Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample797.0ms (19.1%)

Results

786.0ms	8256×	body	256	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

6×	`rational_best-simplify-2`
2×	`rational_best-simplify-74`
2×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	12	17
2	14	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`rational_best-simplify-2`
2×	`rational_best-simplify-74`
2×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	12	17
2	14	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.3b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 x x))
✓	27.3b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (.f64 2 (.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (.f64 2 (.f64 x x)))
0.0ms	x	@	0	(.f64 2 (.f64 x x))
0.0ms	x	@	inf	(.f64 2 (.f64 x x))
0.0ms	x	@	-inf	(.f64 2 (.f64 x x))

rewrite110.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`rational_best-simplify-80`
938×	`rational_best-simplify-78`
884×	`rational_best-simplify-57`
618×	`rational_best-simplify-44`
410×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	69	30
2	231	30
3	923	30
4	4612	30

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 2 (.f64 x x))

Outputs
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simplify152.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational_best-simplify-80`
1098×	`rational_best-simplify-2`
1020×	`rational_best-simplify-78`
710×	`rational_best-simplify-94`
700×	`rational_best-simplify-49`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	302	3224
1	741	2954
2	1555	2920
3	3084	2844
4	4768	2796

Stop Event

1×	node limit

Counts

128 → 170

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 0)
(+.f64 0 (sqrt.f64 (.f64 2 (.f64 x x))))
(-.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (sqrt.f64 (.f64 2 (*.f64 x x))) 1)
(.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))))
(.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (*.f64 x x))))))
(.f64 1 (sqrt.f64 (.f64 2 (*.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 2 (*.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) 4)))))
(.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))) (/.f64 1 (sqrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (.f64 x x))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x))))) (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))) (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4))))) (sqrt.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4))) (.f64 x (.f64 (.f64 x x) 4))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) 4)))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 1)
(/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))))
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (*.f64 x x)))) 2)
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))) 2) -2)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 x x)))))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 2 (.f64 x x)) 0)
(+.f64 0 (.f64 2 (.f64 x x)))
(-.f64 (.f64 2 (.f64 x x)) 0)
(-.f64 0 (.f64 (neg.f64 (.f64 x x)) 2))
(/.f64 (.f64 2 (.f64 x x)) 1)
(/.f64 (.f64 2 (.f64 x x)) (/.f64 x x))
(/.f64 (.f64 (.f64 x x) 4) 2)
(/.f64 (neg.f64 (.f64 (.f64 x x) 4)) -2)
(pow.f64 (.f64 2 (.f64 x x)) 1)
(neg.f64 (.f64 (neg.f64 (.f64 x x)) 2))
(fabs.f64 (.f64 2 (.f64 x x)))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) 2))
(fabs.f64 (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (neg.f64 (/.f64 x x))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (.f64 x x)))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 x (fabs.f64 x))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (/.f64 x x) (fabs.f64 (/.f64 (/.f64 x x) (/.f64 x x))))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (+.f64 x x) (*.f64 (fabs.f64 x) 2))))
(fabs.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) 2) (fabs.f64 (/.f64 x x))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (neg.f64 (fabs.f64 (/.f64 x x)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 x x)) (.f64 2 (*.f64 x x))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 x x)) (.f64 (neg.f64 (*.f64 x x)) 2)))
(fabs.f64 (.f64 (fabs.f64 (/.f64 x x)) (.f64 1 (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) 2))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 x x)) (.f64 1 (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 x x) (.f64 (neg.f64 (.f64 x x)) 2))))
(fabs.f64 (.f64 1 (.f64 (/.f64 x x) (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) 2))))
(fabs.f64 (.f64 1 (.f64 (/.f64 x x) (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (.f64 2 (*.f64 x x)))))
(fabs.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (.f64 (neg.f64 (*.f64 x x)) 2))))
(fabs.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (.f64 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))) 2))))
(fabs.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (/.f64 (.f64 2 (*.f64 x x)) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 (/.f64 1 (.f64 2 (.f64 x x))) (.f64 (neg.f64 (.f64 x x)) 2))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 (/.f64 1 (.f64 2 (.f64 x x))) (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) 2))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 (/.f64 1 (.f64 2 (.f64 x x))) (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (-.f64 0 (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) 2)))
(fabs.f64 (-.f64 0 (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x)))))
(fabs.f64 (+.f64 (neg.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))) (neg.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (+.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)))
(fabs.f64 (+.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) x)))
(fabs.f64 (+.f64 (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) x) (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) x)))
(fabs.f64 (+.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))))
(fabs.f64 (+.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (+.f64 (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (neg.f64 x)) (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (neg.f64 x))))
(fabs.f64 (+.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x))))
(fabs.f64 (+.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (+.f64 (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (fabs.f64 x)) (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (fabs.f64 x))))
(fabs.f64 (+.f64 (.f64 x (/.f64 x (fabs.f64 (/.f64 x x)))) (.f64 x (/.f64 x (fabs.f64 (/.f64 x x))))))
(fabs.f64 (+.f64 (.f64 (neg.f64 x) (/.f64 x (fabs.f64 (/.f64 x x)))) (.f64 (neg.f64 x) (/.f64 x (fabs.f64 (/.f64 x x))))))
(fabs.f64 (+.f64 (.f64 (fabs.f64 x) (/.f64 x (fabs.f64 (/.f64 x x)))) (.f64 (fabs.f64 x) (/.f64 x (fabs.f64 (/.f64 x x))))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (.f64 x x) (neg.f64 (.f64 x x)))) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (neg.f64 (.f64 x x))))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 x (fabs.f64 x))) (/.f64 (.f64 x x) (/.f64 x (fabs.f64 x)))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (/.f64 x x) (fabs.f64 (/.f64 (/.f64 x x) (/.f64 x x))))) (/.f64 (.f64 x x) (/.f64 (/.f64 x x) (fabs.f64 (/.f64 (/.f64 x x) (/.f64 x x)))))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (neg.f64 x) (fabs.f64 x))) (/.f64 (.f64 x x) (/.f64 (neg.f64 x) (fabs.f64 x)))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (+.f64 x x) (.f64 (fabs.f64 x) 2))) (/.f64 (.f64 x x) (/.f64 (+.f64 x x) (.f64 (fabs.f64 x) 2)))))
(fabs.f64 (+.f64 (/.f64 (neg.f64 (.f64 x x)) (fabs.f64 (/.f64 x x))) (/.f64 (neg.f64 (.f64 x x)) (fabs.f64 (/.f64 x x)))))
(fabs.f64 (+.f64 (/.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (fabs.f64 (/.f64 x x))) (/.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (fabs.f64 (/.f64 x x)))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (neg.f64 (fabs.f64 (/.f64 x x)))) (/.f64 (.f64 x x) (neg.f64 (fabs.f64 (/.f64 x x))))))
(fabs.f64 (+.f64 (.f64 (fabs.f64 (/.f64 x x)) (.f64 x x)) (.f64 (fabs.f64 (/.f64 x x)) (.f64 x x))))
(fabs.f64 (+.f64 (.f64 (fabs.f64 (/.f64 x x)) (neg.f64 (.f64 x x))) (.f64 (fabs.f64 (/.f64 x x)) (neg.f64 (.f64 x x)))))
(fabs.f64 (+.f64 (.f64 (fabs.f64 (/.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))) (.f64 (fabs.f64 (/.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (+.f64 (.f64 (fabs.f64 (/.f64 x x)) (.f64 1 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))) (.f64 (fabs.f64 (/.f64 x x)) (.f64 1 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 x x) (neg.f64 (.f64 x x)))) (.f64 1 (.f64 (/.f64 x x) (neg.f64 (.f64 x x))))))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))) (.f64 1 (.f64 (/.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 x x) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))) (.f64 1 (.f64 (/.f64 x x) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))
