Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.1s (12.7%)

Results

1.4s	4195×	body	1024	valid
395.0ms	2009×	body	512	valid
157.0ms	1617×	body	256	valid
138.0ms	435×	body	2048	valid

Bogosity

preprocess11.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	13	27
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	13	27

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

58.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.7b	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 x))
✓	0.0b	(sqrt.f64 (-.f64 x -1))
✓	7.8b	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series7.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))
2.0ms	x	@	-inf	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))
0.0ms	x	@	0	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 x -1))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 x -1))

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`rational.json-simplify-35`
1444×	`exponential.json-3`
1444×	`rational.json-1`
1444×	`rational.json-2`
1444×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	79	49
2	163	49
3	313	49
4	582	49
5	1304	49
6	2878	49
7	4846	49
8	6745	49

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 -1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) (/.f64 (sqrt.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (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 0 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))))) (#(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 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 -1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) -1) (+.f64 1 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) (/.f64 (sqrt.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (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 0 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2))))) (#(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 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1)))))

simplify169.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1812×	`rational.json-simplify-35`
1518×	`rational.json-simplify-51`
1398×	`rational.json-simplify-52`
1068×	`rational.json-simplify-1`
900×	`rational.json-simplify-45`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	195	2483
1	413	1967
2	1082	1967
3	2841	1967
4	5046	1967
5	6084	1967
6	7285	1967
7	7899	1967

Stop Event

1×	node limit

Counts

101 → 127

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) 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 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0)
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -1)
(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (-.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (sqrt.f64 (-.f64 1 x))))
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2))
(+.f64 (-.f64 1 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 -2 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 -1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) -2)
(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2)))
(*.f64 -1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2))
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -4))
(*.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) (/.f64 (sqrt.f64 (-.f64 1 x)) 4)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1)
(.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) 2)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) 1/2) -2)
(*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -4) 4)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) 2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 4) 4)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8) 8)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2) -2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8))) 32)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -4))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 8))))) 128)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(neg.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 x 1)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 x 1)) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 x 1)) 4))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
(/.f64 (sqrt.f64 (+.f64 x 1)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 x 1)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 8))))) 128)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 (sqrt.f64 (-.f64 1 x)) 0)
(+.f64 0 (sqrt.f64 (-.f64 1 x)))
(+.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(-.f64 (sqrt.f64 (-.f64 1 x)) 0)
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(*.f64 4 (/.f64 (sqrt.f64 (-.f64 1 x)) 4))
(.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (-.f64 1 x)) 2))
(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 x)) 4))
(.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)
(/.f64 (sqrt.f64 (-.f64 1 x)) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)

Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 7/128 (pow.f64 x 5)) (.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/8 (pow.f64 x 3)) (.f64 7/128 (pow.f64 x 5))))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (*.f64 33/1024 (pow.f64 x 7)))))
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 33/1024 (pow.f64 x 7))) (*.f64 7/128 (pow.f64 x 5))))
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 x (*.f64 33/1024 (pow.f64 x 7)))))
(+.f64 x (+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) (*.f64 33/1024 (pow.f64 x 7)))))
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 (.f64 x 1/2) (+.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)))))
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(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
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(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
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(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
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(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
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(+.f64 0 (sqrt.f64 (+.f64 x 1)))
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(+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2) (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
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(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
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(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
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(*.f64 1 (sqrt.f64 (+.f64 x 1)))
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(.f64 2 (.f64 (sqrt.f64 (+.f64 x 1)) 1/2))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 2) 1/2)
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(.f64 (.f64 (sqrt.f64 (+.f64 x 1)) 4) 1/4)
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(.f64 1/4 (.f64 (sqrt.f64 (+.f64 x 1)) 4))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
(sqrt.f64 (+.f64 x 1))
(/.f64 (sqrt.f64 (+.f64 x 1)) 1)
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(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 2) 2)
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(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) 4) 4)
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(.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)
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(.f64 1/4 (.f64 (sqrt.f64 (-.f64 1 x)) 4))
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(.f64 (.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)
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(/.f64 (sqrt.f64 (-.f64 1 x)) 1)
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(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)
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(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)
(sqrt.f64 (-.f64 1 x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)
(sqrt.f64 (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)
(sqrt.f64 (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)
(sqrt.f64 (-.f64 1 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))

eval37.0ms (0.2%)

