Details

analyze14.0ms (0.1%)

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%	100%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
81.3%	81.2%	18.7%	0%	0%	0%	0%	5
90.6%	90.6%	9.4%	0%	0%	0%	0%	6
95.3%	95.3%	4.7%	0%	0%	0%	0%	7
97.7%	97.6%	2.3%	0%	0%	0%	0%	8
98.8%	98.8%	1.2%	0%	0%	0%	0%	9
99.4%	99.4%	0.6%	0%	0%	0%	0%	10
99.7%	99.7%	0.3%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample11.0s (75.4%)

Results

8.9s	4222×	body	2048	valid
2.0s	4034×	body	256	valid

Bogosity

preprocess200.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1360×	`rational_best-simplify-83`
1138×	`rational_best-simplify-66`
966×	`rational_best-simplify-3`
902×	`rational_best-simplify-1`
900×	`rational_best-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	20	35
2	36	35
3	67	29
4	137	23
5	343	23
6	909	23
7	3338	23
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify270.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1360×	`rational_best-simplify-83`
1138×	`rational_best-simplify-66`
966×	`rational_best-simplify-3`
902×	`rational_best-simplify-1`
900×	`rational_best-simplify-55`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	20	35
2	36	35
3	67	29
4	137	23
5	343	23
6	909	23
7	3338	23

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 43 to 15 computations (65.1% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

30.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(/.f64 (-.f64 x (sqrt.f64 (*.f64 x x))) x)
▶	30.0b	(-.f64 (/.f64 x x) (/.f64 (sqrt.f64 (*.f64 x x)) x))

Compiler

Compiled 20 to 11 computations (45% saved)

localize29.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	28.9b	(sqrt.f64 (*.f64 x x))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite455.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational_best-4`
1388×	`rational_best-2`
1388×	`rational_best-3`
1388×	`rational_best-1`
1388×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	41	11
2	93	11
3	247	11
4	840	11
5	3960	11

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (.f64 x x)) 4) (+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (.f64 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (.f64 x x)) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (.f64 x x)) 4) (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (.f64 x x)) 4)) (/.f64 (sqrt.f64 (.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 2) 2) (/.f64 (sqrt.f64 (.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 4) (/.f64 (sqrt.f64 (.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (.f64 x x)) 4)) (neg.f64 (/.f64 (sqrt.f64 (.f64 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (.f64 x x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (sqrt.f64 (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) 2) (/.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (sqrt.f64 (.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (sqrt.f64 x)) (.f64 1/2 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (neg.f64 x))) (.f64 1/2 (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (fabs.f64 x))) (.f64 1/2 (sqrt.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 x) 2)) (/.f64 (sqrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 x) 2)) (.f64 1/2 (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (fabs.f64 (sqrt.f64 x))) (fabs.f64 (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (fabs.f64 (sqrt.f64 x))) (.f64 1/2 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (fabs.f64 (sqrt.f64 x))) (/.f64 (fabs.f64 (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (sqrt.f64 (neg.f64 x))) (fabs.f64 (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (sqrt.f64 (fabs.f64 x))) (fabs.f64 (sqrt.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (/.f64 (sqrt.f64 x) 2)) (.f64 2 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) 1/2) (.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (neg.f64 (sqrt.f64 x))) (.f64 -2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (fabs.f64 (sqrt.f64 x))) (.f64 2 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (sqrt.f64 (neg.f64 x))) (.f64 2 (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (sqrt.f64 (fabs.f64 x))) (.f64 2 (sqrt.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 x) 4) (.f64 2 (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fabs.f64 (sqrt.f64 x)) 2) (.f64 2 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x))) (.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fabs.f64 (sqrt.f64 x))) (neg.f64 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (fabs.f64 x))) (neg.f64 (sqrt.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 (sqrt.f64 x) 2)) (.f64 2 (.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)) (+.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (fabs.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (sqrt.f64 1/2)) (fabs.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (sqrt.f64 (+.f64 x x))) (fabs.f64 (sqrt.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (sqrt.f64 (.f64 x 1/2))) (fabs.f64 (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 (fabs.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (sqrt.f64 (.f64 x (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (.f64 x 1/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fabs.f64 x) 2)) (sqrt.f64 (.f64 (fabs.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (.f64 x 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x 4)) (sqrt.f64 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x 1/4)) (sqrt.f64 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (neg.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4)) (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 x) 2)) (.f64 2 (.f64 (sqrt.f64 x) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (neg.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 2) (/.f64 (sqrt.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 4) (+.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 2) (/.f64 (sqrt.f64 (*.f64 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 4) (/.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 2) (/.f64 (sqrt.f64 (*.f64 x x)) 4)) (/.f64 (sqrt.f64 (*.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 3) 2) 2) (/.f64 (sqrt.f64 (*.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 3) 4) (/.f64 (sqrt.f64 (*.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 2) (/.f64 (sqrt.f64 (*.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 2) (/.f64 (sqrt.f64 (*.f64 x x)) 4)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 x x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (sqrt.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 2) (/.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 1/2))))) (#(struct:change 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(*.f64 1/2 (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (fabs.f64 x))) (*.f64 1/2 (sqrt.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x x)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 2)) (/.f64 (sqrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 2)) (*.f64 1/2 (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fabs.f64 (sqrt.f64 x))) (fabs.f64 (/.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fabs.f64 (sqrt.f64 x))) (*.f64 1/2 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fabs.f64 (sqrt.f64 x))) (/.f64 (fabs.f64 (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 (neg.f64 x))) (fabs.f64 (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 (fabs.f64 x))) (fabs.f64 (sqrt.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x x))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 (sqrt.f64 x) 2)) (*.f64 2 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 1/2) (*.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (neg.f64 (sqrt.f64 x))) (*.f64 -2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (fabs.f64 (sqrt.f64 x))) (*.f64 2 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (neg.f64 x))) (*.f64 2 (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (fabs.f64 x))) (*.f64 2 (sqrt.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 4) (*.f64 2 (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 (sqrt.f64 x)) 2) (*.f64 2 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x))) (*.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 (sqrt.f64 x))) (neg.f64 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fabs.f64 x))) (neg.f64 (sqrt.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) 2)) (*.f64 2 (*.f64 (sqrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)) (+.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) (fabs.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 1/2)) (fabs.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 (+.f64 x x))) (fabs.f64 (sqrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 (*.f64 x 1/2))) (fabs.f64 (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 (fabs.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x 1/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fabs.f64 x) 2)) (sqrt.f64 (*.f64 (fabs.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x 4)) (sqrt.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/4)) (sqrt.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (neg.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x x)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 x x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 2)) (*.f64 2 (*.f64 (sqrt.f64 x) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x))))))))