(fabs.f64 (+.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x x)) (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x x))))
(fabs.f64 (+.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (neg.f64 (.f64 x x)))) (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (neg.f64 (.f64 x x))))))
(fabs.f64 (+.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))) (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))
(fabs.f64 (+.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))) (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))
(fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (neg.f64 (.f64 x x)))) (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (neg.f64 (.f64 x x))))))
(fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))) (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))
(fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))) (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (neg.f64 (.f64 x x))))) (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (neg.f64 (.f64 x x)))))))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))) (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))) (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 0)
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 0 (sqrt.f64 (.f64 2 (.f64 x x))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(-.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 0)
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(-.f64 0 (neg.f64 (sqrt.f64 (.f64 2 (.f64 x x)))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 2 (*.f64 x x))) 1)
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (*.f64 x x)))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (*.f64 x x))))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 1 (sqrt.f64 (.f64 2 (*.f64 x x))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 2 (*.f64 x x))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (*.f64 x 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
(.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))) (/.f64 1 (sqrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (*.f64 x 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (.f64 x x))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x))))) (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))) (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (*.f64 x x)))))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4))))) (sqrt.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4))) (.f64 x (.f64 (.f64 x x) 4))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4))))) (sqrt.f64 (.f64 x (.f64 (.f64 x (.f64 (.f64 x x) 4)) (.f64 x (.f64 x (.f64 (.f64 x x) 4)))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 4)) (.f64 (.f64 x x) (.f64 x 4)))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))))) (sqrt.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))) (.f64 x (.f64 (.f64 x x) (.f64 x 4))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 4)) (.f64 (.f64 x x) (*.f64 x 4)))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) 4)))))
(.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))))
(.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) 4)))))
(.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))) (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x))))) (sqrt.f64 (.f64 2 (*.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 1)
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (/.f64 (sqrt.f64 (.f64 2 (.f64 x x))) (sqrt.f64 (.f64 2 (.f64 x x)))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (*.f64 x x)))) 2)
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))) 2) -2)
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(pow.f64 (sqrt.f64 (.f64 2 (.f64 x x))) 1)
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 x x)))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(+.f64 (.f64 2 (.f64 x x)) 0)
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(+.f64 0 (.f64 2 (.f64 x x)))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(-.f64 (.f64 2 (.f64 x x)) 0)
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(-.f64 0 (.f64 (neg.f64 (.f64 x x)) 2))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(/.f64 (.f64 2 (.f64 x x)) 1)
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(/.f64 (.f64 2 (.f64 x x)) (/.f64 x x))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(/.f64 (.f64 (.f64 x x) 4) 2)
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 x x) 4)) -2)
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(pow.f64 (.f64 2 (.f64 x x)) 1)
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(neg.f64 (.f64 (neg.f64 (.f64 x x)) 2))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (.f64 2 (.f64 x x)))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) 2))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) 2))
(*.f64 x (+.f64 x x))
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(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))))
(*.f64 x (+.f64 x x))
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(fabs.f64 (+.f64 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))
(*.f64 x (+.f64 x x))
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(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (neg.f64 (/.f64 x x))))
(*.f64 x (+.f64 x x))
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(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (.f64 x x)))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))
(*.f64 x (+.f64 x x))
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(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 x (fabs.f64 x))))
(*.f64 x (+.f64 x x))
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(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (/.f64 x x) (fabs.f64 (/.f64 (/.f64 x x) (/.f64 x x))))))
(*.f64 x (+.f64 x x))
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(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (neg.f64 x) x)))
(fabs.f64 (/.f64 (*.f64 x (+.f64 x x)) (/.f64 (neg.f64 x) x)))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (+.f64 x x) (*.f64 (fabs.f64 x) 2))))
(fabs.f64 (/.f64 (.f64 2 (.f64 x x)) (/.f64 (+.f64 x x) (*.f64 2 (fabs.f64 x)))))
(fabs.f64 (/.f64 (.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (.f64 2 (fabs.f64 x)))))
(fabs.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) 2) (fabs.f64 (/.f64 x x))))
(*.f64 x (+.f64 x x))
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(*.f64 x (+.f64 x x))
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(*.f64 x (+.f64 x x))
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(fabs.f64 (.f64 (fabs.f64 (/.f64 x x)) (.f64 1 (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))))))
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(*.f64 x (+.f64 x x))
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(fabs.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (.f64 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))) 2))))
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(fabs.f64 (.f64 2 (.f64 (.f64 (.f64 (.f64 x x) -2) (/.f64 1 (.f64 2 (.f64 x x)))) (.f64 x x))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (/.f64 (.f64 (.f64 x x) -2) (.f64 2 (*.f64 x x)))))
(fabs.f64 (.f64 (.f64 (*.f64 x x) -2) (-.f64 (/.f64 x x) (/.f64 0 x))))
(fabs.f64 (.f64 (.f64 (.f64 x x) -2) (.f64 x (/.f64 1 x))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 (/.f64 1 (.f64 2 (.f64 x x))) (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) 2))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (.f64 (/.f64 1 (.f64 2 (.f64 x x))) 2))))
(fabs.f64 (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (.f64 (.f64 2 (.f64 x x)) (.f64 2 (/.f64 1 (.f64 2 (.f64 x x)))))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (/.f64 (.f64 2 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))) (.f64 2 (*.f64 x x)))))
(fabs.f64 (.f64 (.f64 2 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x)))) (-.f64 (/.f64 x x) (/.f64 0 x))))
(fabs.f64 (.f64 (.f64 2 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))) (.f64 x (/.f64 1 x))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 (/.f64 1 (.f64 2 (.f64 x x))) (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))) (/.f64 1 (.f64 2 (.f64 x x))))))
(fabs.f64 (.f64 (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))) (.f64 (.f64 2 (.f64 x x)) (/.f64 1 (.f64 2 (.f64 x x))))))
(fabs.f64 (.f64 (.f64 2 (.f64 x x)) (/.f64 (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x))) (.f64 2 (*.f64 x x)))))
(fabs.f64 (.f64 (/.f64 (.f64 2 (*.f64 x x)) (fabs.f64 (/.f64 x x))) (-.f64 (/.f64 x x) (/.f64 0 x))))
(fabs.f64 (.f64 (/.f64 (.f64 x (+.f64 x x)) (fabs.f64 (/.f64 x x))) (*.f64 x (/.f64 1 x))))