Compiler: Compiled 1828 to 1524 computations (16.6% saved)

prune17.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	5	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	6	128

Error

0.0b

Counts

128 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.7b	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))
▶	58.8b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2)))
▶	0.1b	(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 33/1024 (pow.f64 x 7))) (*.f64 7/128 (pow.f64 x 5))))
▶	0.2b	(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))
▶	0.3b	(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
	0.5b	x

Compiler

Compiled 82 to 66 computations (19.5% saved)

localize8.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 7/128 (pow.f64 x 5))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 7/128 (pow.f64 x 5))
1.0ms	x	@	0	(*.f64 7/128 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 7/128 (pow.f64 x 5))

rewrite261.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3750×	`rational.json-simplify-35`
1768×	`rational.json-simplify-2`
1064×	`exponential.json-3`
1064×	`rational.json-1`
1064×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	96	13
3	186	13
4	323	13
5	685	13
6	1641	13
7	2759	13
8	3339	13
9	3988	13
10	4758	13
11	5239	13
12	5239	13
13	5691	13
14	5691	13
15	6192	13
16	7038	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 7/128 (pow.f64 x 5))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 7/128 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 7/128 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 5) 7/256) (.f64 (pow.f64 x 5) 7/256))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 7/128 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 7/128 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) 7/64) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) 7/32) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) 7/16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 5) 7/16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))))))))) 4096)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 7/128 (pow.f64 x 5)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7/128 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 7/128 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 5) 7/256) (*.f64 (pow.f64 x 5) 7/256))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 7/128 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 7/128 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 7/64) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 7/32) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 7/16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16))))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 5) 7/16)))))))))) 4096)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)))))

simplify212.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

3738×	`rational.json-simplify-43`
2612×	`rational.json-simplify-51`
2068×	`rational.json-simplify-35`
1144×	`rational.json-simplify-1`
1022×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	234
1	144	234
2	252	234
3	630	234
4	1551	234
5	2701	234
6	3530	234
7	3774	234
8	3927	234
9	4048	234
10	4158	234
11	4267	234
12	4383	234
13	4491	234
14	4491	234

Stop Event

1×	node limit

Counts

18 → 19

Calls

Call 1

Inputs
(+.f64 (*.f64 7/128 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 7/128 (pow.f64 x 5)))
(+.f64 (.f64 (pow.f64 x 5) 7/256) (.f64 (pow.f64 x 5) 7/256))
(-.f64 (*.f64 7/128 (pow.f64 x 5)) 0)
(/.f64 (*.f64 7/128 (pow.f64 x 5)) 1)
(/.f64 (*.f64 (pow.f64 x 5) 7/64) 2)
(/.f64 (*.f64 (pow.f64 x 5) 7/32) 4)
(/.f64 (*.f64 (pow.f64 x 5) 7/16) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) 7/16)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 7/16))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 7/16))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 7/16))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))))))) 1024)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 7/16))))))))) 2048)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))))))))) 4096)
(pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)

Outputs
(+.f64 (*.f64 7/128 (pow.f64 x 5)) 0)
(*.f64 7/128 (pow.f64 x 5))
(+.f64 0 (*.f64 7/128 (pow.f64 x 5)))
(*.f64 7/128 (pow.f64 x 5))
(+.f64 (.f64 (pow.f64 x 5) 7/256) (.f64 (pow.f64 x 5) 7/256))
(*.f64 7/128 (pow.f64 x 5))
(-.f64 (*.f64 7/128 (pow.f64 x 5)) 0)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (*.f64 7/128 (pow.f64 x 5)) 1)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 7/64) 2)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 7/32) 4)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 7/16) 8)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 (pow.f64 x 5) 7/16)) 16)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 7/16))) 32)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))) 64)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 7/16))))) 128)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))))) 256)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 7/16))))))) 512)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))))))) 1024)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 5) 7/16))))))))) 2048)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 5) 7/16)))))))))) 4096)
(*.f64 7/128 (pow.f64 x 5))
(pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)
(*.f64 7/128 (pow.f64 x 5))

