Details

analyze59.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.0s (60.7%)

Results

768.0ms	1525×	body	2048	valid
547.0ms	1711×	body	1024	valid
274.0ms	3164×	body	128	valid
264.0ms	1201×	body	512	valid
103.0ms	655×	body	256	valid
11.0ms	122×	body	128	invalid

preprocess34.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

736×	`unswap-sqr_binary64`
572×	`associate-l_binary64`
458×	`associate-r_binary64`
278×	`fma-def_binary64`
262×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	22	12
2	30	12
3	48	12
4	98	12
5	256	12
6	875	12
7	3913	12
0	2	2
1	2	2

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 x a)) 1)

Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 x a)) 1)
(expm1.f64 (*.f64 a x))

Symmetry

(sort a x)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify19.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

440×	`unswap-sqr_binary64`
329×	`associate-l_binary64`
275×	`associate-+l+_binary64`
252×	`associate-r_binary64`
201×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	16	6
2	23	6
3	35	6
4	70	6
5	175	6
6	556	6
7	2331	6

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)

Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a x))

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(expm1.f64 (*.f64 a x))
1.0ms	x	@	0	(expm1.f64 (*.f64 a x))
0.0ms	a	@	-inf	(expm1.f64 (*.f64 a x))
0.0ms	a	@	inf	(expm1.f64 (*.f64 a x))
0.0ms	x	@	-inf	(expm1.f64 (*.f64 a x))

rewrite29.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`pow1_binary64`
405×	`add-log-exp_binary64`
405×	`log1p-expm1-u_binary64`
405×	`expm1-log1p-u_binary64`
395×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	96	6
2	1113	6

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))

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

Outputs

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

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Rules

846×	`distribute-lft-out_binary64`
822×	`fma-def_binary64`
303×	`*-commutative_binary64`
300×	`unswap-sqr_binary64`
174×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	284
1	89	284
2	244	280
3	1019	262
4	3124	248
5	4830	248

Stop Event

1×	node limit

Counts

42 → 27

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 x (.f64 a (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 x (+.f64 (.f64 x (.f64 1/2 (*.f64 a a))) a)))
(.f64 x (+.f64 a (.f64 x (fma.f64 a (.f64 a 1/2) (.f64 1/6 (*.f64 x (pow.f64 a 3)))))))
(fma.f64 x (fma.f64 x (.f64 a (.f64 a 1/2)) a) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 a x (fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 x (fma.f64 1/2 (.f64 a (.f64 a x)) a) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4))))))
(fma.f64 x (fma.f64 x (.f64 a (.f64 a 1/2)) a) (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 x (.f64 a (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 x (+.f64 (.f64 x (.f64 1/2 (*.f64 a a))) a)))
(.f64 x (+.f64 a (.f64 x (fma.f64 a (.f64 a 1/2) (.f64 1/6 (*.f64 x (pow.f64 a 3)))))))
(fma.f64 x (fma.f64 x (.f64 a (.f64 a 1/2)) a) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 a x (fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 x (fma.f64 1/2 (.f64 a (.f64 a x)) a) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4))))))
(fma.f64 x (fma.f64 x (.f64 a (.f64 a 1/2)) a) (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))

prune20.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

0.0b

Counts

28 → 3

Alt Table

Status	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
	25.3b	(fma.f64 x (fma.f64 x (.f64 a (.f64 a 1/2)) a) (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))

Compiler

Compiled 377 to 189 computations (49.9% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.4b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	9.6b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

series21.0ms (0.7%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
2.0ms	x	@	-inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))
2.0ms	a	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
2.0ms	a	@	inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))

rewrite36.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	164	14
2	1619	14

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)

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

Outputs

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

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

simplify29.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

833×	`fma-def_binary64`
506×	`distribute-rgt-in_binary64`
465×	`distribute-lft-in_binary64`
452×	`unswap-sqr_binary64`
211×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	224
1	24	224
2	35	224
3	56	224
4	113	224
5	307	224
6	1051	224
7	2813	224

Stop Event

1×	node limit

Counts

75 → 46

Calls

Call 1

Inputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)

Outputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))

prune47.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	4	76

Error

0.0b

Counts

76 → 4

Alt Table

Status	Error	Program
▶	1.3b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
	25.3b	(fma.f64 x (fma.f64 x (.f64 a (.f64 a 1/2)) a) (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))

Compiler

Compiled 1018 to 482 computations (52.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
✓	0.4b	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
	9.6b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

series148.0ms (4.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
28.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
27.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
16.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
8.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
646×	`add-log-exp_binary64`
646×	`log1p-expm1-u_binary64`
646×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	209	24
2	1895	24

