.f64 x 1/8) 1)) (.f64 (/.f64 x 1/8) (.f64 (*.f64 x x) 16)))
(/.f64 (fma.f64 (.f64 x x) 16 (/.f64 x 1/8)) (.f64 (/.f64 (pow.f64 x 3) 1/8) 16))
(/.f64 (fma.f64 x (*.f64 x 16) (/.f64 x 1/8)) (/.f64 (pow.f64 x 3) 1/128))
(.f64 (/.f64 (fma.f64 x (.f64 x 16) (/.f64 x 1/8)) (pow.f64 x 3)) 1/128)
(/.f64 (fma.f64 -1/8 (.f64 (.f64 x x) 16) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (.f64 (.f64 x x) 16)))
(/.f64 (fma.f64 -1 x (.f64 (.f64 x x) -2)) (*.f64 (neg.f64 (pow.f64 x 3)) 16))
(/.f64 (-.f64 (.f64 (.f64 x x) -2) x) (*.f64 (pow.f64 x 3) -16))
(/.f64 (fma.f64 1/8 (.f64 x (neg.f64 x)) (.f64 x -1/16)) (.f64 x (.f64 x (neg.f64 x))))
(.f64 (fma.f64 1/16 x (.f64 1/8 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 1/16 x (.f64 1/8 (.f64 x x))) (pow.f64 x 3))
(/.f64 (.f64 x (-.f64 (.f64 x 1/8) -1/16)) (pow.f64 x 3))
(/.f64 (fma.f64 x (neg.f64 x) (.f64 (/.f64 x 1/8) -1/16)) (.f64 (/.f64 x 1/8) (*.f64 x (neg.f64 x))))
(/.f64 (fma.f64 -1/16 (/.f64 x 1/8) (*.f64 x (neg.f64 x))) (/.f64 (neg.f64 (pow.f64 x 3)) 1/8))
(.f64 (/.f64 (-.f64 (/.f64 x -2) (.f64 x x)) (neg.f64 (pow.f64 x 3))) 1/8)
(/.f64 (fma.f64 x (neg.f64 x) (.f64 -1/2 x)) (.f64 -8 (pow.f64 x 3)))
(/.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 1/16 x (.f64 1/8 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 1/16 x (.f64 1/8 (.f64 x x))) (pow.f64 x 3))
(/.f64 (.f64 x (-.f64 (.f64 x 1/8) -1/16)) (pow.f64 x 3))
(/.f64 (fma.f64 1/8 x (.f64 x (/.f64 1/16 x))) (.f64 x x))
(/.f64 (fma.f64 (/.f64 1/16 x) x (.f64 x 1/8)) (.f64 x x))
(/.f64 (.f64 x (+.f64 (/.f64 1/16 x) 1/8)) (.f64 x x))
(/.f64 x (/.f64 (*.f64 x x) (+.f64 (/.f64 1/16 x) 1/8)))
(/.f64 (+.f64 x (.f64 (/.f64 x 1/8) (/.f64 1/16 x))) (.f64 (/.f64 x 1/8) x))
(/.f64 (fma.f64 (/.f64 1/16 x) (/.f64 x 1/8) x) (*.f64 x (/.f64 x 1/8)))
(/.f64 (+.f64 x (/.f64 (/.f64 x 2) x)) (*.f64 x (/.f64 x 1/8)))
(/.f64 (+.f64 x (/.f64 x (.f64 2 x))) (.f64 x (/.f64 x 1/8)))
(/.f64 (fma.f64 -1/8 x (.f64 (neg.f64 x) (/.f64 1/16 x))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 1/16 x) (neg.f64 x) (.f64 x -1/8)) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 x -1/8 (.f64 x (/.f64 -1/16 x))) (.f64 x (neg.f64 x)))
(/.f64 (.f64 x (-.f64 -1/8 (/.f64 1/16 x))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (/.f64 1/256 (pow.f64 x 4)) (.f64 1/64 (pow.f64 x -2))) (-.f64 (/.f64 1/16 (.f64 x x)) (/.f64 1/8 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 1/64) (/.f64 1/256 (pow.f64 x 4))) (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x -2) 1/64 (/.f64 -1/256 (pow.f64 x 4))) (+.f64 1/8 (/.f64 -1/16 x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x -2) -1/64 (/.f64 1/256 (pow.f64 x 4))) (+.f64 (/.f64 1/16 x) -1/8)) x)
(/.f64 (/.f64 (fma.f64 1/16 x (.f64 (.f64 x x) 1/8)) x) (*.f64 x x))
(.f64 (fma.f64 1/16 x (.f64 1/8 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 1/16 x (.f64 1/8 (.f64 x x))) (pow.f64 x 3))
(/.f64 (.f64 x (-.f64 (.f64 x 1/8) -1/16)) (pow.f64 x 3))
(pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 1)
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(pow.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 2) 1/2)
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(pow.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3) 1/3)
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(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))) 3)
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(pow.f64 (hypot.f64 (/.f64 1/4 x) (sqrt.f64 (/.f64 1/8 x))) 2)
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(pow.f64 (/.f64 (pow.f64 x 3) (fma.f64 1/16 x (.f64 (.f64 x x) 1/8))) -1)
(.f64 (fma.f64 1/16 x (.f64 1/8 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 1/16 x (.f64 1/8 (.f64 x x))) (pow.f64 x 3))
(/.f64 (.f64 x (-.f64 (.f64 x 1/8) -1/16)) (pow.f64 x 3))
(pow.f64 (/.f64 (-.f64 (fma.f64 1/64 (pow.f64 x -2) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/128 (pow.f64 x 3))) (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (/.f64 1/8 x) 3))) -1)