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 33/1024 (pow.f64 x 7))
	0.1b	(*.f64 7/128 (pow.f64 x 5))

Compiler

Compiled 71 to 55 computations (22.5% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 33/1024 (pow.f64 x 7))
0.0ms	x	@	-inf	(*.f64 33/1024 (pow.f64 x 7))
0.0ms	x	@	inf	(*.f64 33/1024 (pow.f64 x 7))

rewrite4.4s (26.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3750×	`rational.json-simplify-35`
1770×	`rational.json-simplify-2`
1064×	`exponential.json-3`
1064×	`rational.json-1`
1064×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	96	13
3	186	13
4	323	13
5	685	13
6	1643	13
7	2770	13
8	3350	13
9	4000	13
10	4775	13
11	5256	13
12	5256	13
13	5708	13
14	5708	13
15	6209	13
16	7055	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 33/1024 (pow.f64 x 7))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 33/1024 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 33/1024 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 7) 33/2048) (*.f64 (pow.f64 x 7) 33/2048))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 33/1024 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 33/1024 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 7) 33/512) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 7) 33/256) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 7) 33/128) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128))))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 7) 33/128)))))))))) 4096)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 1)))))

simplify6.2s (37.8%)

Algorithm

1×	egg-herbie

Rules

3680×	`rational.json-simplify-43`
2612×	`rational.json-simplify-51`
2072×	`rational.json-simplify-35`
1144×	`rational.json-simplify-1`
1022×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	234
1	144	234
2	252	234
3	630	234
4	1551	234
5	2701	234
6	3531	234
7	3779	234
8	3932	234
9	4053	234
10	4163	234
11	4272	234
12	4388	234
13	4496	234
14	4496	234

Stop Event

1×	node limit

Counts

18 → 19

Calls

Call 1

Inputs
(+.f64 (*.f64 33/1024 (pow.f64 x 7)) 0)
(+.f64 0 (*.f64 33/1024 (pow.f64 x 7)))
(+.f64 (.f64 (pow.f64 x 7) 33/2048) (.f64 (pow.f64 x 7) 33/2048))
(-.f64 (*.f64 33/1024 (pow.f64 x 7)) 0)
(/.f64 (*.f64 33/1024 (pow.f64 x 7)) 1)
(/.f64 (*.f64 (pow.f64 x 7) 33/512) 2)
(/.f64 (*.f64 (pow.f64 x 7) 33/256) 4)
(/.f64 (*.f64 (pow.f64 x 7) 33/128) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 7) 33/128)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 33/128))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 33/128))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 33/128))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128)))))))) 1024)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 33/128))))))))) 2048)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128)))))))))) 4096)
(pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 1)

Outputs
(+.f64 (*.f64 33/1024 (pow.f64 x 7)) 0)
(*.f64 33/1024 (pow.f64 x 7))
(+.f64 0 (*.f64 33/1024 (pow.f64 x 7)))
(*.f64 33/1024 (pow.f64 x 7))
(+.f64 (.f64 (pow.f64 x 7) 33/2048) (.f64 (pow.f64 x 7) 33/2048))
(*.f64 33/1024 (pow.f64 x 7))
(-.f64 (*.f64 33/1024 (pow.f64 x 7)) 0)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (*.f64 33/1024 (pow.f64 x 7)) 1)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 x 7) 33/512) 2)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 x 7) 33/256) 4)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 x 7) 33/128) 8)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 (pow.f64 x 7) 33/128)) 16)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 33/128))) 32)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128)))) 64)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 33/128))))) 128)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128)))))) 256)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 33/128))))))) 512)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128)))))))) 1024)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 7) 33/128))))))))) 2048)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 7) 33/128)))))))))) 4096)
(*.f64 33/1024 (pow.f64 x 7))
(pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 1)
(*.f64 33/1024 (pow.f64 x 7))

