Details

analyze4.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample675.0ms (56.6%)

Results

663.0ms

8256×

body

256

valid

preprocess80.0ms (6.7%)

Algorithm

2×	egg-herbie

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify27.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

eval1.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite32.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

64× egg-rr

Counts

1 → 64

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (fma.f64 x x 1)) (.f64 (/.f64 x (fma.f64 x x 1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (fma.f64 x x 1)) 0) (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (fma.f64 x x 1)) (.f64 0 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 x (fma.f64 x x 1))) (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 -1 (.f64 x x))) (/.f64 x (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2/3) -1) (/.f64 (cbrt.f64 x) (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2/3) (+.f64 (pow.f64 x 6) 1)) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 x 6) 1)) (/.f64 x (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 x) (+.f64 (pow.f64 x 6) 1)) (/.f64 (pow.f64 x 2/3) (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (pow.f64 x 6) 1)) (/.f64 (neg.f64 x) (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x -1) (/.f64 -1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 (pow.f64 x 6) 1)) (/.f64 1 (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x x 1) -1/3) (/.f64 x (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 x) -1) (/.f64 (neg.f64 (pow.f64 x 2/3)) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 -1 (.f64 x x)))) (/.f64 (neg.f64 (pow.f64 x 2/3)) (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (fma.f64 x x 1))) (/.f64 (pow.f64 x 2/3) (neg.f64 (pow.f64 (fma.f64 x x 1) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (/.f64 (pow.f64 x 2/3) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 -1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (/.f64 x (fma.f64 x x 1)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2/3) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2/3) (fma.f64 x x 1)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (fma.f64 x x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (fma.f64 x x 1) 2/3)) (pow.f64 (fma.f64 x x 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2/3) (cbrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 2/3) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 x) (fma.f64 x x 1)) (pow.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 x) -1) (/.f64 (pow.f64 x 2/3) (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x x 1) 2/3)) (/.f64 (pow.f64 x 2/3) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (fma.f64 x x 1) -1/3)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2)) (/.f64 (neg.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (neg.f64 x)) 1) (/.f64 (pow.f64 x 2/3) (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (fma.f64 x x 1) -1/3)) (/.f64 x (neg.f64 (pow.f64 (fma.f64 x x 1) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 x (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 -1 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 -1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (fma.f64 x x 1) -1/3) x) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2/3) (cbrt.f64 x)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2/3) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 x 2/3)) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (fma.f64 x x 1) 2/3)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (/.f64 x (fma.f64 x x 1)) 2/3)) (cbrt.f64 (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) 1) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x -1) (-.f64 -1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 (pow.f64 x 6) 1)) (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) 1) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) (cbrt.f64 (fma.f64 x x 1))) (neg.f64 (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1)))) (neg.f64 (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (fma.f64 x x 1)) (*.f64 (/.f64 x (fma.f64 x x 1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (fma.f64 x x 1)) 0) (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (fma.f64 x x 1)) (*.f64 0 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 x (fma.f64 x x 1))) (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 -1 (*.f64 x x))) (/.f64 x (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2/3) -1) (/.f64 (cbrt.f64 x) (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2/3) (+.f64 (pow.f64 x 6) 1)) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 6) 1)) (/.f64 x (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (+.f64 (pow.f64 x 6) 1)) (/.f64 (pow.f64 x 2/3) (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 x 6) 1)) (/.f64 (neg.f64 x) (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (/.f64 -1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 x 6) 1)) (/.f64 1 (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/3) (/.f64 x (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) -1) (/.f64 (neg.f64 (pow.f64 x 2/3)) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 -1 (*.f64 x x)))) (/.f64 (neg.f64 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(cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (fma.f64 x x 1) -1/3)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2)) (/.f64 (neg.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (neg.f64 x)) 1) (/.f64 (pow.f64 x 2/3) (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (fma.f64 x x 1) -1/3)) (/.f64 x (neg.f64 (pow.f64 (fma.f64 x x 1) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 x x 1) -1/3) x) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2/3) (cbrt.f64 x)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2/3) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 x 2/3)) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (fma.f64 x x 1) 2/3)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (/.f64 x (fma.f64 x x 1)) 2/3)) (cbrt.f64 (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) 1) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x -1) (-.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 (pow.f64 x 6) 1)) (/.f64 1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1))) 1) (pow.f64 (fma.f64 x x 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) (cbrt.f64 (fma.f64 x x 1))) (neg.f64 (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (cbrt.f64 (fma.f64 x x 1)))) (neg.f64 (pow.f64 (fma.f64 x x 1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x (-.f64 -1 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))))