(/.f64 (*.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (/.f64 1/512 (pow.f64 x 3))) 1) (-.f64 (fma.f64 1/64 (pow.f64 x -2) (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/128 (pow.f64 x 3))))
(/.f64 (fma.f64 1/4096 (pow.f64 (pow.f64 x -2) 3) (/.f64 1/512 (pow.f64 x 3))) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (fma.f64 (pow.f64 x -2) 1/64 (/.f64 -1/128 (pow.f64 x 3)))))
(/.f64 (fma.f64 1/4096 (pow.f64 (/.f64 1 x) 6) (/.f64 1/512 (pow.f64 x 3))) (+.f64 (/.f64 1/256 (pow.f64 x 4)) (fma.f64 (pow.f64 x -2) 1/64 (/.f64 -1/128 (pow.f64 x 3)))))
(pow.f64 (/.f64 (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x) (-.f64 (*.f64 1/64 (pow.f64 x -2)) (/.f64 1/256 (pow.f64 x 4)))) -1)
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 1/64) (/.f64 1/256 (pow.f64 x 4))) (/.f64 (-.f64 1/8 (/.f64 1/16 x)) x))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x -2) 1/64 (/.f64 -1/256 (pow.f64 x 4))) (+.f64 1/8 (/.f64 -1/16 x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x -2) -1/64 (/.f64 1/256 (pow.f64 x 4))) (+.f64 (/.f64 1/16 x) -1/8)) x)
(sqrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 2))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(log.f64 (exp.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(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)))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1/16 (.f64 x x)))) (exp.f64 (/.f64 1/8 x))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/16) (pow.f64 x -2)) (+.f64 1 (expm1.f64 (/.f64 1/8 x)))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1/16 (.f64 x x)))) (+.f64 1 (expm1.f64 (/.f64 1/8 x)))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/8 x))) (pow.f64 (exp.f64 1/16) (pow.f64 x -2))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(log.f64 (.f64 (exp.f64 (/.f64 1/8 x)) (+.f64 1 (expm1.f64 (/.f64 1/16 (.f64 x x))))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1/8 x))) (+.f64 1 (expm1.f64 (/.f64 1/16 (.f64 x x))))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x)) 3))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(exp.f64 (log.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))) 1))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 (/.f64 1/16 (*.f64 x x)) 1 (/.f64 1/8 x))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 1/8 (/.f64 1 x) (/.f64 1/16 (*.f64 x x)))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 (/.f64 1/8 x) 1 (/.f64 1/16 (*.f64 x x)))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 1 (/.f64 1/16 (*.f64 x x)) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 1 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/8 x))
(fma.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (/.f64 1/8 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 x)) 2) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (/.f64 1/8 x))
(fma.f64 (cbrt.f64 (/.f64 1/8 x)) (pow.f64 (cbrt.f64 (/.f64 1/8 x)) 2) (/.f64 1/16 (*.f64 x x)))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/8 x)) 2) (cbrt.f64 (/.f64 1/8 x)) (/.f64 1/16 (*.f64 x x)))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 (/.f64 1/4 x) (/.f64 1/4 x) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 (sqrt.f64 (/.f64 1/8 x)) (sqrt.f64 (/.f64 1/8 x)) (/.f64 1/16 (*.f64 x x)))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 -1/16 (/.f64 1 (*.f64 x (neg.f64 x))) (/.f64 1/8 x))
(+.f64 (/.f64 -1/16 (*.f64 x (neg.f64 x))) (/.f64 1/8 x))
(fma.f64 -1/16 (/.f64 (/.f64 -1 x) x) (/.f64 1/8 x))
(fma.f64 -1/16 (neg.f64 (pow.f64 x -2)) (/.f64 1/8 x))
(fma.f64 -1/8 (/.f64 1 (neg.f64 x)) (/.f64 1/16 (*.f64 x x)))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 (pow.f64 x -2) 1/16 (/.f64 1/8 x))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 (/.f64 1 x) 1/8 (/.f64 1/16 (*.f64 x x)))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))
(fma.f64 (/.f64 1/16 x) (/.f64 1 x) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (pow.f64 x -2) (/.f64 1/8 x))

