Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample995.0ms (48.1%)

Results

984.0ms	8256×	body	256	valid
1.0ms	15×	body	256	invalid

Bogosity

preprocess49.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

760×	`rational_best-simplify-96`
736×	`rational_best-simplify-117`
712×	`rational_best-simplify-113`
690×	`rational_best-simplify-65`
684×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	55	39
2	305	39
3	2025	39
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify108.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

760×	`rational_best-simplify-96`
736×	`rational_best-simplify-117`
712×	`rational_best-simplify-113`
690×	`rational_best-simplify-65`
684×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	55	39
2	305	39
3	2025	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize19.0ms (0.9%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite102.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`rational_best-simplify-96`
734×	`rational_best-simplify-117`
706×	`rational_best-simplify-113`
690×	`rational_best-simplify-65`
680×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	54	75
2	304	75
3	2082	75

Stop Event

1×	node limit

Counts

3 → 29

Calls

Call 1

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

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

Outputs

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

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

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

simplify86.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

994×	`rational_best-simplify-1`
848×	`rational_best-simplify-53`
626×	`rational_best-simplify-21`
610×	`rational_best-simplify-20`
608×	`rational_best-simplify-18`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	2473
1	958	2449
2	5998	2413

Stop Event

1×	node limit

Counts

65 → 126

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1)
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 x x) -1)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(-.f64 0 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 -1 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) -1)
(/.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)
(/.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) -1)
(/.f64 (+.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) -2)
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(neg.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(if (!=.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 x)) 0) (/.f64 (-.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x)))) (.f64 x x)) (/.f64 1 (.f64 x x))) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(if (!=.f64 (neg.f64 (/.f64 1 x)) 0) (/.f64 (.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 x)) (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(if (!=.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 0) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(if (!=.f64 (-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 0) (/.f64 (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x)))) (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 x)) (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(if (!=.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 0) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(-.f64 0 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) -1)
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -1/16 (pow.f64 x 6))) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1))))) (.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) -1/8))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 5)))))) (.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 5)))))) (.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) -1/8))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(.f64 -1 (.f64 x (sqrt.f64 -1)))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (.f64 -1 (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (.f64 x (neg.f64 (sqrt.f64 -1))) (.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) -1/2))
(-.f64 (.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) -1/2) (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (.f64 -1 (.f64 x (sqrt.f64 -1)))) (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (-.f64 (.f64 x (neg.f64 (sqrt.f64 -1))) (.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 3))) -1/8)) (.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) -1/2))
(-.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (.f64 x (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (.f64 -1 (.f64 x (sqrt.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 5))))))
(+.f64 (-.f64 (.f64 x (neg.f64 (sqrt.f64 -1))) (.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 3))) -1/8)) (-.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 5))) -1/16) (.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(-.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (.f64 x (sqrt.f64 -1))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 x (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 5))))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5))) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/2 x)))
(+.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/16 (pow.f64 x 5))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 1 x)))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 1 x))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (.f64 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1))) -1/8))
(+.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (.f64 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1))) -1/8))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1))) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1))) (.f64 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1))) -1/8)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2))
(+.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (sqrt.f64 -1))) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(-.f64 (/.f64 1 x) (*.f64 x 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (.f64 x 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(+.f64 (.f64 -1/2 x) (+.f64 (+.f64 (/.f64 1 x) (.f64 -1/16 (pow.f64 x 5))) (*.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (.f64 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1))) -1/8))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (sqrt.f64 -1)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (sqrt.f64 -1)))))) (.f64 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1))) -1/8))
(+.f64 (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (sqrt.f64 -1)))))) (.f64 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1))) -1/8))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (neg.f64 (sqrt.f64 -1)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2))
(-.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2) (sqrt.f64 -1))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (neg.f64 (sqrt.f64 -1))) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2))
(+.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (sqrt.f64 -1)) (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (.f64 -1 (sqrt.f64 -1))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (sqrt.f64 -1))))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (neg.f64 (sqrt.f64 -1))) (-.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (sqrt.f64 -1))))))
(+.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (sqrt.f64 -1)) (-.f64 (.f64 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) -1/2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 6) (sqrt.f64 -1))))))
(-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 -1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 x x) -1)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(-.f64 0 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 -1 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) -1)
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) -1)
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) -2)
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(neg.f64 (-.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(if (!=.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 x)) 0) (/.f64 (-.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x)))) (.f64 x x)) (/.f64 1 (.f64 x x))) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(if (!=.f64 (neg.f64 (/.f64 1 x)) 0) (/.f64 (.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 x)) (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(if (!=.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 0) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(if (!=.f64 (-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 0) (/.f64 (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x)))) (.f64 x x))) (-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 x)) (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(if (!=.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 0) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(-.f64 0 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) -1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(neg.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

