Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample673.0ms (47.9%)

Results

660.0ms	8256×	body	256	valid
0.0ms	6×	body	256	invalid

Bogosity

preprocess175.0ms (12.5%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify68.0ms (4.8%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))

eval1.0ms (0.1%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize13.0ms (0.9%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series13.0ms (0.9%)

Counts

1 → 4

Calls

3 calls:

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

Compiler

Compiled 1270 to 1140 computations (10.2% saved)

rewrite71.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

24× egg-rr

Counts

1 → 24

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))

simplify293.0ms (20.9%)

Algorithm

1×

egglog

Counts

28 → 31

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) 2))
(*.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))
(fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/2 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (.f64 -1/2 (.f64 x x))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 (pow.f64 x 6) -1/16 (fma.f64 (pow.f64 x 4) -1/8 (.f64 -1/2 (.f64 x x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) 2) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))

eval19.0ms (1.3%)

Compiler: Compiled 461 to 354 computations (23.2% saved)

prune11.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Error

Counts

32 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(fma.f64 (*.f64 x x) -1/2 1)
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	0.6b	1

Compiler

Compiled 16 to 12 computations (25% saved)

localize9.0ms (0.6%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(fma.f64 (*.f64 x x) -1/2 1)
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	0.6b	1

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(fma.f64 (*.f64 x x) -1/2 1)
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	0.6b	1

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(fma.f64 (*.f64 x x) -1/2 1)
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	0.6b	1

Compiler

Compiled 16 to 12 computations (25% saved)

regimes18.0ms (1.3%)

Accuracy

Total -0.6b remaining (-15123.1%)

Threshold costs -0.6b (-15123.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(sqrt.f64 (-.f64 1 (*.f64 x x)))`
0.0b	1	`(-.f64 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify1.0ms (0.1%)

Stop Event

1×

fuel

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness0.0ms (0%)

end26.0ms (1.9%)

Compiler: Compiled 8 to 6 computations (25% saved)

Details

analyze3.0ms (0.2%)

sample673.0ms (47.9%)

preprocess175.0ms (12.5%)

simplify68.0ms (4.8%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

localize13.0ms (0.9%)

series13.0ms (0.9%)

rewrite71.0ms (5.1%)

simplify293.0ms (20.9%)

eval19.0ms (1.3%)

prune11.0ms (0.8%)

localize9.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes18.0ms (1.3%)

simplify1.0ms (0.1%)

soundness0.0ms (0%)

end26.0ms (1.9%)

Profiling