Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, B

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample658.0ms (46.4%)

Results

487.0ms	6226×	body	256	valid
159.0ms	2030×	body	256	infinite

Bogosity

preprocess68.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-def`
132×	`associate-r`
100×	`distribute-lft-in`
82×	`distribute-rgt-in`
72×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	33	42
2	77	34
3	249	30
4	580	30
5	866	30
6	886	30

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify19.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

524×	`fma-def`
62×	`distribute-lft-in`
52×	`fma-neg`
46×	`unsub-neg`
46×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))
▶	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize82.0ms (5.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 20 to 15 computations (25% saved)

series44.0ms (3.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
43.0ms	x	@	inf	(.f64 x (-.f64 1 (.f64 x 1/2)))
0.0ms	x	@	-inf	(.f64 x (-.f64 1 (.f64 x 1/2)))
0.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 x 1/2)))

rewrite83.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`pow1`
1506×	`add-exp-log`
1506×	`log1p-expm1-u`
1506×	`expm1-log1p-u`
1476×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	167	19
2	2039	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

simplify71.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1884×	`fma-def`
1768×	`times-frac`
660×	`associate-r`
624×	`associate-l`
428×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	605
1	168	577
2	507	553
3	2741	525
4	5501	525

Stop Event

1×	node limit

Counts

31 → 34

Calls

Call 1

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

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

eval8.0ms (0.6%)

Compiler: Compiled 377 to 274 computations (27.3% saved)

prune7.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Accurracy

100.0%

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
▶	51.4%	(.f64 x (.f64 x -1/2))
	51.0%	x
▶	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
▶	51.4%	(.f64 x (.f64 x -1/2))
	51.0%	x

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize49.0ms (3.5%)

Compiler: Compiled 29 to 18 computations (37.9% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	51.4%	(.f64 x (.f64 x -1/2))
	51.0%	x
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	51.4%	(.f64 x (.f64 x -1/2))
	51.0%	x

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	51.4%	(.f64 x (.f64 x -1/2))
	51.0%	x
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	51.4%	(.f64 x (.f64 x -1/2))
	51.0%	x

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	51.4%	(.f64 x (.f64 x -1/2))
	51.0%	x

Compiler

Compiled 37 to 23 computations (37.8% saved)

regimes8.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 x (-.f64 1 (.f64 x 1/2)))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes7.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(.f64 x (-.f64 1 (.f64 x 1/2)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 x (-.f64 1 (.f64 x 1/2)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes44.0ms (3.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

44.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
51.0%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch27.0ms (1.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.957944894267579e-8	5.54487654101967
14.0ms	-29.507878157653117	-3.997388019499835e-7

Results

23.0ms

288×

body

256

valid

Compiler

Compiled 192 to 135 computations (29.7% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
10×	`+-commutative`
8×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	41	78
2	52	78
3	58	78
4	62	78
5	63	78

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 x -1/2) x))
(.f64 x (-.f64 1 (.f64 x 1/2)))
(if (<=.f64 x -2) (.f64 x (.f64 x -1/2)) (if (<=.f64 x 2) x (.f64 x (.f64 x -1/2))))
x

Outputs
(+.f64 x (.f64 (.f64 x -1/2) x))
(+.f64 x (.f64 x (.f64 x -1/2)))
(.f64 x (-.f64 1 (.f64 x 1/2)))
(if (<=.f64 x -2) (.f64 x (.f64 x -1/2)) (if (<=.f64 x 2) x (.f64 x (.f64 x -1/2))))
(if (or (<=.f64 x -2) (not (<=.f64 x 2))) (.f64 x (.f64 x -1/2)) x)
x

Compiler

Compiled 34 to 23 computations (32.4% saved)

soundness183.0ms (12.9%)

Rules

1884×	`fma-def`
1768×	`times-frac`
1624×	`pow1`
1506×	`add-exp-log`
1506×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	167	19
2	2039	19
0	67	605
1	168	577
2	507	553
3	2741	525
4	5501	525

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 70 to 48 computations (31.4% saved)

end0.0ms (0%)

preprocess42.0ms (2.9%)

Compiler: Compiled 78 to 52 computations (33.3% saved)

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15

analyze0.0ms (0%)

sample658.0ms (46.4%)

preprocess68.0ms (4.8%)

simplify19.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize82.0ms (5.8%)

series44.0ms (3.1%)

rewrite83.0ms (5.9%)

simplify71.0ms (5%)

eval8.0ms (0.6%)

prune7.0ms (0.5%)

localize49.0ms (3.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes8.0ms (0.6%)

regimes7.0ms (0.5%)

regimes44.0ms (3.1%)

regimes3.0ms (0.2%)

bsearch27.0ms (1.9%)

simplify6.0ms (0.4%)

soundness183.0ms (12.9%)

end0.0ms (0%)

preprocess42.0ms (2.9%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15