localize77.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 1 x))
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	7.1b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2)))
✓	7.8b	(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 92 to 75 computations (18.5% saved)

series8.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite775.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`rational.json-1`
1486×	`rational.json-2`
1486×	`rational.json-3`
1236×	`exponential.json-3`
1236×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	121
1	117	121
2	236	71
3	495	65
4	1011	65
5	2064	65
6	3745	65
7	5916	65
8	7666	65

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2) (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2)) (-.f64 1 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((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 1 x)) (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((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 1 x)) (sqrt.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 4) (/.f64 (sqrt.f64 (+.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.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 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2) (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (sqrt.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) (+.f64 (sqrt.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((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 1 x)) (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((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 1 x)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2) 4) (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 4) (/.f64 (sqrt.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (+.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (+.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) 1)))))

simplify733.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2890×	`rational.json-simplify-35`
1638×	`rational.json-simplify-1`
1190×	`rational.json-simplify-2`
862×	`rational.json-simplify-45`
594×	`rational.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	4158
1	555	4150
2	1551	3490
3	3514	3490
4	5423	3490
5	6248	3490
6	6678	3490
7	6969	3490
8	6982	3490
9	6985	3490
10	7310	3490
11	7335	3490
12	7335	3490
13	7550	3490
14	7765	3490
15	7980	3490