eval79.0ms (3.8%)

Compiler: Compiled 3023 to 2434 computations (19.5% saved)

prune18.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Error

Counts

127 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(log.f64 (/.f64 2 x))
▶	0.5b	(log.f64 (-.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)))
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

localize15.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite95.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`rational_best-simplify-113`
538×	`rational_best-simplify-124`
486×	`rational_best-simplify-65`
472×	`rational_best-simplify-96`
470×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	46	25
2	227	25
3	1406	25

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/2) (+.f64 (.f64 2 (/.f64 1 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/2) (+.f64 0 (.f64 2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))) (+.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))) (.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))) (-.f64 1 (.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))) (-.f64 4 (.f64 -2 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 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(/.f64 1 x)) (.f64 x 1/2))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x x) 4)) (.f64 x 1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 2 (/.f64 1 x)) 0) (/.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 x) 4) x)) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x -1/2) 0) (/.f64 (-.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x x) 4)) (.f64 x 1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (/.f64 1 x) -2) 0) (/.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 x) 4) x)) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) 0)) 0) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (-.f64 (.f64 (/.f64 1 x) (.f64 (/.f64 1 x) 4)) (/.f64 (.f64 x x) 4)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))))))

Outputs

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

simplify63.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational_best-simplify-61`
1048×	`rational_best-simplify-65`
988×	`rational_best-simplify-96`
778×	`rational_best-simplify-3`
768×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1439
1	503	1439
2	3353	1439

