Details

analyze35.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	4
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	5
78.6%	68.7%	18.7%	0.1%	0%	0%	12.5%	6
80%	68.7%	17.2%	0.1%	0%	0%	14%	7
87.1%	68.7%	10.1%	0.1%	0%	0%	21.1%	8
88.4%	68.7%	9%	0.1%	0%	0%	22.2%	9
92.9%	68.7%	5.3%	0.1%	0%	0%	26%	10
93.7%	68.7%	4.6%	0.1%	0%	0%	26.6%	11
96.2%	68.7%	2.7%	0.1%	0%	0%	28.5%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample998.0ms (19.9%)

Results

945.0ms	8256×	body	256	valid
38.0ms	185×	body	256	unsamplable

Bogosity

preprocess16.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	10	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	-inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	b	@	inf	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`pow1_binary64`
793×	`add-log-exp_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
774×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	147	21
2	2122	21

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

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

Outputs

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

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

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
622×	`associate-/r*_binary64`
542×	`associate-/l*_binary64`
483×	`unswap-sqr_binary64`
300×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	2019
1	629	1812
2	2219	1632

Stop Event

1×	node limit

Counts

82 → 128

Calls

Call 1

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

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

eval58.0ms (1.1%)

Compiler: Compiled 2994 to 1518 computations (49.3% saved)

prune21.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	122	6	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	6	129

Error

Counts

129 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
▶	0.4b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
▶	0.2b	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))))
▶	0.6b	(/.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
▶	21.9b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶	10.5b	(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 144 to 102 computations (29.2% saved)

localize18.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 a) (exp.f64 b))
✓	0.0b	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))))
✓	0.0b	(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b)))

Compiler

Compiled 47 to 23 computations (51.1% saved)

series323.0ms (6.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
313.0ms	a	@	0	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))))
1.0ms	b	@	0	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))))
1.0ms	a	@	inf	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))))
1.0ms	b	@	inf	(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b)))
1.0ms	a	@	-inf	(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))))

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`prod-diff_binary64`
559×	`log-prod_binary64`
443×	`fma-def_binary64`
220×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	253	46
2	3445	46

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))))
(+.f64 (+.f64 1 a) (exp.f64 b))

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

Outputs

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

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

334×	`cancel-sign-sub-inv_binary64`
278×	`fma-neg_binary64`
244×	`fma-def_binary64`
218×	`distribute-rgt-neg-in_binary64`
192×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	4143
1	1159	4041
2	4245	3817

Stop Event

1×	node limit

Counts

198 → 253

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series7.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(/.f64 1 (+.f64 1 (exp.f64 b)))
1.0ms	b	@	0	(+.f64 1 (exp.f64 b))
1.0ms	b	@	inf	(/.f64 1 (+.f64 1 (exp.f64 b)))
1.0ms	b	@	-inf	(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	inf	(+.f64 1 (exp.f64 b))

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`pow1_binary64`
554×	`add-log-exp_binary64`
554×	`log1p-expm1-u_binary64`
554×	`expm1-log1p-u_binary64`
542×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	124	15
2	1567	15

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))

Outputs

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

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

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

627×	`unswap-sqr_binary64`
384×	`div-sub_binary64`
372×	`fma-def_binary64`
317×	`fma-neg_binary64`
279×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	861
1	351	765
2	1213	596
3	5893	596

Stop Event

1×	node limit

Counts

65 → 90

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 b 5)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/48 (pow.f64 b 3)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 b 5)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2))
(+.f64 2 (fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2)))
(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(fma.f64 1 (exp.f64 b) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series3.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

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

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`pow1_binary64`
623×	`add-log-exp_binary64`
623×	`log1p-expm1-u_binary64`
623×	`expm1-log1p-u_binary64`
610×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	124	16
2	1679	16

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))

Outputs

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

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

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

392×	`associate-/l*_binary64`
378×	`div-sub_binary64`
377×	`associate-/r*_binary64`
370×	`fma-def_binary64`
311×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1034
1	398	839
2	1320	714
3	5363	714

Stop Event

1×	node limit

Counts

71 → 98

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(-.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(.f64 (sqrt.f64 (exp.f64 a)) (.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) 1)) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(exp.f64 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)

Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(+.f64 (.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
(+.f64 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a)) (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 (+.f64 a 2) (.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(-.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(.f64 (sqrt.f64 (exp.f64 a)) (.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 2 (expm1.f64 a)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) 1)) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	0.4b	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)

Compiler

Compiled 39 to 12 computations (69.2% saved)

series10.0ms (0.2%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
1.0ms	b	@	0	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
1.0ms	b	@	-inf	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
1.0ms	a	@	inf	(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`prod-diff_binary64`
443×	`log-prod_binary64`
332×	`exp-prod_binary64`
274×	`pow-prod-down_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	213	31
2	2559	31

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3))) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/4) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 5/6) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3))) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3)))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 a) 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 b) 1 (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))))

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

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

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

668×	`associate-/l*_binary64`
572×	`unswap-sqr_binary64`
211×	`sqr-pow_binary64`
185×	`cancel-sign-sub-inv_binary64`
175×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	3761
1	1157	3618
2	3524	3481

Stop Event

1×	node limit

Counts

200 → 251

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
	0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	0.0b	(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
✓	0.4b	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)

Compiler

Compiled 42 to 10 computations (76.2% saved)

series30.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	b	@	0	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
7.0ms	a	@	0	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
5.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
3.0ms	a	@	inf	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
2.0ms	b	@	inf	(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`prod-diff_binary64`
455×	`log-prod_binary64`
340×	`exp-prod_binary64`
295×	`pow-prod-down_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	215	28
2	2622	28

