Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample823.0ms (68%)

Results

811.0ms	8256×	body	256	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess28.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative`
6×	`fma-def`
2×	`1-exp`
2×	`fma-neg`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	19	15
2	24	15
3	25	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (.f64 (.f64 x x) 2) 1)

Outputs
(-.f64 (.f64 (.f64 x x) 2) 1)
(fma.f64 (*.f64 x x) 2 -1)
(fma.f64 x (*.f64 x 2) -1)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify12.0ms (1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
6×	`fma-def`
2×	`1-exp`
2×	`fma-neg`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	19	15
2	24	15
3	25	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) 2) 1)

Outputs
(-.f64 (.f64 (.f64 x x) 2) 1)
(fma.f64 (*.f64 x x) 2 -1)
(fma.f64 x (*.f64 x 2) -1)

eval1.0ms (0.1%)

Compiler: Compiled 20 to 13 computations (35% saved)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0%	(fma.f64 x (*.f64 x 2) -1)
▶	0.01%	(-.f64 (.f64 (.f64 x x) 2) 1)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (.f64 (.f64 x x) 2) 1)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (.f64 (.f64 x x) 2) 1)
0.0ms	x	@	0	(-.f64 (.f64 (.f64 x x) 2) 1)
0.0ms	x	@	-inf	(-.f64 (.f64 (.f64 x x) 2) 1)

rewrite69.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`add-sqr-sqrt`
1492×	`*-un-lft-identity`
1394×	`add-cube-cbrt`
1384×	`add-cbrt-cube`
1374×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	169	15
2	2026	15

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) 2) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 x (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 x x) 2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 x x) 2 -1)) (sqrt.f64 (fma.f64 (.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 x x) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 2 -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 2 -1)) 2) (cbrt.f64 (fma.f64 (.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1) (/.f64 1 (fma.f64 (.f64 x x) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1) (/.f64 1 (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x (sqrt.f64 2)) 1) (-.f64 (.f64 x (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x x) 2 1) (+.f64 (.f64 4 (pow.f64 x 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1)) (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1) (fma.f64 (.f64 x x) 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1) (-.f64 (.f64 x (.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1) (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1) (+.f64 (.f64 4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 x (.f64 x 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1)) (neg.f64 (fma.f64 (.f64 x x) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1)) (neg.f64 (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 x x) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) 2 -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 2 -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 x x) 2 -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) 2 -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) 2 -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (.f64 x (.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) 2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 2)) (.f64 x (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 2))) -1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) 2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (/.f64 1 (fma.f64 (*.f64 x x) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (sqrt.f64 2)) 1) (-.f64 (*.f64 x (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x x) 2 1) (+.f64 (*.f64 4 (pow.f64 x 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1)) (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (fma.f64 (*.f64 x x) 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1) (-.f64 (*.f64 x (*.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1) (+.f64 (*.f64 4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x (*.f64 x 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) -1)) (neg.f64 (fma.f64 (*.f64 x x) 2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x x) 3)) -1)) (neg.f64 (+.f64 (*.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 x (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 2))) -1)))))

simplify65.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1404×	`distribute-lft-in`
1352×	`distribute-rgt-in`
1298×	`associate-/l*`
1078×	`associate-r`
872×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	1079
1	203	989
2	759	989
3	3549	989

Stop Event

1×	node limit

Counts

47 → 52

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(*.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 (.f64 x (.f64 x 2)) -1)
(+.f64 -1 (.f64 x (.f64 x 2)))
(.f64 1 (fma.f64 (.f64 x x) 2 -1))
(.f64 (fma.f64 (.f64 x x) 2 -1) 1)
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) 2 -1)) (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 2 -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)))
(.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1) (/.f64 1 (fma.f64 (*.f64 x x) 2 1)))
(.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1) (/.f64 1 (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))
(.f64 (+.f64 (.f64 x (sqrt.f64 2)) 1) (-.f64 (*.f64 x (sqrt.f64 2)) 1))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 2 1) (+.f64 (.f64 4 (pow.f64 x 4)) -1)))
(/.f64 1 (/.f64 (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1)) (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1)))
(/.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1) (fma.f64 (.f64 x x) 2 1))
(/.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1) (-.f64 (.f64 x (*.f64 x 2)) -1))
(/.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1) (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1)))
(/.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1) (+.f64 (.f64 4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 x (.f64 x 2)) -1))))
(/.f64 (neg.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1)) (neg.f64 (fma.f64 (.f64 x x) 2 1)))
(/.f64 (neg.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1)) (neg.f64 (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1))))
(pow.f64 (fma.f64 (*.f64 x x) 2 -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 2 -1)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3))
(expm1.f64 (log.f64 (.f64 x (.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) 2 -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 x (*.f64 x 2) -1)
(fma.f64 (*.f64 x x) 2 -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 1 (.f64 x (.f64 x 2)) -1)
(fma.f64 (.f64 x (sqrt.f64 2)) (.f64 x (sqrt.f64 2)) -1)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 2))) -1)

