Details

analyze86.0ms (0.6%)

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
33.3%	25%	50%	0%	0%	25%	0%	3
60%	37.5%	25%	0%	0%	37.5%	0%	4
77.8%	43.7%	12.5%	0%	0%	43.7%	0%	5
88.2%	46.9%	6.2%	0%	0%	46.9%	0%	6
93.9%	48.4%	3.1%	0%	0%	48.4%	0%	7
96.9%	49.2%	1.6%	0%	0%	49.2%	0%	8
98.4%	49.6%	0.8%	0%	0%	49.6%	0%	9
99.2%	49.8%	0.4%	0%	0%	49.8%	0%	10
99.6%	49.9%	0.2%	0%	0%	49.9%	0%	11
99.8%	49.9%	0.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.1s (14.6%)

Results

766.0ms	4957×	body	256	valid
732.0ms	2045×	body	1024	valid
420.0ms	990×	body	512	valid
165.0ms	264×	body	2048	valid
1.0ms	10×	body	256	invalid

Bogosity

preprocess101.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-1`
2×	`rational_best-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	12	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-1`
2×	`rational_best-simplify-16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	12	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% 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

27.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	2.4b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series3.0ms (0%)

Counts

2 → 5

Calls

6 calls:

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

rewrite147.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational_best-simplify-82`
860×	`rational_best-simplify-57`
672×	`rational_best-simplify-80`
628×	`rational_best-simplify-43`
562×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	74	32
2	244	32
3	992	32
4	4200	32

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs
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Outputs

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simplify171.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational_best-simplify-80`
1260×	`rational_best-simplify-78`
1084×	`rational_best-simplify-2`
890×	`rational_best-simplify-132`
740×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	1494
1	271	1494
2	808	1330
3	2058	1330
4	5042	1330

Stop Event

1×	node limit

Counts

80 → 88

Calls

Call 1

Inputs
1
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 x)) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
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(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
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(.f64 (/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(.f64 (/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2) -2)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))))
(.f64 (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
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(.f64 (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))))
(/.f64 (sqrt.f64 (+.f64 x 1)) 1)
(/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 2) -2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))))

Outputs
1
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 1 (*.f64 1/2 x))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 1 (.f64 1/16 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0)
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(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
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(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))
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(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 x)) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
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(.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 (/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) 2) -2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 1 x))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 1 x))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(.f64 (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(.f64 (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))) (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(.f64 (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (+.f64 1 x))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(sqrt.f64 (+.f64 1 x))
(.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(sqrt.f64 (+.f64 1 x))
(.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)
(sqrt.f64 (+.f64 1 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 2) -2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))

eval35.0ms (0.2%)

Compiler: Compiled 2318 to 1565 computations (32.5% saved)

prune107.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	8	89

Error

26.8b

Counts

89 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.1b	(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
▶	28.5b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
▶	28.2b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 x))
✓	27.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶	27.7b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))
▶	27.7b	(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
	28.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
	30.3b	1

Compiler

Compiled 384 to 284 computations (26% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	2.5b	(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))

Compiler

Compiled 52 to 37 computations (28.8% saved)

series4.0ms (0%)

Counts

2 → 2

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
1.0ms	x	@	-inf	(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
0.0ms	x	@	-inf	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0ms	x	@	inf	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0ms	x	@	0	(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))

rewrite110.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`rational_best-simplify-57`
616×	`rational_best-simplify-44`
592×	`rational_best-5`
592×	`rational_best-2`
592×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	116	68
2	351	68
3	1367	68
4	5699	68

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

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

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simplify228.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1518×	`rational_best-simplify-132`
1246×	`rational_best-simplify-54`
1014×	`rational_best-simplify-2`
814×	`rational_best-simplify-24`
792×	`rational_best-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	1966
1	186	1582
2	1057	1582
3	3589	1582
4	7335	1582