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/6) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (exp.f64 a))) (cbrt.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (exp.f64 a))) (neg.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) 1))))))

simplify122.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

356×	`associate-r_binary64`
351×	`associate-l_binary64`
281×	`sqr-pow_binary64`
272×	`fma-def_binary64`
268×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	489	7500
1	1418	7367
2	5517	7361

Stop Event

1×	node limit

Counts

151 → 185

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 (exp.f64 b))))
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(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/6)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))) 3/2)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/6) 2)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2/3)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1/3)
(pow.f64 (exp.f64 1) (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (exp.f64 1/3) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) -1)
(pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (cbrt.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 3))
(exp.f64 (.f64 (.f64 1/6 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) 3/2))
(exp.f64 (.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1/3))
(exp.f64 (.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) 1))

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3)))))))
(+.f64 (fma.f64 a (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 (.f64 a a) (+.f64 (.f64 1/3 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (.f64 (fma.f64 1/9 (.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18))) (.f64 (.f64 2/3 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))
(fma.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 (.f64 a a) (fma.f64 1/3 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 (.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) 2/9 (.f64 (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 2/3 (cbrt.f64 (+.f64 1 (exp.f64 b)))))) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))))))) (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 8)) 1/9) (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 1/2 (/.f64 1 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(exp.f64 (.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1/3))
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 (.f64 (.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3) 1))
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 (.f64 (.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) 1))
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))

eval673.0ms (13.4%)

Compiler: Compiled 32391 to 18990 computations (41.4% saved)

prune272.0ms (5.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	1058	8	1066
Fresh	1	0	1
Picked	1	0	1
Done	4	0	4
Total	1064	8	1072

Error

Counts

1072 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	22.2b	(/.f64 (exp.f64 a) 2)
	28.5b	(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
▶	29.0b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	39.3b	(/.f64 1 (+.f64 b 2))
▶	10.5b	(/.f64 1 (+.f64 2 (expm1.f64 b)))
▶	37.8b	(+.f64 1/2 (*.f64 1/4 a))
▶	39.6b	(+.f64 1/2 (*.f64 -1/4 b))
	38.0b	1/2

Compiler

Compiled 121 to 99 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (expm1.f64 b))
✓	0.0b	(expm1.f64 b)
✓	0.0b	(/.f64 1 (+.f64 2 (expm1.f64 b)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(/.f64 1 (+.f64 2 (expm1.f64 b)))
1.0ms	b	@	inf	(/.f64 1 (+.f64 2 (expm1.f64 b)))
0.0ms	b	@	-inf	(/.f64 1 (+.f64 2 (expm1.f64 b)))
0.0ms	b	@	0	(expm1.f64 b)
0.0ms	b	@	0	(+.f64 2 (expm1.f64 b))

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`pow1_binary64`
650×	`add-log-exp_binary64`
649×	`log1p-expm1-u_binary64`
649×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	148	18
2	1779	18

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(expm1.f64 b)
(+.f64 2 (expm1.f64 b))

Outputs

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

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

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

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-def_binary64`
389×	`distribute-rgt-in_binary64`
364×	`distribute-lft-in_binary64`
345×	`associate-/l*_binary64`
299×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1029
1	449	974
2	1815	966

Stop Event

1×	node limit

Counts

113 → 129

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 b 5)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 b (.f64 1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 b)))) 1)
(*.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 b))))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 b))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 b)))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2) (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (expm1.f64 b)) -2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) -1))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (+.f64 4 (.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (-.f64 2 (expm1.f64 b)))
(pow.f64 (+.f64 2 (expm1.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 2 (expm1.f64 b))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (expm1.f64 b))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 b)))) 3)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 (expm1.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 (expm1.f64 b)))))
(+.f64 (exp.f64 b) -1)
(-.f64 (exp.f64 b) 1)
(*.f64 1 (expm1.f64 b))
(*.f64 (expm1.f64 b) 1)
(*.f64 (cbrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)))
(*.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 3) 1) (+.f64 (.f64 (exp.f64 b) (exp.f64 b)) (+.f64 1 (.f64 (exp.f64 b) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 b) (exp.f64 b)) 1) (+.f64 (exp.f64 b) 1))
(pow.f64 (expm1.f64 b) 1)
(pow.f64 (cbrt.f64 (expm1.f64 b)) 3)
(pow.f64 (sqrt.f64 (expm1.f64 b)) 2)
(pow.f64 (pow.f64 (expm1.f64 b) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 b) 2))
(log.f64 (exp.f64 (expm1.f64 b)))
(cbrt.f64 (pow.f64 (expm1.f64 b) 3))
(log1p.f64 (expm1.f64 (expm1.f64 b)))
(exp.f64 (log.f64 (expm1.f64 b)))
(-.f64 (exp.f64 b) -1)
(-.f64 (+.f64 1 (+.f64 2 (expm1.f64 b))) 1)
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 b))) (/.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 2 (expm1.f64 b))))
(-.f64 (+.f64 2 (exp.f64 b)) 1)
(*.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (+.f64 2 (expm1.f64 b)) 1)
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 2) (cbrt.f64 (+.f64 2 (expm1.f64 b))))
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) (sqrt.f64 (+.f64 2 (expm1.f64 b))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (/.f64 1 (-.f64 2 (expm1.f64 b))))
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 b))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))) (+.f64 8 (pow.f64 (expm1.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 b)) (-.f64 4 (pow.f64 (expm1.f64 b) 2))))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 b)))))
(/.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2))
(/.f64 (+.f64 (neg.f64 (expm1.f64 b)) -2) -1)
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (+.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 4 (*.f64 2 (expm1.f64 b)))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (neg.f64 (-.f64 2 (expm1.f64 b))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 b) 2) 4) (-.f64 (expm1.f64 b) 2))
(pow.f64 (+.f64 2 (expm1.f64 b)) 1)
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 3)
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (expm1.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 b))))
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 b))))
(fma.f64 1 (expm1.f64 b) 2)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)) 2)
(fma.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)) 2)

