Details

analyze26.0ms (0.4%)

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.4s (32.9%)

Results

907.0ms	1463×	body	2048	valid
668.0ms	1833×	body	1024	valid
464.0ms	3821×	body	256	valid
260.0ms	1139×	body	512	valid
37.0ms	325×	body	256	invalid

preprocess70.0ms (1%)

Algorithm

2×	egg-herbie

Rules

736×	`unswap-sqr_binary64`
578×	`associate-l_binary64`
470×	`associate-r_binary64`
392×	`distribute-rgt-out_binary64`
312×	`associate-/l/_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	884	12
7	3971	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 10 to 8 computations (20% saved)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
440×	`unswap-sqr_binary64`
420×	`cancel-sign-sub-inv_binary64`
394×	`*-commutative_binary64`
337×	`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	567	6
7	2415	6
8	5935	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))

eval1.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(expm1.f64 (*.f64 a x))
▶	28.5b	(-.f64 (exp.f64 (*.f64 a x)) 1)

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series5.0ms (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))
1.0ms	a	@	-inf	(expm1.f64 (*.f64 a x))
1.0ms	x	@	-inf	(expm1.f64 (*.f64 a x))
1.0ms	a	@	inf	(expm1.f64 (*.f64 a x))

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`pow1_binary64`
422×	`add-sqr-sqrt_binary64`
416×	`*-un-lft-identity_binary64`
405×	`add-log-exp_binary64`
405×	`log1p-expm1-u_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 → 24

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 a) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (exp.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 (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 a) x) 3) 1) (fma.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 (fma.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 a) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) (cbrt.f64 (pow.f64 (exp.f64 a) x))) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 a) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.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 (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 a) x) 3) 1) (fma.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 (fma.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 a) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) (cbrt.f64 (pow.f64 (exp.f64 a) x))) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)))))

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1324×	`distribute-lft-out_binary64`
822×	`fma-def_binary64`
421×	`associate-/l/_binary64`
365×	`associate-/r/_binary64`
354×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	284
1	90	284
2	245	280
3	1019	262
4	3128	248
5	4834	248
6	6672	248

Stop Event

1×	node limit

Counts

48 → 33

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 a x))
✓	4.8b	(-.f64 (exp.f64 (*.f64 a x)) 1)

Compiler

Compiled 18 to 7 computations (61.1% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(-.f64 (exp.f64 (*.f64 a x)) 1)
1.0ms	x	@	0	(-.f64 (exp.f64 (*.f64 a x)) 1)
0.0ms	a	@	0	(exp.f64 (*.f64 a x))
0.0ms	x	@	0	(exp.f64 (*.f64 a x))
0.0ms	a	@	inf	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite72.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

655×	`pow1_binary64`
606×	`add-log-exp_binary64`
605×	`log1p-expm1-u_binary64`
605×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	141	12
2	1683	12

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify184.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1322×	`distribute-lft-out_binary64`
740×	`sqr-pow_binary64`
493×	`*-commutative_binary64`
474×	`associate-+l+_binary64`
304×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	33	310
1	96	302
2	273	294
3	1095	288
4	2275	270
5	3810	270
6	5132	244
7	5657	244
8	5839	244
9	6011	244
10	6259	244
11	6493	244
12	6765	244
13	7059	244
14	7375	244
15	7707	244

Stop Event

1×	node limit

Counts

72 → 70

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

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

eval53.0ms (0.7%)

Compiler: Compiled 1221 to 537 computations (56% saved)

prune127.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	8	105

Error

0.0b

Counts

105 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)
▶	50.1b	(-.f64 1 1)
▶	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	28.5b	(-.f64 (exp.f64 (*.f64 a x)) 1)
▶	21.2b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
▶	20.9b	(*.f64 a x)
▶	49.0b	(-.f64 (+.f64 1 (*.f64 a x)) 1)

