Details

analyze142.0ms (12.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
25%	68.7%	6.3%	6
34.3%	53.1%	12.6%	7
46.8%	39%	14.1%	8
53.1%	28.9%	18%	9
60.1%	20.7%	19.2%	10
63.6%	15%	21.4%	11
67.3%	10.6%	22%	12
69.2%	7.7%	23.2%	13
71.1%	5.4%	23.5%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample764.0ms (66.8%)

Results

728.0ms	8256×	body	128	valid
15.0ms	174×	body	128	invalid

Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess14.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (+.f64 (*.f64 y y) x))

Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 y y) x))
(sqrt.f64 (fma.f64 y y x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))

Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(sqrt.f64 (fma.f64 x x y))

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

22.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	22.2b	(sqrt.f64 (fma.f64 x x y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize7.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	20.6b	(sqrt.f64 (fma.f64 x x y))

series6.0ms (0.5%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(sqrt.f64 (fma.f64 x x y))
1.0ms	x	@	0	(sqrt.f64 (fma.f64 x x y))
1.0ms	x	@	inf	(sqrt.f64 (fma.f64 x x y))
1.0ms	y	@	-inf	(sqrt.f64 (fma.f64 x x y))
1.0ms	y	@	0	(sqrt.f64 (fma.f64 x x y))

rewrite31.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

439×	`pow1_binary64`
404×	`add-log-exp_binary64`
404×	`log1p-expm1-u_binary64`
404×	`expm1-log1p-u_binary64`
393×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	98	6
2	1121	6

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 x x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x x y) 1/4) (pow.f64 (fma.f64 x x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x y) 1/4) (pow.f64 (fma.f64 x x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))))))

simplify27.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

653×	`times-frac_binary64`
423×	`cancel-sign-sub-inv_binary64`
421×	`associate-/l*_binary64`
345×	`fma-neg_binary64`
339×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	329
1	156	325
2	453	311
3	1743	309

Stop Event

1×	node limit

Counts

37 → 43

Calls

Call 1

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

Outputs
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x x))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (sqrt.f64 y))
(-.f64 (+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))))
(+.f64 (sqrt.f64 y) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x))) (.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 y) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (.f64 (.f64 -1/8 (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4)) -1/8 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x x)) (sqrt.f64 y)))
(-.f64 (+.f64 (sqrt.f64 y) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))))
(+.f64 (sqrt.f64 y) (-.f64 (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4)))))
(+.f64 (+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (sqrt.f64 y)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 (pow.f64 x 6) 1/16))) (.f64 (.f64 -1/8 (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4)) -1/8 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 1/16 (pow.f64 x 6)) (sqrt.f64 y))))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(fma.f64 1/2 (/.f64 y x) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 y x)) x) (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (/.f64 y x) x) (.f64 -1/8 (/.f64 (.f64 y y) (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (/.f64 y x) x) (/.f64 (.f64 -1/8 (.f64 y y)) (pow.f64 x 3)))
(fma.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) -1/8 (fma.f64 1/2 (/.f64 y x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) x)) (.f64 -1/8 (/.f64 (.f64 y y) (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) x)) (/.f64 (.f64 -1/8 (.f64 y y)) (pow.f64 x 3)))
(fma.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) -1/8 (fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) x)))
(*.f64 -1 x)
(neg.f64 x)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 y x)) x))
(neg.f64 (fma.f64 1/2 (/.f64 y x) x))
(-.f64 (*.f64 (/.f64 y x) -1/2) x)
(-.f64 (/.f64 -1/2 (/.f64 x y)) x)
(-.f64 (*.f64 (/.f64 -1/2 x) y) x)
(-.f64 (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 y x)) x))
(-.f64 (.f64 1/8 (/.f64 (.f64 y y) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 y x) x))
(-.f64 (/.f64 (.f64 1/8 (.f64 y y)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 y x) x))
(-.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y (/.f64 x (/.f64 1/8 x))) 1/2)) x)
(-.f64 (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) x)))
(-.f64 (.f64 1/8 (/.f64 (.f64 y y) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) x)))
(-.f64 (/.f64 (.f64 1/8 (.f64 y y)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) x)))
(-.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y (/.f64 x (/.f64 1/8 x))) 1/2)) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) x))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(fma.f64 1/2 (/.f64 y x) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 y x)) x) (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (/.f64 y x) x) (.f64 -1/8 (/.f64 (.f64 y y) (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (/.f64 y x) x) (/.f64 (.f64 -1/8 (.f64 y y)) (pow.f64 x 3)))
(fma.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) -1/8 (fma.f64 1/2 (/.f64 y x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) x)) (.f64 -1/8 (/.f64 (.f64 y y) (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) x)) (/.f64 (.f64 -1/8 (.f64 y y)) (pow.f64 x 3)))
(fma.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) -1/8 (fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) x)))