simplify294.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational_best-simplify-51`
904×	`rational_best-simplify-76`
896×	`rational_best-simplify-75`
736×	`rational_best-simplify-66`
664×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1139
1	451	1139
2	1130	1139
3	3869	1139

Stop Event

1×	node limit

Counts

113 → 105

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(+.f64 (sqrt.f64 (*.f64 x x)) 0)
(+.f64 0 (sqrt.f64 (*.f64 x x)))
(+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (.f64 x x)) 2))
(+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 4) (+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (*.f64 x x)) 4)))
(+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 x x)) 3) 2) 2))
(+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 4) (/.f64 (.f64 (sqrt.f64 (*.f64 x x)) 3) 4))
(+.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (.f64 x x)) 4)) (/.f64 (sqrt.f64 (*.f64 x x)) 4))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 2) 2) (/.f64 (sqrt.f64 (*.f64 x x)) 4))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 4) (/.f64 (sqrt.f64 (*.f64 x x)) 4))
(-.f64 (sqrt.f64 (*.f64 x x)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 x x))))
(-.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (.f64 x x)) -2))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) (/.f64 (sqrt.f64 (.f64 x x)) 4)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 x x)) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 x x)) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 x x)) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) 4))
(.f64 (sqrt.f64 (.f64 x x)) 1)
(.f64 1 (sqrt.f64 (.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 x))))
(.f64 2 (/.f64 (sqrt.f64 (.f64 x x)) 2))
(.f64 2 (.f64 (sqrt.f64 (*.f64 x x)) 1/2))
(.f64 2 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 x x)) 2) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 x x)) 2))
(.f64 1/2 (sqrt.f64 (.f64 x (*.f64 x 4))))
(.f64 (neg.f64 (sqrt.f64 (.f64 x x))) -1)
(.f64 (.f64 (sqrt.f64 x) 2) (/.f64 (sqrt.f64 x) 2))
(.f64 (.f64 (sqrt.f64 x) 2) (*.f64 (sqrt.f64 x) 1/2))
(.f64 (.f64 (sqrt.f64 (*.f64 x x)) 4) 1/4)
(.f64 (/.f64 (sqrt.f64 (.f64 x x)) 2) 2)
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)))
(.f64 -2 (/.f64 (sqrt.f64 (.f64 x x)) -2))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 x x)) 4))
(.f64 (/.f64 (sqrt.f64 x) 2) (.f64 (sqrt.f64 x) 2))
(.f64 (.f64 -2 (sqrt.f64 x)) (*.f64 1/2 (neg.f64 (sqrt.f64 x))))
(.f64 (.f64 2 (sqrt.f64 (neg.f64 x))) (*.f64 1/2 (sqrt.f64 (neg.f64 x))))
(.f64 (.f64 2 (sqrt.f64 (fabs.f64 x))) (*.f64 1/2 (sqrt.f64 (fabs.f64 x))))
(.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4)) 1/8)
(.f64 (.f64 2 (*.f64 (sqrt.f64 x) 2)) (/.f64 (sqrt.f64 x) 4))
(.f64 (.f64 2 (.f64 (sqrt.f64 x) 2)) (.f64 1/2 (/.f64 (sqrt.f64 x) 2)))
(.f64 (.f64 2 (fabs.f64 (sqrt.f64 x))) (fabs.f64 (/.f64 (sqrt.f64 x) 2)))
(.f64 (.f64 2 (fabs.f64 (sqrt.f64 x))) (*.f64 1/2 (fabs.f64 (sqrt.f64 x))))
(.f64 (.f64 2 (fabs.f64 (sqrt.f64 x))) (/.f64 (fabs.f64 (sqrt.f64 x)) 2))
(*.f64 (fabs.f64 (sqrt.f64 (neg.f64 x))) (fabs.f64 (sqrt.f64 (neg.f64 x))))