Compiler

Compiled 112 to 82 computations (26.8% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.3b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	11.5b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series41.0ms (0.6%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
5.0ms	x	@	inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
4.0ms	x	@	inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
4.0ms	a	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)

rewrite79.0ms (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`
558×	`add-exp-log_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 → 41

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 (+.f64 1 (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 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 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))))))))

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

631×	`distribute-rgt-in_binary64`
563×	`distribute-lft-in_binary64`
452×	`associate-+l+_binary64`
452×	`unswap-sqr_binary64`
434×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	272
1	31	224
2	51	224
3	80	224
4	153	224
5	383	224
6	1266	224
7	3342	224

Stop Event

1×	node limit

Counts

73 → 44

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

localize4.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.8b	(-.f64 (+.f64 1 (*.f64 a x)) 1)

Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
697×	`add-log-exp_binary64`
697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
685×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	154	4
2	2151	4

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 a x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 a x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 a x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a x)) (pow.f64 (cbrt.f64 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) 2) (cbrt.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a x)) (sqrt.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 a x 1) 2) (+.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 a x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 a x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 2) (+.f64 (*.f64 a x) 2)) (+.f64 (pow.f64 (fma.f64 a x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 a x) 2) (+.f64 (pow.f64 (fma.f64 a x 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 a x 1) 2) (+.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 a x 1) 2) (-.f64 1 (*.f64 (fma.f64 a x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 2) -1) (+.f64 (*.f64 a x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 2) -1) (-.f64 (fma.f64 a x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 2) (+.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 a x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 a x -1) (fma.f64 a x -1)) (fma.f64 a x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 a x -1) (fma.f64 a x -1))) (-.f64 1 (fma.f64 a x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 a x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a x 1)) 2) (cbrt.f64 (fma.f64 a x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a x 1)) (sqrt.f64 (fma.f64 a x 1)) -1)))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	5	96

Stop Event

1×

saturated

Counts

71 → 47

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (.f64 a (.f64 a x)) a)
✓	0.1b	(.f64 a (.f64 a x))
✓	1.5b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))

Compiler

Compiled 31 to 10 computations (67.7% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
1.0ms	x	@	-inf	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
1.0ms	x	@	inf	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
1.0ms	a	@	inf	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
1.0ms	a	@	0	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))

rewrite192.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
703×	`add-log-exp_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	161	32
2	1907	32

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 a (.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)

Outputs

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

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

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

simplify242.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1251×	`unswap-sqr_binary64`
787×	`fma-def_binary64`
757×	`sqr-pow_binary64`
356×	`*-commutative_binary64`
350×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	810
1	33	774
2	73	720
3	206	720
4	1007	720
5	2030	720
6	2321	720
7	2644	720
8	2897	720
9	3066	720
10	3261	720
11	3425	720
12	3614	720
13	3829	720
14	4059	720
15	4303	720
16	4568	720
17	4847	720
18	5147	720
19	5461	720
20	5531	720
21	7479	720
22	7766	720

Stop Event

1×	node limit

Counts

121 → 61

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

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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 x (.f64 a (.f64 a x))))
(.f64 a (.f64 (.f64 x (.f64 a x)) 1/2))
(.f64 x (.f64 a (.f64 (.f64 a x) 1/2)))
(.f64 x (.f64 a (.f64 a (.f64 x 1/2))))
(.f64 a (.f64 (.f64 x x) (.f64 a 1/2)))
(+.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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 x (.f64 a (.f64 a x))))
(.f64 a (.f64 (.f64 x (.f64 a x)) 1/2))
(.f64 x (.f64 a (.f64 (.f64 a x) 1/2)))
(.f64 x (.f64 a (.f64 a (.f64 x 1/2))))
(.f64 a (.f64 (.f64 x x) (.f64 a 1/2)))
(+.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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 x (.f64 a (.f64 a x))))
(.f64 a (.f64 (.f64 x (.f64 a x)) 1/2))
(.f64 x (.f64 a (.f64 (.f64 a x) 1/2)))
(.f64 x (.f64 a (.f64 a (.f64 x 1/2))))
(.f64 a (.f64 (.f64 x x) (.f64 a 1/2)))
(+.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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 x (.f64 a (.f64 a x))))
(.f64 a (.f64 (.f64 x (.f64 a x)) 1/2))
(.f64 x (.f64 a (.f64 (.f64 a x) 1/2)))
(.f64 x (.f64 a (.f64 a (.f64 x 1/2))))
(.f64 a (.f64 (.f64 x x) (.f64 a 1/2)))
(+.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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 x (.f64 1/2 (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 a (*.f64 x 1/2)))
(.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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 x (.f64 1/2 (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 a (*.f64 x 1/2)))
(.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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 x (.f64 1/2 (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 a (*.f64 x 1/2)))
(.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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 x (.f64 1/2 (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 a (*.f64 x 1/2)))
(.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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)