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 1/48 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/48 (pow.f64 b 3)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/480 (pow.f64 b 5)) (+.f64 (.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 b (.f64 1/2 (pow.f64 b 2))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 b (.f64 1/2 (.f64 b b))))
(fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1/2 (*.f64 b b) (fma.f64 (pow.f64 b 3) 1/6 b))
(+.f64 (.f64 1/24 (pow.f64 b 4)) (+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/24 (pow.f64 b 4) (fma.f64 1/6 (pow.f64 b 3) (+.f64 b (.f64 1/2 (.f64 b b)))))
(fma.f64 1/24 (pow.f64 b 4) (fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/24 (pow.f64 b 4) (fma.f64 1/2 (*.f64 b b) (fma.f64 (pow.f64 b 3) 1/6 b)))
(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b)))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) (fma.f64 (pow.f64 b 3) 1/6 b)))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 b)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 b))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 b)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2) (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (expm1.f64 b)) -2)))
(/.f64 -1 (+.f64 -2 (neg.f64 (expm1.f64 b))))
(/.f64 -1 (-.f64 -2 (expm1.f64 b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) -1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) -1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (+.f64 4 (.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (+.f64 4 (.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2))))
(/.f64 (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4) (+.f64 8 (pow.f64 (expm1.f64 b) 3)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (-.f64 2 (expm1.f64 b)))
(/.f64 (-.f64 3 (exp.f64 b)) (-.f64 4 (pow.f64 (expm1.f64 b) 2)))
(pow.f64 (+.f64 2 (expm1.f64 b)) -1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (/.f64 1 (+.f64 2 (expm1.f64 b))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 (expm1.f64 b))) 3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 b)))) 3)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 (expm1.f64 b))) 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 (expm1.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (exp.f64 b) -1)
(expm1.f64 b)
(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
(*.f64 1 (expm1.f64 b))
(expm1.f64 b)
(*.f64 (expm1.f64 b) 1)
(expm1.f64 b)
(*.f64 (cbrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2))
(expm1.f64 b)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)))
(expm1.f64 b)
(*.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)))
(expm1.f64 b)
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 3) 1) (+.f64 (.f64 (exp.f64 b) (exp.f64 b)) (+.f64 1 (.f64 (exp.f64 b) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) -1) (+.f64 (exp.f64 (+.f64 b b)) (+.f64 1 (exp.f64 b))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 b) (fma.f64 (exp.f64 b) (exp.f64 b) 1)))
(/.f64 (expm1.f64 (*.f64 3 b)) (+.f64 1 (exp.f64 (+.f64 b (log1p.f64 (exp.f64 b))))))
(/.f64 (-.f64 (*.f64 (exp.f64 b) (exp.f64 b)) 1) (+.f64 (exp.f64 b) 1))
(expm1.f64 b)
(pow.f64 (expm1.f64 b) 1)
(expm1.f64 b)
(pow.f64 (cbrt.f64 (expm1.f64 b)) 3)
(expm1.f64 b)
(pow.f64 (sqrt.f64 (expm1.f64 b)) 2)
(expm1.f64 b)
(pow.f64 (pow.f64 (expm1.f64 b) 3) 1/3)
(expm1.f64 b)
(sqrt.f64 (pow.f64 (expm1.f64 b) 2))
(expm1.f64 b)
(log.f64 (exp.f64 (expm1.f64 b)))
(expm1.f64 b)
(cbrt.f64 (pow.f64 (expm1.f64 b) 3))
(expm1.f64 b)
(log1p.f64 (expm1.f64 (expm1.f64 b)))
(expm1.f64 b)
(exp.f64 (log.f64 (expm1.f64 b)))
(expm1.f64 b)
(-.f64 (exp.f64 b) -1)
(+.f64 1 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 2 (expm1.f64 b))) 1)
(+.f64 1 (exp.f64 b))
(-.f64 (/.f64 4 (-.f64 2 (expm1.f64 b))) (/.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 2 (expm1.f64 b))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 3 (exp.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (exp.f64 b) -3))
(-.f64 (+.f64 2 (exp.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(*.f64 1 (+.f64 2 (expm1.f64 b)))
(+.f64 1 (exp.f64 b))
(*.f64 (+.f64 2 (expm1.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 2))
(+.f64 1 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 2) (cbrt.f64 (+.f64 2 (expm1.f64 b))))
(+.f64 1 (exp.f64 b))
(*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) (sqrt.f64 (+.f64 2 (expm1.f64 b))))
(+.f64 1 (exp.f64 b))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(*.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (/.f64 1 (-.f64 2 (expm1.f64 b))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 3 (exp.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (exp.f64 b) -3))
(/.f64 1 (/.f64 1 (+.f64 2 (expm1.f64 b))))
(+.f64 1 (exp.f64 b))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))) (+.f64 8 (pow.f64 (expm1.f64 b) 3))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(/.f64 1 (/.f64 (-.f64 2 (expm1.f64 b)) (-.f64 4 (pow.f64 (expm1.f64 b) 2))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 3 (exp.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (exp.f64 b) -3))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (expm1.f64 b)))))
(+.f64 1 (exp.f64 b))
(/.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (+.f64 (neg.f64 (expm1.f64 b)) -2) -1)
(/.f64 (+.f64 -2 (neg.f64 (expm1.f64 b))) -1)
(/.f64 (-.f64 -2 (expm1.f64 b)) -1)
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (+.f64 (pow.f64 (expm1.f64 b) 2) (-.f64 4 (*.f64 2 (expm1.f64 b)))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 3 (exp.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (exp.f64 b) -3))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (/.f64 1 (+.f64 4 (.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(/.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3)) (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (neg.f64 (-.f64 2 (expm1.f64 b))))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 3 (exp.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (exp.f64 b) -3))
(/.f64 (-.f64 (pow.f64 (expm1.f64 b) 2) 4) (-.f64 (expm1.f64 b) 2))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 2 (expm1.f64 b)))
(/.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2)) (-.f64 3 (exp.f64 b)))
(/.f64 (fma.f64 (expm1.f64 b) (expm1.f64 b) -4) (+.f64 (exp.f64 b) -3))
(pow.f64 (+.f64 2 (expm1.f64 b)) 1)
(+.f64 1 (exp.f64 b))
(pow.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) 3) 1/3)
(+.f64 1 (exp.f64 b))
(pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b))) 3)
(+.f64 1 (exp.f64 b))
(pow.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) 2)
(+.f64 1 (exp.f64 b))
(sqrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) 2))
(+.f64 1 (exp.f64 b))
(log.f64 (exp.f64 (+.f64 2 (expm1.f64 b))))
(+.f64 1 (exp.f64 b))
(cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) 3))
(+.f64 1 (exp.f64 b))
(expm1.f64 (log1p.f64 (+.f64 2 (expm1.f64 b))))
(+.f64 1 (exp.f64 b))
(log1p.f64 (expm1.f64 (+.f64 2 (expm1.f64 b))))
(+.f64 1 (exp.f64 b))
(exp.f64 (log.f64 (+.f64 2 (expm1.f64 b))))
(+.f64 1 (exp.f64 b))
(fma.f64 1 (expm1.f64 b) 2)
(+.f64 1 (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)) 2)
(+.f64 1 (exp.f64 b))
(fma.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)) 2)
(+.f64 1 (exp.f64 b))

