Metrics for Hyperbolic arc-(co)secant

analyze3.0ms (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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample964.0ms (34.3%)

Results

952.0ms	8256×	body	256	valid
2.0ms	25×	body	256	invalid

Bogosity

preprocess179.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1654×	`fma-def`
1242×	`sub-neg`
1138×	`distribute-lft-out`
842×	`associate-+r+`
722×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	39	82
2	61	82
3	119	82
4	174	82
5	256	82
6	382	82
7	656	82
8	1268	82
9	2148	82
10	4774	82
11	6496	82
12	7274	82
13	7572	82
14	7628	82
15	7660	82
16	7937	82

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify176.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1468×	`fma-def`
1260×	`distribute-lft-out`
1098×	`unsub-neg`
798×	`distribute-rgt-in`
750×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	27	39
3	39	39
4	56	39
5	84	39
6	131	39
7	347	39
8	736	39
9	1570	39
10	2942	39
11	4651	39
12	5594	39
13	5912	39
14	6198	39
15	6367	39
16	6444	39
17	6711	39
18	7709	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

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%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize63.0ms (2.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite74.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`log-prod`
848×	`fma-def`
812×	`pow-prod-down`
616×	`pow-exp`
572×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	246	35
2	3586	35

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

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

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1394×	`times-frac`
1044×	`fma-def`
946×	`associate-/r*`
662×	`associate-/l*`
520×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	5009
1	722	4613
2	2112	4305

Stop Event

1×	node limit

Counts

101 → 161

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (/.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(.f64 1 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))
(.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 1)
(.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2)) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x))
(*.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (pow.f64 x -2))
(.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x)))))
(.f64 (-.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (.f64 x x))) (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (*.f64 x x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (*.f64 x (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (fma.f64 -1 x (.f64 x (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (fma.f64 -1 x (.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (pow.f64 (neg.f64 x) 2))
(/.f64 (+.f64 x (.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (fma.f64 -1 x (.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -1)) (.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (neg.f64 x) (.f64 x -1)) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x (.f64 (neg.f64 x) 1)) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)) (pow.f64 x -2)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) 1) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x) 2)
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (.f64 x x))) (fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) (pow.f64 x -3) (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) (-.f64 (pow.f64 x -2) (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1))
(exp.f64 (.f64 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) x)) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 1 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (/.f64 1 x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x) 1 (/.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) x) x)))
(+.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
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(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (cbrt.f64 (.f64 (pow.f64 x -2) (neg.f64 (fma.f64 x x -1)))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (cbrt.f64 (*.f64 (fma.f64 x (neg.f64 x) 1) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (cbrt.f64 (.f64 (pow.f64 x -2) (neg.f64 (fma.f64 x x -1)))) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (*.f64 (/.f64 1 x) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (/.f64 1 x))
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/2) x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 (/.f64 1 (cbrt.f64 x)) 3))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 (/.f64 1 x) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 (/.f64 1 x) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/6) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) x) (/.f64 1 x))
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (*.f64 (/.f64 1 x) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (/.f64 1 x))
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/2) x))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)

eval63.0ms (2.2%)

Compiler: Compiled 3156 to 2095 computations (33.6% saved)

prune22.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	157	4	161
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	4	162

Accurracy

100.0%

Counts

162 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.6%	(log.f64 (/.f64 2 x))
▶	99.7%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	52.3%	(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.6%	(log.f64 (/.f64 2 x))
▶	99.7%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	52.3%	(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))

Compiler

Compiled 86 to 64 computations (25.6% saved)

localize153.0ms (5.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
✓	54.0%	(.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))

Compiler

Compiled 146 to 87 computations (40.4% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`log-prod`
1236×	`prod-diff`
660×	`fma-def`
548×	`expm1-udef`
544×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	323	66
2	4228	66

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs
(+.f64 0 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(+.f64 (.f64 (pow.f64 x -2) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (pow.f64 x -2) x))
(+.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (pow.f64 x -2)) (.f64 x (pow.f64 x -2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) 1)
(pow.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 x)) 2)
(sqrt.f64 (.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) 2) (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3) (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(exp.f64 (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(fma.f64 (pow.f64 x -2) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 (pow.f64 x -2) x))
(fma.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (pow.f64 x -2) (*.f64 x (pow.f64 x -2)))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 1 x)))
(.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 (neg.f64 x)))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 (.f64 x x))) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(exp.f64 (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1176×	`fma-def`
1062×	`log-prod`
672×	`distribute-lft-in`
640×	`distribute-rgt-in`
590×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3438
1	468	2904
2	1650	2732
3	6713	2732