eval46.0ms (0.6%)

Compiler: Compiled 2306 to 1104 computations (52.1% saved)

prune105.0ms (1.5%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	181	4	185
Fresh	0	1	1
Picked	1	0	1
Done	0	6	6
Total	182	11	193

Error

0.0b

Counts

193 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)
✓	50.1b	(-.f64 1 1)
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	28.5b	(-.f64 (exp.f64 (*.f64 a x)) 1)
✓	20.9b	(*.f64 a x)
▶	21.2b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
▶	50.3b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
▶	35.1b	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)
▶	21.2b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
✓	49.0b	(-.f64 (+.f64 1 (*.f64 a x)) 1)

Compiler

Compiled 160 to 110 computations (31.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a)
✓	0.0b	(.f64 1/2 (.f64 a (*.f64 x a)))
✓	0.1b	(.f64 a (.f64 x a))
✓	1.5b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))

Compiler

Compiled 40 to 14 computations (65% saved)

series8.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
0.0ms	x	@	0	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
0.0ms	x	@	inf	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
0.0ms	a	@	0	(.f64 1/2 (.f64 a (*.f64 x a)))
0.0ms	a	@	-inf	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
407×	`pow-prod-down_binary64`
389×	`exp-prod_binary64`
342×	`fma-def_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	199	42
2	2717	42

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x a) (.f64 1/2 (pow.f64 (.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 1) (.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 1/2 (.f64 x (.f64 a a)) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 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(.f64 a a)) 3) 1/8 (pow.f64 a 3)) (fma.f64 a a (-.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2) (.f64 1/2 (.f64 (.f64 x (.f64 a a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2) (.f64 a a)) (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (.f64 a a)) 3) 1/8 (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (.f64 1/2 (.f64 x (.f64 a a)))) (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2) (.f64 a a))) (neg.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2)) (-.f64 a (.f64 1/2 (.f64 x (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a (-.f64 a (.f64 1/2 (.f64 x (.f64 a a)))) (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2)) (fma.f64 (pow.f64 (.f64 x (.f64 a a)) 3) 1/8 (pow.f64 a 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a)) (-.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2) (.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 a)) (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x (.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x (.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x (.f64 a a))))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 x a)) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x (.f64 a a))))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 x (.f64 a a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (.f64 1/2 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 (.f64 x a) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x a) (.f64 1/2 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 a a)) 1/2 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (.f64 x (.f64 a a))) 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (.f64 1/2 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/2 (.f64 x (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 a a))) 2) (.f64 (cbrt.f64 (.f64 x (.f64 a a))) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2)) (cbrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (cbrt.f64 (.f64 a a)) (.f64 1/2 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a) (.f64 1/2 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (.f64 a a))) (.f64 (sqrt.f64 (.f64 x (.f64 a a))) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) (sqrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 1/2 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 a) (.f64 x a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (.f64 x a)) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (.f64 x (.f64 a a))) 2)) (cbrt.f64 (.f64 x (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (sqrt.f64 (.f64 x (.f64 a a)))) (sqrt.f64 (.f64 x (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/2 a) x) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/2 a) a) x a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/2 a) 1) (.f64 x a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/2 a) (pow.f64 (cbrt.f64 (.f64 x a)) 2)) (cbrt.f64 (.f64 x a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/2 a) (sqrt.f64 (.f64 x a))) (sqrt.f64 (*.f64 x a)) a)))))