Stop Event

1×	node limit

Counts

50 → 53

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`rational_best-simplify-57`
656×	`rational_best-simplify-43`
652×	`rational_best-simplify-80`
628×	`rational_best-simplify-49`
456×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	82	23
2	256	23
3	1036	23
4	4349	23

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify252.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1790×	`rational_best-simplify-132`
784×	`rational_best-simplify-2`
782×	`rational_best-simplify-135`
772×	`rational_best-simplify-49`
610×	`rational_best-simplify-80`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1251
1	177	1243
2	844	1243
3	2726	1087
4	6567	1087

Stop Event

1×	node limit

Counts

47 → 54

Calls

Call 1

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

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

localize175.0ms (1.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
	0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	2.4b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))

Compiler

Compiled 41 to 23 computations (43.9% saved)

series2.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))

1.0ms

inf

(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))

0.0ms

(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))

rewrite145.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`rational_best-simplify-57`
696×	`rational_best-simplify-44`
592×	`rational_best-5`
592×	`rational_best-2`
592×	`rational_best-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	111	37
2	350	25
3	1381	25
4	5797	25

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))

Outputs

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

simplify231.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1332×	`rational_best-simplify-80`
1260×	`rational_best-simplify-78`
1226×	`rational_best-simplify-94`
1174×	`rational_best-simplify-24`
1118×	`rational_best-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	551
1	101	551
2	551	551
3	3354	551
4	6991	551

Stop Event

1×	node limit

Counts

23 → 24

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.2b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))))
✓	13.7b	(sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)))
✓	14.5b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 x))

Compiler

Compiled 66 to 49 computations (25.8% saved)

series3.0ms (0%)

Counts

4 → 21

Calls

12 calls:

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

rewrite128.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`rational_best-simplify-57`
654×	`rational_best-simplify-44`
624×	`rational_best-5`
622×	`rational_best-4`
622×	`rational_best-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	140
1	108	140
2	356	72
3	1499	72
4	6398	72

Stop Event

1×	node limit

Counts

4 → 122

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (neg.f64 (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (sqrt.f64 x) 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 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simplify166.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1602×	`rational_best-simplify-48`
1018×	`rational_best-simplify-2`
926×	`rational_best-simplify-49`
882×	`rational_best-simplify-80`
866×	`rational_best-simplify-135`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	4983
1	530	4959
2	1375	4793
3	4069	4793

Stop Event

1×	node limit

Counts

143 → 192

Calls

Call 1

Inputs
1
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
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(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) 2)))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 x) 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1)
(.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
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(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
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(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 2) -2)
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(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))
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(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))
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(.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))
(.f64 (sqrt.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (/.f64 1 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))
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(*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (fabs.f64 (sqrt.f64 (+.f64 1 x))))
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(/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) 1)
(/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) 2) 2)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 1 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (-.f64 0 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 x)) 1)
(/.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(+.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 0 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))

Outputs
1
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (+.f64 1 (.f64 x 1/2)) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 x 1/2) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 x 1/2) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (.f64 x 1/2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (*.f64 -1/8 (pow.f64 x 2)))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 x -1/2))
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 x -1/2) (+.f64 1 (.f64 (pow.f64 x 2) 3/8)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 3/8) (.f64 x -1/2)))
(+.f64 1 (+.f64 (.f64 x -1/2) (.f64 (pow.f64 x 2) 3/8)))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (.f64 x -1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 3/8) (*.f64 (pow.f64 x 3) -5/16))))
(+.f64 1 (+.f64 (.f64 x -1/2) (+.f64 (.f64 (pow.f64 x 2) 3/8) (*.f64 (pow.f64 x 3) -5/16))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (*.f64 2 (sqrt.f64 (+.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 2 (sqrt.f64 (+.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) 2)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (*.f64 2 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (neg.f64 (*.f64 2 (sqrt.f64 x)))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 x) 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (*.f64 2 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (neg.f64 (*.f64 2 (sqrt.f64 x)))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
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(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
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(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
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(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1)
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(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
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(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
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(.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
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(.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
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(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (*.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (fabs.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x)))) (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (fabs.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (fabs.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (/.f64 1 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 1 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (neg.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(fabs.f64 (-.f64 0 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (+.f64 1 x))
(+.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 0 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))

localize269.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.5b	(sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1))))
	13.7b	(sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)))
✓	16.2b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
✓	21.9b	(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))))

