Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.2s (29.8%)

Results

1.8s	4235×	body	1024	valid
514.0ms	2052×	body	512	valid
415.0ms	376×	body	2048	valid
391.0ms	1593×	body	256	valid

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% 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

59.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`rational.json-5`
1250×	`exponential.json-3`
1250×	`rational.json-1`
1250×	`rational.json-2`
1250×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	57	11
2	180	11
3	656	11
4	2463	11

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify258.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-49`
1368×	`rational.json-simplify-2`
990×	`rational.json-simplify-43`
934×	`rational.json-simplify-54`
724×	`rational.json-simplify-58`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	391
1	81	345
2	271	345
3	1664	253
4	5274	253
5	7534	253

Stop Event

1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

eval6.0ms (0.1%)

Compiler: Compiled 327 to 265 computations (19% saved)

prune5.0ms (0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Error

59.3b

Counts

23 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.3b	(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
▶	61.7b	(.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
▶	61.7b	(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
✓	59.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 70 to 58 computations (17.1% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (acos.f64 (-.f64 1 x)))
✓	0.0b	(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
✓	0.1b	(*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 41 to 32 computations (22% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational.json-simplify-47`
920×	`rational.json-simplify-54`
726×	`rational.json-simplify-58`
548×	`rational.json-simplify-55`
456×	`rational.json-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	93
1	85	55
2	272	55
3	986	55
4	4354	55

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(/.f64 1 (acos.f64 (-.f64 1 x)))

Outputs
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Outputs

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

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simplify207.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1338×	`rational.json-simplify-2`
1082×	`rational.json-simplify-47`
752×	`rational.json-simplify-50`
716×	`rational.json-simplify-55`
702×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1901
1	303	1859
2	533	1859
3	2388	1775
4	6930	1775

Stop Event

1×	node limit

Counts

91 → 71

Calls

Call 1

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

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

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
✓	0.0b	(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
	0.1b	(*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 110 to 87 computations (20.9% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite135.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`rational.json-simplify-49`
844×	`rational.json-simplify-50`
816×	`rational.json-simplify-47`
716×	`rational.json-simplify-54`
700×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	108
1	100	108
2	313	108
3	1149	108
4	4949	108

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs

(*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))

(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))

Outputs

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simplify218.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational.json-simplify-2`
1078×	`rational.json-simplify-47`
828×	`rational.json-simplify-54`
664×	`rational.json-simplify-43`
616×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	4069
1	397	4069
2	772	4069
3	2332	4069
4	6589	4069

Stop Event

1×	node limit

Counts

87 → 71

Calls

Call 1

Inputs
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 4)
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 0)
(+.f64 0 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(-.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 0)
(-.f64 0 (neg.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) 1)
(/.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1)
(/.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(pow.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1)
(neg.f64 (neg.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(fabs.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(fabs.f64 (neg.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
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(fabs.f64 (.f64 (fabs.f64 (acos.f64 (-.f64 1 x))) (/.f64 (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (fabs.f64 (/.f64 (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))))))
(fabs.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (neg.f64 (acos.f64 (-.f64 1 x)))))
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(fabs.f64 (/.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (fabs.f64 (acos.f64 (-.f64 1 x))) 2))))
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(-.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 0)
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(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) 1)
(.f64 1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
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(neg.f64 (neg.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))

Outputs
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 4)
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 1 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3))
(/.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
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(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
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(+.f64 0 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
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(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(-.f64 0 (neg.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
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(-.f64 (-.f64 0 (-.f64 -1 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) 1)
(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
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(/.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1)
(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
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(/.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
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(pow.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1)
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(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
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(fabs.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
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(fabs.f64 (neg.f64 (.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
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(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(fabs.f64 (-.f64 0 (.f64 (neg.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (fabs.f64 (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))))
(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(fabs.f64 (-.f64 0 (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (fabs.f64 (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))))))
(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(.f64 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 0)
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 0 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 0)
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(-.f64 0 (neg.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) 1)
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1)
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (/.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (.f64 (/.f64 1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (/.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) (/.f64 (.f64 (/.f64 1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(.f64 (.f64 (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(pow.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1)
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(neg.f64 (neg.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (acos.f64 (-.f64 1 x)))
✓	2.8b	(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 36 to 30 computations (16.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`rational.json-5`
1784×	`exponential.json-3`
1784×	`rational.json-1`
1784×	`rational.json-2`
1784×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	113	28
2	333	28
3	1015	28
4	3770	28