Stop Event

1×	node limit

Counts

138 → 173

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -7/128 (pow.f64 x 5))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (+.f64 (.f64 -33/1024 (pow.f64 x 7)) (.f64 -7/128 (pow.f64 x 5)))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) 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)))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(+.f64 (neg.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)))) -1)
(+.f64 -2 (-.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2))
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))
(+.f64 (-.f64 -1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2)) (-.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2)))
(*.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))) 1)
(.f64 -1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2) -2)
(*.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))) -1)
(.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 4 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4))
(*.f64 4 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 4) (/.f64 (sqrt.f64 (+.f64 1 x)) 4)))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2) -1/2)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2) 1/2)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2))
(.f64 -2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2))
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2) 2)
(*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) 4)
(/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2) -2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2) 2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -4) -4)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) 4)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8) -8)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) -16)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)) 16)
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) -32)
(/.f64 (neg.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 32)
(pow.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1)
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 1 (+.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))) (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2))
(-.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))
(-.f64 -1 (+.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0)
(-.f64 0 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (sqrt.f64 (-.f64 1 x)))) -1)
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2) -2)
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 2)
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 (-.f64 1 x)))) 1)
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) (+.f64 (sqrt.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (-.f64 1 x)))
(*.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))) -1)
(.f64 -1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(*.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))) 1)
(.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 2 (+.f64 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2) 4) (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 4)))
(.f64 4 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/4))
(*.f64 4 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 4) (/.f64 (sqrt.f64 (-.f64 1 x)) 4)))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2) 1/2)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2) -1/2)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -4) 1/4)
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) -1/4)
(.f64 1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2))
(.f64 -2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))
(.f64 1/4 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -4))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2) -2)
(.f64 -1/4 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/4) 4)
(/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2) 2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2) -2)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -4) 4)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) -4)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8) 8)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8) -8)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)) -16)
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) -32)
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) -16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 32)
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)) 8)
(/.f64 (neg.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) 16)
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 64)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)))) 32)
(/.f64 (.f64 2 (neg.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 16)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(neg.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 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (.f64 (sqrt.f64 (+.f64 1 x)) 1/2))
(-.f64 (sqrt.f64 (+.f64 1 x)) 0)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 1 x)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 x)) 2))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1 x)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)
(/.f64 (sqrt.f64 (+.f64 1 x)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 8)))) 64)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 -1 x) (.f64 -1/8 (pow.f64 x 3)))
(+.f64 (neg.f64 x) (*.f64 -1/8 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -7/128 (pow.f64 x 5))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -7/128 (pow.f64 x 5)) (*.f64 -1/8 (pow.f64 x 3))))
(+.f64 (neg.f64 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -7/128 (pow.f64 x 5))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (+.f64 (.f64 -33/1024 (pow.f64 x 7)) (.f64 -7/128 (pow.f64 x 5)))))
(+.f64 (.f64 -1 x) (+.f64 (+.f64 (.f64 -7/128 (pow.f64 x 5)) (.f64 -33/1024 (pow.f64 x 7))) (.f64 -1/8 (pow.f64 x 3))))
(+.f64 (neg.f64 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -7/128 (pow.f64 x 5)) (*.f64 -33/1024 (pow.f64 x 7)))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -7/128 (pow.f64 x 5)) (+.f64 (neg.f64 x) (*.f64 -33/1024 (pow.f64 x 7)))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 x (*.f64 (pow.f64 x 3) 1/8))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 (pow.f64 x 3) 1/8) (+.f64 x (.f64 (pow.f64 x 5) 7/128)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 5) 7/128) (.f64 (pow.f64 x 3) 1/8)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (pow.f64 x 5) 7/128)))
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/8)) (.f64 (pow.f64 x 5) 7/128))
(+.f64 (.f64 7/128 (pow.f64 x 5)) (+.f64 (.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 (.f64 (pow.f64 x 5) 7/128) (+.f64 (.f64 (pow.f64 x 3) 1/8) (+.f64 x (*.f64 (pow.f64 x 7) 33/1024))))
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) 1/8)) (+.f64 (.f64 (pow.f64 x 5) 7/128) (*.f64 (pow.f64 x 7) 33/1024)))
(+.f64 x (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (pow.f64 x 7) 33/1024)) (*.f64 (pow.f64 x 5) 7/128)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 5) 7/128) (+.f64 (.f64 (pow.f64 x 3) 1/8) (*.f64 (pow.f64 x 7) 33/1024))))
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 x 1/2) (+.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 -1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/16) (*.f64 x 1/2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) 1/16))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 (pow.f64 x 3) 1/16) (+.f64 1 (*.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (.f64 x 1/2) (+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 1/16))))
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 0)
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 0 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 -2 (-.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2) (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/2))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (-.f64 -1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2)) (-.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2)))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1)
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(.f64 -1/2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1/2) -2)
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(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2) 2)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 2) -2)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -4) 4)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 4) -4)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8) 8)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8) -8)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) 16)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)) -16)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)) -8)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) -32)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) -16)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 32)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)) 8)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) 16)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8))) 8)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8))) 16)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 64)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 8)))) 32)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 2 (neg.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -8)))) 16)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(-.f64 1 (+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))
(-.f64 -1 (-.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 x 1))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (.f64 (sqrt.f64 (+.f64 1 x)) 1/2))
(sqrt.f64 (+.f64 x 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) 1/2)
(sqrt.f64 (+.f64 x 1))
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 1 x)) 4))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) 1/4)
(sqrt.f64 (+.f64 x 1))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 x)) 2))
(sqrt.f64 (+.f64 x 1))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1 x)) 4))
(sqrt.f64 (+.f64 x 1))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) 2)
(sqrt.f64 (+.f64 x 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)
(sqrt.f64 (+.f64 x 1))
(/.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)
(sqrt.f64 (+.f64 x 1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)
(sqrt.f64 (+.f64 x 1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 8) 8)
(sqrt.f64 (+.f64 x 1))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 8)) 16)
(sqrt.f64 (+.f64 x 1))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1 x)) 8))) 32)
(sqrt.f64 (+.f64 x 1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 8)))) 64)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))

eval343.0ms (2.1%)