localize6.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 b 2))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`pow1_binary64`
573×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
563×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1573	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(/.f64 1 (+.f64 b 2))

Outputs

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

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

593×	`fma-neg_binary64`
490×	`fma-def_binary64`
324×	`fabs-mul_binary64`
310×	`exp-prod_binary64`
305×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	474
1	237	409
2	642	346
3	2895	340
4	6529	340

Stop Event

1×	node limit

Counts

34 → 56

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 b b))
✓	0.0b	(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
✓	0.6b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite74.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`log-prod_binary64`
422×	`fma-def_binary64`
359×	`exp-prod_binary64`
306×	`pow-prod-down_binary64`
271×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	224	32
2	2978	32

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b)))
(.f64 1/2 (.f64 b b))

Outputs

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

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

simplify114.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

525×	`unswap-sqr_binary64`
326×	`associate-/l*_binary64`
250×	`cancel-sign-sub-inv_binary64`
225×	`sqr-pow_binary64`
189×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	3356
1	959	3107
2	2827	3069

Stop Event

1×	node limit

Counts

198 → 268

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (.f64 -1/32 (pow.f64 b 4)) (+.f64 (.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(/.f64 2 (pow.f64 b 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(/.f64 2 (pow.f64 b 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 0 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 1)
(.f64 1 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))
(.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))) 1)
(.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)) -1/2) (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2))
(.f64 -1 (/.f64 1 (neg.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))
(.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))) (fma.f64 (.f64 b (.f64 b 1/2)) (-.f64 (.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 1/4 (pow.f64 b 4)))) (+.f64 (+.f64 b 2) (.f64 -1/2 (.f64 b b))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))) -2) (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1)
(pow.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 3)
(pow.f64 (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2) 2)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))))
(sqrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))))
(cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(exp.f64 (.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)) -3)) 1/3))
(exp.f64 (.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 b 2) 2) (+.f64 (+.f64 b 2) (.f64 -1/2 (.f64 b b)))) (/.f64 (.f64 1/4 (pow.f64 b 4)) (+.f64 (+.f64 b 2) (.f64 -1/2 (*.f64 b b)))))
(.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))
(.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)) 1)
(.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)) 2)) (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(.f64 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))) (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3)) (/.f64 1 (fma.f64 (.f64 b (.f64 b 1/2)) (-.f64 (.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2))))
(.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 1/4 (pow.f64 b 4))) (/.f64 1 (+.f64 (+.f64 b 2) (.f64 -1/2 (.f64 b b)))))
(/.f64 1 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(/.f64 1 (/.f64 (fma.f64 (.f64 b (.f64 b 1/2)) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)) (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 b 2) (.f64 -1/2 (.f64 b b))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4)))))
(/.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 1)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))
(/.f64 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))) (pow.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)) -1/2))
(/.f64 (neg.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -1)
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3)) (fma.f64 (.f64 b (.f64 b 1/2)) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3)) (fma.f64 1/4 (pow.f64 b 4) (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 (+.f64 b 2) (.f64 b (*.f64 b 1/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 1/4 (pow.f64 b 4))) (+.f64 (+.f64 b 2) (.f64 -1/2 (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))) (neg.f64 (fma.f64 (.f64 b (.f64 b 1/2)) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (.f64 1/4 (pow.f64 b 4)))) (neg.f64 (+.f64 (+.f64 b 2) (.f64 -1/2 (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b (.f64 b 1/2) 2) 3)) (fma.f64 b b (-.f64 (pow.f64 (fma.f64 b (.f64 b 1/2) 2) 2) (.f64 b (fma.f64 b (.f64 b 1/2) 2)))))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (fma.f64 b (.f64 b 1/2) 2) 2)) (-.f64 b (fma.f64 b (*.f64 b 1/2) 2)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 b 4)) (pow.f64 (+.f64 b 2) 2)) (-.f64 (.f64 b (*.f64 b 1/2)) (+.f64 b 2)))
(pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 1)
(pow.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -1)
(pow.f64 (E.f64) (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -3) -1/3)
(pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) -3)
(pow.f64 (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2) -2)
(pow.f64 (/.f64 (fma.f64 (.f64 b (.f64 b 1/2)) (-.f64 (.f64 b (.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)) (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))) -1)
(pow.f64 (/.f64 (+.f64 (+.f64 b 2) (.f64 -1/2 (.f64 b b))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))) (sqrt.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))
(sqrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2))
(log.f64 (exp.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (fma.f64 b (.f64 b 1/2) 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 2))) (pow.f64 (sqrt.f64 (exp.f64 b)) b)))
(log.f64 (.f64 (exp.f64 (+.f64 b 2)) (+.f64 1 (expm1.f64 (.f64 b (*.f64 b 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 b 2))) (+.f64 1 (expm1.f64 (.f64 b (*.f64 b 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b (*.f64 b 1/2)))) (exp.f64 (+.f64 b 2))))