Stop Event

1×	node limit

Counts

82 → 106

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 0 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(+.f64 (.f64 (pow.f64 x -2) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (pow.f64 x -2) x))
(+.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (pow.f64 x -2)) (.f64 x (pow.f64 x -2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) 1)
(pow.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 x)) 2)
(sqrt.f64 (.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) 2) (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 3))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3) (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(exp.f64 (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(fma.f64 (pow.f64 x -2) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (*.f64 (pow.f64 x -2) x))
(fma.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (pow.f64 x -2) (*.f64 x (pow.f64 x -2)))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 1 x)))
(.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 (neg.f64 x)))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 (.f64 x x))) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(exp.f64 (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1 x) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1 x) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(-.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1))))
(+.f64 0 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(+.f64 (.f64 (pow.f64 x -2) (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (pow.f64 x -2) x))
(.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(+.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (pow.f64 x -2)) (.f64 x (pow.f64 x -2)))
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eval46.0ms (1.6%)

Compiler: Compiled 1921 to 1365 computations (28.9% saved)

prune14.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	106	4	110

Accurracy

100.0%

Counts

110 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.6%	(log.f64 (/.f64 2 x))
✓	99.7%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	100.0%	(log.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.6%	(log.f64 (/.f64 2 x))
✓	99.7%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 84 to 66 computations (21.4% saved)

localize77.0ms (2.7%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 62 to 38 computations (38.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`log-prod`
1080×	`prod-diff`
672×	`pow-prod-down`
598×	`pow-exp`
576×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	261	29
2	3407	29

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)

Outputs
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) -2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (sqrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (sqrt.f64 x)))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) -1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (/.f64 1 (neg.f64 x)) (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1))
(/.f64 (.f64 x x) (.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(/.f64 -1 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))))
(/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 x))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (.f64 x (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) x)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(exp.f64 (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) -1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1/2))
(exp.f64 (.f64 (.f64 -1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

simplify88.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

670×	`exp-prod`
634×	`fabs-mul`
628×	`times-frac`
624×	`associate-/r*`
604×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	2545
1	476	2437
2	1229	2383
3	5309	2377

Stop Event

1×	node limit

Counts

65 → 118

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) -2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (sqrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (sqrt.f64 x)))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) -1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2))) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (/.f64 1 (neg.f64 x)) (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1))
(/.f64 (.f64 x x) (.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(/.f64 -1 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))))
(/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 x))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (.f64 x (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) x)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(exp.f64 (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) -1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1/2))
(exp.f64 (.f64 (.f64 -1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
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(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(exp.f64 (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) -1))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1) 1))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1/3))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(exp.f64 (.f64 (.f64 2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1/2))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(exp.f64 (.f64 (.f64 -1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1/2) 2))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)

eval41.0ms (1.5%)

Compiler: Compiled 2143 to 1552 computations (27.6% saved)

prune17.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	118	4	122

Accurracy

100.0%

Counts

122 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.6%	(log.f64 (/.f64 2 x))
▶	100.0%	(log.f64 (/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	99.7%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.6%	(log.f64 (/.f64 2 x))
▶	100.0%	(log.f64 (/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	99.7%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 84 to 66 computations (21.4% saved)

localize63.0ms (2.2%)

Compiler: Compiled 61 to 37 computations (39.3% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.6%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	99.7%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 121 to 87 computations (28.1% saved)

regimes17.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
(log.f64 (.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))

Outputs
(log.f64 (/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))

Calls

3 calls:

7.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
3.0ms	x

Results

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

Compiler

Compiled 108 to 74 computations (31.5% saved)

regimes11.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))

Calls

3 calls:

4.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	x

Results

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

Compiler

Compiled 68 to 48 computations (29.4% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))

Outputs
(log.f64 (/.f64 2 x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	112
1	34	112
2	41	112
3	45	112
4	47	112

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

soundness367.0ms (13%)

Rules

1436×	`log-prod`
1394×	`times-frac`
1236×	`prod-diff`
1138×	`log-prod`
1114×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	246	35
2	3586	35
0	273	5009
1	722	4613
2	2112	4305
0	15	66
1	323	66
2	4228	66
0	12	35
1	261	29
2	3407	29

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 414 to 300 computations (27.5% saved)

end0.0ms (0%)

preprocess46.0ms (1.6%)

Compiler: Compiled 106 to 78 computations (26.4% saved)

analyze3.0ms (0.1%)

sample964.0ms (34.3%)

preprocess179.0ms (6.3%)

simplify176.0ms (6.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize63.0ms (2.2%)

series1.0ms (0%)

rewrite74.0ms (2.6%)

simplify71.0ms (2.5%)

eval63.0ms (2.2%)

prune22.0ms (0.8%)

localize153.0ms (5.4%)

series1.0ms (0.1%)

rewrite85.0ms (3%)

simplify78.0ms (2.8%)

eval46.0ms (1.6%)

prune14.0ms (0.5%)

localize77.0ms (2.7%)

series1.0ms (0%)

rewrite73.0ms (2.6%)

simplify88.0ms (3.1%)

eval41.0ms (1.5%)

prune17.0ms (0.6%)

localize63.0ms (2.2%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes17.0ms (0.6%)

regimes11.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify6.0ms (0.2%)

soundness367.0ms (13%)

end0.0ms (0%)

preprocess46.0ms (1.6%)

Profiling