prune20.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Status	Error	Program
▶	40.8b	(neg.f64 x)
✓	22.2b	(sqrt.f64 (fma.f64 x x y))
	42.3b	x

Compiler

Compiled 545 to 310 computations (43.1% saved)

localize1.0ms (0.1%)

prune1.0ms (0.1%)

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

Status	Error	Program
✓	40.8b	(neg.f64 x)
✓	22.2b	(sqrt.f64 (fma.f64 x x y))
▶	42.3b	x

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize1.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	40.8b	(neg.f64 x)
✓	22.2b	(sqrt.f64 (fma.f64 x x y))
✓	42.3b	x

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes72.0ms (6.3%)

Accuracy

Total 0.1b remaining (95.7%)

Threshold costs 0.1b (95.7%)

Counts

7 → 3

Compiler

Compiled 56 to 31 computations (44.6% saved)

bsearch5.0ms (0.5%)

Algorithm

2×	binary-search

Calls

2 calls:

3.0ms	x
2.0ms	x

Steps

Iters	Point		Range
5e+133	∈ [	1.867557742355764e+133	,	7.501698431347343e+133	]
-1e+155	∈ [	-3.7304360021714626e+155	,	-3.8831053899961446e+151	]

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	17	23
2	19	23
3	20	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (neg.f64 x) (if (<=.f64 x 49999999999999996074101824835349657503774913686486230752187555524924150803830162236428630807572544714024682228918922745266209965473792) (sqrt.f64 (fma.f64 x x y)) x))

Inputs

(if (<=.f64 x -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (neg.f64 x) (if (<=.f64 x 49999999999999996074101824835349657503774913686486230752187555524924150803830162236428630807572544714024682228918922745266209965473792) (sqrt.f64 (fma.f64 x x y)) x))

Outputs
(if (<=.f64 x -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (neg.f64 x) (if (<=.f64 x 49999999999999996074101824835349657503774913686486230752187555524924150803830162236428630807572544714024682228918922745266209965473792) (sqrt.f64 (fma.f64 x x y)) x))

Outputs

(if (<=.f64 x -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (neg.f64 x) (if (<=.f64 x 49999999999999996074101824835349657503774913686486230752187555524924150803830162236428630807572544714024682228918922745266209965473792) (sqrt.f64 (fma.f64 x x y)) x))

end41.0ms (3.6%)

Stop Event

1×

done

Compiler

Compiled 50 to 31 computations (38% saved)

Details

analyze142.0ms (12.4%)

sample764.0ms (66.8%)

preprocess14.0ms (1.2%)

simplify6.0ms (0.5%)

prune2.0ms (0.2%)

localize7.0ms (0.6%)

series6.0ms (0.5%)

rewrite31.0ms (2.7%)

simplify27.0ms (2.4%)

prune20.0ms (1.7%)

localize1.0ms (0.1%)

prune1.0ms (0.1%)

localize1.0ms (0.1%)

prune1.0ms (0.1%)

regimes72.0ms (6.3%)

bsearch5.0ms (0.5%)

simplify2.0ms (0.2%)

end41.0ms (3.6%)

Profiling