Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.7s (36.8%)

Results

809.0ms	2277×	body	1024	valid
472.0ms	4475×	body	128	valid
272.0ms	1030×	body	512	valid
89.0ms	474×	body	256	valid

Compiler

Compiled 26 to 22 computations (15.4% saved)

preprocess19.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (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

Error

20.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	20.3b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 47 to 38 computations (19.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.2b	(/.f64 1 (sqrt.f64 x))
✓	2.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

series25.0ms (0.6%)

Counts

3 → 4

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 x))
5.0ms	x	@	inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
3.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	x	@	inf	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
2.0ms	x	@	-inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`prod-diff_binary64`
170×	`log1p-udef_binary64`
169×	`expm1-udef_binary64`
106×	`add-sqr-sqrt_binary64`
102×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	207	24
2	2965	24

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

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

Outputs

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log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))))))

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

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

simplify27.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

695×	`fma-neg_binary64`
558×	`cancel-sign-sub-inv_binary64`
474×	`distribute-rgt-neg-in_binary64`
284×	`unswap-sqr_binary64`
180×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	52	43
2	131	39
3	434	31
4	1478	31
5	3800	31

Stop Event

1×	node limit

Counts

146 → 149

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 1/2 x))
(-.f64 (+.f64 1 (.f64 3/8 (pow.f64 x 2))) (.f64 1/2 x))
(-.f64 (+.f64 1 (.f64 3/8 (pow.f64 x 2))) (+.f64 (.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))

Outputs
1
(-.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(-.f64 (+.f64 1 (.f64 3/8 (pow.f64 x 2))) (.f64 1/2 x))
(+.f64 1 (-.f64 (.f64 3/8 (.f64 x x)) (*.f64 1/2 x)))
(-.f64 (fma.f64 3/8 (.f64 x x) 1) (.f64 1/2 x))
(fma.f64 x (*.f64 x 3/8) (fma.f64 x -1/2 1))
(fma.f64 x (fma.f64 x 3/8 -1/2) 1)
(-.f64 (+.f64 1 (.f64 3/8 (pow.f64 x 2))) (+.f64 (.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
(+.f64 1 (-.f64 (.f64 3/8 (.f64 x x)) (fma.f64 1/2 x (*.f64 5/16 (pow.f64 x 3)))))
(-.f64 (fma.f64 3/8 (.f64 x x) 1) (fma.f64 1/2 x (.f64 5/16 (pow.f64 x 3))))
(+.f64 (fma.f64 x (.f64 x 3/8) (fma.f64 x -1/2 1)) (.f64 (pow.f64 x 3) -5/16))
(fma.f64 (pow.f64 x 3) -5/16 (fma.f64 x (fma.f64 x 3/8 -1/2) 1))

prune212.0ms (4.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	131	18	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	18	150

Error

19.7b

Counts

150 → 18

Alt Table

Status	Error	Program
	22.3b	(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
	30.4b	(*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))))))
	30.2b	(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	30.1b	(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
	20.7b	(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
	30.6b	(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)) (+.f64 (/.f64 1 x) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))))
	30.2b	(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
▶	20.4b	(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
	30.0b	(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
	30.7b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	29.6b	(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
	30.3b	(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
	31.8b	(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
	30.6b	(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
	30.7b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	30.0b	(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
	30.1b	(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
	29.8b	(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))

Compiler

Compiled 4547 to 3687 computations (18.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓	0.1b	(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
✓	0.2b	(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
✓	2.1b	(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))

series26.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
3.0ms	x	@	-inf	(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
3.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
2.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
2.0ms	x	@	-inf	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

rewrite76.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

259×	`log1p-udef_binary64`
166×	`add-sqr-sqrt_binary64`
161×	`pow1_binary64`
159×	`*-un-lft-identity_binary64`
157×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	85
1	319	55
2	4878	55

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (.f64 (/.f64 -1 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (fma.f64 (/.f64 -1 (+.f64 1 x)) 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x -3) (pow.f64 (+.f64 1 x) -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (+.f64 x (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 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simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-def_binary64`
342×	`associate--l+_binary64`
270×	`associate-/r*_binary64`
236×	`cancel-sign-sub-inv_binary64`
165×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	1749
1	566	1682
2	1730	1410