(log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b) (+.f64 1 (expm1.f64 (+.f64 b 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b (*.f64 b 1/2)))) (+.f64 1 (expm1.f64 (+.f64 b 2)))))
(log.f64 (.f64 (exp.f64 (fma.f64 b (.f64 b 1/2) 2)) (+.f64 1 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(log1p.f64 (expm1.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(exp.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(exp.f64 (.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1) 1))
(fma.f64 1 b (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 1 b (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(fma.f64 1 (+.f64 b 2) (.f64 b (.f64 b 1/2)))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 b 2))
(fma.f64 1 (fma.f64 b (*.f64 b 1/2) 2) b)
(fma.f64 b 1 (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 b 1 (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(fma.f64 b (*.f64 b 1/2) (+.f64 b 2))
(fma.f64 (+.f64 b 2) 1 (.f64 b (.f64 b 1/2)))
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2))
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2))
(fma.f64 (.f64 b (.f64 b 1/2)) 1 (+.f64 b 2))
(fma.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (*.f64 b 1/2))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (cbrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(fma.f64 (.f64 (cbrt.f64 b) b) (.f64 (pow.f64 (cbrt.f64 b) 2) 1/2) (+.f64 b 2))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 b 2))
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(fma.f64 (+.f64 8 (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b 4) (.f64 b 2))) (.f64 b (*.f64 b 1/2)))
(fma.f64 (fma.f64 b b -4) (/.f64 1 (+.f64 b -2)) (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) 2)) 2) (cbrt.f64 (fma.f64 b (.f64 b 1/2) 2)) b)
(fma.f64 (sqrt.f64 (fma.f64 b (.f64 b 1/2) 2)) (sqrt.f64 (fma.f64 b (.f64 b 1/2) 2)) b)
(fma.f64 (sqrt.f64 (.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (fma.f64 b (.f64 b 1/2) 2))
(fma.f64 (sqrt.f64 (.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(fma.f64 (.f64 1/2 (.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (+.f64 b 2))
(fma.f64 (.f64 (.f64 b 1/2) 1) b (+.f64 b 2))
(fma.f64 (.f64 (.f64 b 1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (+.f64 b 2))
(fma.f64 (.f64 (.f64 b 1/2) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 b 2))
(+.f64 0 (.f64 b (.f64 b 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(pow.f64 (E.f64) (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(pow.f64 (*.f64 1/4 (pow.f64 b 4)) 1/2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (*.f64 1/8 (pow.f64 b 6)) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))) (sqrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2))))
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(cbrt.f64 (*.f64 1/8 (pow.f64 b 6)))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 b (*.f64 b 1/2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 b (sqrt.f64 1/2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 b 6))) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)) 1) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)) 3) 1/3))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 b 3)) (.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/16 (pow.f64 b 3))))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/16 (pow.f64 b 3)))
(+.f64 1/2 (+.f64 (.f64 -1/32 (pow.f64 b 4)) (+.f64 (.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))) (/.f64 -32 (pow.f64 b 6))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (.f64 32 (/.f64 1 (pow.f64 b 6))) (.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))) (/.f64 -32 (pow.f64 b 6))))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 1/2 b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 1/2 b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 0 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (+.f64 2 (fma.f64 b (*.f64 1/2 b) b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 1/2 (.f64 b b) 2)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 1/2 b) b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 1/2 (.f64 b b) 2)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 1/2 b) b)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 1)
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(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
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(.f64 1 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))
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(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
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(.f64 (/.f64 1 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))) 1)
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(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
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(.f64 (pow.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (.f64 b b) 2)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) 3) -1/6))
(.f64 (pow.f64 (pow.f64 (+.f64 2 (fma.f64 b (.f64 1/2 b) b)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 2 (fma.f64 b (*.f64 1/2 b) b)) 3) -1/6))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 2 (fma.f64 b (.f64 1/2 b) b))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 2 (fma.f64 b (.f64 1/2 b) b))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 1/2 (.f64 b b) 2)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 1/2 (.f64 b b) 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 2 (fma.f64 b (.f64 1/2 b) b)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 2 (fma.f64 b (.f64 1/2 b) b))))))
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(.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)) 1)
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(.f64 (cbrt.f64 (+.f64 b (fma.f64 1/2 (.f64 b b) 2))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) 2)))
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(.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 1/2 b) 2))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) 2)))
(.f64 (cbrt.f64 (+.f64 b (fma.f64 1/2 (.f64 b b) 2))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) 2)))
(.f64 (cbrt.f64 (+.f64 2 (fma.f64 b (.f64 1/2 b) b))) (cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 b (*.f64 1/2 b) b)) 2)))