Compiler

Compiled 279 to 212 computations (24% saved)

series2.0ms (0%)

Counts

3 → 17

Calls

9 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`rational_best-5`
1194×	`rational_best-4`
1194×	`rational_best-2`
1194×	`rational_best-3`
1194×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	451
1	160	451
2	554	315
3	2443	79

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify275.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

924×	`rational_best-simplify-2`
878×	`rational_best-simplify-24`
766×	`rational_best-simplify-78`
588×	`rational_best-simplify-80`
512×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	4128
1	255	4108
2	706	4084
3	1648	4072
4	3793	4056
5	7281	4056

Stop Event

1×	node limit

Counts

80 → 115

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
1
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 0 (sqrt.f64 (-.f64 x -1)))
(+.f64 (sqrt.f64 (-.f64 x -1)) 0)
(-.f64 (sqrt.f64 (-.f64 x -1)) 0)
(/.f64 (sqrt.f64 (-.f64 x -1)) 1)
(/.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)
(pow.f64 (sqrt.f64 (-.f64 x -1)) 1)
(sqrt.f64 (-.f64 x -1))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x -1)))
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) (-.f64 0 (*.f64 (sqrt.f64 x) 2)))
(*.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1)
(*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))
(.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) -1)
(.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))
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(.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1)
(/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 2) 2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) 2) -2)
(pow.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1)
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))))
(+.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) 0)
(+.f64 0 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(-.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) 0)
(.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))
(.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) 1)
(.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))))
(.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))))
(.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1)))))
(.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))) (.f64 (sqrt.f64 (.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))))
(.f64 (sqrt.f64 (.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))))
(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (/.f64 1 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))))
(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1)))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))) (sqrt.f64 (.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (.f64 (-.f64 x -1) (-.f64 x -1)) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) 1)
(/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) 2) 2)
(pow.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) 1)
(fabs.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) (fabs.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))))))
(fabs.f64 (-.f64 0 (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 1 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 1 (*.f64 1/2 x))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 1 (.f64 1/16 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3)))))
1
1
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (*.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x 2)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x 2)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x 2)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x 2)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x 2)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 x 2)))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 x 2)))
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(+.f64 (sqrt.f64 (-.f64 x -1)) 0)
(sqrt.f64 (+.f64 x 1))
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(-.f64 (sqrt.f64 (-.f64 x -1)) 0)
(sqrt.f64 (+.f64 x 1))
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(/.f64 (sqrt.f64 (-.f64 x -1)) 1)
(sqrt.f64 (+.f64 x 1))
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(/.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 2) 2)
(sqrt.f64 (+.f64 x 1))
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(pow.f64 (sqrt.f64 (-.f64 x -1)) 1)
(sqrt.f64 (+.f64 x 1))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (-.f64 x -1))
(sqrt.f64 (+.f64 x 1))
(sqrt.f64 (+.f64 1 x))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 0)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 x)))
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(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) (-.f64 0 (*.f64 (sqrt.f64 x) 2)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (neg.f64 (*.f64 2 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (neg.f64 (*.f64 2 (sqrt.f64 x)))))
(*.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
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(.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))
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(*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))
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(*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x -1))) -1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
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(.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))))
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(.f64 (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))))) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 0 (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 0 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))))))) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 0 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))))
(.f64 (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))) (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) 1)
(sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))))
(sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) 2) 2)
(sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x))))
(pow.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) 1)
(sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x))))
(fabs.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x))))
(fabs.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))))
(sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x))))
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) (fabs.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))))))
(sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x))))
(fabs.f64 (-.f64 0 (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))))
(sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x))))

eval700.0ms (4.9%)