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 a x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 a) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 9) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))))))

simplify101.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

582×	`associate-r_binary64`
483×	`associate-l_binary64`
433×	`fma-def_binary64`
345×	`distribute-lft-in_binary64`
345×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	334	7928
1	1449	6727

Stop Event

1×	node limit

Counts

141 → 119

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/162 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
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(pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (.f64 1/18 (.f64 a (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 2 (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (+.f64 (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (.f64 1/9 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))) (+.f64 (pow.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) 2) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))))) (pow.f64 x 3)))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)

Outputs
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(fma.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/162 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
(fma.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (fma.f64 (.f64 a a) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 1/324 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/162 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x x)) (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (fma.f64 (.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))) (fma.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 1/162 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
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(fma.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (+.f64 (fma.f64 (.f64 a a) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 1/324 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/162 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x x)) (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 (pow.f64 a 3) (fma.f64 (fma.f64 1/9 (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648))) (.f64 (.f64 2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (fma.f64 1/324 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/34992 (pow.f64 x 3) (.f64 1/54 (.f64 (pow.f64 x 3) 0)))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x)) (fma.f64 1/18 (.f64 (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 1/324 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 (fma.f64 1/324 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/34992 (pow.f64 x 3) (.f64 1/54 (*.f64 (pow.f64 x 3) 0)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))))))))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (fma.f64 (.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))) (fma.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 1/162 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))) (fma.f64 (pow.f64 a 3) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 x (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))) (.f64 2 (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (fma.f64 1/9 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))) (fma.f64 1/18 (.f64 x (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))))) (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x (.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6)))
(fma.f64 x (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(+.f64 (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x)))
(fma.f64 (fma.f64 1/162 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 (.f64 1/324 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))))) (.f64 x x) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6))))
(fma.f64 (.f64 x x) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 1/324 (.f64 a a)) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 a a) 1/162))) (fma.f64 x (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
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(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))
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(fma.f64 1/18 (.f64 x (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) a)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))
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(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))
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(fma.f64 1/18 (.f64 x (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) a)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))
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(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
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(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 4)) (fma.f64 2 (.f64 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6) (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/162 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 (.f64 1/324 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6) (+.f64 (pow.f64 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6) 2) (.f64 2 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/162 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 (.f64 1/324 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))))))))))))
(fma.f64 x (fma.f64 2 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 1/6 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6))) (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 1/6 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6)))) (fma.f64 (.f64 x x) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (pow.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) 2)) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 1/324 (.f64 a a)) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 a a) 1/162)))) (pow.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) 2)) (.f64 (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 1/324 (.f64 a a)) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 a a) 1/162))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6)))) (fma.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 2 (+.f64 (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 1/324 (.f64 a a)) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 a a) 1/162)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 0 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 0 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992))))) (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))) (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 1/324 (.f64 a a)) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 1/18)))))))) (fma.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 0 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 0 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992))))) (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))) (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 1/324 (.f64 a a)) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 1/18)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6) (fma.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 1/324 (.f64 a a)) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 a a) 1/162)))) (pow.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) 2)) (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 1/324 (.f64 a a)) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 a a) 1/162)))) (.f64 2 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6))))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 4) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 5)))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))

prune212.0ms (6.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	141	4	145

Error

0.0b

Counts

145 → 4

Alt Table

Status	Error	Program
✓	1.3b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	25.3b	(fma.f64 x (fma.f64 x (.f64 a (.f64 a 1/2)) a) (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))

Compiler

Compiled 12682 to 7330 computations (42.2% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 a x) 3)
✓	0.2b	(pow.f64 (*.f64 a x) 4)
✓	5.4b	(fma.f64 x (.f64 a (.f64 a 1/2)) a)
✓	12.3b	(fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))

series16.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))
1.0ms	x	@	0	(fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))
1.0ms	a	@	inf	(fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))
1.0ms	x	@	inf	(fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))
1.0ms	a	@	-inf	(fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))

rewrite59.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`
222×	`prod-diff_binary64`
159×	`add-sqr-sqrt_binary64`
153×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	344	45
2	3778	45