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 -1 (acos.f64 (-.f64 1 x)))

Outputs

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

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

simplify176.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1468×	`rational.json-simplify-50`
1214×	`rational.json-simplify-58`
1198×	`rational.json-simplify-43`
1190×	`rational.json-simplify-54`
598×	`rational.json-simplify-71`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	1088
1	146	952
2	411	952
3	2281	952
4	5737	952

Stop Event

1×	node limit

Counts

68 → 47

Calls

Call 1

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

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

eval619.0ms (5.8%)

Compiler: Compiled 19202 to 15726 computations (18.1% saved)

prune114.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	501	8	509
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	504	9	513

Error

59.3b

Counts

513 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.3b	(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) 1)) 1)
▶	59.3b	(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)
	59.3b	(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
▶	59.3b	(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
▶	61.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
	61.7b	(.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1) (acos.f64 (-.f64 1 x))))))
▶	61.7b	(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
	61.7b	(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
✓	59.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 385 to 332 computations (13.8% saved)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))
✓	0.0b	(/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x))))
✓	2.8b	(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 111 to 95 computations (14.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite170.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`rational.json-simplify-47`
638×	`rational.json-simplify-55`
608×	`rational.json-5`
606×	`exponential.json-3`
606×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	135
1	140	85
2	440	73
3	1432	73
4	5688	73

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

(-.f64 (-.f64 0 (*.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)

(/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x))))

(*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 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simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1908×	`rational.json-simplify-47`
1096×	`rational.json-simplify-49`
1086×	`rational.json-simplify-50`
1018×	`rational.json-simplify-54`
808×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	4156
1	393	4016
2	730	3316
3	2827	3316

Stop Event

1×	node limit

Counts

120 → 101

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (acos.f64 (-.f64 1 x)))
✓	2.7b	(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 25 to 20 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`rational.json-5`
1514×	`exponential.json-3`
1514×	`rational.json-1`
1514×	`rational.json-2`
1514×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	82	28
2	240	28
3	814	28
4	3038	28

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (/.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (/.f64 (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) (/.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (-.f64 1 x)) (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (/.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))) (/.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (/.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))))

simplify196.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational.json-simplify-49`
1134×	`rational.json-simplify-54`
1072×	`rational.json-simplify-2`
882×	`rational.json-simplify-1`
564×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	1106
1	194	1090
2	825	1090
3	2528	1090
4	6691	1090

Stop Event

1×	node limit

Counts

76 → 61

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) 1)
✓	2.8b	(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) 1)) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 48 to 41 computations (14.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2002×	`rational.json-5`
2000×	`rational.json-1`
2000×	`rational.json-2`
2000×	`rational.json-4`
2000×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	124	46
2	386	28
3	1237	28
4	4239	28

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) 1)) 1)
(+.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) 1)

Outputs

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

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

simplify162.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1174×	`rational.json-simplify-111`
1014×	`rational.json-simplify-49`
808×	`rational.json-simplify-2`
734×	`rational.json-simplify-54`
728×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1148
1	180	1124
2	629	1124
3	2062	1108
4	5442	1108

Stop Event

1×	node limit

Counts

76 → 61

Calls

Call 1

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

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
	0.1b	(*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
	2.8b	(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 79 to 67 computations (15.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))

0.0ms

-inf

(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))

0.0ms

inf

(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))

rewrite120.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-simplify-49`
1016×	`rational.json-simplify-47`
822×	`rational.json-simplify-50`
590×	`rational.json-5`
588×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	141	49
2	428	11
3	1395	11
4	5350	11

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 -2 (-.f64 1 (acos.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -2 (-.f64 1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (+.f64 -1 (-.f64 -2 (acos.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 2 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 -2 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (+.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (acos.f64 (-.f64 1 x)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -3 (+.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -3 (+.f64 -1 (-.f64 -2 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (acos.f64 (-.f64 1 x)) -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (-.f64 1 x)) (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))))

simplify218.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1478×	`rational.json-simplify-79`
1094×	`rational.json-simplify-2`
634×	`rational.json-simplify-44`
610×	`rational.json-simplify-73`
584×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	563
1	145	555
2	495	555
3	1137	555
4	2138	555
5	3307	555
6	4652	555
7	6610	555

