Metrics for Prelude:atanh from fay-base-0.20.0.1

analyze1.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample646.0ms (42.8%)

Results

634.0ms

8256×

body

256

valid

Bogosity

preprocess54.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1224×	`fma-def`
496×	`div-sub`
340×	`times-frac`
274×	`fma-neg`
262×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	22	38
2	39	38
3	85	38
4	185	38
5	587	38
6	1736	38
7	2419	38
8	2774	38

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify62.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1302×	`fma-def`
484×	`div-sub`
296×	`fma-neg`
286×	`distribute-lft-in`
274×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	17	19
3	24	19
4	32	19
5	42	19
6	55	19
7	72	19
8	91	19
9	125	19
10	161	19
11	203	19
12	281	19
13	404	19
14	792	19
15	1711	19
16	2349	19
17	2905	19
18	3078	19
19	3214	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

localize25.0ms (1.7%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`pow1`
1652×	`log1p-expm1-u`
1652×	`expm1-log1p-u`
1648×	`add-exp-log`
1618×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	157	19
2	2219	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify62.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-def`
596×	`associate-+r+`
548×	`associate-+l+`
490×	`fma-neg`
436×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1353
1	326	1151
2	1092	967
3	4259	967

Stop Event

1×	node limit

Counts

45 → 67

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 1 (*.f64 2 (fma.f64 x x x)))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (+.f64 1 (*.f64 2 (fma.f64 x x x))))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(.f64 (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))) (+.f64 x 1))
(/.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (.f64 x x)))
(.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 (.f64 x x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 6) (-.f64 1 (*.f64 x x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 6) (neg.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))

eval18.0ms (1.2%)

Compiler: Compiled 822 to 619 computations (24.7% saved)

prune10.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Accurracy

100.0%

Counts

68 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	60.3%	(+.f64 (*.f64 2 x) 1)
▶	41.6%	(+.f64 -1 (/.f64 -2 x))
	59.3%	1
	39.5%	-1
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	60.3%	(+.f64 (*.f64 2 x) 1)
▶	41.6%	(+.f64 -1 (/.f64 -2 x))
	59.3%	1
	39.5%	-1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize32.0ms (2.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`pow1`
1428×	`add-exp-log`
1428×	`log1p-expm1-u`
1428×	`expm1-log1p-u`
1404×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	156	13
2	1913	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

simplify51.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-neg`
700×	`times-frac`
594×	`associate-r`
572×	`log-prod`
558×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	1046
1	205	896
2	657	896
3	4060	896

Stop Event

1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

eval11.0ms (0.7%)

Compiler: Compiled 513 to 407 computations (20.7% saved)

prune8.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	2	2
Done	0	1	1
Total	44	5	49

Accurracy

100.0%

Counts

49 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	60.3%	(+.f64 (*.f64 2 x) 1)
✓	41.6%	(+.f64 -1 (/.f64 -2 x))
	59.3%	1
	39.5%	-1
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	60.3%	(+.f64 (*.f64 2 x) 1)
✓	41.6%	(+.f64 -1 (/.f64 -2 x))
	59.3%	1
	39.5%	-1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	60.3%	(+.f64 (*.f64 2 x) 1)
✓	41.6%	(+.f64 -1 (/.f64 -2 x))
	59.3%	1
	39.5%	-1
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	60.3%	(+.f64 (*.f64 2 x) 1)
✓	41.6%	(+.f64 -1 (/.f64 -2 x))
	59.3%	1
	39.5%	-1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	60.3%	(+.f64 (*.f64 2 x) 1)
✓	41.6%	(+.f64 -1 (/.f64 -2 x))
	59.3%	1
	39.5%	-1

Compiler

Compiled 44 to 36 computations (18.2% saved)

regimes15.0ms (1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
2.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes11.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes11.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.7%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.2%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
39.5%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch49.0ms (3.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	0.00442206655758056	40453.33689197735
15.0ms	-0.6909288325248437	-7.760886869057919e-11

Results

45.0ms

304×

body

256

valid

Compiler

Compiled 278 to 237 computations (14.7% saved)

bsearch125.0ms (8.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
115.0ms	0.00442206655758056	40453.33689197735
10.0ms	-52.04384639209375	-0.6909288325248437

Results

122.0ms

256×

body

256

valid

Compiler

Compiled 172 to 153 computations (11% saved)

bsearch24.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.00442206655758056	40453.33689197735
10.0ms	-52.04384639209375	-0.6909288325248437

Results

21.0ms

256×

body

256

valid

Compiler

Compiled 108 to 105 computations (2.8% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	44	131
2	47	131
3	49	131
4	50	131

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1080863910568919/2251799813685248) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) (+.f64 1 (*.f64 x 2)))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) 1)
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Compiler

Compiled 58 to 47 computations (19% saved)

soundness84.0ms (5.6%)

Rules

662×	`fma-def`
596×	`associate-+r+`
548×	`associate-+l+`
490×	`fma-neg`
436×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1353
1	326	1151
2	1092	967
3	4259	967

Stop Event

1×	node limit

Compiler

Compiled 51 to 44 computations (13.7% saved)

end0.0ms (0%)

preprocess68.0ms (4.5%)

Compiler: Compiled 124 to 98 computations (21% saved)

analyze1.0ms (0.1%)

sample646.0ms (42.8%)

preprocess54.0ms (3.6%)

simplify62.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize25.0ms (1.7%)

series1.0ms (0%)

rewrite56.0ms (3.7%)

simplify62.0ms (4.1%)

eval18.0ms (1.2%)

prune10.0ms (0.7%)

localize32.0ms (2.1%)

series1.0ms (0.1%)

rewrite55.0ms (3.7%)

simplify51.0ms (3.4%)

eval11.0ms (0.7%)

prune8.0ms (0.6%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes15.0ms (1%)

regimes11.0ms (0.7%)

regimes11.0ms (0.7%)

regimes10.0ms (0.7%)

regimes3.0ms (0.2%)

bsearch49.0ms (3.2%)

bsearch125.0ms (8.3%)

bsearch24.0ms (1.6%)

simplify7.0ms (0.5%)

soundness84.0ms (5.6%)

end0.0ms (0%)

preprocess68.0ms (4.5%)

Profiling