simplify427.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1251×	`unswap-sqr_binary64`
787×	`fma-def_binary64`
757×	`sqr-pow_binary64`
356×	`*-commutative_binary64`
350×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	1050
1	33	1014
2	73	960
3	206	960
4	1007	960
5	2030	960
6	2321	960
7	2644	960
8	2897	960
9	3066	960
10	3261	960
11	3425	960
12	3614	960
13	3829	960
14	4059	960
15	4303	960
16	4568	960
17	4847	960
18	5147	960
19	5461	960
20	5531	960
21	7479	960
22	7766	960

Stop Event

1×	node limit

Counts

287 → 203

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

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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) 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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 x (.f64 a (.f64 a x))))
(.f64 a (.f64 (.f64 x (.f64 a x)) 1/2))
(.f64 x (.f64 a (.f64 (.f64 a x) 1/2)))
(.f64 x (.f64 a (.f64 a (.f64 x 1/2))))
(.f64 a (.f64 (.f64 x x) (.f64 a 1/2)))
(+.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 1/2 (.f64 x (.f64 a (.f64 a x))) (.f64 a x))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 (*.f64 a x) 1/2) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 a (fma.f64 (.f64 x x) (*.f64 a 1/2) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
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(fma.f64 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 x (.f64 1/2 (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 a (*.f64 x 1/2)))
(.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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 x (.f64 1/2 (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 a (*.f64 x 1/2)))
(.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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 x (.f64 1/2 (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 a (*.f64 x 1/2)))
(.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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 x (.f64 1/2 (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 a (.f64 (*.f64 a x) 1/2))
(.f64 a (.f64 a (*.f64 x 1/2)))
(.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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) 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 a (.f64 (.f64 a x) 1/2) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 a (.f64 x (*.f64 a 1/2)))
✓	3.1b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series16.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
2.0ms	x	@	-inf	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
1.0ms	a	@	0	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
1.0ms	x	@	0	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
1.0ms	x	@	inf	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))

rewrite89.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	164	23
2	2020	23

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify323.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1252×	`unswap-sqr_binary64`
927×	`sqr-pow_binary64`
591×	`cube-prod_binary64`
484×	`fabs-mul_binary64`
366×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	552
1	26	552
2	62	552
3	200	552
4	934	552
5	1599	552
6	1665	552
7	1765	552
8	1885	552
9	2007	552
10	2154	552
11	2318	552
12	2507	552
13	2722	552
14	2952	552
15	3196	552
16	3461	552
17	3740	552
18	4040	552
19	4354	552
20	4424	552
21	6372	552
22	6617	552
23	6865	552
24	6983	552
25	7805	552

Stop Event

1×	node limit

Counts

74 → 30

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))

Outputs
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 (.f64 a a) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 (.f64 (.f64 a a) x) (.f64 1/2 x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (*.f64 a a) x))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 (.f64 a x) (*.f64 1/2 a))

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 a (*.f64 x a)))
	0.1b	(.f64 a (.f64 x a))
✓	3.1b	(.f64 (.f64 1/2 (.f64 a (.f64 x a))) x)
✓	4.4b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))

Compiler

Compiled 42 to 14 computations (66.7% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary64`
434×	`fma-def_binary64`
387×	`exp-prod_binary64`
380×	`pow-prod-down_binary64`
262×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	196	24
2	2664	24

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (*.f64 a x) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (*.f64 a x) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (*.f64 a x) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))) (sqrt.f64 (log.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 a x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 (*.f64 a x) 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))) 3) 1/3))))))

simplify217.0ms (3%)