Stop Event

1×	node limit

Counts

222 → 259

Calls

Call 1

Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 1 (pow.f64 x -1/2)) x)
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x)))
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x))) (.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x)))) (*.f64 1/8 (pow.f64 x 3)))
(*.f64 2 (sqrt.f64 (pow.f64 x 3)))
(+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (.f64 3/2 (sqrt.f64 x)))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (.f64 3/2 (sqrt.f64 x))) (*.f64 1/8 (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/2 (sqrt.f64 x)))) (.f64 1/8 (sqrt.f64 (/.f64 1 x))))
(.f64 2 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/8 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 1/8 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (/.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/4 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (+.f64 (/.f64 x (+.f64 1 (pow.f64 x -1/2))) (.f64 19/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))))))))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (.f64 5/8 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 7/8 (/.f64 x (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x -1/2)))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
(+.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 1 (pow.f64 x -1/2)) (*.f64 1/2 x))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (.f64 3/8 (pow.f64 x 2)))) (.f64 1/2 x))
(-.f64 (+.f64 1 (+.f64 (pow.f64 x -1/2) (.f64 3/8 (pow.f64 x 2)))) (+.f64 (.f64 1/2 x) (*.f64 5/16 (pow.f64 x 3))))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(-.f64 (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(-.f64 (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 5/16 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))

Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 (/.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 x (fma.f64 x x 1)))
(+.f64 x (-.f64 (/.f64 1 x) (fma.f64 x x 1)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(*.f64 (+.f64 1 (pow.f64 x -1/2)) x)
(*.f64 x (+.f64 1 (pow.f64 x -1/2)))
(+.f64 x (sqrt.f64 x))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x)))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 x x) (+.f64 x (sqrt.f64 x))))
(+.f64 (fabs.f64 (pow.f64 x 3/2)) (fma.f64 (*.f64 x x) 1/2 (+.f64 x (sqrt.f64 x))))
(+.f64 (pow.f64 x 3/2) (+.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x 1/2) x)))
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x))) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x (sqrt.f64 x))) (.f64 (pow.f64 x 3) 1/8)))
(+.f64 (fabs.f64 (pow.f64 x 3/2)) (+.f64 (fma.f64 (.f64 x x) 1/2 (+.f64 x (sqrt.f64 x))) (.f64 (pow.f64 x 3) -1/8)))
(fma.f64 (pow.f64 x 3) -1/8 (+.f64 (pow.f64 x 3/2) (+.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x)))) (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (-.f64 (fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (+.f64 x (sqrt.f64 x)))) (.f64 (pow.f64 x 3) 1/8)))
(+.f64 (fma.f64 (pow.f64 x 4) 1/16 (fma.f64 (.f64 x x) 1/2 (+.f64 x (sqrt.f64 x)))) (-.f64 (fabs.f64 (pow.f64 x 3/2)) (.f64 (pow.f64 x 3) 1/8)))
(fma.f64 (pow.f64 x 3) -1/8 (+.f64 (pow.f64 x 3/2) (fma.f64 (pow.f64 x 4) 1/16 (+.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x 1/2) x)))))
(*.f64 2 (sqrt.f64 (pow.f64 x 3)))
(*.f64 2 (fabs.f64 (pow.f64 x 3/2)))
(*.f64 2 (pow.f64 x 3/2))
(+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (.f64 3/2 (sqrt.f64 x)))
(fma.f64 2 (sqrt.f64 (pow.f64 x 3)) (*.f64 (sqrt.f64 x) 3/2))
(fma.f64 2 (fabs.f64 (pow.f64 x 3/2)) (*.f64 (sqrt.f64 x) 3/2))
(fma.f64 2 (pow.f64 x 3/2) (*.f64 (sqrt.f64 x) 3/2))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (.f64 3/2 (sqrt.f64 x))) (*.f64 1/8 (sqrt.f64 (/.f64 1 x))))
(+.f64 (fma.f64 2 (sqrt.f64 (pow.f64 x 3)) (.f64 (sqrt.f64 x) 3/2)) (.f64 -1/8 (sqrt.f64 (/.f64 1 x))))
(fma.f64 2 (fabs.f64 (pow.f64 x 3/2)) (fma.f64 (sqrt.f64 x) 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))
(fma.f64 2 (pow.f64 x 3/2) (fma.f64 (sqrt.f64 x) 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/2 (sqrt.f64 x)))) (.f64 1/8 (sqrt.f64 (/.f64 1 x))))
(+.f64 (fma.f64 2 (sqrt.f64 (pow.f64 x 3)) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 x) 3/2))) (.f64 -1/8 (sqrt.f64 (/.f64 1 x))))
(fma.f64 2 (fabs.f64 (pow.f64 x 3/2)) (+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 x) 3/2)) (.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))
(fma.f64 2 (pow.f64 x 3/2) (fma.f64 (sqrt.f64 x) 3/2 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8))))
(.f64 2 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(.f64 2 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (*.f64 x x) 2))
(.f64 2 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))
(+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))
(fma.f64 3/2 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x (.f64 3/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (+.f64 (.f64 (.f64 2 x) x) (.f64 3/2 x)))
(-.f64 (+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/8 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (fma.f64 3/2 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (*.f64 -1/8 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(fma.f64 (.f64 3/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x (fma.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/8)))
(fma.f64 x (.f64 3/2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))) (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (-.f64 (.f64 (.f64 2 x) x) 1/8)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 1/8 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
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(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (/.f64 1 x))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 2 (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16))))
(.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))))
(-.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) x) (*.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))
(-.f64 (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) x) (-.f64 (/.f64 3/8 x) 1/2)))
(-.f64 (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 5/16 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x)))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)))))
(+.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))) (*.f64 -5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3))))
(+.f64 (fma.f64 2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) x) (-.f64 (/.f64 3/8 x) 1/2))) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (pow.f64 x 3)) -5/16))

