Details

analyze113.0ms (4.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	5
26.7%	25%	68.7%	0.1%	0%	6.2%	0%	6
39.3%	34.3%	53.1%	0.1%	0%	12.5%	0%	7
54.5%	46.8%	39%	0.1%	0%	14%	0%	8
64.8%	53.1%	28.9%	0.1%	0%	18%	0%	9
74.4%	60.1%	20.7%	0.1%	0%	19.1%	0%	10
80.9%	63.6%	15%	0.1%	0%	21.3%	0%	11
86.4%	67.3%	10.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.5s (53.3%)

Results

1.4s	8256×	body	256	valid
44.0ms	350×	body	256	invalid

Bogosity

preprocess28.0ms (1%)

Algorithm

2×	egg-herbie

Rules

8×	`rational.json-simplify-54`
8×	`rational.json-simplify-55`
4×	`rational.json-simplify-73`
4×	`rational.json-simplify-71`
4×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	15	34
2	19	34
3	23	34
4	31	34
5	31	34
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 (+.f64 (*.f64 y y) x))
(sqrt.f64 (+.f64 x (*.f64 y y)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify33.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-73`
2×	`rational.json-simplify-71`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	10	17
2	12	17
3	14	17
4	18	17
5	18	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% 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

22.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.5b	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) y)
✓	20.8b	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 18 to 5 computations (72.2% saved)

series5.0ms (0.2%)

Counts

2 → 40

Calls

12 calls:

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

rewrite113.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`rational.json-5`
1780×	`exponential.json-3`
1780×	`rational.json-1`
1780×	`rational.json-2`
1780×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	68	30
2	233	30
3	862	30
4	3504	30

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

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

Outputs

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

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

simplify243.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational.json-simplify-58`
1056×	`rational.json-simplify-47`
750×	`rational.json-simplify-1`
720×	`rational.json-simplify-2`
680×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	1332
1	177	1324
2	396	1324
3	1239	1324
4	4147	1324
5	6844	1324

Stop Event

1×	node limit

Counts

64 → 75

Calls

Call 1

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

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

eval25.0ms (0.9%)

Compiler: Compiled 1376 to 776 computations (43.6% saved)

prune16.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	6	76

Error

Counts

76 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.0b	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
▶	44.1b	(+.f64 (neg.f64 x) (*.f64 (/.f64 y x) -1/2))
✓	22.5b	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	40.6b	(sqrt.f64 y)
▶	44.1b	(neg.f64 x)
	40.9b	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize3.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize3.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize10.0ms (0.4%)

Compiler: Compiled 23 to 10 computations (56.5% saved)

localize7.0ms (0.3%)

Compiler: Compiled 20 to 9 computations (55% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.0b	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	44.1b	(+.f64 (neg.f64 x) (*.f64 (/.f64 y x) -1/2))
✓	22.5b	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	40.6b	(sqrt.f64 y)
✓	44.1b	(neg.f64 x)
	40.9b	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.0b	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	44.1b	(+.f64 (neg.f64 x) (*.f64 (/.f64 y x) -1/2))
✓	22.5b	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	40.6b	(sqrt.f64 y)
✓	44.1b	(neg.f64 x)
	40.9b	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune7.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.0b	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	44.1b	(+.f64 (neg.f64 x) (*.f64 (/.f64 y x) -1/2))
✓	22.5b	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	40.6b	(sqrt.f64 y)
✓	44.1b	(neg.f64 x)
	40.9b	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes75.0ms (2.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	y
15.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
15.0ms	x
9.0ms	(+.f64 (*.f64 x x) y)
7.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.0b	3	`x`
15.9b	5	`y`
9.0b	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
9.0b	2	`(+.f64 (*.f64 x x) y)`
9.0b	2	`(*.f64 x x)`

Compiler

Compiled 54 to 30 computations (44.4% saved)

bsearch5.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	6.192961484401735e+136	2.043822189081207e+143
2.0ms	-4.2369906500751606e+155	-6.459570000709718e+146

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 53 to 37 computations (30.2% saved)

regimes40.0ms (1.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	y
15.0ms	x

Results

Error	Segments	Branch
5.5b	3	`x`
24.6b	5	`y`

Compiler

Compiled 28 to 15 computations (46.4% saved)

bsearch40.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	3.173108570772196e-13	59.5415635718104
18.0ms	-1.058180744746417e-36	-3.1904609180169236e-40

Results

28.0ms	288×	body	256	valid
6.0ms	76×	body	256	invalid

Compiler

Compiled 291 to 215 computations (26.1% saved)

regimes34.0ms (1.3%)

Counts

4 → 2

Calls

Call 1

Inputs
x
(neg.f64 x)
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(+.f64 (neg.f64 x) (*.f64 (/.f64 y x) -1/2))

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

Calls

2 calls:

25.0ms	y
8.0ms	x

Results

Error	Segments	Branch
21.6b	2	`x`
35.6b	5	`y`

Compiler

Compiled 26 to 14 computations (46.2% saved)

bsearch23.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	-3.892042957926276e-306	1.529203941905555e-304