Outputs
-1
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 2 x))
(.f64 2 (.f64 x x))
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 2 x))
(.f64 2 (.f64 x x))
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(-.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(+.f64 (.f64 x (.f64 x 2)) -1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(+.f64 -1 (.f64 x (.f64 x 2)))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(.f64 1 (fma.f64 (.f64 x x) 2 -1))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(.f64 (fma.f64 (.f64 x x) 2 -1) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) 2 -1)) (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 2 -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1) (/.f64 1 (fma.f64 (*.f64 x x) 2 1)))
(.f64 (fma.f64 4 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x (.f64 2 x) 1)))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 x (*.f64 2 x) 1))
(.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1) (/.f64 1 (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 2 1))))
(.f64 (fma.f64 8 (pow.f64 (.f64 x x) 3) -1) (/.f64 1 (fma.f64 4 (pow.f64 x 4) (fma.f64 x (*.f64 2 x) 1))))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(.f64 (+.f64 (.f64 x (sqrt.f64 2)) 1) (-.f64 (*.f64 x (sqrt.f64 2)) 1))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 2 1) (+.f64 (.f64 4 (pow.f64 x 4)) -1)))
(.f64 (fma.f64 4 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x (.f64 2 x) 1)))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 x (*.f64 2 x) 1))
(/.f64 1 (/.f64 (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1)) (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1)))
(.f64 (fma.f64 8 (pow.f64 (.f64 x x) 3) -1) (/.f64 1 (fma.f64 4 (pow.f64 x 4) (fma.f64 x (*.f64 2 x) 1))))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(/.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1) (fma.f64 (.f64 x x) 2 1))
(.f64 (fma.f64 4 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x (.f64 2 x) 1)))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 x (*.f64 2 x) 1))
(/.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1) (-.f64 (.f64 x (*.f64 x 2)) -1))
(.f64 (fma.f64 4 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x (.f64 2 x) 1)))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 x (*.f64 2 x) 1))
(/.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1) (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1)))
(.f64 (fma.f64 8 (pow.f64 (.f64 x x) 3) -1) (/.f64 1 (fma.f64 4 (pow.f64 x 4) (fma.f64 x (*.f64 2 x) 1))))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(/.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1) (+.f64 (.f64 4 (pow.f64 x 4)) (-.f64 1 (.f64 (.f64 x (.f64 x 2)) -1))))
(.f64 (fma.f64 8 (pow.f64 (.f64 x x) 3) -1) (/.f64 1 (fma.f64 4 (pow.f64 x 4) (fma.f64 x (*.f64 2 x) 1))))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(/.f64 (neg.f64 (+.f64 (.f64 4 (pow.f64 x 4)) -1)) (neg.f64 (fma.f64 (.f64 x x) 2 1)))
(.f64 (fma.f64 4 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x (.f64 2 x) 1)))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 2 (*.f64 x x) 1))
(/.f64 (fma.f64 (pow.f64 x 4) -4 1) (fma.f64 x (*.f64 x -2) -1))
(/.f64 (fma.f64 4 (pow.f64 x 4) -1) (fma.f64 x (*.f64 2 x) 1))
(/.f64 (neg.f64 (+.f64 (.f64 8 (pow.f64 (.f64 x x) 3)) -1)) (neg.f64 (+.f64 (.f64 4 (pow.f64 x 4)) (fma.f64 (.f64 x x) 2 1))))
(.f64 (fma.f64 8 (pow.f64 (.f64 x x) 3) -1) (/.f64 1 (fma.f64 4 (pow.f64 x 4) (fma.f64 x (*.f64 2 x) 1))))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 4 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(/.f64 (fma.f64 8 (pow.f64 x 6) -1) (fma.f64 2 (*.f64 x x) (fma.f64 4 (pow.f64 x 4) 1)))
(pow.f64 (fma.f64 (*.f64 x x) 2 -1) 1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 2)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 2 -1)) 3)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3) 1/3)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 2))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 2 -1) 3))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(expm1.f64 (log.f64 (.f64 x (.f64 x 2))))
(expm1.f64 (log.f64 (.f64 x (.f64 2 x))))
(expm1.f64 (log.f64 (.f64 2 (.f64 x x))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) 2 -1)) 1))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 2 -1)))
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 x (*.f64 x 2) -1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) 2 -1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 1 (.f64 x (.f64 x 2)) -1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 (.f64 x (sqrt.f64 2)) (.f64 x (sqrt.f64 2)) -1)
(fma.f64 x (*.f64 2 x) -1)
(fma.f64 2 (*.f64 x x) -1)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 2))) -1)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 2 x))) -1)
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4))) (cbrt.f64 (.f64 2 (*.f64 x x))) -1)

localize6.0ms (0.5%)

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

eval13.0ms (1.1%)

