Details

analyze99.0ms (2.4%)

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
25%	25%	75%	0%	0%	0%	0%	3
33.3%	25%	50%	0%	0%	25%	0%	4
40%	25%	37.5%	0%	0%	37.5%	0%	5
44.4%	25%	31.2%	0%	0%	43.7%	0%	6
47.1%	25%	28.1%	0%	0%	46.9%	0%	7
48.5%	25%	26.5%	0%	0%	48.4%	0%	8
49.2%	25%	25.8%	0%	0%	49.2%	0%	9
49.6%	25%	25.4%	0%	0%	49.6%	0%	10
49.8%	25%	25.2%	0%	0%	49.8%	0%	11
49.9%	25%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.7s (65.4%)

Results

1.1s	4312×	body	2048	invalid
990.0ms	8256×	body	256	valid
337.0ms	2115×	body	1024	invalid
176.0ms	1101×	body	512	invalid
74.0ms	1127×	body	256	invalid
1.0ms	6×	body	4096	invalid

Bogosity

preprocess167.0ms (4.1%)

Algorithm

2×	egg-herbie

Rules

1668×	`fma-neg`
1246×	`unsub-neg`
1016×	`sub-neg`
834×	`distribute-neg-in`
720×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	81	23
5	157	23
6	366	23
7	764	23
8	2587	23
9	4531	23
10	5856	23
11	6543	23
12	6850	23
13	7040	23
14	7145	23
15	7465	23
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify162.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1668×	`fma-neg`
1246×	`unsub-neg`
1016×	`sub-neg`
834×	`distribute-neg-in`
720×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	81	23
5	157	23
6	366	23
7	764	23
8	2587	23
9	4531	23
10	5856	23
11	6543	23
12	6850	23
13	7040	23
14	7145	23
15	7465	23

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

55.1%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize41.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	58.2%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`fma-def`
826×	`log-prod`
778×	`prod-exp`
620×	`exp-prod`
576×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	198	32
2	2736	32

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1490×	`fma-def`
772×	`times-frac`
756×	`unswap-sqr`
528×	`distribute-rgt-in`
512×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3349
1	685	3205
2	1868	3045

Stop Event

1×	node limit

Counts

121 → 178

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1)) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (/.f64 (.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 -1))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(-.f64 (/.f64 1/2 x) (+.f64 x (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(sqrt.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)) x)

eval51.0ms (1.2%)

Compiler: Compiled 2674 to 1951 computations (27% saved)

prune28.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	4	179

Accurracy

100.0%

Counts

179 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x))
▶	99.2%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	55.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.9%	(log.f64 (+.f64 x x))

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize20.0ms (0.5%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize37.0ms (0.9%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`pow1`
1740×	`add-exp-log`
1738×	`log1p-expm1-u`
1738×	`expm1-log1p-u`
1708×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	182	15
2	2410	15

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1190×	`div-sub`
1114×	`fma-neg`
984×	`associate-r`
922×	`fma-def`
846×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1534
1	282	1318
2	1014	1234
3	5471	1218

Stop Event

1×	node limit

Counts

50 → 55

Calls

Call 1

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

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

localize61.0ms (1.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x 1))
✓	99.9%	(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)

Compiler

Compiled 40 to 29 computations (27.5% saved)

series3.0ms (0.1%)

Counts

2 → 10

Calls

6 calls:

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

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`log-prod`
832×	`prod-exp`
688×	`pow-prod-down`
544×	`pow-prod-up`
526×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	246	30
2	2933	30

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(sqrt.f64 (+.f64 x 1))

Outputs
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 0 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x x -1)) x))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 0 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-def`
618×	`+-commutative`
592×	`distribute-lft-in`
546×	`distribute-rgt-in`
452×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	1787
1	492	1675
2	1320	1637
3	4832	1565