Compiler: Compiled 45258 to 33869 computations (25.2% saved)

prune178.0ms (1.2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	824	12	836
Fresh	1	1	2
Picked	1	0	1
Done	2	3	5
Total	828	16	844

Error

26.8b

Counts

844 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.1b	(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
	28.6b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))) (sqrt.f64 (.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))) (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
	28.5b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
	61.5b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
	27.7b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 x)) (sqrt.f64 x))
	28.5b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x))))))) (sqrt.f64 x))
▶	28.2b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))
✓	27.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
▶	30.5b	(-.f64 1 (sqrt.f64 x))
	29.1b	(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
✓	27.7b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))
▶	28.3b	(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 x))))
▶	27.6b	(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))))
▶	29.1b	(+.f64 (*.f64 1/2 x) (+.f64 1 (neg.f64 (sqrt.f64 x))))
	28.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))) (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))
	30.3b	1

Compiler

Compiled 985 to 755 computations (23.4% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))
	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.1b	(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	4.2b	(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))))

Compiler

Compiled 121 to 94 computations (22.3% saved)

series2.0ms (0%)

Counts

3 → 14

Calls

9 calls:

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

rewrite153.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`rational_best-simplify-47`
750×	`rational_best-5`
750×	`rational_best-2`
750×	`rational_best-3`
750×	`rational_best-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	177
1	144	101
2	450	101
3	1737	101
4	7495	101

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 1 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 1 (/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (*.f64 (+.f64 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simplify176.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1312×	`rational_best-simplify-44`
898×	`rational_best-simplify-49`
846×	`rational_best-simplify-135`
804×	`rational_best-simplify-2`
574×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	364	8841
1	1017	8555
2	3483	8451
3	4927	7143

Stop Event

1×	node limit

Counts

157 → 217

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`rational_best-5`
1522×	`rational_best-4`
1522×	`rational_best-2`
1522×	`rational_best-3`
1522×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	55	11
2	179	11
3	735	11
4	3109	11

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify180.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1740×	`rational_best-simplify-132`
746×	`rational_best-simplify-50`
688×	`rational_best-simplify-49`
656×	`rational_best-simplify-135`
612×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	527
1	124	527
2	620	399
3	2176	399
4	6140	399

Stop Event

1×	node limit

Counts

35 → 38

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (neg.f64 (sqrt.f64 x)))
✓	0.0b	(+.f64 (*.f64 1/2 x) (+.f64 1 (neg.f64 (sqrt.f64 x))))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series1.0ms (0%)

Counts

2 → 4

Calls

6 calls:

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

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`rational_best-simplify-57`
678×	`rational_best-simplify-80`
560×	`rational_best-simplify-44`
508×	`rational_best-simplify-1`
500×	`rational_best-5`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	95	42
2	299	42
3	1162	42
4	4915	34

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify212.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1508×	`rational_best-simplify-80`
1412×	`rational_best-simplify-78`
1354×	`rational_best-simplify-94`
1034×	`rational_best-simplify-135`
1028×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	1016
1	238	1016
2	1038	1016
3	4563	1016

Stop Event

1×	node limit

Counts

60 → 61

Calls

Call 1

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

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

localize153.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
	0.2b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 x 1))))
✓	8.8b	(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 x))))
	13.7b	(sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)))

Compiler

Compiled 121 to 92 computations (24% saved)

series1.0ms (0%)

Counts

1 → 1

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`rational_best-simplify-44`
766×	`rational_best-5`
766×	`rational_best-2`
766×	`rational_best-3`
766×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	150	81
2	463	47
3	1879	47
4	7916	47

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify218.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best-simplify-80`
1220×	`rational_best-simplify-78`
1186×	`rational_best-simplify-94`
1156×	`rational_best-simplify-24`
1056×	`rational_best-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	859
1	86	859
2	489	859
3	3170	859
4	6635	859