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

Inputs
(fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))
(fma.f64 x (.f64 a (.f64 a 1/2)) a)
(pow.f64 (*.f64 a x) 4)
(pow.f64 (*.f64 a x) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/24 (pow.f64 (.f64 a x) 4)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 1) (.f64 1/24 (pow.f64 (.f64 a x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 2)) (cbrt.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))) (sqrt.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 3) (pow.f64 (.f64 1/24 (pow.f64 (.f64 a x) 4)) 3)) (+.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (-.f64 (.f64 1/576 (pow.f64 (.f64 a x) 8)) (.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (.f64 1/576 (pow.f64 (.f64 a x) 8))) (-.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (.f64 a x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (.f64 x (.f64 1/2 (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 1/2 (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 1/2 (.f64 a a))) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 1/2 (.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)) 2) (cbrt.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)) (sqrt.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (.f64 1/2 (.f64 a a))) 3) (pow.f64 a 3)) (+.f64 (.f64 (.f64 x (.f64 1/2 (.f64 a a))) (.f64 x (.f64 1/2 (.f64 a a)))) (-.f64 (.f64 a a) (.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (.f64 1/2 (.f64 a a))) (.f64 x (.f64 1/2 (.f64 a a)))) (.f64 a a)) (-.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 1/2 (.f64 a a)) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a x) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a x) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 a x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a x) 2) (pow.f64 (.f64 a x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 a x) 4)) (cbrt.f64 (pow.f64 (.f64 a x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 a x) 8)) (cbrt.f64 (pow.f64 (.f64 a x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 4) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 4) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a x)) 2) 4) (pow.f64 (cbrt.f64 (.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 a x)) 4) (pow.f64 (sqrt.f64 (.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 a x) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 a x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 x (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 a (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 a x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a x) 2) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a x)) 2) (.f64 (cbrt.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a x)) (.f64 (sqrt.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a x) 3/2) (pow.f64 (.f64 a x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a x)) 2) 3) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 a x)) 3) (pow.f64 (sqrt.f64 (.f64 a x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a x) 2) a) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a x) 2) x) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a x) 2) 1) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a x) 2) (pow.f64 (cbrt.f64 (.f64 a x)) 2)) (cbrt.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 a x) 2) (sqrt.f64 (.f64 a x))) (sqrt.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 a x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 a x))) 1))))))

simplify151.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

674×	`unswap-sqr_binary64`
633×	`sqr-pow_binary64`
476×	`*-commutative_binary64`
283×	`pow-sqr_binary64`
240×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	1302
1	58	1266
2	169	1266
3	658	1248
4	1265	1212
5	2499	1212
6	2586	1212
7	2727	1212
8	2856	1212
9	3002	1212
10	3198	1212
11	3446	1212
12	3737	1212
13	4098	1212
14	4533	1212

Stop Event

1×	node limit

Counts

187 → 101

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))

Outputs
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (pow.f64 a 3)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (.f64 1/6 (pow.f64 a 3)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))
(.f64 (pow.f64 a 3) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 a (.f64 1/24 (pow.f64 x 4)))))
(.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 x 3) (.f64 a (*.f64 1/24 (pow.f64 x 4)))))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 1/2 (*.f64 a x)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 1/2 (*.f64 a x)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 1/2 (*.f64 a x)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 1/2 (*.f64 a x)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(fma.f64 x (.f64 1/2 (.f64 a a)) a)
(.f64 a (fma.f64 x (.f64 a 1/2) 1))
(.f64 a (fma.f64 1/2 (.f64 a x) 1))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 4) (pow.f64 x 4))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))

prune87.0ms (2.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	101	4	105

Error

0.0b

Counts

105 → 4

Alt Table

Status	Error	Program
✓	1.3b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	25.3b	(fma.f64 x (fma.f64 x (.f64 a (.f64 a 1/2)) a) (fma.f64 1/6 (pow.f64 (.f64 a x) 3) (.f64 1/24 (pow.f64 (*.f64 a x) 4))))

Compiler

Compiled 2974 to 1688 computations (43.2% saved)

regimes38.0ms (1.2%)

Accuracy

Total -25.5b remaining (-122045.5%)

Threshold costs -25.5b (-122045.5%)

Counts

15 → 1

Compiler

Compiled 234 to 106 computations (54.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))

Outputs
(expm1.f64 (*.f64 a x))

end49.0ms (1.5%)

Stop Event

1×

done

Remove

(sort a x)

Compiler

Compiled 69 to 37 computations (46.4% saved)

Details

analyze59.0ms (1.8%)

sample2.0s (60.7%)

preprocess34.0ms (1.1%)

simplify19.0ms (0.6%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite29.0ms (0.9%)

simplify34.0ms (1%)

prune20.0ms (0.6%)

localize5.0ms (0.2%)

series21.0ms (0.7%)

rewrite36.0ms (1.1%)

simplify29.0ms (0.9%)

prune47.0ms (1.4%)

localize7.0ms (0.2%)

series148.0ms (4.5%)

rewrite55.0ms (1.7%)

simplify101.0ms (3.1%)

prune212.0ms (6.5%)

localize15.0ms (0.5%)

series16.0ms (0.5%)

rewrite59.0ms (1.8%)

simplify151.0ms (4.6%)

prune87.0ms (2.7%)

regimes38.0ms (1.2%)

simplify2.0ms (0.1%)

end49.0ms (1.5%)

Profiling