Algorithm

1×	egg-herbie

Rules

899×	`unswap-sqr_binary64`
738×	`fma-def_binary64`
700×	`sqr-pow_binary64`
530×	`fabs-mul_binary64`
498×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	678
1	26	678
2	58	660
3	175	624
4	869	624
5	1742	624
6	2026	624
7	2268	624
8	2545	624
9	2716	624
10	2909	624
11	4369	624
12	4662	624
13	4958	624
14	5316	624
15	5737	624
16	6352	624
17	7122	624
18	7614	624
19	7994	624

Stop Event

1×	node limit

Counts

156 → 113

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

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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(+.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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(+.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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(+.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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(+.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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) 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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (+.f64 (.f64 x (.f64 1/2 (.f64 a a))) a))
(.f64 x (fma.f64 x (.f64 1/2 (*.f64 a a)) a))
(.f64 a (fma.f64 a (.f64 1/2 (*.f64 x x)) x))
(.f64 a (fma.f64 a (.f64 x (*.f64 x 1/2)) x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 x (.f64 x (.f64 1/2 (.f64 a a))))
(.f64 a (.f64 (.f64 a x) (.f64 x 1/2)))
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 a (.f64 a (.f64 x (.f64 x 1/2))))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (E.f64) (*.f64 a x))
✓	4.8b	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)

Compiler

Compiled 21 to 8 computations (61.9% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)
0.0ms	x	@	0	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)
0.0ms	x	@	-inf	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)
0.0ms	a	@	-inf	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)
0.0ms	a	@	inf	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)

rewrite187.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
713×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
701×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	170	12
2	2048	12

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1330×	`distribute-lft-out_binary64`
421×	`associate-/l/_binary64`
380×	`associate-+l+_binary64`
364×	`associate-/r/_binary64`
322×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	35	502
1	104	494
2	287	486
3	1125	480
4	2357	462
5	4063	462
6	5911	436

Stop Event

1×	node limit

Counts

97 → 65

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)
1
(+.f64 1 (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
1
(+.f64 1 (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 a x))

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.2b	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)
✓	1.6b	(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
	11.5b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series5.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)
1.0ms	a	@	0	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)
1.0ms	a	@	0	(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
0.0ms	x	@	0	(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
0.0ms	a	@	inf	(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`pow1_binary64`
637×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
620×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	188	14
2	1809	14

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

631×	`distribute-rgt-in_binary64`
563×	`distribute-lft-in_binary64`
452×	`associate-+l+_binary64`
452×	`unswap-sqr_binary64`
434×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	272
1	31	224
2	51	224
3	80	224
4	153	224
5	383	224
6	1266	224
7	3342	224

Stop Event

1×	node limit

Counts

77 → 47

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

eval247.0ms (3.4%)

Compiler: Compiled 8805 to 4131 computations (53.1% saved)

prune104.0ms (1.4%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	566	1	567
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	566	12	578

Error

Counts

578 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.5b	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)
✓	50.1b	(-.f64 1 1)
▶	13.0b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)
✓	20.9b	(*.f64 a x)
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	28.5b	(-.f64 (exp.f64 (*.f64 a x)) 1)
✓	21.2b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
✓	50.3b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	35.1b	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)
✓	21.2b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
✓	49.0b	(-.f64 (+.f64 1 (*.f64 a x)) 1)

Compiler

Compiled 121 to 85 computations (29.8% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	5.3b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2)) 1/3)
	11.5b	(cbrt.f64 (expm1.f64 (*.f64 a x)))
✓	20.5b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))

Compiler

Compiled 81 to 33 computations (59.3% saved)

series298.0ms (4.2%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
141.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2)) 1/3)
50.0ms	x	@	inf	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
45.0ms	a	@	inf	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
16.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
15.0ms	x	@	-inf	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	238	34
2	2467	34