(*.f64 (fabs.f64 (sqrt.f64 (fabs.f64 x))) (fabs.f64 (sqrt.f64 (fabs.f64 x))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x x))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 x (+.f64 x x))))
(.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (+.f64 x x)))
(.f64 (fabs.f64 (/.f64 (sqrt.f64 x) 2)) (.f64 2 (fabs.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (*.f64 x x)) 1/2) 2)
(.f64 (.f64 (sqrt.f64 x) 1/2) (*.f64 (sqrt.f64 x) 2))
(.f64 (.f64 1/2 (neg.f64 (sqrt.f64 x))) (*.f64 -2 (sqrt.f64 x)))
(.f64 (.f64 1/2 (fabs.f64 (sqrt.f64 x))) (*.f64 2 (fabs.f64 (sqrt.f64 x))))
(.f64 (.f64 1/2 (sqrt.f64 (neg.f64 x))) (*.f64 2 (sqrt.f64 (neg.f64 x))))
(.f64 (.f64 1/2 (sqrt.f64 (fabs.f64 x))) (*.f64 2 (sqrt.f64 (fabs.f64 x))))
(.f64 1/8 (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4)))
(.f64 (/.f64 (sqrt.f64 x) 4) (.f64 2 (*.f64 (sqrt.f64 x) 2)))
(.f64 (/.f64 (fabs.f64 (sqrt.f64 x)) 2) (.f64 2 (fabs.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(.f64 (+.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x))) (.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)))
(*.f64 (neg.f64 (fabs.f64 (sqrt.f64 x))) (neg.f64 (fabs.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (fabs.f64 x))) (neg.f64 (sqrt.f64 (fabs.f64 x))))
(.f64 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2)) 2)
(.f64 (.f64 1/2 (/.f64 (sqrt.f64 x) 2)) (.f64 2 (.f64 (sqrt.f64 x) 2)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 1/2)) (+.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (fabs.f64 (sqrt.f64 1/2)))
(.f64 (fabs.f64 (sqrt.f64 1/2)) (fabs.f64 (sqrt.f64 (.f64 x (+.f64 x x)))))
(.f64 (fabs.f64 (sqrt.f64 (+.f64 x x))) (fabs.f64 (sqrt.f64 (.f64 x 1/2))))
(.f64 (fabs.f64 (sqrt.f64 (.f64 x 1/2))) (fabs.f64 (sqrt.f64 (+.f64 x x))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 x) 2)) (sqrt.f64 (/.f64 (fabs.f64 x) 2)))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 x (*.f64 x 1/2))))
(.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (/.f64 x 4)))
(.f64 (sqrt.f64 (.f64 x 4)) (sqrt.f64 (*.f64 x 1/4)))
(.f64 (sqrt.f64 (.f64 x (*.f64 x 1/2))) (sqrt.f64 2))
(.f64 (sqrt.f64 (/.f64 (fabs.f64 x) 2)) (sqrt.f64 (.f64 (fabs.f64 x) 2)))
(.f64 (sqrt.f64 (.f64 x (*.f64 x 4))) 1/2)
(.f64 (sqrt.f64 (/.f64 x 4)) (sqrt.f64 (.f64 x 4)))
(.f64 (sqrt.f64 (.f64 x 1/4)) (sqrt.f64 (*.f64 x 4)))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (neg.f64 (fabs.f64 x))))
(/.f64 (sqrt.f64 (*.f64 x x)) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 x x)) 2) 2)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) -1)
(/.f64 (.f64 (sqrt.f64 (.f64 x x)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 x x)) 4)) 8)
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) -1)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4)) (.f64 2 (.f64 (sqrt.f64 (.f64 x x)) 4))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 x) 2)) (.f64 2 (*.f64 (sqrt.f64 x) 2))) 16)
(pow.f64 (sqrt.f64 (*.f64 x x)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 x x))))
(neg.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 (*.f64 x x)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 x x))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x))))