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(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
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(cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 3))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(expm1.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(log1p.f64 (expm1.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(exp.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(exp.f64 (.f64 (log.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2))) 1))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1/3))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))) 3))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 b (fma.f64 b (.f64 b 1/2) 2)))) 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1) 1))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 1 b (fma.f64 b (*.f64 b 1/2) 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 1 b (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 1 (+.f64 b 2) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 1 (fma.f64 b (*.f64 b 1/2) 2) b)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 b 1 (fma.f64 b (*.f64 b 1/2) 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 b 1 (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 b (*.f64 b 1/2) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (+.f64 b 2) 1 (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (.f64 b (.f64 b 1/2)) 1 (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 b b))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b 2))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (*.f64 b 1/2))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 b b))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b 2))
(fma.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (.f64 1/2 (.f64 b b)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (cbrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (.f64 1/2 (.f64 b b)))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (fma.f64 b (*.f64 b 1/2) 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (fma.f64 b (*.f64 b 1/2) 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (.f64 (cbrt.f64 b) b) (.f64 (pow.f64 (cbrt.f64 b) 2) 1/2) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (fma.f64 b (*.f64 b 1/2) 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 (fma.f64 b (.f64 b 1/2) 2) 1))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (+.f64 8 (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b 4) (.f64 b 2))) (.f64 b (*.f64 b 1/2)))
(fma.f64 (+.f64 (pow.f64 b 3) 8) (/.f64 1 (-.f64 (fma.f64 b b 4) (.f64 b 2))) (.f64 1/2 (*.f64 b b)))
(fma.f64 (+.f64 (pow.f64 b 3) 8) (/.f64 1 (+.f64 (fma.f64 b b 4) (.f64 b -2))) (.f64 1/2 (*.f64 b b)))
(+.f64 (.f64 1/2 (.f64 b b)) (/.f64 (+.f64 (pow.f64 b 3) 8) (+.f64 (fma.f64 b b 4) (*.f64 b -2))))
(fma.f64 (fma.f64 b b -4) (/.f64 1 (+.f64 b -2)) (.f64 b (.f64 b 1/2)))
(fma.f64 (fma.f64 b b -4) (/.f64 1 (+.f64 b -2)) (.f64 1/2 (.f64 b b)))
(+.f64 (.f64 1/2 (.f64 b b)) (/.f64 (fma.f64 b b -4) (+.f64 b -2)))
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) 2)) 2) (cbrt.f64 (fma.f64 b (.f64 b 1/2) 2)) b)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (sqrt.f64 (fma.f64 b (.f64 b 1/2) 2)) (sqrt.f64 (fma.f64 b (.f64 b 1/2) 2)) b)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (sqrt.f64 (.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (fma.f64 b (.f64 b 1/2) 2))
(fma.f64 (sqrt.f64 (.f64 b (cbrt.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (fma.f64 b (.f64 1/2 b) 2))
(fma.f64 (sqrt.f64 (.f64 b (cbrt.f64 b))) (fabs.f64 (cbrt.f64 b)) (fma.f64 1/2 (.f64 b b) 2))
(fma.f64 (sqrt.f64 (.f64 b (cbrt.f64 b))) (cbrt.f64 b) (fma.f64 1/2 (.f64 b b) 2))
(fma.f64 (sqrt.f64 (.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(fma.f64 (sqrt.f64 (.f64 b (cbrt.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (fma.f64 b (.f64 1/2 b) 2))
(fma.f64 (sqrt.f64 (.f64 b (cbrt.f64 b))) (fabs.f64 (cbrt.f64 b)) (fma.f64 1/2 (.f64 b b) 2))
(fma.f64 (sqrt.f64 (.f64 b (cbrt.f64 b))) (cbrt.f64 b) (fma.f64 1/2 (.f64 b b) 2))
(fma.f64 (.f64 1/2 (.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (.f64 (.f64 b 1/2) 1) b (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (.f64 (.f64 b 1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(fma.f64 (.f64 (.f64 b 1/2) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 b 2))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 2 (fma.f64 b (*.f64 1/2 b) b))
(+.f64 0 (.f64 b (.f64 b 1/2)))
(.f64 1/2 (.f64 b b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))))
(*.f64 b (log.f64 (sqrt.f64 (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(.f64 1/2 (.f64 b b))
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(.f64 1/2 (.f64 b b))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(exp.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(.f64 (.f64 b b) (exp.f64 (log1p.f64 -1/2)))
(pow.f64 (*.f64 1/4 (pow.f64 b 4)) 1/2)
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(.f64 1/2 (.f64 b b))
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 b b))
(pow.f64 (*.f64 1/8 (pow.f64 b 6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))) (sqrt.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2))))
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b))))
(*.f64 b (log.f64 (sqrt.f64 (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(.f64 1/2 (.f64 b b))
(cbrt.f64 (*.f64 1/8 (pow.f64 b 6)))
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))
(.f64 1/2 (.f64 b b))
(exp.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(.f64 (.f64 b b) (exp.f64 (log1p.f64 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)) 1))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(exp.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(.f64 (.f64 b b) (exp.f64 (log1p.f64 -1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 b (*.f64 b 1/2)))) 3))
(.f64 1/2 (.f64 b b))
(exp.f64 (.f64 (log.f64 (.f64 b (sqrt.f64 1/2))) 2))
(.f64 1/2 (.f64 b b))
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 b 6))) 1/3))
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)) 1) 1))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(exp.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(.f64 (.f64 b b) (exp.f64 (log1p.f64 -1/2)))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)) 3) 1/3))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(exp.f64 (fma.f64 2 (log.f64 b) (log1p.f64 -1/2)))
(.f64 (.f64 b b) (exp.f64 (log1p.f64 -1/2)))