Stop Event

1×	node limit

Counts

19 → 21

Calls

Call 1

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

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

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (+.f64 1 x))))
✓	0.3b	(/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (+.f64 1 x)))
✓	13.7b	(sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))
✓	15.0b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))

Compiler

Compiled 128 to 97 computations (24.2% saved)

series3.0ms (0%)

Counts

4 → 29

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))
0.0ms	x	@	inf	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))
0.0ms	x	@	-inf	(/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (+.f64 1 x)))
0.0ms	x	@	0	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))
0.0ms	x	@	inf	(/.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (+.f64 1 x)))

rewrite144.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`rational_best-5`
884×	`rational_best-4`
884×	`rational_best-2`
884×	`rational_best-3`
884×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	172
1	159	166
2	471	166
3	1897	106

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 0 (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule 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.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify263.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1044×	`rational_best-simplify-2`
978×	`rational_best-simplify-80`
870×	`rational_best-simplify-132`
858×	`rational_best-simplify-78`
534×	`rational_best-simplify-82`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	4202
1	355	4090
2	718	4002
3	1939	4002
4	5157	4002

Stop Event

1×	node limit

Counts

152 → 124

Calls

Call 1

Inputs
1
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) 1)
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 0 (*.f64 (sqrt.f64 x) 2)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1)
(.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (.f64 (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
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(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
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(*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (fabs.f64 (sqrt.f64 (+.f64 1 x))))
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(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 1)
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(fabs.f64 (-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 0)
(.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 1)
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 0)
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(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
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(fabs.f64 (-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))

Outputs
1
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(+.f64 -1 (neg.f64 x))
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(+.f64 -1 (neg.f64 x))
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(+.f64 -1 (neg.f64 x))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 1 (+.f64 (.f64 x 1/2) (.f64 -1/8 (pow.f64 x 2))))
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(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 0)
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 0)
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 0 (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 0)
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(-.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 0)
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2) 2)
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (fabs.f64 (sqrt.f64 (+.f64 1 x)))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1 x)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))

eval1.2s (8.2%)

Compiler: Compiled 25763 to 20073 computations (22.1% saved)

prune328.0ms (2.3%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	643	3	646
Fresh	1	7	8
Picked	1	0	1
Done	2	5	7
Total	647	15	662

Error

26.8b

Counts

662 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.1b	(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
▶	28.6b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))) (sqrt.f64 (.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))) (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
	28.5b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
▶	61.5b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
▶	27.7b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 x)) (sqrt.f64 x))
	28.5b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x))))))) (sqrt.f64 x))
▶	62.3b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))
✓	27.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	30.5b	(-.f64 1 (sqrt.f64 x))
✓	27.7b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))
	56.2b	(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 x))))
✓	27.6b	(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))))
▶	29.1b	(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
	28.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))) (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))
	30.3b	1

Compiler

Compiled 903 to 687 computations (23.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.2b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 x))
✓	14.5b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 44 to 32 computations (27.3% saved)

series1.0ms (0%)

Counts

2 → 5

Calls

6 calls:

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

rewrite125.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`rational_best-simplify-57`
566×	`rational_best-5`
564×	`rational_best-4`
564×	`rational_best-2`
564×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	100	68
2	307	68
3	1238	68
4	5388	68

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify237.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1364×	`rational_best-simplify-80`
1278×	`rational_best-simplify-78`
1214×	`rational_best-simplify-94`
1186×	`rational_best-simplify-24`
1104×	`rational_best-simplify-135`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1790
1	187	1782
2	737	1670
3	3706	1670
4	7331	1670