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

localize29.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	28.9b	(sqrt.f64 (*.f64 x x))

Compiler

Compiled 23 to 5 computations (78.3% saved)

eval293.0ms (2%)

Compiler: Compiled 3077 to 1328 computations (56.8% saved)

prune117.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	210	2	212

Error

Counts

212 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.0b	(/.f64 (-.f64 x (neg.f64 x)) x)
▶	31.0b	(/.f64 (-.f64 x x) x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

localize6.0ms (0%)

Compiler: Compiled 10 to 3 computations (70% saved)

localize33.0ms (0.2%)

Compiler: Compiled 14 to 4 computations (71.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.0b	(/.f64 (-.f64 x (neg.f64 x)) x)
✓	31.0b	(/.f64 (-.f64 x x) x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes61.0ms (0.4%)

Accuracy

Total -62.5b remaining (-∞%)

Threshold costs -62.5b (-∞%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x (neg.f64 x)) x)
(/.f64 (-.f64 x x) x)

Calls

2 calls:

40.0ms	x
19.0ms	(-.f64 (/.f64 x x) (.f64 (/.f64 1 x) (sqrt.f64 (.f64 x x))))

Results

Error	Segments	Branch
0b	2	`x`
6.8b	2	`(-.f64 (/.f64 x x) (.f64 (/.f64 1 x) (sqrt.f64 (.f64 x x))))`

Compiler

Compiled 57 to 26 computations (54.4% saved)

bsearch130.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
130.0ms	-2.1071262081311155e-307	8.973303621213993e-307

Results

101.0ms	64×	body	2048	valid
11.0ms	64×	body	256	valid

Compiler

Compiled 137 to 83 computations (39.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 (-.f64 x (neg.f64 x)) x) (/.f64 (-.f64 x x) x))
(/.f64 (-.f64 x x) x)

Inputs

(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 (-.f64 x (neg.f64 x)) x) (/.f64 (-.f64 x x) x))

(/.f64 (-.f64 x x) x)

Outputs
(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 (-.f64 x (neg.f64 x)) x) (/.f64 (-.f64 x x) x))
(/.f64 (-.f64 x x) x)

Outputs

(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 (-.f64 x (neg.f64 x)) x) (/.f64 (-.f64 x x) x))

(/.f64 (-.f64 x x) x)

Compiler

Compiled 22 to 12 computations (45.5% saved)

soundness1.6s (10.9%)

Algorithm

3×	egg-herbie

Rules

1378×	`rational_best-simplify-51`
1360×	`rational_best-simplify-83`
1360×	`rational_best-simplify-83`
1138×	`rational_best-simplify-66`
1138×	`rational_best-simplify-66`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	20	35
2	36	35
3	67	29
4	137	23
5	343	23
6	909	23
7	3338	23
0	201	1139
1	451	1139
2	1130	1139
3	3869	1139
0	11	35
1	20	35
2	36	35
3	67	29
4	137	23
5	343	23
6	909	23
7	3338	23

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 155 to 56 computations (63.9% saved)

end71.0ms (0.5%)

Compiler: Compiled 21 to 9 computations (57.1% saved)

Details

analyze14.0ms (0.1%)

sample11.0s (75.4%)

preprocess200.0ms (1.4%)

simplify270.0ms (1.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize29.0ms (0.2%)

series1.0ms (0%)

rewrite455.0ms (3.1%)

simplify294.0ms (2%)

localize29.0ms (0.2%)

eval293.0ms (2%)

prune117.0ms (0.8%)

localize6.0ms (0%)

localize33.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes61.0ms (0.4%)

bsearch130.0ms (0.9%)

simplify3.0ms (0%)

soundness1.6s (10.9%)

end71.0ms (0.5%)

Profiling