eval147.0ms (2.9%)

Compiler: Compiled 6752 to 4926 computations (27% saved)

prune80.0ms (1.6%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	449	4	453
Fresh	0	3	3
Picked	0	1	1
Done	0	4	4
Total	449	12	461

Error

Counts

461 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.2b	(/.f64 (exp.f64 a) 2)
▶	51.6b	(/.f64 2 (*.f64 b b))
	28.5b	(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
✓	29.0b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
▶	51.4b	(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
✓	39.3b	(/.f64 1 (+.f64 b 2))
✓	10.5b	(/.f64 1 (+.f64 2 (expm1.f64 b)))
▶	61.7b	(/.f64 1 b)
▶	22.8b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
✓	37.8b	(+.f64 1/2 (*.f64 1/4 a))
✓	39.6b	(+.f64 1/2 (*.f64 -1/4 b))
	38.0b	1/2

Compiler

Compiled 147 to 118 computations (19.7% saved)

localize4.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 2 (*.f64 b b))

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 2 (*.f64 b b))
0.0ms	b	@	inf	(/.f64 2 (*.f64 b b))
0.0ms	b	@	-inf	(/.f64 2 (*.f64 b b))

rewrite35.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`pow1_binary64`
479×	`add-sqr-sqrt_binary64`
458×	`add-log-exp_binary64`
458×	`log1p-expm1-u_binary64`
458×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1297	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 2 (*.f64 b b))

Outputs

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

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

614×	`log-prod_binary64`
557×	`associate-/r*_binary64`
323×	`associate-l_binary64`
305×	`associate-r_binary64`
299×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	233
1	125	233
2	406	233
3	2601	233

Stop Event

1×	node limit

Counts

33 → 24

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 b 2))
✓	0.0b	(+.f64 1 (/.f64 1 (+.f64 b 2)))
✓	1.6b	(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
890×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	190	17
2	2691	17

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(+.f64 1 (/.f64 1 (+.f64 b 2)))

Outputs

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

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

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Rules

838×	`times-frac_binary64`
486×	`distribute-rgt-in_binary64`
429×	`distribute-lft-in_binary64`
414×	`cancel-sign-sub-inv_binary64`
367×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	1702
1	543	1643
2	1866	1639

Stop Event

1×	node limit

Counts

108 → 149

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 b b))
✓	0.0b	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	0.6b	(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))

Compiler

Compiled 29 to 15 computations (48.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`pow1_binary64`
786×	`add-log-exp_binary64`
785×	`log1p-expm1-u_binary64`
785×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	172	19
2	2250	19

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 b (.f64 1/2 (.f64 b b)))

Outputs

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

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

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
633×	`unswap-sqr_binary64`
406×	`fma-def_binary64`
368×	`associate-/r*_binary64`
280×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	1369
1	452	1218
2	1525	1164
3	7593	1163

Stop Event

1×	node limit

Counts

90 → 114

Calls

Call 1

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

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

eval116.0ms (2.3%)

Compiler: Compiled 5302 to 4078 computations (23.1% saved)

prune61.0ms (1.2%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	371	4	375
Fresh	0	2	2
Picked	1	0	1
Done	2	7	9
Total	374	13	387

Error

Counts

387 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.2b	(/.f64 (exp.f64 a) 2)
✓	51.6b	(/.f64 2 (*.f64 b b))
	28.5b	(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
✓	29.0b	(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
✓	10.5b	(/.f64 1 (+.f64 2 (expm1.f64 b)))
	51.4b	(/.f64 1 (.f64 (+.f64 (.f64 b 1/2) 1) b))
✓	61.7b	(/.f64 1 b)
	62.3b	(-.f64 (/.f64 1 b) 1/2)
	34.1b	(-.f64 1 1)
✓	37.8b	(+.f64 1/2 (*.f64 1/4 a))
✓	39.6b	(+.f64 1/2 (*.f64 -1/4 b))
	52.0b	(*.f64 (/.f64 2 b) (/.f64 1 b))
	38.0b	1/2

Compiler

Compiled 99 to 81 computations (18.2% saved)

regimes38.0ms (0.8%)

Counts

23 → 1

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 (/.f64 1 b) 1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (.f64 (+.f64 (.f64 b 1/2) 1) b))
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Calls

5 calls:

11.0ms	a
11.0ms	b
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 b)
3.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0.0b	1	`(exp.f64 a)`
0.0b	1	`(exp.f64 b)`

Compiler

Compiled 190 to 115 computations (39.5% saved)

regimes67.0ms (1.3%)

Counts

18 → 3

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 (/.f64 1 b) 1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (.f64 (+.f64 (.f64 b 1/2) 1) b))
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))

Outputs
(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 2 (expm1.f64 b)))

Calls

5 calls:

25.0ms	b
17.0ms	a
10.0ms	(exp.f64 b)
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.4b	2	`a`
0.3b	3	`b`
0.4b	2	`(exp.f64 a)`
0.3b	3	`(exp.f64 b)`
0.3b	3	`(exp.f64 b)`

Compiler

Compiled 129 to 93 computations (27.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000018141613	5.446279605245157
0.0ms	0.48817706921520976	1.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes62.0ms (1.2%)

Counts

17 → 3

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 (/.f64 1 b) 1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (.f64 (+.f64 (.f64 b 1/2) 1) b))
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 2 (expm1.f64 b)))

Calls

5 calls:

25.0ms	b
18.0ms	a
5.0ms	(exp.f64 b)
5.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.4b	2	`a`
0.3b	3	`b`
0.4b	2	`(exp.f64 a)`
0.3b	3	`(exp.f64 b)`
0.3b	3	`(exp.f64 b)`