Stop Event

1×	node limit

Counts

41 → 44

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) 0)
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (+.f64 (.f64 2 (/.f64 1 x)) 0))
(+.f64 (.f64 x -1/2) (+.f64 0 (.f64 2 (/.f64 1 x))))
(+.f64 0 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(.f64 (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)) 1)
(.f64 (+.f64 (.f64 x 1/2) (*.f64 (/.f64 1 x) -2)) -1)
(.f64 -1 (+.f64 (.f64 x 1/2) (*.f64 (/.f64 1 x) -2)))
(/.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) 1)
(/.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) -1)
(/.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) -2)
(/.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (+.f64 1 (+.f64 (.f64 x 1/2) (*.f64 (/.f64 1 x) -2))))
(/.f64 (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))) 2)
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) -4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))) (+.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))))
(/.f64 (-.f64 (.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))) (.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))) (-.f64 1 (.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))) (-.f64 4 (.f64 -2 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (*.f64 (/.f64 1 x) -2))))))
(/.f64 (-.f64 (.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))) (.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))))) (-.f64 (.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))))))
(pow.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) 1)
(neg.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))
(if (!=.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)) 0) (/.f64 (-.f64 (.f64 (/.f64 1 x) (.f64 (/.f64 1 x) 4)) (/.f64 (.f64 x x) 4)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x x) 4)) (.f64 x 1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(if (!=.f64 (.f64 2 (/.f64 1 x)) 0) (/.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 x) 4) x)) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(if (!=.f64 (.f64 x -1/2) 0) (/.f64 (-.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x x) 4)) (.f64 x 1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(if (!=.f64 (.f64 (/.f64 1 x) -2) 0) (/.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 x) 4) x)) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(if (!=.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) 0)) 0) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))
(if (!=.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (-.f64 (.f64 (/.f64 1 x) (.f64 (/.f64 1 x) 4)) (/.f64 (.f64 x x) 4)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) 0)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 x -1/2) (+.f64 (.f64 2 (/.f64 1 x)) 0))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 (.f64 x -1/2) (+.f64 0 (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(+.f64 0 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(.f64 (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)) 1)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(.f64 (+.f64 (.f64 x 1/2) (*.f64 (/.f64 1 x) -2)) -1)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(.f64 -1 (+.f64 (.f64 x 1/2) (*.f64 (/.f64 1 x) -2)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) 1)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) -1)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) -2)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (+.f64 1 (+.f64 (.f64 x 1/2) (*.f64 (/.f64 1 x) -2))))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))) 2)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) -4)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))) (+.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (-.f64 (.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))) (.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))) (-.f64 1 (.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (-.f64 (.f64 -2 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))) (-.f64 4 (.f64 -2 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x 1/2) (*.f64 (/.f64 1 x) -2))))))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(/.f64 (-.f64 (.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))))) (.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))))) (-.f64 (.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))) (.f64 (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (-.f64 -1 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))))))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(pow.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)) 1)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(neg.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(if (!=.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)) 0) (/.f64 (-.f64 (.f64 (/.f64 1 x) (.f64 (/.f64 1 x) 4)) (/.f64 (.f64 x x) 4)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))
(if (!=.f64 (-.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (-.f64 (.f64 4 (.f64 (/.f64 1 x) (/.f64 1 x))) (/.f64 (.f64 x x) 4)) (-.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2)))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x x) 4)) (.f64 x 1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (-.f64 1 (/.f64 0 x)) (/.f64 (.f64 x x) 4)) (.f64 x 1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2)) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2)))
(if (!=.f64 (.f64 2 (/.f64 1 x)) 0) (/.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 x) 4) x)) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(if (!=.f64 (.f64 2 (/.f64 1 x)) 0) (/.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 x) 4) x)) (.f64 2 (/.f64 1 x))) (-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)))
(if (!=.f64 (.f64 2 (/.f64 1 x)) 0) (/.f64 (.f64 (/.f64 1 x) (+.f64 x (.f64 (/.f64 1 x) -4))) (.f64 (/.f64 1 x) -2)) (-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)))
(if (!=.f64 (.f64 x -1/2) 0) (/.f64 (-.f64 (.f64 x (/.f64 1 x)) (/.f64 (.f64 x x) 4)) (.f64 x 1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(if (!=.f64 (.f64 x -1/2) 0) (/.f64 (-.f64 (-.f64 1 (/.f64 0 x)) (/.f64 (.f64 x x) 4)) (.f64 x 1/2)) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))
(if (!=.f64 (.f64 x -1/2) 0) (/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2)) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2)))
(if (!=.f64 (.f64 (/.f64 1 x) -2) 0) (/.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 x) 4) x)) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2)))
(if (!=.f64 (.f64 (/.f64 1 x) -2) 0) (/.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 1 x) 4) x)) (.f64 2 (/.f64 1 x))) (-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)))
(if (!=.f64 (.f64 (/.f64 1 x) -2) 0) (/.f64 (.f64 (/.f64 1 x) (+.f64 x (.f64 (/.f64 1 x) -4))) (.f64 (/.f64 1 x) -2)) (-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)))
(if (!=.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))) (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2)) 0)) 0) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
(if (!=.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (-.f64 (.f64 (/.f64 1 x) (.f64 (/.f64 1 x) 4)) (/.f64 (.f64 x x) 4)) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 x -1/2)))
(if (!=.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (-.f64 (.f64 4 (.f64 (/.f64 1 x) (/.f64 1 x))) (/.f64 (.f64 x x) 4)) (-.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) -2))) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2)))

localize5.0ms (0.3%)

Compiler: Compiled 10 to 7 computations (30% saved)

eval41.0ms (2%)