prune253.0ms (5.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	253	6	259
Fresh	17	0	17
Picked	1	0	1
Done	0	0	0
Total	271	6	277

Error

0.4b

Counts

277 → 6

Alt Table

Status	Error	Program
	6.1b	(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 x (*.f64 x x)))))
	43.3b	(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
	36.3b	(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (/.f64 1 x) x)))
	31.0b	(/.f64 1 (fma.f64 2 (pow.f64 x 3/2) (fma.f64 (sqrt.f64 x) 3/2 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))))
▶	6.0b	(/.f64 1 (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x))))
	20.1b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

Compiler

Compiled 7239 to 5856 computations (19.1% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
	0.0b	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓	0.6b	(/.f64 1 (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x))))
✓	5.5b	(.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x)))

series26.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(/.f64 1 (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x))))
3.0ms	x	@	-inf	(/.f64 1 (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x))))
2.0ms	x	@	-inf	(.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x)))
2.0ms	x	@	inf	(/.f64 1 (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x))))
2.0ms	x	@	0	(.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x)))

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

170×	`add-sqr-sqrt_binary64`
166×	`pow1_binary64`
164×	`*-un-lft-identity_binary64`
161×	`add-log-exp_binary64`
160×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	381	48

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

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

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

(+.f64 x (*.f64 x x))

Outputs

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

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-def_binary64`
358×	`associate--l+_binary64`
349×	`associate-/r*_binary64`
304×	`times-frac_binary64`
190×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1435
1	506	1225
2	1610	1027

Stop Event

1×	node limit

Counts

156 → 171

Calls

Call 1

Inputs
(*.f64 (+.f64 1 (pow.f64 x -1/2)) x)
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x)))
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x))) (.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x)))) (*.f64 1/8 (pow.f64 x 3)))
(*.f64 2 (sqrt.f64 (pow.f64 x 3)))
(+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (.f64 3/2 (sqrt.f64 x)))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (.f64 3/2 (sqrt.f64 x))) (*.f64 1/8 (sqrt.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/2 (sqrt.f64 x)))) (.f64 1/8 (sqrt.f64 (/.f64 1 x))))
(.f64 2 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/8 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 1/8 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(-.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 x)) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 3/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 3/2 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)