Stop Event

1×	node limit

Counts

46 → 60

Calls

Call 1

Inputs
1
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (-.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x))))
(+.f64 (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 0 (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 x (+.f64 x 2))) (-.f64 0 (+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) 2))
(+.f64 (.f64 (neg.f64 (sqrt.f64 x)) 2) (+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))
(.f64 1 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))
(.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) 1)
(.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))))
(.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))
(.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x))) -1)
(.f64 (/.f64 1 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (.f64 (/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))))))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))) (.f64 (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)))) (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (sqrt.f64 x))))
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Outputs
1
1
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(+.f64 0 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) 0)
(*.f64 (+.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 0 (neg.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (+.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) 1)
(*.f64 (+.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (+.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 x (+.f64 x 2))) 2)
(*.f64 (+.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (.f64 (neg.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x))) 2) -2)
(*.f64 (+.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x)) 1)
(*.f64 (+.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (+.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2022×	`rational_best-5`
2020×	`rational_best-4`
2020×	`rational_best-2`
2020×	`rational_best-3`
2020×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	80	23
2	246	23
3	1013	23
4	4261	23

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational_best-simplify-2`
1046×	`rational_best-simplify-80`
952×	`rational_best-simplify-78`
918×	`rational_best-simplify-94`
560×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	441
1	75	441
2	412	441
3	2016	441
4	4195	441

Stop Event

1×	node limit

Counts

21 → 21

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
✓	0.2b	(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))
✓	0.3b	(/.f64 x (sqrt.f64 (+.f64 1 x)))
✓	14.8b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))

Compiler

Compiled 81 to 59 computations (27.2% saved)

series5.0ms (0%)

Counts

4 → 20

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))
1.0ms	x	@	inf	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))
0.0ms	x	@	0	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 x))
0.0ms	x	@	inf	(/.f64 x (sqrt.f64 (+.f64 1 x)))
0.0ms	x	@	-inf	(/.f64 x (sqrt.f64 (+.f64 1 x)))

rewrite142.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`rational_best-simplify-57`
742×	`rational_best-simplify-47`
738×	`rational_best-5`
736×	`rational_best-4`
736×	`rational_best-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	170
1	128	158
2	387	158
3	1577	158
4	6490	158

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

Outputs
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simplify165.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational_best-simplify-48`
1148×	`rational_best-simplify-2`
606×	`rational_best-simplify-49`
570×	`rational_best-simplify-132`
522×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	3219
1	275	3219
2	839	3107
3	2080	3107
4	6008	3107

Stop Event

1×	node limit

Counts

87 → 84

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -5/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -5/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
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(+.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) 0)
(+.f64 0 (-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
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(+.f64 (neg.f64 (.f64 (sqrt.f64 x) 2)) (+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
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(.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) 1)
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(.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
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(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))) (.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (/.f64 1 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))) (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))))
(.f64 (/.f64 -1 (-.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))) (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) 1)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) -1)
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) 2) 2)
(/.f64 (.f64 (-.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))) 2) -2)
(pow.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) 1)
(neg.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(+.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 0 (/.f64 x (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 0)
(-.f64 0 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x))))) (.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 1)
(neg.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) 0)
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(/.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 2)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) 0)
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 2)) 2)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 3/8 (pow.f64 x 3))))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -5/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(+.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 -5/16 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 3))))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 3/8 (pow.f64 x 3)) (*.f64 -5/16 (pow.f64 x 4)))))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 3/8 (pow.f64 x 3))))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -5/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(+.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 -5/16 (pow.f64 x 4)) (*.f64 3/8 (pow.f64 x 3))))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 3/8 (pow.f64 x 3)) (*.f64 -5/16 (pow.f64 x 4)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
(+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (-.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
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(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 x))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 1 x))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x))))) (.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(neg.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) 0)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) 0)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 2)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) 0)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) 0)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 2)) 2)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))))

localize84.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
	7.5b	(sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1))))
✓	16.4b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
✓	21.9b	(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1))))))