Compiler: Compiled 1303 to 1039 computations (20.3% saved)

prune7.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	43	4	47

Error

Counts

47 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(log.f64 (if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2)) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2))))
✓	0.9b	(log.f64 (/.f64 2 x))
✓	0.5b	(log.f64 (-.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)))
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 62 to 48 computations (22.6% saved)

localize81.0ms (3.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
✓	0.0b	(/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2))

Compiler

Compiled 139 to 99 computations (28.8% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2))
1.0ms	x	@	inf	(/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2))
0.0ms	x	@	-inf	(/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2))
0.0ms	x	@	0	(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))
0.0ms	x	@	-inf	(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))

rewrite80.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`rational_best-simplify-52`
660×	`rational_best-simplify-53`
656×	`rational_best-simplify-1`
482×	`rational_best-simplify-21`
482×	`rational_best-simplify-20`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	129	68
2	775	68
3	5643	68

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2))
(-.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))

Outputs

()

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

simplify88.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational_best-simplify-113`
724×	`rational_best-simplify-65`
720×	`rational_best-simplify-61`
694×	`rational_best-simplify-96`
652×	`rational_best-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	1042
1	368	1042
2	2467	1042

Stop Event

1×	node limit

Counts

46 → 27

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 0 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2))
(+.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)) 0)
(+.f64 (.f64 (/.f64 1 x) 2) (.f64 x -1/2))
(.f64 (+.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) 2)) 1)
(.f64 -1 (+.f64 (.f64 (/.f64 1 x) -2) (*.f64 x 1/2)))
(.f64 (+.f64 (.f64 (/.f64 1 x) -2) (*.f64 x 1/2)) -1)
(/.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)) 1)
(/.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) -1)
(/.f64 (+.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2))) -2)
(/.f64 (-.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)) (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)))) (-.f64 1 (+.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) 2))))
(pow.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)) 1)
(neg.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)))
(if (!=.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (+.f64 (.f64 -1/2 (.f64 x (.f64 x -1/2))) (.f64 (.f64 (/.f64 1 x) -2) (.f64 (/.f64 1 x) 2))) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(if (!=.f64 (.f64 (/.f64 1 x) -2) 0) (/.f64 (.f64 (.f64 (/.f64 1 x) -2) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2))) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(if (!=.f64 (.f64 x -1/2) 0) (/.f64 (.f64 (.f64 x -1/2) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2))) (.f64 x -1/2)) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) 0)) 0) (+.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(if (!=.f64 (+.f64 (.f64 (/.f64 1 x) 2) (.f64 x 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 (/.f64 1 x) 2) (.f64 (/.f64 1 x) 2)) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (+.f64 (.f64 (/.f64 1 x) 2) (.f64 x 1/2))) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) 2)) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (.f64 x 1/2)) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(if (!=.f64 (.f64 (/.f64 1 x) 2) 0) (/.f64 (-.f64 (.f64 (.f64 (/.f64 1 x) 2) (.f64 (/.f64 1 x) 2)) (.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) 2))) (.f64 (/.f64 1 x) 2)) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(if (!=.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)))) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2))) (+.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(if (!=.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) 0) (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)))) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2))) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 0 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)) 0)
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 (/.f64 1 x) 2) (.f64 x -1/2))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(.f64 (+.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) 2)) 1)
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(.f64 -1 (+.f64 (.f64 (/.f64 1 x) -2) (*.f64 x 1/2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(.f64 (+.f64 (.f64 (/.f64 1 x) -2) (*.f64 x 1/2)) -1)
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(/.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)) 1)
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(/.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) -1)
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(/.f64 (+.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2))) -2)
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(/.f64 (-.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)) (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)))) (-.f64 1 (+.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) 2))))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(pow.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)) 1)
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(neg.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(if (!=.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2)) 0) (/.f64 (+.f64 (.f64 -1/2 (.f64 x (.f64 x -1/2))) (.f64 (.f64 (/.f64 1 x) -2) (.f64 (/.f64 1 x) 2))) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) -2))) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(if (!=.f64 (.f64 (/.f64 1 x) -2) 0) (/.f64 (.f64 (.f64 (/.f64 1 x) -2) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2))) (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(if (!=.f64 (.f64 x -1/2) 0) (/.f64 (.f64 (.f64 x -1/2) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2))) (.f64 x -1/2)) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) 0)) 0) (+.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(if (!=.f64 (+.f64 (.f64 (/.f64 1 x) 2) (.f64 x 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 (/.f64 1 x) 2) (.f64 (/.f64 1 x) 2)) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (+.f64 (.f64 (/.f64 1 x) 2) (.f64 x 1/2))) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) 2)) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (.f64 x 1/2)) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(if (!=.f64 (.f64 (/.f64 1 x) 2) 0) (/.f64 (-.f64 (.f64 (.f64 (/.f64 1 x) 2) (.f64 (/.f64 1 x) 2)) (.f64 (.f64 x 1/2) (.f64 (/.f64 1 x) 2))) (.f64 (/.f64 1 x) 2)) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(if (!=.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) 0) (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)))) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2))) (+.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))
(if (!=.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) 0) (.f64 (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2)))) (+.f64 (.f64 (/.f64 1 x) -2) (.f64 x 1/2))) (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))