(fabs.f64 (-.f64 0 (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) 2)))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (-.f64 0 (/.f64 (.f64 2 (.f64 x x)) (fabs.f64 (/.f64 x x)))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (neg.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))) (neg.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)))
(fabs.f64 (*.f64 (neg.f64 x) (+.f64 x x)))
(fabs.f64 (.f64 x (.f64 x -2)))
(fabs.f64 (+.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) x)))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) x) (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) x)))
(fabs.f64 (*.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (+.f64 x x)))
(fabs.f64 (*.f64 (+.f64 x x) (/.f64 x (fabs.f64 (/.f64 x x)))))
(fabs.f64 (+.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (+.f64 x x)))
(fabs.f64 (.f64 x (.f64 x -2)))
(fabs.f64 (+.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (neg.f64 x)) (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (neg.f64 x))))
(fabs.f64 (*.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (+.f64 (neg.f64 x) (neg.f64 x))))
(fabs.f64 (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (.f64 x -2)))
(fabs.f64 (+.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) (fabs.f64 x))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (fabs.f64 x)) (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (fabs.f64 x))))
(fabs.f64 (*.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (+.f64 (fabs.f64 x) (fabs.f64 x))))
(fabs.f64 (*.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (fabs.f64 (+.f64 x x))))
(fabs.f64 (+.f64 (.f64 x (/.f64 x (fabs.f64 (/.f64 x x)))) (.f64 x (/.f64 x (fabs.f64 (/.f64 x x))))))
(fabs.f64 (*.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (+.f64 x x)))
(fabs.f64 (*.f64 (+.f64 x x) (/.f64 x (fabs.f64 (/.f64 x x)))))
(fabs.f64 (+.f64 (.f64 (neg.f64 x) (/.f64 x (fabs.f64 (/.f64 x x)))) (.f64 (neg.f64 x) (/.f64 x (fabs.f64 (/.f64 x x))))))
(fabs.f64 (*.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (+.f64 (neg.f64 x) (neg.f64 x))))
(fabs.f64 (.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (.f64 x -2)))
(fabs.f64 (+.f64 (.f64 (fabs.f64 x) (/.f64 x (fabs.f64 (/.f64 x x)))) (.f64 (fabs.f64 x) (/.f64 x (fabs.f64 (/.f64 x x))))))
(fabs.f64 (*.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (+.f64 (fabs.f64 x) (fabs.f64 x))))
(fabs.f64 (*.f64 (/.f64 x (fabs.f64 (/.f64 x x))) (fabs.f64 (+.f64 x x))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (.f64 x x) (neg.f64 (.f64 x x)))) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (neg.f64 (.f64 x x))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 x (fabs.f64 x))) (/.f64 (.f64 x x) (/.f64 x (fabs.f64 x)))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (/.f64 x x) (fabs.f64 (/.f64 (/.f64 x x) (/.f64 x x))))) (/.f64 (.f64 x x) (/.f64 (/.f64 x x) (fabs.f64 (/.f64 (/.f64 x x) (/.f64 x x)))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (neg.f64 x) (fabs.f64 x))) (/.f64 (.f64 x x) (/.f64 (neg.f64 x) (fabs.f64 x)))))
(+.f64 (fabs.f64 (/.f64 (.f64 x x) (/.f64 (neg.f64 x) x))) (fabs.f64 (/.f64 (.f64 x x) (/.f64 (neg.f64 x) x))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (neg.f64 x) x)) (/.f64 (.f64 x x) (/.f64 (neg.f64 x) x))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (+.f64 x x) (.f64 (fabs.f64 x) 2))) (/.f64 (.f64 x x) (/.f64 (+.f64 x x) (.f64 (fabs.f64 x) 2)))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (/.f64 (+.f64 x x) (.f64 2 (fabs.f64 x)))) (/.f64 (.f64 x x) (/.f64 (+.f64 x x) (.f64 2 (fabs.f64 x))))))
(fabs.f64 (+.f64 (/.f64 (neg.f64 (.f64 x x)) (fabs.f64 (/.f64 x x))) (/.f64 (neg.f64 (.f64 x x)) (fabs.f64 (/.f64 x x)))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (/.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (fabs.f64 (/.f64 x x))) (/.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (fabs.f64 (/.f64 x x)))))
(+.f64 (fabs.f64 (/.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (/.f64 x x))) (fabs.f64 (/.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (/.f64 x x))))
(fabs.f64 (+.f64 (/.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (/.f64 x x)) (/.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (/.f64 x x))))
(fabs.f64 (+.f64 (/.f64 (.f64 x x) (neg.f64 (fabs.f64 (/.f64 x x)))) (/.f64 (.f64 x x) (neg.f64 (fabs.f64 (/.f64 x x))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (fabs.f64 (/.f64 x x)) (.f64 x x)) (.f64 (fabs.f64 (/.f64 x x)) (.f64 x x))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (fabs.f64 (/.f64 x x)) (neg.f64 (.f64 x x))) (.f64 (fabs.f64 (/.f64 x x)) (neg.f64 (.f64 x x)))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (fabs.f64 (/.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))) (.f64 (fabs.f64 (/.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (fabs.f64 (/.f64 x x)) (.f64 1 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))) (.f64 (fabs.f64 (/.f64 x x)) (.f64 1 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 x x) (neg.f64 (.f64 x x)))) (.f64 1 (.f64 (/.f64 x x) (neg.f64 (.f64 x x))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))) (.f64 1 (.f64 (/.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 x x) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))) (.f64 1 (.f64 (/.f64 x x) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x x)) (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 x x))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (neg.f64 (.f64 x x)))) (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (neg.f64 (.f64 x x))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))) (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))) (.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (/.f64 1 (/.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 x x))
(fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (neg.f64 (.f64 x x)))) (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (neg.f64 (.f64 x x))))))
(fabs.f64 (.f64 (.f64 x x) (+.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))) (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))))))
(fabs.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (.f64 2 (*.f64 x x)) (-.f64 (/.f64 x x) (/.f64 0 x))))
(fabs.f64 (.f64 (.f64 x (+.f64 x x)) (*.f64 x (/.f64 1 x))))
(fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))) (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))
(fabs.f64 (.f64 (.f64 x x) (+.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))) (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))))))
(fabs.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (.f64 2 (*.f64 x x)) (-.f64 (/.f64 x x) (/.f64 0 x))))
(fabs.f64 (.f64 (.f64 x (+.f64 x x)) (*.f64 x (/.f64 1 x))))
(fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))) (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))
(fabs.f64 (.f64 (.f64 x x) (+.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))) (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))))))
(fabs.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (.f64 2 (*.f64 x x)) (-.f64 (/.f64 x x) (/.f64 0 x))))
(fabs.f64 (.f64 (.f64 x (+.f64 x x)) (*.f64 x (/.f64 1 x))))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (neg.f64 (.f64 x x))))) (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (neg.f64 (.f64 x x)))))))
(fabs.f64 (.f64 (.f64 x x) (+.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))) (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))))))
(fabs.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (.f64 2 (*.f64 x x)) (-.f64 (/.f64 x x) (/.f64 0 x))))
(fabs.f64 (.f64 (.f64 x (+.f64 x x)) (*.f64 x (/.f64 1 x))))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))) (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))))
(fabs.f64 (.f64 (.f64 x x) (+.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))) (.f64 (neg.f64 (.f64 x x)) (/.f64 1 (.f64 x x))))))
(fabs.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2))))
(fabs.f64 (.f64 (.f64 2 (*.f64 x x)) (-.f64 (/.f64 x x) (/.f64 0 x))))
(fabs.f64 (.f64 (.f64 x (+.f64 x x)) (*.f64 x (/.f64 1 x))))
(fabs.f64 (+.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))) (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))))
(fabs.f64 (.f64 1 (+.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))) (.f64 (/.f64 1 (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))))))))
(fabs.f64 (.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (/.f64 1 (.f64 x x)))) 2))
(fabs.f64 (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (.f64 (.f64 (.f64 x x) -2) (/.f64 1 (.f64 x x)))))
(fabs.f64 (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (.f64 (.f64 x x) (/.f64 -2 (*.f64 x x)))))
(fabs.f64 (.f64 2 (.f64 (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))) (-.f64 (/.f64 0 x) (/.f64 x x)))))