Results

13.0ms	144×	body	256	valid
7.0ms	73×	body	256	invalid

Compiler

Compiled 202 to 144 computations (28.7% saved)

regimes31.0ms (1.1%)

Counts

3 → 2

Calls

Call 1

Inputs
x
(neg.f64 x)
(+.f64 (*.f64 1/2 (/.f64 y x)) x)

Outputs
(neg.f64 x)
(+.f64 (*.f64 1/2 (/.f64 y x)) x)

Calls

2 calls:

22.0ms	y
8.0ms	x

Results

Error	Segments	Branch
21.7b	2	`x`
35.7b	5	`y`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch19.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	2.0052929114505828e-195	2.037146263566617e-193

Results

12.0ms	112×	body	256	valid
4.0ms	54×	body	256	invalid

Compiler

Compiled 118 to 86 computations (27.1% saved)

regimes27.0ms (1%)

Accuracy

Total -41.5b remaining (-190.7%)

Threshold costs -41.5b (-190.7%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(neg.f64 x)

Outputs
(neg.f64 x)
x

Calls

2 calls:

20.0ms	y
6.0ms	x

Results

Error	Segments	Branch
21.7b	2	`x`
35.7b	5	`y`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch23.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	-3.892042957926276e-306	1.529203941905555e-304

Results

13.0ms	144×	body	256	valid
7.0ms	66×	body	256	invalid

Compiler

Compiled 94 to 72 computations (23.4% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	206

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -400000000000000002870492616364067321632245924756641247226851088585002646721953360513066427938304757321546295253187048545040326136917876903810934614708453376) (neg.f64 x) (if (<=.f64 x 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (sqrt.f64 (+.f64 (*.f64 x x) y)) x))
(if (<=.f64 x -8122226366589211/766247770432944429179173513575154591809369561091801088) (+.f64 (neg.f64 x) (.f64 (/.f64 y x) -1/2)) (if (<=.f64 x 4382356096103031/37778931862957161709568) (sqrt.f64 y) (+.f64 (.f64 1/2 (/.f64 y x)) x)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (+.f64 (neg.f64 x) (.f64 (/.f64 y x) -1/2)) (+.f64 (.f64 1/2 (/.f64 y x)) x))
(if (<=.f64 x 5391639299087083/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688) (neg.f64 x) (+.f64 (*.f64 1/2 (/.f64 y x)) x))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (neg.f64 x) x)
x

Outputs
(if (<=.f64 x -400000000000000002870492616364067321632245924756641247226851088585002646721953360513066427938304757321546295253187048545040326136917876903810934614708453376) (neg.f64 x) (if (<=.f64 x 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (sqrt.f64 (+.f64 (*.f64 x x) y)) x))
(if (<=.f64 x -8122226366589211/766247770432944429179173513575154591809369561091801088) (+.f64 (neg.f64 x) (.f64 (/.f64 y x) -1/2)) (if (<=.f64 x 4382356096103031/37778931862957161709568) (sqrt.f64 y) (+.f64 (.f64 1/2 (/.f64 y x)) x)))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (+.f64 (neg.f64 x) (.f64 (/.f64 y x) -1/2)) (+.f64 (.f64 1/2 (/.f64 y x)) x))
(if (<=.f64 x 5391639299087083/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688) (neg.f64 x) (+.f64 (*.f64 1/2 (/.f64 y x)) x))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (neg.f64 x) x)
x

Compiler

Compiled 94 to 60 computations (36.2% saved)

soundness282.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational.json-simplify-58`
1056×	`rational.json-simplify-47`
750×	`rational.json-simplify-1`
720×	`rational.json-simplify-2`
680×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	1332
1	177	1324
2	396	1324
3	1239	1324
4	4147	1324
5	6844	1324

Stop Event

1×	node limit

Compiler

Compiled 10 to 7 computations (30% saved)

end47.0ms (1.7%)

Compiler: Compiled 84 to 44 computations (47.6% saved)

Details

analyze113.0ms (4.1%)

sample1.5s (53.3%)

preprocess28.0ms (1%)

simplify33.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.5%)

series5.0ms (0.2%)

rewrite113.0ms (4.1%)

simplify243.0ms (8.9%)

eval25.0ms (0.9%)

prune16.0ms (0.6%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize10.0ms (0.4%)

localize7.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune7.0ms (0.2%)

regimes75.0ms (2.7%)

bsearch5.0ms (0.2%)

regimes40.0ms (1.5%)

bsearch40.0ms (1.5%)

regimes34.0ms (1.3%)

bsearch23.0ms (0.8%)

regimes31.0ms (1.1%)

bsearch19.0ms (0.7%)

regimes27.0ms (1%)

bsearch23.0ms (0.8%)

simplify6.0ms (0.2%)

soundness282.0ms (10.3%)

end47.0ms (1.7%)

Profiling