simplify93.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

76 → 78

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(-.f64 (+.f64 (pow.f64 x 5) x) (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(-.f64 (-.f64 (+.f64 (pow.f64 x 5) x) (pow.f64 x 3)) (pow.f64 x 7))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (pow.f64 x -5) (/.f64 1 x)) (pow.f64 x -3))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (pow.f64 x -5) (/.f64 1 x)) (+.f64 (pow.f64 x -3) (pow.f64 x -7)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (pow.f64 x -5) (/.f64 1 x)) (pow.f64 x -3))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (pow.f64 x -5) (/.f64 1 x)) (+.f64 (pow.f64 x -3) (pow.f64 x -7)))

eval23.0ms (2%)

Compiler: Compiled 1046 to 679 computations (35.1% saved)

prune10.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Error

Counts

79 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.1b	(/.f64 1 x)
✓	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
	30.9b	x

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

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

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

Click to see full alt table

Status	Error	Program
✓	31.1b	(/.f64 1 x)
✓	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
	30.9b	x

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.1b	(/.f64 1 x)
✓	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
	30.9b	x

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.1b	(/.f64 1 x)
✓	14.7b	(/.f64 x (+.f64 (*.f64 x x) 1))
	30.9b	x

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes35.0ms (2.9%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
(/.f64 1 x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 1 x)

Calls

2 calls:

25.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
9.0ms	x

Results

Error	Segments	Branch
0b	3	`x`
0.1b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch29.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1888.8247890618795	53858691384054160.0
15.0ms	-5.152898084025443e+28	-2.7953102060695912e+20

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes12.0ms (1%)

Accuracy

Total -61.1b remaining (-11984%)

Threshold costs -61.1b (-11984%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

Outputs
(/.f64 1 x)
x
(/.f64 1 x)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch33.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.0029421815227809534	1888.8247890618795
16.0ms	-251682915.918413	-0.0057880256772278186

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify73.0ms (6.1%)

Algorithm

1×	egg-herbie

Stop Event

1×

fuel

Calls

Call 1

Inputs

(if (<=.f64 x -51528980840254430066860097536) (/.f64 1 x) (if (<=.f64 x 2076784818405087/1099511627776) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))

(if (<=.f64 x -8445077287746107/33554432) (/.f64 1 x) (if (<=.f64 x 3392104348071081/1152921504606846976) x (/.f64 1 x)))

Outputs
(if (<=.f64 x -51528980840254430066860097536) (/.f64 1 x) (if (<=.f64 x 2076784818405087/1099511627776) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -51528980840254430066860097536) (/.f64 1 x) (if (<=.f64 x 2076784818405087/1099511627776) (/.f64 x (fma.f64 x x 1)) (/.f64 1 x)))
(if (<=.f64 x -8445077287746107/33554432) (/.f64 1 x) (if (<=.f64 x 3392104348071081/1152921504606846976) x (/.f64 1 x)))
x

Compiler

Compiled 40 to 27 computations (32.5% saved)

soundness0.0ms (0%)

end52.0ms (4.4%)

Compiler: Compiled 38 to 25 computations (34.2% saved)

Details

analyze4.0ms (0.4%)

sample675.0ms (56.6%)

preprocess80.0ms (6.7%)

simplify27.0ms (2.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.5%)

series2.0ms (0.1%)

rewrite32.0ms (2.7%)

simplify93.0ms (7.8%)

eval23.0ms (2%)

prune10.0ms (0.8%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes35.0ms (2.9%)

bsearch29.0ms (2.4%)

regimes12.0ms (1%)

bsearch33.0ms (2.8%)

simplify73.0ms (6.1%)

soundness0.0ms (0%)

end52.0ms (4.4%)

Profiling