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2)) 1/3)
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4))) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 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 (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 *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/12) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/12))))) (#(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 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1/2)))) (#(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 (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 pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(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 fabs.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(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 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))))))))))

simplify138.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-def_binary64`
581×	`associate-l_binary64`
555×	`distribute-rgt-out_binary64`
547×	`associate-r_binary64`
533×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1414
1	296	1333
2	1043	1209
3	5078	1167
4	7683	1167

Stop Event

1×	node limit

Counts

123 → 86

Calls

Call 1

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

Outputs
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 1/18 a) (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 1/18 (.f64 a (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 a (*.f64 x 1/18)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 1 (.f64 a (*.f64 x 1/18))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.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 (pow.f64 a 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x)))))
(fma.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 (.f64 a a) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 1/18 a) (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))))
(+.f64 (.f64 1/18 (.f64 a (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (*.f64 a a)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 a (.f64 x 1/18)) (fma.f64 (.f64 x x) (.f64 (.f64 a a) 1/162) 1)))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 (.f64 a x) 1/18) (fma.f64 (.f64 x x) (.f64 (.f64 a a) 1/162) 1)))
(+.f64 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))))))) (+.f64 (.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 (pow.f64 a 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))))))
(fma.f64 (pow.f64 a 3) (.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 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 (.f64 a a) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 1/18 a) (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))))))
(fma.f64 (pow.f64 a 3) (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/18 (.f64 a (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (*.f64 a a)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 (pow.f64 a 3) (.f64 (fma.f64 1/34992 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/3888)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 a (.f64 x 1/18)) (fma.f64 (.f64 x x) (.f64 (.f64 a a) 1/162) 1))))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 a a) 1/162) 1) (.f64 a (.f64 x 1/18))) (.f64 (pow.f64 a 3) (.f64 (pow.f64 x 3) 5/17496))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 1/18 a) (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 1/18 (.f64 a (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 a (*.f64 x 1/18)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 1 (.f64 a (*.f64 x 1/18))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (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 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x)))))
(fma.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 (.f64 a a) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 1/18 a) (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))))
(+.f64 (.f64 1/18 (.f64 a (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (*.f64 a a)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 a (.f64 x 1/18)) (fma.f64 (.f64 x x) (.f64 (.f64 a a) 1/162) 1)))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 (.f64 a x) 1/18) (fma.f64 (.f64 x x) (.f64 (.f64 a a) 1/162) 1)))
(+.f64 (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 x 3))) (+.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 x 2))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (pow.f64 x 3) (fma.f64 1/54 (.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (.f64 (.f64 1/324 a) (.f64 (.f64 a a) 1/12))))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 (.f64 1/18 a) (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))))))
(+.f64 (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (+.f64 0 (.f64 (fma.f64 (pow.f64 a 3) 1/34992 (.f64 1/324 (.f64 (pow.f64 a 3) 1/12))) (pow.f64 x 3))) (.f64 (.f64 x x) (fma.f64 1/648 (.f64 a a) (.f64 (.f64 a a) 1/216))))) (fma.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (+.f64 (.f64 x (fma.f64 (pow.f64 a 3) 1/34992 (.f64 (pow.f64 a 3) 1/3888))) (.f64 (.f64 a a) 1/162))) (.f64 (+.f64 (.f64 a (*.f64 x 1/18)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) 1/162)) (.f64 x 1/18))) (fma.f64 (pow.f64 x 3) (*.f64 (pow.f64 a 3) 5/17496) 1)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))

eval76.0ms (1.1%)

Compiler: Compiled 2821 to 1429 computations (49.3% saved)

prune28.0ms (0.4%)

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	11	11
Total	107	12	119

Error

Counts

119 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.5b	(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)
✓	50.1b	(-.f64 1 1)
✓	13.0b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)
✓	20.9b	(*.f64 a x)
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	28.5b	(-.f64 (exp.f64 (*.f64 a x)) 1)
✓	21.2b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
✓	50.3b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	35.1b	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)
✓	21.2b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
✓	49.0b	(-.f64 (+.f64 1 (*.f64 a x)) 1)