Compiler: Compiled 617 to 438 computations (29% saved)

prune7.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Error

Counts

54 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0%	(fma.f64 x (*.f64 x 2) -1)
✓	0.01%	(-.f64 (.f64 (.f64 x x) 2) 1)
▶	68.53%	(.f64 x (.f64 2 x))
	31.68%	-1

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize4.0ms (0.4%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0%	(fma.f64 x (*.f64 x 2) -1)
✓	0.01%	(-.f64 (.f64 (.f64 x x) 2) 1)
✓	68.53%	(.f64 x (.f64 2 x))
	31.68%	-1

Compiler

Compiled 23 to 17 computations (26.1% saved)

eval0.0ms (0%)

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

prune28.0ms (2.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0%	(fma.f64 x (*.f64 x 2) -1)
✓	0.01%	(-.f64 (.f64 (.f64 x x) 2) 1)
✓	68.53%	(.f64 x (.f64 2 x))
	31.68%	-1

Compiler

Compiled 23 to 17 computations (26.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0%	(fma.f64 x (*.f64 x 2) -1)
✓	0.01%	(-.f64 (.f64 (.f64 x x) 2) 1)
✓	68.53%	(.f64 x (.f64 2 x))
	31.68%	-1

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes13.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f64 x (*.f64 x 2) -1)

Calls

4 calls:

4.0ms	x
3.0ms	(-.f64 (.f64 (.f64 x x) 2) 1)
3.0ms	(.f64 (.f64 x x) 2)
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0%	1	`x`
0%	1	`(-.f64 (.f64 (.f64 x x) 2) 1)`
0%	1	`(.f64 (.f64 x x) 2)`
0%	1	`(*.f64 x x)`

Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes12.0ms (1%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
(.f64 x (.f64 2 x))
(-.f64 (.f64 (.f64 x x) 2) 1)

Outputs
(-.f64 (.f64 (.f64 x x) 2) 1)

Calls

4 calls:

3.0ms	x
3.0ms	(.f64 (.f64 x x) 2)
3.0ms	(*.f64 x x)
2.0ms	(-.f64 (.f64 (.f64 x x) 2) 1)

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`(-.f64 (.f64 (.f64 x x) 2) 1)`
0.01%	1	`(.f64 (.f64 x x) 2)`
0.01%	1	`(*.f64 x x)`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes9.0ms (0.8%)

Accuracy

Total -61.1b remaining (-3958.7%)

Threshold costs -61.1b (-3958.7%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
(.f64 x (.f64 2 x))

Outputs
(.f64 x (.f64 2 x))
-1
(.f64 x (.f64 2 x))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.41%	3	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch25.0ms (2.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.89852863218663e-9	0.8193190803729505
11.0ms	-11.567414722582063	-0.47887556038676665

Results

22.0ms

256×

body

256

valid

Compiler

Compiled 172 to 137 computations (20.3% saved)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`sub-neg`
2×	`1-exp`
2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	74
1	36	74
2	37	74

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (*.f64 x 2) -1)
(-.f64 (.f64 (.f64 x x) 2) 1)
(if (<=.f64 x -3242591731706757/4503599627370496) (.f64 x (.f64 2 x)) (if (<=.f64 x 3152519739159347/4503599627370496) -1 (.f64 x (.f64 2 x))))
-1

Outputs
(fma.f64 x (*.f64 x 2) -1)
(-.f64 (.f64 (.f64 x x) 2) 1)
(+.f64 (.f64 2 (.f64 x x)) -1)
(+.f64 -1 (.f64 2 (.f64 x x)))
(if (<=.f64 x -3242591731706757/4503599627370496) (.f64 x (.f64 2 x)) (if (<=.f64 x 3152519739159347/4503599627370496) -1 (.f64 x (.f64 2 x))))
(if (or (<=.f64 x -3242591731706757/4503599627370496) (not (<=.f64 x 3152519739159347/4503599627370496))) (.f64 x (.f64 x 2)) -1)
-1

Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness13.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
6×	`fma-def`
2×	`1-exp`
2×	`fma-neg`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	19	15
2	24	15
3	25	15

Stop Event

1×

saturated

Compiler

Compiled 28 to 20 computations (28.6% saved)

end60.0ms (5%)

Compiler: Compiled 30 to 22 computations (26.7% saved)

Details

analyze3.0ms (0.2%)

sample823.0ms (68%)

preprocess28.0ms (2.3%)

simplify12.0ms (1%)

eval1.0ms (0.1%)

prune3.0ms (0.2%)

localize6.0ms (0.5%)

series1.0ms (0.1%)

rewrite69.0ms (5.7%)

simplify65.0ms (5.4%)

localize6.0ms (0.5%)

eval13.0ms (1.1%)

prune7.0ms (0.6%)

localize4.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune28.0ms (2.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (1.1%)

regimes12.0ms (1%)

regimes9.0ms (0.8%)

bsearch25.0ms (2.1%)

simplify5.0ms (0.4%)

soundness13.0ms (1.1%)

end60.0ms (5%)

Profiling