Compiler

Compiled 120 to 88 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000018141613	5.446279605245157
0.0ms	0.48817706921520976	1.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes60.0ms (1.2%)

Counts

16 → 2

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 (/.f64 1 b) 1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (.f64 (+.f64 (.f64 b 1/2) 1) b))
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 2 (expm1.f64 b)))

Outputs
(-.f64 1 1)
(/.f64 1 (+.f64 2 (expm1.f64 b)))

Calls

5 calls:

24.0ms	b
17.0ms	a
6.0ms	(exp.f64 b)
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.4b	2	`a`
0.6b	3	`b`
0.4b	2	`(exp.f64 a)`
0.6b	3	`(exp.f64 b)`
0.6b	3	`(exp.f64 b)`

Compiler

Compiled 113 to 85 computations (24.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999879971473682

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes53.0ms (1.1%)

Counts

15 → 2

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 (/.f64 1 b) 1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (.f64 (+.f64 (.f64 b 1/2) 1) b))
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))

Outputs
(-.f64 1 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))

Calls

4 calls:

23.0ms	b
16.0ms	a
6.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.4b	2	`a`
0.6b	3	`b`
0.4b	2	`(exp.f64 a)`
0.6b	3	`(exp.f64 b)`

Compiler

Compiled 103 to 77 computations (25.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999879971473682

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes38.0ms (0.8%)

Counts

14 → 2

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 (/.f64 1 b) 1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (.f64 (+.f64 (.f64 b 1/2) 1) b))
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))
(/.f64 (exp.f64 a) 2)

Outputs
(/.f64 (exp.f64 a) 2)
(-.f64 1 1)

Calls

3 calls:

16.0ms	a
15.0ms	b
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
12.5b	2	`a`
10.1b	2	`b`
12.5b	2	`(exp.f64 a)`

Compiler

Compiled 93 to 69 computations (25.8% saved)

bsearch13.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	15.480590307282677	488.3235843504201

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 106 to 94 computations (11.3% saved)

regimes33.0ms (0.7%)

Counts

13 → 2

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 (/.f64 1 b) 1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (.f64 (+.f64 (.f64 b 1/2) 1) b))
(/.f64 1 (+.f64 b (.f64 1/2 (.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (.f64 1/2 (.f64 b b))))

Outputs
(-.f64 1 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)

Calls

2 calls:

15.0ms	b
15.0ms	a

Results

Error	Segments	Branch
12.6b	2	`a`
19.3b	2	`b`

Compiler

Compiled 85 to 63 computations (25.9% saved)

bsearch5.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
5.0ms	-1.421566647657954e-6	-1.1395132324030744e-6

Results

5.0ms

48×

body

256

valid

Compiler

Compiled 69 to 61 computations (11.6% saved)

regimes31.0ms (0.6%)

Counts

9 → 2

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 (/.f64 1 b) 1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 b) (/.f64 1 b))

Outputs
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1 1)

Calls

2 calls:

16.0ms	a
13.0ms	b

Results

Error	Segments	Branch
21.9b	2	`a`
19.3b	2	`b`

Compiler

Compiled 47 to 36 computations (23.4% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	2.6205565114909917e-52	2.498034935325381e-51

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 99 to 88 computations (11.1% saved)

regimes17.0ms (0.3%)

Accuracy

Total -43.0b remaining (-219%)

Threshold costs -43.0b (-219%)

Counts

4 → 2

Calls

Call 1

Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))

Outputs
1/2
(-.f64 1 1)

Calls

2 calls:

8.0ms	b
8.0ms	a

Results

Error	Segments	Branch
22.2b	2	`a`
19.6b	2	`b`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	2.6205565114909917e-52	2.498034935325381e-51

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 75 to 70 computations (6.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	200
1	62	200
2	63	200

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 1/2) (/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(if (<=.f64 (exp.f64 b) 1/2) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 2 (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b 350) (/.f64 (exp.f64 a) 2) (-.f64 1 1))
(if (<=.f64 a -6611313076017503/4722366482869645213696) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 8256483666814883/3369993333393829974333376885877453834204643052817571560137951281152) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1))
(if (<=.f64 b 8256483666814883/3369993333393829974333376885877453834204643052817571560137951281152) 1/2 (-.f64 1 1))
1/2

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 1/2) (/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(if (<=.f64 (exp.f64 b) 1/2) (/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (expm1.f64 b) 2))))
(if (<=.f64 (exp.f64 b) 1/2) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 2 (expm1.f64 b)))))
(if (<=.f64 (exp.f64 b) 1/2) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (expm1.f64 b) 2))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 2 (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) 0 (/.f64 1 (+.f64 (expm1.f64 b) 2)))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) 0 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b 350) (/.f64 (exp.f64 a) 2) (-.f64 1 1))
(if (<=.f64 b 350) (/.f64 (exp.f64 a) 2) 0)
(if (<=.f64 a -6611313076017503/4722366482869645213696) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 a -6611313076017503/4722366482869645213696) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 b 8256483666814883/3369993333393829974333376885877453834204643052817571560137951281152) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1))
(if (<=.f64 b 8256483666814883/3369993333393829974333376885877453834204643052817571560137951281152) (+.f64 1/2 (*.f64 a 1/4)) 0)
(if (<=.f64 b 8256483666814883/3369993333393829974333376885877453834204643052817571560137951281152) 1/2 (-.f64 1 1))
(if (<=.f64 b 8256483666814883/3369993333393829974333376885877453834204643052817571560137951281152) 1/2 0)
1/2

Compiler

Compiled 153 to 118 computations (22.9% saved)

soundness0.0ms (0%)

end76.0ms (1.5%)

Compiler: Compiled 135 to 90 computations (33.3% saved)