Outputs
(*.f64 (+.f64 1 (pow.f64 x -1/2)) x)
(*.f64 x (+.f64 1 (pow.f64 x -1/2)))
(+.f64 x (sqrt.f64 x))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x)))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 x x) (+.f64 x (sqrt.f64 x))))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 x (fma.f64 1/2 (*.f64 x x) (sqrt.f64 x))))
(+.f64 (pow.f64 x 3/2) (+.f64 x (fma.f64 x (*.f64 x 1/2) (sqrt.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x))) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x (sqrt.f64 x))) (.f64 (pow.f64 x 3) 1/8)))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (+.f64 x (fma.f64 1/2 (.f64 x x) (sqrt.f64 x))) (.f64 (pow.f64 x 3) -1/8)))
(fma.f64 (pow.f64 x 3) -1/8 (+.f64 (pow.f64 x 3/2) (+.f64 x (fma.f64 x (*.f64 x 1/2) (sqrt.f64 x)))))
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (sqrt.f64 x) x)))) (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (-.f64 (fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (+.f64 x (sqrt.f64 x)))) (.f64 (pow.f64 x 3) 1/8)))
(+.f64 (fma.f64 1/16 (pow.f64 x 4) (+.f64 x (fma.f64 1/2 (.f64 x x) (sqrt.f64 x)))) (-.f64 (sqrt.f64 (pow.f64 x 3)) (.f64 (pow.f64 x 3) 1/8)))
(fma.f64 (pow.f64 x 3) -1/8 (+.f64 (+.f64 x (fma.f64 x (*.f64 x 1/2) (sqrt.f64 x))) (fma.f64 1/16 (pow.f64 x 4) (pow.f64 x 3/2))))
(*.f64 2 (sqrt.f64 (pow.f64 x 3)))
(*.f64 (sqrt.f64 (pow.f64 x 3)) 2)
(*.f64 (pow.f64 x 3/2) 2)
(+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (.f64 3/2 (sqrt.f64 x)))
(fma.f64 2 (sqrt.f64 (pow.f64 x 3)) (*.f64 (sqrt.f64 x) 3/2))
(fma.f64 (sqrt.f64 (pow.f64 x 3)) 2 (*.f64 (sqrt.f64 x) 3/2))
(fma.f64 (pow.f64 x 3/2) 2 (*.f64 (sqrt.f64 x) 3/2))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (.f64 3/2 (sqrt.f64 x))) (*.f64 1/8 (sqrt.f64 (/.f64 1 x))))
(+.f64 (fma.f64 2 (sqrt.f64 (pow.f64 x 3)) (.f64 (sqrt.f64 x) 3/2)) (.f64 -1/8 (sqrt.f64 (/.f64 1 x))))
(fma.f64 (sqrt.f64 (pow.f64 x 3)) 2 (fma.f64 (sqrt.f64 x) 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) -1/8 (fma.f64 (pow.f64 x 3/2) 2 (*.f64 (sqrt.f64 x) 3/2)))
(-.f64 (+.f64 (.f64 2 (sqrt.f64 (pow.f64 x 3))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/2 (sqrt.f64 x)))) (.f64 1/8 (sqrt.f64 (/.f64 1 x))))
(+.f64 (fma.f64 2 (sqrt.f64 (pow.f64 x 3)) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 x) 3/2))) (.f64 -1/8 (sqrt.f64 (/.f64 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 x 3)) 2 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 x) 3/2))) (.f64 (sqrt.f64 (/.f64 1 x)) -1/8))
(fma.f64 (sqrt.f64 (/.f64 1 x)) -1/8 (fma.f64 (pow.f64 x 3/2) 2 (fma.f64 (sqrt.f64 x) 3/2 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(.f64 2 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(.f64 2 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (*.f64 x x) 2))
(.f64 2 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))
(+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))
(fma.f64 3/2 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 x (.f64 3/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (+.f64 (.f64 2 (.f64 x x)) (.f64 x 3/2)))
(-.f64 (+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 1/8 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (fma.f64 3/2 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (*.f64 -1/8 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(fma.f64 3/2 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/8)))
(fma.f64 x (.f64 3/2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))) (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (-.f64 (.f64 2 (.f64 x x)) 1/8)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (+.f64 (.f64 3/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)) (.f64 2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 1/8 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 3/2 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (*.f64 -1/8 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 3/2 (.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/8))))
(fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) x) (fma.f64 x (.f64 3/2 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))) (.f64 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x))) (-.f64 (.f64 2 (.f64 x x)) 1/8))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (-.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))
(-.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (/.f64 (*.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)))))
(-.f64 (fma.f64 1/4 (/.f64 x (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (.f64 (sqrt.f64 x) (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))
(-.f64 (+.f64 (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (+.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3))) (-.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 x (sqrt.f64 x)))) (/.f64 (*.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 x)) (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (.f64 1/8 (/.f64 x (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 1/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 3/4 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (.f64 3/2 (/.f64 x (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (+.f64 (.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) 1) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2))))) (.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x))))))))))))
(-.f64 (fma.f64 1/4 (/.f64 x (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x) (+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (fma.f64 1/4 (.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (fma.f64 3/4 (.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))) (fma.f64 1/8 (/.f64 (.f64 x x) (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 1/8 (/.f64 (.f64 x x) (.f64 (+.f64 1 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/2 (/.f64 x (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (sqrt.f64 x) (fma.f64 1/16 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))))))))))
(-.f64 (+.f64 (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (.f64 (+.f64 (sqrt.f64 x) 1) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)))) (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (fma.f64 1/8 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (fma.f64 1/8 (/.f64 x (/.f64 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3) x)) (+.f64 (fma.f64 1/16 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))))) (*.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))))))
(+.f64 (fma.f64 1/8 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (+.f64 (/.f64 (+.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 1 (+.f64 x (sqrt.f64 x))))) (-.f64 (fma.f64 1/4 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (fma.f64 (pow.f64 x 3/2) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) (/.f64 3/4 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4))) (+.f64 (fma.f64 1/8 (+.f64 (/.f64 (.f64 x x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 3)) x)) (fma.f64 3/2 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 4)))) (fma.f64 1/16 (*.f64 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) x) (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8)))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) -35/128))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))
(/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (.f64 x x)) (/.f64 (/.f64 -3/8 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 5/16 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (/.f64 (/.f64 5/16 (pow.f64 x 4)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (.f64 x x)) (fma.f64 5/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (/.f64 (/.f64 -3/8 (pow.f64 (exp.f64 -1/2) (+.f64 0 (log.f64 x)))) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 5)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))))))
(+.f64 (/.f64 5/16 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 35/128 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 5))))))
(+.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (-.f64 (/.f64 (/.f64 5/16 (pow.f64 x 4)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 3/8 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 35/128 (.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 5))))))
(fma.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (.f64 x x)) (fma.f64 5/16 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 4)) (fma.f64 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 3)) -3/8 (.f64 (/.f64 (exp.f64 (.f64 1/2 (+.f64 0 (log.f64 x)))) (pow.f64 x 5)) -35/128))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)