Compiler: Compiled 10908 to 9376 computations (14% saved)

prune58.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	396	0	396
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	396	6	402

Error

0.0b

Counts

402 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.7b	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))
✓	58.8b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2)))
✓	0.1b	(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 33/1024 (pow.f64 x 7))) (*.f64 7/128 (pow.f64 x 5))))
✓	0.2b	(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))
✓	0.3b	(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
	0.5b	x

Compiler

Compiled 82 to 66 computations (19.5% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

0.0b

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.7b	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))
✓	58.8b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2)))
✓	0.1b	(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 33/1024 (pow.f64 x 7))) (*.f64 7/128 (pow.f64 x 5))))
✓	0.2b	(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))
✓	0.3b	(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
	0.5b	x

Compiler

Compiled 82 to 66 computations (19.5% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

0.0b

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.7b	(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))
✓	58.8b	(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2)))
✓	0.1b	(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 33/1024 (pow.f64 x 7))) (*.f64 7/128 (pow.f64 x 5))))
✓	0.2b	(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))
✓	0.3b	(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
	0.5b	x

Compiler

Compiled 82 to 66 computations (19.5% saved)

regimes91.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 33/1024 (pow.f64 x 7))) (*.f64 7/128 (pow.f64 x 5))))
(+.f64 (+.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2) -1) (+.f64 1 (.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1/2)))

Outputs
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 33/1024 (pow.f64 x 7))) (*.f64 7/128 (pow.f64 x 5))))

Calls

2 calls:

84.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
5.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))`

Compiler

Compiled 98 to 77 computations (21.4% saved)

regimes8.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))

Outputs
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))

Calls

2 calls:

4.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Results

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

Compiler

Compiled 52 to 39 computations (25% saved)

regimes173.0ms (1%)

Accuracy

Total -58.8b remaining (-22617.1%)

Threshold costs -58.8b (-22617.1%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 1 x)))

Outputs
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)

Calls

2 calls:

169.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

Results

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

Compiler

Compiled 39 to 29 computations (25.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	112

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 33/1024 (pow.f64 x 7))) (*.f64 7/128 (pow.f64 x 5))))
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
x

Outputs
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 33/1024 (pow.f64 x 7))) (*.f64 7/128 (pow.f64 x 5))))
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 x (.f64 7/128 (pow.f64 x 5))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
x

Compiler

Compiled 44 to 34 computations (22.7% saved)

soundness177.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1812×	`rational.json-simplify-35`
1518×	`rational.json-simplify-51`
1398×	`rational.json-simplify-52`
1068×	`rational.json-simplify-1`
900×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	13	27
0	195	2483
1	413	1967
2	1082	1967
3	2841	1967
4	5046	1967
5	6084	1967
6	7285	1967
7	7899	1967

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 77 to 61 computations (20.8% saved)

end393.0ms (2.4%)

Compiler: Compiled 41 to 31 computations (24.4% saved)

Details

analyze0.0ms (0%)

sample2.1s (12.7%)

preprocess11.0ms (0.1%)

simplify8.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series7.0ms (0%)

rewrite115.0ms (0.7%)

simplify169.0ms (1%)

eval37.0ms (0.2%)

prune17.0ms (0.1%)

localize8.0ms (0%)

localize17.0ms (0.1%)

series2.0ms (0%)

rewrite261.0ms (1.6%)

simplify212.0ms (1.3%)

localize27.0ms (0.2%)

series1.0ms (0%)

rewrite4.4s (26.7%)

simplify6.2s (37.8%)

localize77.0ms (0.5%)

series8.0ms (0%)

rewrite775.0ms (4.7%)

simplify733.0ms (4.5%)

eval343.0ms (2.1%)

prune58.0ms (0.4%)

eval0.0ms (0%)

prune3.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes91.0ms (0.6%)

regimes8.0ms (0%)

regimes173.0ms (1%)

simplify3.0ms (0%)

soundness177.0ms (1.1%)

end393.0ms (2.4%)

Profiling