Stop Event

1×	node limit

Counts

49 → 41

Calls

Call 1

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

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

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
	0.1b	(*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
	2.8b	(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 154 to 128 computations (16.9% saved)

eval671.0ms (6.3%)

Compiler: Compiled 28414 to 24072 computations (15.3% saved)

prune170.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	799	8	807
Fresh	1	2	3
Picked	1	0	1
Done	3	2	5
Total	804	12	816

Error

59.3b

Counts

816 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.3b	(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)
	59.3b	(-.f64 (-.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 2)
▶	59.3b	(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1))) 1)
✓	59.3b	(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
▶	59.3b	(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)
▶	59.3b	(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)
	61.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
	61.7b	(.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1) (acos.f64 (-.f64 1 x))))))
▶	61.7b	(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
	61.7b	(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
	61.7b	(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
✓	59.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 604 to 528 computations (12.6% saved)

localize80.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))
✓	0.0b	(.f64 (/.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
✓	2.7b	(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 209 to 178 computations (14.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite158.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`rational.json-simplify-47`
934×	`rational.json-simplify-55`
846×	`rational.json-simplify-43`
698×	`rational.json-5`
696×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	355
1	136	355
2	426	79
3	1627	67
4	7074	67

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs

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

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

(*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))

Outputs

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

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

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

simplify229.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1112×	`rational.json-simplify-47`
1028×	`rational.json-simplify-2`
888×	`rational.json-simplify-111`
750×	`rational.json-simplify-49`
658×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	156	2682
1	339	2658
2	782	2658
3	2869	2658
4	7684	2658

Stop Event

1×	node limit

Counts

110 → 93

Calls

Call 1

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

Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 x -1)))
(acos.f64 (-.f64 (neg.f64 x) -1))
(acos.f64 (+.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 x -1)))
(acos.f64 (-.f64 (neg.f64 x) -1))
(acos.f64 (+.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 x -1)))
(acos.f64 (-.f64 (neg.f64 x) -1))
(acos.f64 (+.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 x -1)))
(acos.f64 (-.f64 (neg.f64 x) -1))
(acos.f64 (+.f64 1 (neg.f64 x)))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
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(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (fabs.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))))))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))
(fabs.f64 (/.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))
(fabs.f64 (/.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))))))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))
(fabs.f64 (/.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))))))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (fabs.f64 (+.f64 -1 (acos.f64 (-.f64 1 x)))) 2))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (fabs.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (fabs.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (fabs.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (fabs.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))) (fabs.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(fabs.f64 (/.f64 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))) (neg.f64 (fabs.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.9b	(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)
0.0ms	x	@	-inf	(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)
0.0ms	x	@	inf	(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`rational.json-5`
1582×	`exponential.json-3`
1582×	`rational.json-1`
1582×	`rational.json-2`
1582×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	91	11
2	257	11
3	906	11
4	3266	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)

Outputs

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

simplify291.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-47`
1206×	`rational.json-simplify-49`
1126×	`rational.json-simplify-41`
1052×	`rational.json-simplify-2`
872×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	297
1	56	297
2	199	297
3	1321	297
4	5393	297
5	7516	297

Stop Event

1×	node limit

Counts

27 → 16

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
✓	0.1b	(pow.f64 (acos.f64 (-.f64 1 x)) 2)
	2.8b	(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 74 to 64 computations (13.5% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite128.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`rational.json-simplify-47`
732×	`rational.json-simplify-54`
644×	`rational.json-simplify-58`
602×	`rational.json-simplify-50`
592×	`rational.json-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	144	56
2	412	56
3	1313	56
4	5069	56

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

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

simplify206.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

986×	`rational.json-simplify-50`
888×	`rational.json-simplify-55`
706×	`rational.json-simplify-104`
622×	`rational.json-simplify-42`
600×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	1081
1	143	1029
2	305	1029
3	1002	925
4	3760	925
5	7301	925