prune236.0ms (5.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	228	1	229
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	229	6	235

Error

0.0b

Counts

235 → 6

Alt Table

Status	Error	Program
▶	0.7b	(.f64 (pow.f64 (.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1))
✓	6.0b	(/.f64 1 (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x))))
	43.3b	(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
	36.3b	(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (/.f64 1 x) x)))
	31.0b	(/.f64 1 (fma.f64 2 (pow.f64 x 3/2) (fma.f64 (sqrt.f64 x) 3/2 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))))
	20.1b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

Compiler

Compiled 7101 to 4940 computations (30.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4))
✓	0.3b	(pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1)
✓	0.3b	(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x)))
✓	0.4b	(.f64 (pow.f64 (.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1))

series585.0ms (13%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
392.0ms	x	@	0	(.f64 (pow.f64 (.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1))
82.0ms	x	@	0	(pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1)
21.0ms	x	@	0	(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x)))
16.0ms	x	@	-inf	(.f64 (pow.f64 (.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1))
14.0ms	x	@	inf	(.f64 (pow.f64 (.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1))

rewrite52.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

233×	`log1p-udef_binary64`
232×	`expm1-udef_binary64`
214×	`prod-diff_binary64`
171×	`fma-def_binary64`
146×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	303	80
2	3490	80

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1))
(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x)))
(pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1)
(hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4))

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

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
635×	`times-frac_binary64`
281×	`cancel-sign-sub-inv_binary64`
136×	`associate-r_binary64`
125×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1419
1	561	1308
2	1992	1058

Stop Event

1×	node limit

Counts

105 → 127

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 x 3))))))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 3) 1/4))
(-.f64 (.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 3) 1/4)) (.f64 1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 x) 1/4))))
(.f64 -1 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 1/4 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (sqrt.f64 2))) (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (sqrt.f64 2) x)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4))
(+.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4))) (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))
(/.f64 -1 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (*.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (sqrt.f64 2) x)))))
(sqrt.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))
(-.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))) x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 2)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))) x)) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3))) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (+.f64 (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))) (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))) x)) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1) 3))) (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (.f64 5/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 3))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3))) (pow.f64 x 2)))))))
(*.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4))
(-.f64 (.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4)) (.f64 1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4))))
(-.f64 (+.f64 (.f64 3/16 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4))) (+.f64 (.f64 1/32 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (.f64 1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)))))
(-.f64 (+.f64 (.f64 3/16 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (+.f64 (.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4)) (.f64 3/64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4))))) (+.f64 (.f64 1/32 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (+.f64 (.f64 1/4 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4))) (+.f64 (.f64 5/32 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4))) (.f64 1/128 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4)))))))
(.f64 (sqrt.f64 2) (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (sqrt.f64 2)) (.f64 1/4 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (sqrt.f64 2) x))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (sqrt.f64 2))) (+.f64 (.f64 1/4 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) x))) (.f64 1/32 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (sqrt.f64 2)) (.f64 3/64 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 5/32 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) (pow.f64 x 3)))) (+.f64 (.f64 1/128 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 3)))) (.f64 1/32 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))))))