Compiler

Compiled 243 to 182 computations (25.1% saved)

series6.0ms (0%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
2.0ms	x	@	-inf	(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1))))))
1.0ms	x	@	inf	(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1))))))
1.0ms	x	@	-inf	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
0.0ms	x	@	0	(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1))))))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`rational_best-5`
1188×	`rational_best-4`
1188×	`rational_best-2`
1188×	`rational_best-3`
1188×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	360
1	152	360
2	527	360
3	2307	160

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 0 (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (*.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) 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simplify229.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

790×	`rational_best-simplify-2`
700×	`rational_best-simplify-78`
648×	`rational_best-simplify-24`
638×	`rational_best-simplify-29`
632×	`rational_best-simplify-33`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	3053
1	161	3049
2	548	2953
3	1419	2953
4	3328	2953
5	6352	2953

Stop Event

1×	node limit

Counts

39 → 59

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 3/2 (/.f64 1 x))
(+.f64 3/2 (+.f64 (*.f64 3/8 x) (/.f64 1 x)))
(+.f64 3/2 (+.f64 (.f64 -1/16 (pow.f64 x 2)) (+.f64 (.f64 3/8 x) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 3/2 (/.f64 1 x))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) 0)
(+.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) 0)
(/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) 1)
(/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))
(/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))))
(/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) 2)) 2)
(pow.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) 1)
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 0)
(+.f64 0 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))))
(+.f64 (+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 0 (*.f64 (sqrt.f64 x) 2)))
(.f64 1 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 1)
(.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (/.f64 1 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))
(.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))) -1)
(.f64 (/.f64 1 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))) (/.f64 1 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (/.f64 1 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))) (.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (/.f64 1 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 1)
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))) -1)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 2) 2)
(/.f64 (.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))) 2) -2)
(pow.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 1)
(neg.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))

Outputs
(/.f64 1 x)
(+.f64 3/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 3/2)
(+.f64 3/2 (+.f64 (*.f64 3/8 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 3/8) 3/2))
(+.f64 (/.f64 1 x) (+.f64 3/2 (*.f64 x 3/8)))
(+.f64 3/2 (+.f64 (.f64 -1/16 (pow.f64 x 2)) (+.f64 (.f64 3/8 x) (/.f64 1 x))))
(+.f64 3/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 3/8) (.f64 -1/16 (pow.f64 x 2)))))
(+.f64 3/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 3/8)) (.f64 -1/16 (pow.f64 x 2))))
(+.f64 (+.f64 3/2 (.f64 x 3/8)) (+.f64 (/.f64 1 x) (.f64 -1/16 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 3/2 (+.f64 (.f64 x 3/8) (.f64 -1/16 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) 3/2) (+.f64 (.f64 x 3/8) (.f64 -1/16 (pow.f64 x 2))))
(/.f64 1 x)
(+.f64 3/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 3/2)
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) 0)
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 0 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) 0)
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) 1)
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))))
(/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (/.f64 (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1))))) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))) (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))))
(/.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))) 2)) 2)
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))))
(pow.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) 1)
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(+.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 0)
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(+.f64 0 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))
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(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (/.f64 1 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)))) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 1)
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x))))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))) -1)
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 2) 2)
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(/.f64 (.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (*.f64 (-.f64 x -1) (-.f64 x -1))))))) 2) -2)
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(pow.f64 (-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1)))))) (sqrt.f64 x)) 1)
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))
(neg.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) x) (sqrt.f64 (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (.f64 (-.f64 x -1) (-.f64 x -1))))))))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (neg.f64 (sqrt.f64 x)))
(+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 x))

localize240.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	13.7b	(sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)))
✓	18.7b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))) (sqrt.f64 (.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))) (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
✓	21.5b	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))) (sqrt.f64 (.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))) (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))))
✓	21.9b	(.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))) (sqrt.f64 (.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))) (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (*.f64 (+.f64 x 1) (+.f64 x 1))))))

Compiler

Compiled 700 to 533 computations (23.9% saved)

series4.0ms (0%)

Counts

3 → 17

Calls

9 calls:

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

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`rational_best-5`
1814×	`rational_best-4`
1814×	`rational_best-2`
1814×	`rational_best-3`
1814×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	901
1	254	901
2	846	901
3	3691	901

Stop Event

1×	node limit

Counts

3 → 29

Calls

Call 1

Inputs

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

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Outputs

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simplify271.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

988×	`rational_best-simplify-48`
954×	`rational_best-simplify-2`
800×	`rational_best-simplify-1`
762×	`rational_best-simplify-132`
524×	`rational_best-simplify-45`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	9458
1	181	9450
2	443	9394
3	1544	9394
4	2994	9394
5	6417	9394

Stop Event

1×	node limit

Counts

46 → 60

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) 1)
1
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Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (+.f64 1 (.f64 1/2 x)) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (.f64 1/2 x)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (+.f64 1 (.f64 1/2 x)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/16 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2)))))
1
(+.f64 1 x)
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(+.f64 1 x)
x
(+.f64 1 x)
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(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(+.f64 -1 (neg.f64 x))
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(+.f64 -1 (neg.f64 x))
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(+.f64 -1 (neg.f64 x))
1
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(+.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x))))) (.f64 (-.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))))))))) (neg.f64 (sqrt.f64 x)))
(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x)))))))) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x))) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x)))))))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x))))))))) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x))) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 x))

eval1.9s (13.2%)

Compiler: Compiled 48062 to 36017 computations (25.1% saved)

prune590.0ms (4.1%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	685	5	690
Fresh	0	5	5
Picked	1	0	1
Done	3	6	9
Total	689	16	705

Error

26.8b

Counts

705 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.1b	(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
	28.6b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))) (sqrt.f64 (.f64 (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))) (.f64 (-.f64 -1 x) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x))))))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
	28.5b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))))) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))))) (sqrt.f64 x))
	61.6b	(-.f64 (.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x) (sqrt.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))))) (sqrt.f64 (.f64 (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (+.f64 1 x)))) (.f64 (+.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 x))
	30.0b	(-.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 1)) (+.f64 1 x)) (sqrt.f64 x))
	28.0b	(-.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1))))) (+.f64 1 x)) (sqrt.f64 x))
✓	27.7b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 1 x)) (sqrt.f64 x))
	28.5b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (-.f64 -1 x))))))) (sqrt.f64 x))
	62.3b	(-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
✓	27.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	30.5b	(-.f64 1 (sqrt.f64 x))
✓	27.7b	(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 2))
	56.2b	(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) x) (sqrt.f64 x))))
✓	29.1b	(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
	28.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))) (.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 x)))))
	30.3b	1

Compiler

Compiled 488 to 371 computations (24% saved)

regimes101.0ms (0.7%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

78.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
27.6b	1	`x`
27.6b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 947 to 689 computations (27.2% saved)

regimes113.0ms (0.8%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

101.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Results

Error	Segments	Branch
27.6b	1	`x`
27.6b	1	`(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 339 to 243 computations (28.3% saved)

regimes6.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
29.1b	1	`x`

Compiler

Compiled 55 to 37 computations (32.7% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
29.1b	1	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes213.0ms (1.5%)

Accuracy

Total -3.0b remaining (-10.5%)

Threshold costs -3.0b (-10.5%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

213.0ms

Results

Error	Segments	Branch
28.9b	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	0.010560737869880326	4.425322455841565

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 84 to 73 computations (13.1% saved)

simplify153.0ms (1.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	176

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(if (<=.f64 x 2476979795053773/4503599627370496) (-.f64 1 (sqrt.f64 x)) 1)
1

Outputs
(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) (-.f64 0 (+.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(if (<=.f64 x 2476979795053773/4503599627370496) (-.f64 1 (sqrt.f64 x)) 1)
1

Compiler

Compiled 67 to 54 computations (19.4% saved)

soundness0.0ms (0%)

end42.0ms (0.3%)

Compiler: Compiled 62 to 45 computations (27.4% saved)