Stop Event

1×	node limit

Counts

47 → 37

Calls

Call 1

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

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))
✓	0.1b	(.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))
✓	2.7b	(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 84 to 71 computations (15.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite141.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`rational.json-simplify-47`
848×	`rational.json-simplify-58`
572×	`rational.json-simplify-55`
534×	`rational.json-5`
534×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	140
1	110	40
2	341	28
3	1240	28
4	5132	28

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (acos.f64 (-.f64 1 x)) -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (/.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))))

simplify180.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-54`
1170×	`rational.json-simplify-43`
988×	`rational.json-simplify-58`
950×	`rational.json-simplify-1`
740×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	1055
1	188	1039
2	659	1039
3	3429	1039
4	6704	1039

Stop Event

1×	node limit

Counts

73 → 57

Calls

Call 1

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

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

localize66.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x))))
✓	0.0b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)
✓	2.8b	(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1))) 1)
	4.6b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 180 to 158 computations (12.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite145.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`rational.json-simplify-47`
712×	`rational.json-5`
710×	`exponential.json-3`
710×	`rational.json-1`
710×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	136
1	168	112
2	520	62
3	1695	50
4	6450	50

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

Inputs

(-.f64 (-.f64 0 (*.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1))) 1)

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)

Outputs

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

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simplify243.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1658×	`rational.json-simplify-111`
1170×	`rational.json-simplify-2`
1002×	`rational.json-simplify-50`
830×	`rational.json-simplify-54`
670×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	4845
1	454	4709
2	1137	4029
3	2716	4029
4	7610	4029

Stop Event

1×	node limit

Counts

131 → 115

Calls

Call 1

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

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

eval672.0ms (6.3%)

Compiler: Compiled 31571 to 27406 computations (13.2% saved)

prune163.0ms (1.5%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	793	9	802
Fresh	2	3	5
Picked	1	0	1
Done	3	3	6
Total	799	15	814

Error

59.3b

Counts

814 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.3b	(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)
	59.3b	(-.f64 (-.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 2)
	59.3b	(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))) -1))) 1)
	59.3b	(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)
	59.3b	(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))) (/.f64 (/.f64 1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))))) 1)
	59.3b	(-.f64 (-.f64 0 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))))) (/.f64 (/.f64 1 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x))))))) (-.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1))) 1)
✓	59.3b	(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
	59.3b	(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (+.f64 -1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)
	59.3b	(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) 1)
	59.3b	(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)
	61.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
	61.7b	(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
	61.7b	(*.f64 (/.f64 1 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
	61.7b	(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
✓	59.3b	(acos.f64 (-.f64 1 x))

Compiler

Compiled 536 to 474 computations (11.6% saved)

regimes47.0ms (0.4%)

Counts

29 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)
(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (-.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 2)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) 1)) 1)
(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) 1)
(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)
(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))) -1))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)
(.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1) (acos.f64 (-.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(.f64 (/.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1) (acos.f64 (-.f64 1 x)))) (.f64 (acos.f64 (-.f64 1 x)) (.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)
(+.f64 (.f64 (/.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (+.f64 -1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)
(-.f64 (-.f64 0 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))))) (/.f64 (/.f64 1 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x))))))) (-.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))) (/.f64 (/.f64 1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))))) 1)

Outputs

(-.f64 (-.f64 0 (*.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (*.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)

Calls

3 calls:

15.0ms	x
5.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
59.3b	1	`x`
59.3b	1	`(acos.f64 (-.f64 1 x))`
59.3b	1	`(-.f64 1 x)`

Compiler

Compiled 902 to 786 computations (12.9% saved)

regimes30.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)
(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (-.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 2)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) 1)) 1)
(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) 1)
(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)
(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))) -1))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1))) 1)

Outputs
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))) -1))) 1)

Calls

3 calls:

12.0ms	x
4.0ms	(-.f64 1 x)
4.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
59.3b	1	`x`
59.3b	1	`(acos.f64 (-.f64 1 x))`
59.3b	1	`(-.f64 1 x)`

Compiler

Compiled 382 to 337 computations (11.8% saved)

regimes26.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)
(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (-.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 2)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) 1)) 1)
(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) 1)
(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)
(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)

Outputs
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)

Calls

3 calls:

10.0ms	x
4.0ms	(acos.f64 (-.f64 1 x))
4.0ms	(-.f64 1 x)

Results

Error	Segments	Branch
59.3b	1	`x`
59.3b	1	`(acos.f64 (-.f64 1 x))`
59.3b	1	`(-.f64 1 x)`

Compiler

Compiled 320 to 281 computations (12.2% saved)

regimes22.0ms (0.2%)

Accuracy

Total -2.4b remaining (-4.1%)

Threshold costs -2.4b (-4.1%)

Counts

15 → 1

Calls

Call 1

Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(-.f64 (-.f64 (acos.f64 (-.f64 1 x)) 3) -3)
(-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (-.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 2)
(-.f64 (-.f64 0 (+.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) 1)) 1)
(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) 1)
(.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (.f64 (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (acos.f64 (-.f64 1 x)))) 1)) (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1))

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

Calls

3 calls:

9.0ms	x
4.0ms	(-.f64 1 x)
3.0ms	(acos.f64 (-.f64 1 x))

Results

Error	Segments	Branch
59.3b	1	`x`
59.3b	1	`(acos.f64 (-.f64 1 x))`
59.3b	1	`(-.f64 1 x)`

Compiler

Compiled 236 to 206 computations (12.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	333

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))) -1))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)
(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))

Outputs
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (acos.f64 (-.f64 1 x))))))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 1 (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x))))) -1))) 1)
(-.f64 (-.f64 0 (.f64 (/.f64 1 (-.f64 -1 (acos.f64 (-.f64 1 x)))) (.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 -1 (acos.f64 (-.f64 1 x)))))) 1)
(+.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))

Compiler

Compiled 115 to 102 computations (11.3% saved)

soundness0.0ms (0%)

end66.0ms (0.6%)

Compiler: Compiled 111 to 98 computations (11.7% saved)

Details

analyze1.0ms (0%)

sample3.2s (29.8%)

preprocess5.0ms (0.1%)

simplify15.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0%)

series0.0ms (0%)

rewrite82.0ms (0.8%)

simplify258.0ms (2.4%)

eval6.0ms (0.1%)

prune5.0ms (0%)

localize53.0ms (0.5%)

series3.0ms (0%)

rewrite117.0ms (1.1%)

simplify207.0ms (2%)

localize46.0ms (0.4%)

series5.0ms (0%)

rewrite135.0ms (1.3%)

simplify218.0ms (2.1%)

localize15.0ms (0.1%)

series1.0ms (0%)

rewrite91.0ms (0.9%)

simplify176.0ms (1.7%)

eval619.0ms (5.8%)

prune114.0ms (1.1%)

localize46.0ms (0.4%)

series4.0ms (0%)

rewrite170.0ms (1.6%)

simplify126.0ms (1.2%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite85.0ms (0.8%)

simplify196.0ms (1.8%)

localize22.0ms (0.2%)

series1.0ms (0%)

rewrite98.0ms (0.9%)

simplify162.0ms (1.5%)

localize32.0ms (0.3%)

series0.0ms (0%)

rewrite120.0ms (1.1%)

simplify218.0ms (2.1%)

localize61.0ms (0.6%)

eval671.0ms (6.3%)

prune170.0ms (1.6%)

localize80.0ms (0.8%)

series4.0ms (0%)

rewrite158.0ms (1.5%)

simplify229.0ms (2.2%)

localize12.0ms (0.1%)

series0.0ms (0%)

rewrite86.0ms (0.8%)

simplify291.0ms (2.7%)

localize31.0ms (0.3%)

series1.0ms (0%)

rewrite128.0ms (1.2%)

simplify206.0ms (1.9%)

localize34.0ms (0.3%)

series1.0ms (0%)

rewrite141.0ms (1.3%)

simplify180.0ms (1.7%)

localize66.0ms (0.6%)

series1.0ms (0%)

rewrite145.0ms (1.4%)

simplify243.0ms (2.3%)

eval672.0ms (6.3%)

prune163.0ms (1.5%)

regimes47.0ms (0.4%)

regimes30.0ms (0.3%)

regimes26.0ms (0.2%)

regimes22.0ms (0.2%)

simplify11.0ms (0.1%)

soundness0.0ms (0%)

end66.0ms (0.6%)

Profiling