Outputs
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/2)
(+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 1/8))
(/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2))))
(/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x))))
(/.f64 1/2 (.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (.f64 x x)))
(/.f64 (/.f64 1/2 (.f64 x x)) (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/2))
(+.f64 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 x x)))) (/.f64 1/2 (.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 4)))))
(+.f64 (/.f64 1/2 (.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (.f64 x x))) (/.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) 4)) (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)))
(+.f64 (/.f64 (/.f64 1/2 (.f64 x x)) (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/2)) (.f64 1/8 (/.f64 (exp.f64 (neg.f64 (.f64 (+.f64 0 (log.f64 x)) -1/2))) (pow.f64 x 3))))
(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 3) 1/4))
(-.f64 (.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 3) 1/4)) (.f64 1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 x) 1/4))))
(-.f64 (.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 3) 1/4)) (.f64 (*.f64 1/4 (/.f64 1 (sqrt.f64 2))) (pow.f64 (/.f64 1 x) 1/4)))
(fma.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 3) 1/4) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 x) 1/4) (sqrt.f64 2))))
(.f64 -1 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) x)))
(neg.f64 (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (.f64 (sqrt.f64 2) x)))
(.f64 x (.f64 (pow.f64 (*.f64 1 (exp.f64 (log.f64 x))) -1/4) (neg.f64 (sqrt.f64 2))))
(-.f64 (.f64 1/4 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (sqrt.f64 2))) (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 x (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(-.f64 (/.f64 1/4 (/.f64 (sqrt.f64 2) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) x)))
(fma.f64 1/4 (/.f64 (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (sqrt.f64 2)) (.f64 x (.f64 (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (neg.f64 (sqrt.f64 2)))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4))
(/.f64 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (sqrt.f64 2))
(+.f64 (.f64 1/4 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4))) (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))
(fma.f64 1/4 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4)) (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))
(fma.f64 (*.f64 1/4 (/.f64 1/2 (sqrt.f64 2))) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4) (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4) (sqrt.f64 2)) (*.f64 1/8 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4) (sqrt.f64 2))))
(/.f64 -1 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (*.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x)))
(/.f64 -1 (.f64 (sqrt.f64 2) (.f64 x (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(/.f64 -1 (.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) x)))
(/.f64 (neg.f64 (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 1/4))) (.f64 (sqrt.f64 2) x))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (sqrt.f64 2) x)))))
(neg.f64 (+.f64 (/.f64 1/4 (.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3)))) (/.f64 (/.f64 1 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) x))))
(-.f64 (/.f64 -1/4 (.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x x))))) (/.f64 (exp.f64 (neg.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 (sqrt.f64 2) x)))
(-.f64 (/.f64 (neg.f64 (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 1/4))) (.f64 (sqrt.f64 2) x)) (.f64 1/8 (/.f64 (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 1/4)) (.f64 (sqrt.f64 2) (.f64 x x)))))
(sqrt.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))
(sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))) x)))
(+.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x)))) (.f64 -1/4 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))))))
(-.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (.f64 x 1/4)))
(fma.f64 -1/4 (*.f64 x (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 2)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))) x)) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3))) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x)))) (.f64 3/16 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))))) (fma.f64 1/4 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (.f64 1/32 (.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3)))))))
(-.f64 (fma.f64 3/16 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (fma.f64 1/4 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (.f64 (.f64 x x) (.f64 1/32 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3)))))))
(+.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x)))) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (-.f64 (.f64 3/16 (.f64 x x)) (.f64 1/4 x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3))) (.f64 (*.f64 x x) 1/32))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1)) (+.f64 (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))) (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (/.f64 1 x)) 1))) x)) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) 1) 3))) (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (.f64 5/32 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 3))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3))) (pow.f64 x 2)))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x)))) (fma.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (.f64 3/16 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))))))) (fma.f64 1/4 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 1/128 (.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3)))) (fma.f64 5/32 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (.f64 1/32 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3)))))))))
(+.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x)))) (-.f64 (fma.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (.f64 (.f64 x x) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) 3/16))) (fma.f64 1/4 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 1/128 (.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3)))) (fma.f64 1/32 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3)))) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) 5/32)))))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) (+.f64 (.f64 3/16 (.f64 x x)) (.f64 3/64 (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x)))))))) (fma.f64 x (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 (pow.f64 x 3) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 1 x))))) 5/32) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 1 x))) 3))) (+.f64 (.f64 1/32 (.f64 x x)) (.f64 1/128 (/.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 (/.f64 1 x))))))))))
(*.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4))
(-.f64 (.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4)) (.f64 1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4))))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4)) (.f64 -1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4))))