eval37.0ms (0.9%)

Compiler: Compiled 3410 to 1366 computations (59.9% saved)

prune25.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	165	5	170
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	6	171

Error

0.2b

Counts

171 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.3b	(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
▶	30.9b	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	32.0b	(*.f64 (sqrt.f64 2) x)
✓	28.3b	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	47.3b	(sqrt.f64 (fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2)))))
▶	28.4b	(sqrt.f64 (fabs.f64 (.f64 (.f64 (.f64 x x) -2) (.f64 x (/.f64 1 x)))))

Compiler

Compiled 133 to 89 computations (33.1% saved)

localize21.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) -2)
✓	0.2b	(*.f64 x (/.f64 1 x))
✓	27.3b	(sqrt.f64 (fabs.f64 (.f64 (.f64 (.f64 x x) -2) (.f64 x (/.f64 1 x)))))

Compiler

Compiled 56 to 32 computations (42.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x x) -2)
0.0ms	x	@	0	(sqrt.f64 (fabs.f64 (.f64 (.f64 (.f64 x x) -2) (.f64 x (/.f64 1 x)))))
0.0ms	x	@	inf	(sqrt.f64 (fabs.f64 (.f64 (.f64 (.f64 x x) -2) (.f64 x (/.f64 1 x)))))
0.0ms	x	@	0	(.f64 (.f64 x x) -2)
0.0ms	x	@	-inf	(sqrt.f64 (fabs.f64 (.f64 (.f64 (.f64 x x) -2) (.f64 x (/.f64 1 x)))))

rewrite60.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`rational_best-simplify-54`
976×	`rational_best-simplify-135`
732×	`rational_best-simplify-47`
706×	`rational_best-5`
704×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	111	65
2	373	43
3	1737	43

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (.f64 (.f64 (.f64 x x) -2) (.f64 x (/.f64 1 x)))))
(*.f64 x (/.f64 1 x))
(.f64 (.f64 x x) -2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x x) (neg.f64 (/.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x x) (/.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x x) 2) (+.f64 (/.f64 0 x) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (.f64 x (/.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (/.f64 1 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 x (/.f64 -1 x)) (.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))) (.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))) (.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 x (/.f64 -1 x)) (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))) (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (.f64 x (/.f64 -1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (neg.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (neg.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (*.f64 x x) (neg.f64 (/.f64 x x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x -2)) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 x x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 4)))) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 4))))) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 4)))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x x) (neg.f64 (/.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x x) (/.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x x) 2) (+.f64 (/.f64 0 x) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1 x)) (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 x (/.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (/.f64 1 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x (/.f64 -1 x)) (*.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))) (*.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))) (*.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x (/.f64 1 x)) (/.f64 (*.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x (/.f64 -1 x)) (/.f64 (*.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (*.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))) (/.f64 (*.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (/.f64 -1 x)) (fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 x (/.f64 1 x)) (neg.f64 (/.f64 (*.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (*.f64 x x) (neg.f64 (/.f64 x x))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x -2)) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 x x)))))))

simplify254.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

968×	`rational_best-simplify-47`
896×	`rational_best-simplify-132`
886×	`rational_best-simplify-43`
874×	`rational_best-simplify-2`
746×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1892
1	255	1880
2	502	1852
3	1339	1810
4	3889	1810
5	7187	1810

Stop Event

1×	node limit

Counts

94 → 94

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x 4))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x 4)))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(+.f64 (*.f64 x (/.f64 1 x)) 0)
(+.f64 0 (*.f64 x (/.f64 1 x)))
(+.f64 (/.f64 x x) (neg.f64 (/.f64 0 x)))
(-.f64 (*.f64 x (/.f64 1 x)) 0)
(-.f64 0 (*.f64 x (/.f64 -1 x)))
(-.f64 (/.f64 x x) (/.f64 0 x))
(-.f64 (*.f64 (/.f64 x x) 2) (+.f64 (/.f64 0 x) (/.f64 x x)))
(/.f64 (*.f64 x (/.f64 1 x)) 1)
(/.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))
(/.f64 (.f64 -2 (.f64 x (/.f64 1 x))) -2)
(/.f64 (.f64 x (.f64 (/.f64 1 x) 2)) 2)
(pow.f64 (*.f64 x (/.f64 1 x)) 1)
(neg.f64 (*.f64 x (/.f64 -1 x)))
(fabs.f64 (*.f64 x (/.f64 1 x)))
(fabs.f64 (*.f64 x (/.f64 -1 x)))
(fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))
(fabs.f64 (.f64 (.f64 x (/.f64 -1 x)) (*.f64 x (/.f64 1 x))))
(fabs.f64 (.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))) (*.f64 x (/.f64 1 x))))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))))
(fabs.f64 (.f64 (.f64 x (/.f64 -1 x)) (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))) (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))))
(fabs.f64 (/.f64 (.f64 x (/.f64 -1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))
(fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (neg.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (neg.f64 (.f64 x x)))))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))))
(+.f64 (.f64 x (.f64 x -2)) 0)
(+.f64 0 (.f64 x (.f64 x -2)))
(-.f64 (.f64 x (.f64 x -2)) 0)
(-.f64 0 (*.f64 x (+.f64 x x)))
(/.f64 (.f64 x (.f64 x -2)) 1)
(/.f64 (.f64 x (.f64 x -2)) (/.f64 x x))
(/.f64 (*.f64 x (+.f64 x x)) -1)
(/.f64 (.f64 x (.f64 x 4)) -2)
(/.f64 (.f64 x (.f64 x -4)) 2)
(pow.f64 (.f64 x (.f64 x -2)) 1)
(neg.f64 (*.f64 x (+.f64 x x)))

