Details

analyze8.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample739.0ms (43.5%)

Results

727.0ms	8256×	body	256	valid
1.0ms	14×	body	256	invalid

Bogosity

preprocess14.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (0.6%)

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

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)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	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 (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

Outputs

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

simplify158.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

22 → 31

Calls

Call 1

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

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

eval6.0ms (0.4%)

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

prune5.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

Counts

32 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
▶	0.3b	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
▶	0.5b	(-.f64 x 1/2)
▶	29.0b	(sqrt.f64 (-.f64 (*.f64 x x) x))
	1.0b	x

Compiler

Compiled 35 to 24 computations (31.4% saved)

localize126.0ms (7.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) x)
✓	26.9b	(sqrt.f64 (-.f64 (*.f64 x x) x))

Compiler

Compiled 16 to 4 computations (75% saved)

series1.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

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

rewrite59.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

Outputs

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

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

simplify76.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

86 → 112

Calls

Call 1

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

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

localize3.0ms (0.2%)

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

localize14.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1/16 (*.f64 x x))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`add-sqr-sqrt`
1182×	`*-un-lft-identity`
1120×	`add-cube-cbrt`
1112×	`add-cbrt-cube`
1102×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	130	13
2	1591	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify43.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1346×	`associate-/l*`
1186×	`associate-/r*`
1150×	`associate-+r+`
1076×	`associate-r`
1062×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	485
1	137	485
2	468	485
3	3128	485

Stop Event

1×	node limit

Counts

33 → 26

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 (+.f64 1 (*.f64 1/16 (pow.f64 x -2))) 1)
(*.f64 1/16 (pow.f64 x -2))
(.f64 (.f64 1/16 (pow.f64 x -2)) 1)
(.f64 1 (.f64 1/16 (pow.f64 x -2)))
(*.f64 (/.f64 1/4 x) (/.f64 1/4 x))
(.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 1/256 (pow.f64 x 4))) (cbrt.f64 (.f64 1/16 (pow.f64 x -2))))
(*.f64 (/.f64 1/16 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 1/16)
(.f64 -1/16 (/.f64 1 (neg.f64 (.f64 x x))))
(pow.f64 (*.f64 1/16 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 1/4 x) 2)
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -2)) 3) 1/3)
(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)))
(cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/16 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 x -2))))

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

localize7.0ms (0.4%)

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

eval28.0ms (1.7%)

Compiler: Compiled 1691 to 894 computations (47.1% saved)

prune18.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	138	5	143

Error

Counts

143 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	0.3b	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
✓	0.5b	(-.f64 x 1/2)
✓	29.0b	(sqrt.f64 (-.f64 (*.f64 x x) x))
	1.0b	x

Compiler

Compiled 35 to 24 computations (31.4% 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
✓	0.3b	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	0.3b	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
✓	0.5b	(-.f64 x 1/2)
✓	29.0b	(sqrt.f64 (-.f64 (*.f64 x x) x))
	1.0b	x

Compiler

Compiled 35 to 24 computations (31.4% 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
✓	0.3b	(-.f64 (+.f64 x -1/2) (/.f64 1/8 x))
✓	0.3b	(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))
✓	0.5b	(-.f64 x 1/2)
✓	29.0b	(sqrt.f64 (-.f64 (*.f64 x x) x))
	1.0b	x

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes44.0ms (2.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	x
4.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 48 to 31 computations (35.4% 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
0.3b	1	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.5b remaining (-96.8%)

Threshold costs -0.5b (-96.8%)

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
0.5b	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	23	64
2	37	64
3	48	64
4	52	64
5	53	64

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness138.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 160 to 129 computations (19.4% saved)

end48.0ms (2.8%)

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

Details

analyze8.0ms (0.4%)

sample739.0ms (43.5%)

preprocess14.0ms (0.8%)

simplify11.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.5%)

series1.0ms (0.1%)

rewrite59.0ms (3.5%)

simplify158.0ms (9.3%)

eval6.0ms (0.4%)

prune5.0ms (0.3%)

localize126.0ms (7.4%)

series1.0ms (0.1%)

rewrite59.0ms (3.5%)

simplify76.0ms (4.5%)

localize3.0ms (0.2%)

localize14.0ms (0.8%)

series1.0ms (0%)

rewrite65.0ms (3.9%)

simplify43.0ms (2.6%)

localize7.0ms (0.4%)

eval28.0ms (1.7%)

prune18.0ms (1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes44.0ms (2.6%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

simplify6.0ms (0.3%)

soundness138.0ms (8.1%)

end48.0ms (2.8%)

Profiling