(fma.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (sqrt.f64 2))))
(fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4)))
(-.f64 (+.f64 (.f64 3/16 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4))) (+.f64 (.f64 1/32 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (.f64 1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)))))
(-.f64 (fma.f64 3/16 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4)) (.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4))) (fma.f64 1/32 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4)) (.f64 1/4 (*.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)))))
(-.f64 (fma.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (/.f64 3/16 (sqrt.f64 2)))) (fma.f64 1/4 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (sqrt.f64 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (*.f64 (/.f64 1/2 (sqrt.f64 2)) 1/32))))
(+.f64 (fma.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (-.f64 (/.f64 3/16 (sqrt.f64 2)) (.f64 (/.f64 1/2 (sqrt.f64 2)) 1/32)))) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 3/16 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (+.f64 (.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4)) (.f64 3/64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4))))) (+.f64 (.f64 1/32 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4))) (+.f64 (.f64 1/4 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4))) (+.f64 (.f64 5/32 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4))) (.f64 1/128 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 5)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4)))))))
(-.f64 (fma.f64 3/16 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4)) (fma.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4) (.f64 3/64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4))))) (fma.f64 1/32 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 3)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4)) (fma.f64 1/4 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)) (fma.f64 5/32 (.f64 (/.f64 1 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4)) (.f64 1/128 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (/.f64 1 (pow.f64 (sqrt.f64 2) 5))))))))
(-.f64 (fma.f64 3/16 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (sqrt.f64 2)) (fma.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4) (.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) 3/64)))) (fma.f64 1/32 (.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4)) (fma.f64 1/4 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (sqrt.f64 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (/.f64 5/32 (sqrt.f64 2)) (/.f64 1/128 (pow.f64 (sqrt.f64 2) 5)))))))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 2) (pow.f64 (/.f64 1 x) 1/4) (.f64 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (sqrt.f64 2)) 3/128)) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (-.f64 (/.f64 3/16 (sqrt.f64 2)) (.f64 (/.f64 1/2 (sqrt.f64 2)) 1/32)))) (fma.f64 1/4 (/.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (sqrt.f64 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (/.f64 5/32 (sqrt.f64 2)) (/.f64 1/128 (pow.f64 (sqrt.f64 2) 5))))))
(.f64 (sqrt.f64 2) (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(*.f64 (sqrt.f64 2) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(.f64 (sqrt.f64 2) (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4))
(-.f64 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (sqrt.f64 2)) (.f64 1/4 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (sqrt.f64 2) x))))
(+.f64 (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 (sqrt.f64 2) x))))
(fma.f64 (sqrt.f64 2) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) x))))
(fma.f64 (sqrt.f64 2) (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (.f64 -1/4 (/.f64 (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (.f64 (sqrt.f64 2) x))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (sqrt.f64 2))) (+.f64 (.f64 1/4 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) x))) (.f64 1/32 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))))
(-.f64 (fma.f64 3/16 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) (.f64 x x))) (.f64 (sqrt.f64 2) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) x)) (.f64 1/32 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))))
(fma.f64 3/16 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) (.f64 x x))) (fma.f64 (sqrt.f64 2) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (fma.f64 1/32 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x x)))) (.f64 (/.f64 1/4 (sqrt.f64 2)) (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))))))
(-.f64 (fma.f64 (sqrt.f64 2) (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (.f64 (/.f64 (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (sqrt.f64 2)) (-.f64 (/.f64 3/16 (.f64 x x)) (/.f64 1/4 x)))) (.f64 (/.f64 (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (.f64 (sqrt.f64 2) (.f64 x x))) 1/64))
(-.f64 (+.f64 (.f64 3/16 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (sqrt.f64 2)) (.f64 3/64 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 5/32 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (sqrt.f64 2) (pow.f64 x 3)))) (+.f64 (.f64 1/128 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 3)))) (.f64 1/32 (/.f64 (exp.f64 (.f64 -1/4 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 2))))))))
(-.f64 (fma.f64 3/16 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) (.f64 x x))) (fma.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (sqrt.f64 2) (.f64 3/64 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3)))))) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) x)) (fma.f64 5/32 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) (pow.f64 x 3))) (fma.f64 1/128 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (.f64 1/32 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 2) 3))))))))
(-.f64 (fma.f64 3/16 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) (.f64 x x))) (fma.f64 (sqrt.f64 2) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 3/64 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 2 (.f64 (sqrt.f64 2) (pow.f64 x 3))))))) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) x)) (fma.f64 5/32 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 (sqrt.f64 2) (pow.f64 x 3))) (fma.f64 1/32 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x x)))) (*.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 2) 5)) (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)))))))
(-.f64 (+.f64 (fma.f64 (sqrt.f64 2) (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (.f64 (/.f64 (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (.f64 (sqrt.f64 2) (pow.f64 x 3))) 3/128)) (.f64 (/.f64 (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (sqrt.f64 2)) (-.f64 (/.f64 3/16 (.f64 x x)) (/.f64 1/4 x)))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 1 (exp.f64 (log.f64 x))) -1/4) (.f64 (sqrt.f64 2) (.f64 x x))) 1/64) (.f64 (/.f64 (pow.f64 (*.f64 1 (exp.f64 (log.f64 x))) -1/4) (pow.f64 x 3)) (+.f64 (/.f64 1/128 (pow.f64 (sqrt.f64 2) 5)) (/.f64 5/32 (sqrt.f64 2))))))

