Details

analyze3.0ms (0.3%)

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 7 to 5 computations (28.6% saved)

sample561.0ms (66.9%)

Results

549.0ms	8256×	body	256	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess15.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	9	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	9	5

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x x 1)
▶	0.0b	(+.f64 (*.f64 x x) 1)

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize5.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) 1)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

466×	`pow1_binary64`
456×	`add-sqr-sqrt_binary64`
446×	`*-un-lft-identity_binary64`
437×	`add-log-exp_binary64`
437×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	104	5
2	1268	5

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x -1)) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))) (+.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x -1)) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x -1) (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 1)))))

simplify48.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

498×	`associate-/r*_binary64`
300×	`fma-neg_binary64`
282×	`associate-l_binary64`
239×	`associate-r_binary64`
228×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	317
1	170	302
2	525	292
3	2772	292
4	7454	292

Stop Event

1×	node limit

Counts

42 → 36

Calls

Call 1

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

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

localize3.0ms (0.4%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

eval9.0ms (1%)

Compiler: Compiled 331 to 229 computations (30.8% saved)

prune5.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Error

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 x x 1)
✓	0.0b	(+.f64 (*.f64 x x) 1)
▶	42.4b	(*.f64 x x)
	19.7b	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize2.0ms (0.3%)

Compiler: Compiled 5 to 2 computations (60% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

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
✓	0b	(fma.f64 x x 1)
✓	0.0b	(+.f64 (*.f64 x x) 1)
✓	42.4b	(*.f64 x x)
	19.7b	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0.2%)

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
✓	0b	(fma.f64 x x 1)
✓	0.0b	(+.f64 (*.f64 x x) 1)
✓	42.4b	(*.f64 x x)
	19.7b	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

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

prune22.0ms (2.6%)

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
✓	0b	(fma.f64 x x 1)
✓	0.0b	(+.f64 (*.f64 x x) 1)
✓	42.4b	(*.f64 x x)
	19.7b	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f64 x x 1)

Calls

3 calls:

4.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(+.f64 (*.f64 x x) 1)

Results

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

regimes9.0ms (1.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(+.f64 (*.f64 x x) 1)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(+.f64 (*.f64 x x) 1)`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 22 to 12 computations (45.5% saved)

regimes14.0ms (1.7%)

Accuracy

Total -59.8b remaining (-5199.6%)

Threshold costs -59.8b (-5199.6%)

Counts

2 → 3

Calls

Call 1

Inputs
1
(*.f64 x x)

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

Calls

2 calls:

9.0ms	x
4.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.1b	3	`x`
1.1b	2	`(*.f64 x x)`

Compiler

Compiled 11 to 6 computations (45.5% saved)

bsearch49.0ms (5.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.307604418829556	566.6782347272017
37.0ms	-1.8863780798535401	-7.873512624079815e-5

Results

46.0ms

256×

body

256

valid

Compiler

Compiled 138 to 103 computations (25.4% saved)

simplify3.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	15	34

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x 1)
(+.f64 (*.f64 x x) 1)
(if (<=.f64 x -1) (.f64 x x) (if (<=.f64 x 1) 1 (.f64 x x)))
1

Outputs
(fma.f64 x x 1)
(+.f64 (*.f64 x x) 1)
(+.f64 1 (*.f64 x x))
(if (<=.f64 x -1) (.f64 x x) (if (<=.f64 x 1) 1 (.f64 x x)))
1

Compiler

Compiled 29 to 18 computations (37.9% saved)

soundness7.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	9	5

Stop Event

1×

saturated

Compiler

Compiled 11 to 7 computations (36.4% saved)

end27.0ms (3.2%)

Compiler: Compiled 26 to 14 computations (46.2% saved)

Details

analyze3.0ms (0.3%)

sample561.0ms (66.9%)

preprocess15.0ms (1.8%)

simplify6.0ms (0.7%)

eval0.0ms (0.1%)

prune1.0ms (0.1%)

localize5.0ms (0.6%)

series1.0ms (0.1%)

rewrite37.0ms (4.4%)

simplify48.0ms (5.8%)

localize3.0ms (0.4%)

eval9.0ms (1%)

prune5.0ms (0.6%)

localize2.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.2%)

eval0.0ms (0%)

prune22.0ms (2.6%)

regimes9.0ms (1.1%)

regimes9.0ms (1.1%)

regimes14.0ms (1.7%)

bsearch49.0ms (5.8%)

simplify3.0ms (0.4%)

soundness7.0ms (0.8%)

end27.0ms (3.2%)

Profiling