Outputs
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x 4) (.f64 x (.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (.f64 x 4))))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x 4) (.f64 x (.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (.f64 x 4))))))
(.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x 4))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))))) (sqrt.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))) (.f64 x (.f64 (.f64 x x) (*.f64 x 4))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4))))) (sqrt.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4))) (.f64 x (.f64 (*.f64 x x) 4))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x 4) (.f64 x (.f64 x x))))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x 4) (.f64 (.f64 (.f64 x 4) (.f64 x (*.f64 x x))) x)))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x 4) (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x 4))))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (.f64 x 4)))))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 4)) (.f64 x (.f64 x (.f64 x (*.f64 x 4))))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x 4) (.f64 x (.f64 x x)))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 x (.f64 x 4))))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x 4)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 (.f64 x x) 4)))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x 4) (.f64 x (.f64 x x)))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 x (.f64 x 4))))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 (*.f64 x (/.f64 1 x)) 0)
(*.f64 x (/.f64 1 x))
(+.f64 0 (*.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 1 x))
(+.f64 (/.f64 x x) (neg.f64 (/.f64 0 x)))
(*.f64 x (/.f64 1 x))
(-.f64 (*.f64 x (/.f64 1 x)) 0)
(*.f64 x (/.f64 1 x))
(-.f64 0 (*.f64 x (/.f64 -1 x)))
(*.f64 x (/.f64 1 x))
(-.f64 (/.f64 x x) (/.f64 0 x))
(*.f64 x (/.f64 1 x))
(-.f64 (*.f64 (/.f64 x x) 2) (+.f64 (/.f64 0 x) (/.f64 x x)))
(-.f64 (*.f64 2 (/.f64 x x)) (+.f64 (/.f64 x x) (/.f64 0 x)))
(/.f64 (*.f64 x (/.f64 1 x)) 1)
(*.f64 x (/.f64 1 x))
(/.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))
(*.f64 x (/.f64 1 x))
(/.f64 (.f64 -2 (.f64 x (/.f64 1 x))) -2)
(*.f64 x (/.f64 1 x))
(/.f64 (.f64 x (.f64 (/.f64 1 x) 2)) 2)
(*.f64 x (/.f64 1 x))
(pow.f64 (*.f64 x (/.f64 1 x)) 1)
(*.f64 x (/.f64 1 x))
(neg.f64 (*.f64 x (/.f64 -1 x)))
(*.f64 x (/.f64 1 x))
(fabs.f64 (*.f64 x (/.f64 1 x)))
(fabs.f64 (*.f64 x (/.f64 -1 x)))
(fabs.f64 (*.f64 x (/.f64 1 x)))
(fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))
(fabs.f64 (*.f64 x (/.f64 1 x)))
(fabs.f64 (.f64 (.f64 x (/.f64 -1 x)) (*.f64 x (/.f64 1 x))))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 x (.f64 (/.f64 (/.f64 1 x) x) (*.f64 -1 x))))
(.f64 x (.f64 (/.f64 1 x) (*.f64 x (/.f64 1 x))))
(.f64 x (.f64 x (/.f64 (/.f64 1 x) x)))
(fabs.f64 (.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))) (*.f64 x (/.f64 1 x))))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 x (.f64 (/.f64 (/.f64 1 x) x) (*.f64 -1 x))))
(.f64 x (.f64 (/.f64 1 x) (*.f64 x (/.f64 1 x))))
(.f64 x (.f64 x (/.f64 (/.f64 1 x) x)))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 x (.f64 (/.f64 (/.f64 1 x) x) (*.f64 -1 x))))
(.f64 x (.f64 (/.f64 1 x) (*.f64 x (/.f64 1 x))))
(.f64 x (.f64 x (/.f64 (/.f64 1 x) x)))
(fabs.f64 (.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 x (.f64 (/.f64 (/.f64 1 x) x) (*.f64 -1 x))))
(.f64 x (.f64 (/.f64 1 x) (*.f64 x (/.f64 1 x))))
(.f64 x (.f64 x (/.f64 (/.f64 1 x) x)))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 x (.f64 (/.f64 (/.f64 1 x) x) (*.f64 -1 x))))
(.f64 x (.f64 (/.f64 1 x) (*.f64 x (/.f64 1 x))))
(.f64 x (.f64 x (/.f64 (/.f64 1 x) x)))
(fabs.f64 (.f64 (.f64 x (/.f64 -1 x)) (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 x (.f64 (/.f64 (/.f64 1 x) x) (*.f64 -1 x))))
(.f64 x (.f64 (/.f64 1 x) (*.f64 x (/.f64 1 x))))
(.f64 x (.f64 x (/.f64 (/.f64 1 x) x)))
(fabs.f64 (.f64 (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (.f64 x (/.f64 1 x))))) (/.f64 (.f64 x (/.f64 1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x)))))))
(fabs.f64 (.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 -1 x))))
(fabs.f64 (.f64 x (.f64 (/.f64 (/.f64 1 x) x) (*.f64 -1 x))))
(.f64 x (.f64 (/.f64 1 x) (*.f64 x (/.f64 1 x))))
(.f64 x (.f64 x (/.f64 (/.f64 1 x) x)))
(fabs.f64 (/.f64 (.f64 x (/.f64 -1 x)) (fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))
(fabs.f64 (*.f64 x (/.f64 1 x)))
(fabs.f64 (/.f64 (.f64 x (/.f64 1 x)) (neg.f64 (/.f64 (.f64 x (/.f64 1 x)) (*.f64 x (/.f64 1 x))))))
(fabs.f64 (*.f64 x (/.f64 1 x)))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (neg.f64 (.f64 x x)))))
(fabs.f64 (*.f64 x (/.f64 1 x)))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))))))
(fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (*.f64 x x) (fabs.f64 (/.f64 x x)))))
(fabs.f64 (.f64 1 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))))
(fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 1 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))))))
(fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 (*.f64 x x) (neg.f64 (/.f64 x x)))))
(+.f64 (.f64 x (.f64 x -2)) 0)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(+.f64 0 (.f64 x (.f64 x -2)))
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(-.f64 (.f64 x (.f64 x -2)) 0)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(-.f64 0 (*.f64 x (+.f64 x x)))
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(/.f64 (.f64 x (.f64 x -2)) 1)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(/.f64 (.f64 x (.f64 x -2)) (/.f64 x x))
(.f64 (/.f64 (.f64 -2 x) x) (*.f64 x x))
(.f64 x (.f64 (/.f64 (*.f64 -2 x) x) x))
(.f64 (.f64 x x) (/.f64 (*.f64 -2 x) x))
(/.f64 (*.f64 x (+.f64 x x)) -1)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(/.f64 (.f64 x (.f64 x 4)) -2)
(/.f64 (.f64 x (.f64 x -4)) 2)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -2)) 1)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(neg.f64 (*.f64 x (+.f64 x x)))
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) x)
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) x)
0.0ms	x	@	0	(*.f64 (sqrt.f64 2) x)

rewrite64.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational_best-2`
1432×	`rational_best-3`
1432×	`rational_best-1`
1430×	`rational_best-4`
1430×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	58	11
2	184	11
3	754	11
4	2981	11

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) x) (/.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)))))))

simplify136.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1570×	`rational_best-simplify-132`
1338×	`rational_best-simplify-80`
1212×	`rational_best-simplify-78`
998×	`rational_best-simplify-82`
718×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	99
1	36	99
2	75	99
3	205	99
4	967	99
5	2641	99
6	5361	99

Stop Event

1×	node limit

Counts

9 → 10

Calls

Call 1

Inputs
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) x)))
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 (.f64 (sqrt.f64 2) x) (/.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x)))
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)))

Outputs
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(/.f64 (.f64 (sqrt.f64 2) x) (/.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 2)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(*.f64 (sqrt.f64 2) x)
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 2) x)))
(*.f64 (sqrt.f64 2) x)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sqrt.f64 2) (neg.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (neg.f64 x))

rewrite131.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`rational_best-2`
1656×	`rational_best-1`
1650×	`rational_best-3`
1648×	`rational_best-4`
1648×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	70	15
2	226	15
3	876	15
4	3511	15

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (neg.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) x))))))

simplify142.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational_best-simplify-132`
1292×	`rational_best-simplify-80`
1160×	`rational_best-simplify-78`
1124×	`rational_best-simplify-2`
1016×	`rational_best-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	315
1	45	315
2	89	315
3	229	315
4	1179	315
5	2748	315
6	5464	315