Stop Event

1×	node limit

Counts

79 → 114

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 (+.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))) x))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))) x) (.f64 (-.f64 (+.f64 (.f64 -1/8 (sqrt.f64 -1)) (.f64 1/4 (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/8 (sqrt.f64 -1)) (.f64 1/4 (/.f64 1 (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 1/16 (sqrt.f64 -1)) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/16 (/.f64 1 (sqrt.f64 -1))))) (pow.f64 x 3)))))
x
x
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 0 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x x -1)) x))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 0 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 (+.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))) x))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 1 (fma.f64 1/2 (sqrt.f64 -1) (/.f64 1/2 (sqrt.f64 -1)))) x))
(fma.f64 (fma.f64 1/2 (+.f64 (sqrt.f64 -1) (/.f64 1 (sqrt.f64 -1))) 1) x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (fma.f64 (fma.f64 (sqrt.f64 -1) 1/2 (/.f64 1/2 (sqrt.f64 -1))) x x))
(fma.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) 1/2 1)) x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))) x) (.f64 (-.f64 (+.f64 (.f64 -1/8 (sqrt.f64 -1)) (.f64 1/4 (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (fma.f64 (+.f64 1 (fma.f64 1/2 (sqrt.f64 -1) (/.f64 1/2 (sqrt.f64 -1)))) x (.f64 (-.f64 (fma.f64 -1/8 (sqrt.f64 -1) (/.f64 1/4 (sqrt.f64 -1))) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3))) (.f64 x x))))
(+.f64 (sqrt.f64 -1) (fma.f64 (-.f64 (fma.f64 (sqrt.f64 -1) -1/8 (/.f64 1/4 (sqrt.f64 -1))) (/.f64 -1/8 (sqrt.f64 -1))) (.f64 x x) (.f64 (fma.f64 1/2 (+.f64 (sqrt.f64 -1) (/.f64 1 (sqrt.f64 -1))) 1) x)))
(+.f64 (sqrt.f64 -1) (fma.f64 (+.f64 (/.f64 1/4 (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) -1/8 (/.f64 1/8 (sqrt.f64 -1)))) (*.f64 x x) (fma.f64 (fma.f64 (sqrt.f64 -1) 1/2 (/.f64 1/2 (sqrt.f64 -1))) x x)))
(fma.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) 1/2 1)) x (fma.f64 (fma.f64 (sqrt.f64 -1) -1/8 (.f64 (/.f64 1 (sqrt.f64 -1)) 3/8)) (.f64 x x) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 (+.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/8 (sqrt.f64 -1)) (.f64 1/4 (/.f64 1 (sqrt.f64 -1)))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 1/16 (sqrt.f64 -1)) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/16 (/.f64 1 (sqrt.f64 -1))))) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 -1) (fma.f64 (+.f64 1 (fma.f64 1/2 (sqrt.f64 -1) (/.f64 1/2 (sqrt.f64 -1)))) x (fma.f64 (-.f64 (fma.f64 -1/8 (sqrt.f64 -1) (/.f64 1/4 (sqrt.f64 -1))) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3))) (.f64 x x) (.f64 (-.f64 (fma.f64 1/16 (sqrt.f64 -1) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 3)) (/.f64 1/16 (sqrt.f64 -1)))) (pow.f64 x 3)))))
(+.f64 (fma.f64 (fma.f64 1/2 (+.f64 (sqrt.f64 -1) (/.f64 1 (sqrt.f64 -1))) 1) x (sqrt.f64 -1)) (fma.f64 (-.f64 (fma.f64 (sqrt.f64 -1) -1/8 (/.f64 1/4 (sqrt.f64 -1))) (/.f64 -1/8 (sqrt.f64 -1))) (.f64 x x) (.f64 (-.f64 (fma.f64 (sqrt.f64 -1) 1/16 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 -1/16 (sqrt.f64 -1)) (/.f64 1/16 (sqrt.f64 -1)))) (pow.f64 x 3))))
(+.f64 (sqrt.f64 -1) (fma.f64 (+.f64 (fma.f64 (sqrt.f64 -1) 1/16 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1/16 (sqrt.f64 -1)) (/.f64 -1/16 (sqrt.f64 -1)))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1/4 (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) -1/8 (/.f64 1/8 (sqrt.f64 -1)))) (*.f64 x x) (fma.f64 (fma.f64 (sqrt.f64 -1) 1/2 (/.f64 1/2 (sqrt.f64 -1))) x x))))
(+.f64 (fma.f64 x (.f64 x (fma.f64 (sqrt.f64 -1) -1/8 (.f64 (/.f64 1 (sqrt.f64 -1)) 3/8))) (fma.f64 (fma.f64 (sqrt.f64 -1) 1/2 (/.f64 1/2 (sqrt.f64 -1))) x x)) (fma.f64 (fma.f64 (sqrt.f64 -1) 1/16 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) (pow.f64 x 3) (sqrt.f64 -1)))
x
x
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/2 x 1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 0 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x x -1)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (fma.f64 x (neg.f64 x) (fma.f64 x x -1)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) 1))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 0 (hypot.f64 1 (sqrt.f64 x)))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) 1/12) 6)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) 1/12) 6)
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) 1/12) 6)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(fabs.f64 (hypot.f64 1 (sqrt.f64 x)))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1/2) 1))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 x)) 1/3))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 x)) 2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))

eval60.0ms (1.5%)

Compiler: Compiled 2823 to 2161 computations (23.5% saved)

prune20.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	168	5	173

Accurracy

100.0%

Counts

173 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x))
✓	99.2%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	55.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.9%	(log.f64 (+.f64 x x))
▶	31.3%	(log.f64 x)

Compiler

Compiled 39 to 28 computations (28.2% saved)

localize17.0ms (0.4%)

Compiler: Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x))
✓	99.2%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	55.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.9%	(log.f64 (+.f64 x x))
✓	31.3%	(log.f64 x)

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes14.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

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

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes11.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.2%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -43.2b remaining (-5903.6%)

Threshold costs -43.2b (-5903.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 x)
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	72
1	29	72
2	34	72
3	38	72
4	41	72
5	42	72

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

soundness173.0ms (4.2%)

Rules

1490×	`fma-def`
930×	`fma-def`
826×	`log-prod`
778×	`prod-exp`
772×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	198	32
2	2736	32
0	288	3349
1	685	3205
2	1868	3045

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 115 to 85 computations (26.1% saved)

end40.0ms (1%)

Compiler: Compiled 72 to 50 computations (30.6% saved)

Details

analyze99.0ms (2.4%)

sample2.7s (65.4%)

preprocess167.0ms (4.1%)

simplify162.0ms (4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize41.0ms (1%)

series2.0ms (0%)

rewrite76.0ms (1.9%)

simplify63.0ms (1.5%)

eval51.0ms (1.2%)

prune28.0ms (0.7%)

localize20.0ms (0.5%)

localize37.0ms (0.9%)

series1.0ms (0%)

rewrite59.0ms (1.4%)

simplify61.0ms (1.5%)

localize61.0ms (1.5%)

series3.0ms (0.1%)

rewrite71.0ms (1.7%)

simplify67.0ms (1.6%)

eval60.0ms (1.5%)

prune20.0ms (0.5%)

localize17.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes14.0ms (0.3%)

regimes11.0ms (0.3%)

regimes3.0ms (0.1%)

simplify7.0ms (0.2%)

soundness173.0ms (4.2%)

end40.0ms (1%)

Profiling