Compiler

Compiled 121 to 85 computations (29.8% saved)

regimes215.0ms (3%)

Counts

13 → 1

Calls

Call 1

Inputs
(-.f64 1 1)
(*.f64 a x)
(-.f64 (+.f64 1 (*.f64 a x)) 1)
(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(-.f64 (pow.f64 (E.f64) (*.f64 a x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)
(pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)

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

Calls

7 calls:

143.0ms	a
39.0ms	(*.f64 a x)
12.0ms	x
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`x`
0.0b	1	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
0.0b	1	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
0.0b	1	`(exp.f64 (*.f64 a x))`
0.0b	1	`(exp.f64 (*.f64 a x))`
0.0b	1	`(*.f64 a x)`

Compiler

Compiled 148 to 80 computations (45.9% saved)

regimes26.0ms (0.4%)

Accuracy

Total -29.8b remaining (-142.4%)

Threshold costs -29.8b (-142.4%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

9.0ms	x
8.0ms	a
6.0ms	(*.f64 a x)

Results

Error	Segments	Branch
20.9b	1	`a`
20.9b	1	`x`
20.9b	1	`(*.f64 a x)`

Compiler

Compiled 59 to 32 computations (45.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(-.f64 1 1)

Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(-.f64 1 1)
0

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness125.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
440×	`unswap-sqr_binary64`
420×	`cancel-sign-sub-inv_binary64`
394×	`*-commutative_binary64`
337×	`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	567	6
7	2415	6
8	5935	6

Stop Event

1×	node limit

Compiler

Compiled 14 to 10 computations (28.6% saved)

end37.0ms (0.5%)

Remove: (sort a x)
Compiler: Compiled 22 to 13 computations (40.9% saved)

Details

analyze26.0ms (0.4%)

sample2.4s (32.9%)

preprocess70.0ms (1%)

simplify80.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize9.0ms (0.1%)

series5.0ms (0.1%)

rewrite67.0ms (0.9%)

simplify99.0ms (1.4%)

localize13.0ms (0.2%)

series6.0ms (0.1%)

rewrite72.0ms (1%)

simplify184.0ms (2.6%)

eval53.0ms (0.7%)

prune127.0ms (1.8%)

localize19.0ms (0.3%)

series41.0ms (0.6%)

rewrite79.0ms (1.1%)

simplify45.0ms (0.6%)

localize4.0ms (0.1%)

localize3.0ms (0%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite67.0ms (0.9%)

simplify8.0ms (0.1%)

localize10.0ms (0.1%)

series8.0ms (0.1%)

rewrite192.0ms (2.7%)

simplify242.0ms (3.4%)

eval46.0ms (0.6%)

prune105.0ms (1.5%)

localize12.0ms (0.2%)

series8.0ms (0.1%)

rewrite79.0ms (1.1%)

simplify427.0ms (6%)

localize19.0ms (0.3%)

series16.0ms (0.2%)

rewrite89.0ms (1.2%)

simplify323.0ms (4.5%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite98.0ms (1.4%)

simplify217.0ms (3%)

localize11.0ms (0.1%)

series4.0ms (0.1%)

rewrite187.0ms (2.6%)

simplify67.0ms (0.9%)

localize14.0ms (0.2%)

series5.0ms (0.1%)

rewrite55.0ms (0.8%)

simplify55.0ms (0.8%)

eval247.0ms (3.4%)

prune104.0ms (1.4%)

localize30.0ms (0.4%)

series298.0ms (4.2%)

rewrite78.0ms (1.1%)

simplify138.0ms (1.9%)

eval76.0ms (1.1%)

prune28.0ms (0.4%)

regimes215.0ms (3%)

regimes26.0ms (0.4%)

simplify5.0ms (0.1%)

soundness125.0ms (1.7%)

end37.0ms (0.5%)

Profiling