eval18.0ms (0.9%)

Compiler: Compiled 1160 to 897 computations (22.7% saved)

prune5.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	27	4	31

Error

Counts

31 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(log.f64 (if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2)) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2))))
✓	0.9b	(log.f64 (/.f64 2 x))
✓	0.5b	(log.f64 (-.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)))
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 62 to 48 computations (22.6% saved)

regimes14.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log.f64 (-.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)))
(log.f64 (if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2)) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

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

Calls

3 calls:

6.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
3.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 88 to 64 computations (27.3% saved)

regimes4.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs

(log.f64 (/.f64 2 x))

(log.f64 (-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 x 1/2)))

(log.f64 (if (!=.f64 (*.f64 x 1/2) 0) (/.f64 (-.f64 (/.f64 (*.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (*.f64 x -1/2)) (-.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) -2))))

Outputs
(log.f64 (if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2)) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2))))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 48 to 37 computations (22.9% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.4b remaining (-97.6%)

Threshold costs -0.4b (-97.6%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(log.f64 (-.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)))

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	166

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2)) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2))))
(log.f64 (-.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)))
(log.f64 (/.f64 2 x))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (if (!=.f64 (.f64 x 1/2) 0) (/.f64 (-.f64 (/.f64 (.f64 x x) 4) (-.f64 1 (/.f64 0 x))) (.f64 x -1/2)) (-.f64 (.f64 x -1/2) (*.f64 (/.f64 1 x) -2))))
(log.f64 (-.f64 (.f64 2 (/.f64 1 x)) (.f64 x 1/2)))
(log.f64 (/.f64 2 x))

Compiler

Compiled 62 to 48 computations (22.6% saved)

soundness0.0ms (0%)

end77.0ms (3.7%)

Compiler: Compiled 59 to 44 computations (25.4% saved)

Details

analyze4.0ms (0.2%)

sample995.0ms (48.1%)

preprocess49.0ms (2.4%)

simplify108.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.9%)

series3.0ms (0.1%)

rewrite102.0ms (4.9%)

simplify86.0ms (4.2%)

eval79.0ms (3.8%)

prune18.0ms (0.9%)

localize15.0ms (0.7%)

series1.0ms (0.1%)

rewrite95.0ms (4.6%)

simplify63.0ms (3.1%)

localize5.0ms (0.3%)

eval41.0ms (2%)

prune7.0ms (0.3%)

localize81.0ms (3.9%)

series2.0ms (0.1%)

rewrite80.0ms (3.9%)

simplify88.0ms (4.3%)

eval18.0ms (0.9%)

prune5.0ms (0.2%)

regimes14.0ms (0.7%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end77.0ms (3.7%)

Profiling