prune309.0ms (6.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	224	2	226
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	224	8	232

Error

0.0b

Counts

232 → 8

Alt Table

Status	Error	Program
✓	0.7b	(.f64 (pow.f64 (.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1))
✓	6.0b	(/.f64 1 (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 1 (-.f64 x x))) (+.f64 x (.f64 x x))))
	43.3b	(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) -3/8))
	36.3b	(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (/.f64 1 x) x)))
	0.6b	(.f64 (pow.f64 (.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (/.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4))) (hypot.f64 x (sqrt.f64 x))))
	31.0b	(/.f64 1 (fma.f64 2 (pow.f64 x 3/2) (fma.f64 (sqrt.f64 x) 3/2 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))))
	1.2b	(.f64 (pow.f64 (.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x)))) 3) -1))
	20.1b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

Compiler

Compiled 9882 to 7075 computations (28.4% saved)

regimes511.0ms (11.4%)

Accuracy

Total 0.6b remaining (95.6%)

Threshold costs 0.6b (95.6%)

Counts

230 → 1

Compiler

Compiled 9562 to 7768 computations (18.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	21	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (/.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4))) (hypot.f64 x (sqrt.f64 x))))

Outputs

(*.f64 (pow.f64 (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4)) (hypot.f64 x (sqrt.f64 x))) -1) (/.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 x -1/4))) (hypot.f64 x (sqrt.f64 x))))

end184.0ms (4.1%)

Stop Event

1×

fuel

Compiler

Compiled 268 to 199 computations (25.7% saved)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17

Details

analyze1.0ms (0%)

sample1.7s (36.8%)

preprocess19.0ms (0.4%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.2%)

series25.0ms (0.6%)

rewrite62.0ms (1.4%)

simplify27.0ms (0.6%)

prune212.0ms (4.7%)

localize14.0ms (0.3%)

series26.0ms (0.6%)

rewrite76.0ms (1.7%)

simplify42.0ms (0.9%)

prune253.0ms (5.6%)

localize28.0ms (0.6%)

series26.0ms (0.6%)

rewrite41.0ms (0.9%)

simplify38.0ms (0.9%)

prune236.0ms (5.3%)

localize14.0ms (0.3%)

series585.0ms (13%)

rewrite52.0ms (1.2%)

simplify39.0ms (0.9%)

prune309.0ms (6.9%)

regimes511.0ms (11.4%)

simplify2.0ms (0.1%)

end184.0ms (4.1%)

Profiling

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17