Stop Event

1×	node limit

Counts

21 → 11

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1)
(/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (neg.f64 x))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) 2)
(/.f64 (*.f64 (sqrt.f64 2) x) -1)
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1)
(neg.f64 (*.f64 (sqrt.f64 2) x))

Outputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(+.f64 0 (*.f64 (sqrt.f64 2) (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 0)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) (neg.f64 x))))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x -2)) 2)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 2) x) -1)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(pow.f64 (*.f64 (sqrt.f64 2) (neg.f64 x)) 1)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))

localize117.0ms (2.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x x) (.f64 (.f64 x x) -2))
✓	0.4b	(/.f64 1 (*.f64 x x))
✓	27.3b	(sqrt.f64 (fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2)))))
✓	45.2b	(.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2)))

Compiler

Compiled 74 to 32 computations (56.8% saved)

series2.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite130.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`rational_best-simplify-43`
796×	`rational_best-5`
794×	`rational_best-4`
794×	`rational_best-2`
794×	`rational_best-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	132
1	109	120
2	363	68
3	1814	68
4	7169	68

Stop Event

1×	node limit

Counts

4 → 59

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2)))
(sqrt.f64 (fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2)))))
(/.f64 1 (*.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) -2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x -2)) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))))) (sqrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))) (.f64 (.f64 x x) (.f64 x (.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (/.f64 1 (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (.f64 x x)))) (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))) (.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (.f64 x x)))) (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x (.f64 x (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (.f64 x x) (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 x x) (.f64 x (+.f64 x x))))))))

simplify277.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

992×	`rational_best-simplify-2`
694×	`rational_best-simplify-54`
654×	`rational_best-simplify-44`
636×	`rational_best-simplify-132`
512×	`rational_best-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	2087
1	206	2087
2	405	2087
3	1332	2087
4	3287	2087
5	6124	2087

Stop Event

1×	node limit

Counts

107 → 107

Calls

Call 1

Inputs
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(+.f64 (.f64 x (.f64 x -2)) 0)
(+.f64 0 (.f64 x (.f64 x -2)))
(-.f64 (.f64 x (.f64 x -2)) 0)
(-.f64 0 (*.f64 x (+.f64 x x)))
(/.f64 (.f64 x (.f64 x -2)) 1)
(/.f64 (.f64 x (.f64 x -2)) (/.f64 x x))
(/.f64 (*.f64 x (+.f64 x x)) -1)
(/.f64 (.f64 x (.f64 x 4)) -2)
(/.f64 (.f64 x (.f64 x -4)) 2)
(pow.f64 (.f64 x (.f64 x -2)) 1)
(neg.f64 (*.f64 x (+.f64 x x)))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))))) (sqrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))) (.f64 (.f64 x x) (.f64 x (*.f64 x 4))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x 4)))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x x)) 0)
(+.f64 0 (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 (*.f64 x x)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (*.f64 x x))))
(.f64 1 (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (.f64 x x)) 1)
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))))
(.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (/.f64 1 (.f64 x x)))
(.f64 (/.f64 1 (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (*.f64 x x))))
(.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (/.f64 1 (/.f64 1 (*.f64 x x))))
(.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (.f64 x x)))) (/.f64 1 (*.f64 x x)))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))) (.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (*.f64 x x))))
(.f64 (/.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (.f64 x x)))) (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))))
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(neg.f64 (neg.f64 (/.f64 1 (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 0)
(+.f64 0 (.f64 x (.f64 x (.f64 x (.f64 x -2)))))
(-.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 0)
(-.f64 0 (.f64 (.f64 x x) (*.f64 x (+.f64 x x))))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 1)
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) (/.f64 x x))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -4))) 2)
(pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 1)
(neg.f64 (.f64 (.f64 x x) (*.f64 x (+.f64 x x))))

Outputs
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(sqrt.f64 (fabs.f64 (*.f64 -2 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(*.f64 -2 (pow.f64 x 4))
(+.f64 (.f64 x (.f64 x -2)) 0)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(+.f64 0 (.f64 x (.f64 x -2)))
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(-.f64 (.f64 x (.f64 x -2)) 0)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(-.f64 0 (*.f64 x (+.f64 x x)))
(neg.f64 (*.f64 x (+.f64 x x)))
(*.f64 (+.f64 x x) (neg.f64 x))
(/.f64 (.f64 x (.f64 x -2)) 1)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(/.f64 (.f64 x (.f64 x -2)) (/.f64 x x))
(.f64 (/.f64 (.f64 -2 x) x) (*.f64 x x))
(.f64 x (.f64 (/.f64 (*.f64 -2 x) x) x))
(.f64 x (.f64 x (/.f64 (*.f64 -2 x) x)))
(.f64 (.f64 -2 (*.f64 x x)) (/.f64 x x))
(/.f64 (*.f64 x (+.f64 x x)) -1)
(neg.f64 (*.f64 x (+.f64 x x)))
(*.f64 (+.f64 x x) (neg.f64 x))
(/.f64 (.f64 x (.f64 x 4)) -2)
(/.f64 (.f64 4 (.f64 x x)) -2)
(/.f64 (.f64 x (.f64 x -4)) 2)
(pow.f64 (.f64 x (.f64 x -2)) 1)
(.f64 x (.f64 -2 x))
(.f64 -2 (.f64 x x))
(neg.f64 (*.f64 x (+.f64 x x)))
(*.f64 (+.f64 x x) (neg.f64 x))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(-.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 0)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x))))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x (.f64 x 4)) (.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x 4) (.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x (.f64 x 4)) (.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x 4) (.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))))) (sqrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4))) (.f64 (.f64 x x) (.f64 x (*.f64 x 4))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))))) (sqrt.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))) (.f64 x (.f64 (.f64 x x) (*.f64 x 4))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 x x)) (.f64 (.f64 x 4) (*.f64 x x))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x (.f64 x 4)) (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x 4) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 4)) (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x 4) (.f64 x x))))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x 4)) (.f64 (.f64 x 4) (*.f64 x x))))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 x 4)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x (.f64 x 4)) (.f64 x x))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x 4) (.f64 x x)))) (/.f64 (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x 4)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 x x))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x (.f64 x 4)) (.f64 x x))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x 4) (.f64 x x)))) (/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x))))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (/.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x x))) 2) 2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) 1)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 (/.f64 1 (*.f64 x x)) 0)
(/.f64 1 (*.f64 x x))
(+.f64 0 (/.f64 1 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (*.f64 x x)) 0)
(/.f64 1 (*.f64 x x))
(-.f64 0 (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(.f64 1 (/.f64 1 (.f64 x x)))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) 1)
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (*.f64 x x)))))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (/.f64 1 (.f64 x x)))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (/.f64 1 (/.f64 1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (.f64 x x)))) (/.f64 1 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))) (.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x)))))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))) (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (/.f64 1 (.f64 x x)))) (/.f64 1 (.f64 x x))) (.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 x x))))
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(/.f64 1 (*.f64 x x))
(neg.f64 (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 0)
(.f64 x (.f64 x (.f64 x (.f64 -2 x))))
(.f64 x (.f64 (.f64 -2 x) (.f64 x x)))
(.f64 x (.f64 -2 (.f64 x (.f64 x x))))
(+.f64 0 (.f64 x (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 x (.f64 x (.f64 -2 x))))
(.f64 x (.f64 (.f64 -2 x) (.f64 x x)))
(.f64 x (.f64 -2 (.f64 x (.f64 x x))))
(-.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 0)
(.f64 x (.f64 x (.f64 x (.f64 -2 x))))
(.f64 x (.f64 (.f64 -2 x) (.f64 x x)))
(.f64 x (.f64 -2 (.f64 x (.f64 x x))))
(-.f64 0 (.f64 (.f64 x x) (*.f64 x (+.f64 x x))))
(neg.f64 (.f64 x (.f64 (*.f64 x x) (+.f64 x x))))
(neg.f64 (.f64 x (.f64 (+.f64 x x) (*.f64 x x))))
(.f64 (.f64 x x) (neg.f64 (*.f64 x (+.f64 x x))))
(.f64 (neg.f64 (.f64 x (+.f64 x x))) (*.f64 x x))
(.f64 x (neg.f64 (.f64 x (*.f64 x (+.f64 x x)))))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 1)
(.f64 x (.f64 x (.f64 x (.f64 -2 x))))
(.f64 x (.f64 (.f64 -2 x) (.f64 x x)))
(.f64 x (.f64 -2 (.f64 x (.f64 x x))))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) (/.f64 x x))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 -2 x))) x) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (.f64 (.f64 -2 x) (*.f64 x x)) x))
(.f64 (/.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 -2 x)))))
(.f64 (/.f64 x x) (.f64 x (.f64 -2 (.f64 x (*.f64 x x)))))
(.f64 (/.f64 x x) (.f64 x (.f64 (.f64 -2 x) (*.f64 x x))))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -4))) 2)
(/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x -4))) 2)
(/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) -4))) 2)
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x -4)))) 2)
(/.f64 (.f64 x (.f64 (.f64 x -4) (.f64 x x))) 2)
(/.f64 (.f64 -4 (.f64 (.f64 x x) (.f64 x x))) 2)
(pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x -2)))) 1)
(.f64 x (.f64 x (.f64 x (.f64 -2 x))))
(.f64 x (.f64 (.f64 -2 x) (.f64 x x)))
(.f64 x (.f64 -2 (.f64 x (.f64 x x))))
(neg.f64 (.f64 (.f64 x x) (*.f64 x (+.f64 x x))))
(neg.f64 (.f64 x (.f64 (*.f64 x x) (+.f64 x x))))
(neg.f64 (.f64 x (.f64 (+.f64 x x) (*.f64 x x))))
(.f64 (.f64 x x) (neg.f64 (*.f64 x (+.f64 x x))))
(.f64 (neg.f64 (.f64 x (+.f64 x x))) (*.f64 x x))
(.f64 x (neg.f64 (.f64 x (*.f64 x (+.f64 x x)))))