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	27.3b	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	0.0b	(*.f64 x (+.f64 x -1))
✓	0.0b	(*.f64 x (+.f64 x -1))
✓	27.3b	(sqrt.f64 (*.f64 x (+.f64 x -1)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

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

rewrite52.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
590×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	129	16
2	1645	16

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

729×	`div-sub_binary64`
499×	`fma-def_binary64`
461×	`unswap-sqr_binary64`
388×	`log-prod_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	730
1	335	639
2	1228	566
3	6584	566

Stop Event

1×	node limit

Counts

66 → 87

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize9.0ms (0.4%)

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

eval131.0ms (6.8%)

Compiler: Compiled 4752 to 3404 computations (28.4% saved)

prune84.0ms (4.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	280	5	285

Error

Counts

285 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	0.7b	(+.f64 x -1/2)
	1.5b	x
✓	29.3b	(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓	0.2b	(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	0.7b	(+.f64 x -1/2)
	1.5b	x
✓	29.3b	(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓	0.2b	(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	0.7b	(+.f64 x -1/2)
	1.5b	x
✓	29.3b	(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓	0.2b	(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes13.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 55 to 37 computations (32.7% saved)

regimes4.0ms (0.2%)

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

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0.2%)

Accuracy

Total -0.8b remaining (-108.7%)

Threshold costs -0.8b (-108.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(+.f64 x -1/2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`*-commutative_binary64`
4×	`distribute-neg-in_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	21	34
2	36	34
3	46	34
4	57	34
5	60	34
6	61	34

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

soundness149.0ms (7.7%)

Algorithm

2×	egg-herbie

Rules

440×	`fma-def_binary64`
436×	`log-prod_binary64`
314×	`fma-neg_binary64`
242×	`unswap-sqr_binary64`
233×	`exp-sum_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	14	11
0	63	278
1	161	242
2	553	206
3	2530	202
4	7280	202

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 143 to 112 computations (21.7% saved)

end26.0ms (1.4%)

Compiler: Compiled 25 to 17 computations (32% saved)

Details

analyze3.0ms (0.2%)

sample902.0ms (46.8%)

preprocess16.0ms (0.9%)

simplify7.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize13.0ms (0.7%)

series2.0ms (0.1%)

rewrite49.0ms (2.6%)

simplify50.0ms (2.6%)

eval8.0ms (0.4%)

prune6.0ms (0.3%)

localize19.0ms (1%)

series3.0ms (0.2%)

rewrite134.0ms (6.9%)

simplify153.0ms (7.9%)

localize8.0ms (0.4%)

series3.0ms (0.1%)

rewrite52.0ms (2.7%)

simplify67.0ms (3.5%)

localize3.0ms (0.1%)

localize9.0ms (0.4%)

eval131.0ms (6.8%)

prune84.0ms (4.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (0.7%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

simplify4.0ms (0.2%)

soundness149.0ms (7.7%)

end26.0ms (1.4%)

Profiling