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))
✓	16.9b	(sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))))
✓	27.3b	(sqrt.f64 (*.f64 x (+.f64 x x)))
✓	27.4b	(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))

Compiler

Compiled 77 to 31 computations (59.7% saved)

series88.0ms (2.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
86.0ms	x	@	-inf	(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
1.0ms	x	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
0.0ms	x	@	inf	(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
0.0ms	x	@	0	(/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite70.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`rational_best-simplify-135`
874×	`rational_best-5`
872×	`rational_best-4`
872×	`rational_best-2`
872×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	126
1	136	126
2	444	126
3	1902	126

Stop Event

1×	node limit

Counts

4 → 61

Calls

Call 1

Inputs
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4))))
(/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (sqrt.f64 (.f64 (.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))) (.f64 (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (*.f64 x x) 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x))))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x)))))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x))))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2))) 1)))))

simplify146.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

926×	`rational_best-simplify-44`
906×	`rational_best-simplify-49`
716×	`rational_best-simplify-80`
654×	`rational_best-simplify-50`
614×	`rational_best-simplify-82`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	3297
1	237	3285
2	529	3281
3	2021	3281
4	4294	3281

Stop Event

1×	node limit

Counts

109 → 116

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 -1 (*.f64 (sqrt.f64 2) x))
(/.f64 -1 (*.f64 (sqrt.f64 2) x))
(/.f64 -1 (*.f64 (sqrt.f64 2) x))
(/.f64 -1 (*.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))) 0)
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))) 0)
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))) 1)
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 2)) 2)
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))) 1)
(+.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 0)
(+.f64 0 (sqrt.f64 (.f64 (.f64 x x) 2)))
(-.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 0)
(.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) 2)) 1)
(.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (*.f64 x x) 2))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (*.f64 x x) 2)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (*.f64 x x) 2)))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (sqrt.f64 (.f64 (.f64 x x) 2)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))) (.f64 (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))
(/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 1)
(/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (.f64 x x) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 x x) 2)) 2) 2)
(pow.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 1)
(+.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 0)
(+.f64 0 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))
(-.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 0)
(.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))) 1)
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (*.f64 x x))))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x))))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x)))))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x))))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x)))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x 16)) (.f64 x x))))))
(/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 1)
(/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))) 2) 2)
(pow.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 1)
(+.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) 0)
(+.f64 0 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))
(-.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) 0)
(.f64 1 (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2))) 1)
(.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2))))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2)))))
(pow.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) 1)

Outputs
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 (/.f64 x (sqrt.f64 2)) -2)
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 (/.f64 x (sqrt.f64 2)) -2)
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 (/.f64 x (sqrt.f64 2)) -2)
(*.f64 -2 (/.f64 x (sqrt.f64 2)))
(*.f64 (/.f64 x (sqrt.f64 2)) -2)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 (sqrt.f64 2) (.f64 -1 x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 x (sqrt.f64 2)))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 x (sqrt.f64 2)))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 x (sqrt.f64 2)))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 x (sqrt.f64 2)))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 x (sqrt.f64 2)))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 x (sqrt.f64 2)))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 x (sqrt.f64 2)))
(/.f64 1 (*.f64 (sqrt.f64 2) x))
(/.f64 1 (*.f64 x (sqrt.f64 2)))
(/.f64 -1 (*.f64 (sqrt.f64 2) x))
(/.f64 -1 (*.f64 x (sqrt.f64 2)))
(/.f64 -1 (*.f64 (sqrt.f64 2) x))
(/.f64 -1 (*.f64 x (sqrt.f64 2)))
(/.f64 -1 (*.f64 (sqrt.f64 2) x))
(/.f64 -1 (*.f64 x (sqrt.f64 2)))
(/.f64 -1 (*.f64 (sqrt.f64 2) x))
(/.f64 -1 (*.f64 x (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))) 0)
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 4 (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (*.f64 x 4))))))
(+.f64 0 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 4 (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (*.f64 x 4))))))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))) 0)
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 4 (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (*.f64 x 4))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))) 1)
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 4 (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (*.f64 x 4))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 4 (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (*.f64 x 4))))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) 4))) 2)) 2)
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 4 (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (*.f64 x 4))))))
(pow.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))) 1)
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 4 (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (.f64 x (.f64 x (.f64 x (*.f64 x 4))))))
(+.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 0)
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 0 (sqrt.f64 (.f64 (.f64 x x) 2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(-.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) 0)
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) 2)) 1)
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (*.f64 x x) 2))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (*.f64 x x) 2)))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (fabs.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) 4)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (fabs.f64 (.f64 4 (.f64 (.f64 x x) (*.f64 x x))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (fabs.f64 (.f64 x (.f64 x (.f64 x (*.f64 x 4)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x x) 2)) (sqrt.f64 (.f64 (.f64 x x) 2))) (sqrt.f64 (.f64 (*.f64 x x) 2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
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(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))) (.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2))))))
(/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))))
(/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))))) (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2)))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) (/.f64 1 (sqrt.f64 (.f64 (*.f64 x x) 2)))))
(/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))
(pow.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 x x) 2))) 1)
(/.f64 1 (sqrt.f64 (.f64 2 (.f64 x x))))

eval374.0ms (9%)

Compiler: Compiled 8447 to 4207 computations (50.2% saved)

prune45.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	336	2	338
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	339	5	344

Error

0.0b

Counts

344 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(*.f64 (/.f64 x (sqrt.f64 2)) -2)
✓	30.9b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	32.0b	(*.f64 (sqrt.f64 2) x)
▶	32.1b	(*.f64 2 (/.f64 x (sqrt.f64 2)))
✓	28.3b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 x (sqrt.f64 2))

Compiler

Compiled 15 to 12 computations (20% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 x (sqrt.f64 2))
0.0ms	x	@	0	(/.f64 x (sqrt.f64 2))
0.0ms	x	@	inf	(/.f64 x (sqrt.f64 2))

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`rational_best-2`
1384×	`rational_best-3`
1384×	`rational_best-1`
1382×	`rational_best-4`
1380×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	57	11
2	183	11
3	745	11
4	2889	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 x (sqrt.f64 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 1 (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 (/.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 x (sqrt.f64 2))))))))

simplify146.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1316×	`rational_best-simplify-80`
1176×	`rational_best-simplify-78`
818×	`rational_best-simplify-54`
810×	`rational_best-simplify-2`
656×	`rational_best-simplify-82`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	341
1	112	341
2	277	341
3	883	341
4	2315	341
5	4788	341

Stop Event

1×	node limit

Counts

31 → 32

Calls

Call 1

Inputs
(+.f64 (/.f64 x (sqrt.f64 2)) 0)
(+.f64 0 (/.f64 x (sqrt.f64 2)))
(-.f64 (/.f64 x (sqrt.f64 2)) 0)
(-.f64 0 (neg.f64 (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 x (sqrt.f64 2)) 1)
(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))
(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 1 (/.f64 x (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 1 (/.f64 x (sqrt.f64 2))))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))
(.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))) (.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(pow.f64 (/.f64 x (sqrt.f64 2)) 1)
(neg.f64 (neg.f64 (/.f64 x (sqrt.f64 2))))

Outputs
(+.f64 (/.f64 x (sqrt.f64 2)) 0)
(/.f64 x (sqrt.f64 2))
(+.f64 0 (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(-.f64 (/.f64 x (sqrt.f64 2)) 0)
(/.f64 x (sqrt.f64 2))
(-.f64 0 (neg.f64 (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) 1)
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(*.f64 1 (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 1 (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))) (.f64 (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))
(/.f64 x (sqrt.f64 2))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(pow.f64 (/.f64 x (sqrt.f64 2)) 1)
(/.f64 x (sqrt.f64 2))
(neg.f64 (neg.f64 (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.5b	(/.f64 x (sqrt.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

eval152.0ms (3.6%)

Compiler: Compiled 1687 to 1383 computations (18% saved)

prune9.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	64	5	69

Error

0.0b

Counts

69 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(*.f64 (/.f64 x (sqrt.f64 2)) -2)
✓	30.9b	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	32.0b	(*.f64 (sqrt.f64 2) x)
✓	32.1b	(*.f64 2 (/.f64 x (sqrt.f64 2)))
✓	28.3b	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes224.0ms (5.4%)

Accuracy

Total -63.1b remaining (-15988.7%)

Threshold costs -63.1b (-15988.7%)

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(sqrt.f64 (.f64 2 (.f64 x x)))
(*.f64 2 (/.f64 x (sqrt.f64 2)))
(*.f64 (/.f64 x (sqrt.f64 2)) -2)
(sqrt.f64 (fabs.f64 (.f64 (.f64 (.f64 x x) -2) (.f64 x (/.f64 1 x)))))
(sqrt.f64 (fabs.f64 (.f64 (/.f64 1 (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) -2)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (.f64 x (.f64 (.f64 x x) (.f64 x 4)))))

Outputs
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (sqrt.f64 2) x)

Calls

4 calls:

103.0ms	(.f64 2 (.f64 x x))
98.0ms	(*.f64 x x)
11.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
9.0ms	x

Results

Error	Segments	Branch
0.4b	2	`x`
11.4b	3	`(sqrt.f64 (.f64 2 (.f64 x x)))`
11.4b	3	`(.f64 2 (.f64 x x))`
11.4b	3	`(*.f64 x x)`

Compiler

Compiled 96 to 61 computations (36.5% saved)

bsearch17.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-1.635127462965333e-306	8.806479124310309e-301

Results

14.0ms

160×

body

256

valid

Compiler

Compiled 141 to 118 computations (16.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x))

(*.f64 (sqrt.f64 2) x)

Outputs

(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (*.f64 (sqrt.f64 2) (neg.f64 x)) (*.f64 (sqrt.f64 2) x))

(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 19 to 15 computations (21.1% saved)

soundness272.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational_best-simplify-80`
1098×	`rational_best-simplify-2`
1020×	`rational_best-simplify-78`
710×	`rational_best-simplify-94`
700×	`rational_best-simplify-49`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	302	3224
1	741	2954
2	1555	2920
3	3084	2844
4	4768	2796

Stop Event

1×	node limit

Compiler

Compiled 24 to 20 computations (16.7% saved)

end23.0ms (0.6%)

Compiler: Compiled 18 to 14 computations (22.2% saved)

Details

analyze4.0ms (0.1%)

sample797.0ms (19.1%)

preprocess6.0ms (0.1%)

simplify13.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series2.0ms (0%)

rewrite110.0ms (2.6%)

simplify152.0ms (3.6%)

eval37.0ms (0.9%)

prune25.0ms (0.6%)

localize21.0ms (0.5%)

series1.0ms (0%)

rewrite60.0ms (1.4%)

simplify254.0ms (6.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite64.0ms (1.5%)

simplify136.0ms (3.3%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite131.0ms (3.1%)

simplify142.0ms (3.4%)

localize117.0ms (2.8%)

series2.0ms (0.1%)

rewrite130.0ms (3.1%)

simplify277.0ms (6.6%)

localize24.0ms (0.6%)

series88.0ms (2.1%)

rewrite70.0ms (1.7%)

simplify146.0ms (3.5%)

eval374.0ms (9%)

prune45.0ms (1.1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite67.0ms (1.6%)

simplify146.0ms (3.5%)

localize8.0ms (0.2%)

eval152.0ms (3.6%)

prune9.0ms (0.2%)

regimes224.0ms (5.4%)

bsearch17.0ms (0.4%)

simplify2.0ms (0.1%)

soundness272.0ms (6.5%)

end23.0ms (0.6%)

Profiling