Details

analyze171.0ms (1%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
50%	50%	50%	0.1%	0%	0%	0%	6
50%	50%	50%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
50%	50%	50%	0.1%	0%	0%	0%	9
50%	50%	50%	0.1%	0%	0%	0%	10
50%	50%	50%	0.1%	0%	0%	0%	11
50%	50%	50%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample10.8s (65.2%)

Results

8.5s	7772×	body	8192	exit
1.1s	1962×	body	1024	valid
654.0ms	5104×	body	256	valid
283.0ms	978×	body	512	valid
162.0ms	212×	body	2048	valid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	11	38
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% 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

29.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	5.1b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series85.0ms (0.5%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`add-sqr-sqrt`
1792×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1644×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	177	34
2	2227	34

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-def`
1004×	`unswap-sqr`
902×	`distribute-lft-in`
844×	`distribute-rgt-in`
516×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350

Stop Event

1×	node limit

Counts

74 → 115

Calls

Call 1

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

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

eval31.0ms (0.2%)

Compiler: Compiled 1984 to 1041 computations (47.5% saved)

prune54.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Error

0.6b

Counts

116 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	2.5b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶	31.4b	(log1p.f64 (exp.f64 b))
▶	31.4b	(log1p.f64 (exp.f64 a))
▶	30.7b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓	29.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	30.4b	(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
▶	30.4b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 144 to 106 computations (26.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
✓	0.0b	(+.f64 1 (exp.f64 a))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series42.0ms (0.3%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
12.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
0.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1068×	`*-commutative`
988×	`associate-*l/`
918×	`associate-/r*`
676×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	229	42
2	3055	42

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

Inputs
(+.f64 1 (exp.f64 a))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

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

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

simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

796×	`associate-+l+`
794×	`+-commutative`
728×	`associate-+r+`
476×	`distribute-lft-neg-in`
456×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	10235
1	1289	9835
2	5290	9733

Stop Event

1×	node limit

Counts

183 → 260

Calls

Call 1

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

Outputs
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.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 2 a) (.f64 1/6 (pow.f64 a 3))))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (-.f64 (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 1 (exp.f64 a)) 0)
(+.f64 1 (exp.f64 a))
(+.f64 2 (expm1.f64 a))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 1)
(+.f64 1 (exp.f64 a))
(+.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 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (+.f64 -1 (exp.f64 a)))
(/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (expm1.f64 a))
(-.f64 (+.f64 2 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(+.f64 2 (expm1.f64 a))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(+.f64 2 (expm1.f64 a))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(+.f64 2 (expm1.f64 a))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (+.f64 -1 (exp.f64 a)))
(/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (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)) (+.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 (-.f64 1 (exp.f64 a))) (-.f64 1 (pow.f64 (exp.f64 a) 2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (+.f64 -1 (exp.f64 a)))
(/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (expm1.f64 a))
(.f64 (/.f64 1 (+.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 (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 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 2 (expm1.f64 a))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (+.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (fma.f64 (exp.f64 a) (exp.f64 a) (exp.f64 a))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a))))) (-.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (.f64 (pow.f64 (exp.f64 a) 2) (.f64 (expm1.f64 a) (expm1.f64 a))))) (-.f64 1 (.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 3))) (-.f64 (+.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a)))) (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (-.f64 (.f64 (pow.f64 (exp.f64 a) 2) (.f64 (expm1.f64 a) (expm1.f64 a))) (.f64 (exp.f64 a) (expm1.f64 a))))) (+.f64 1 (pow.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) 3)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 (+.f64 1 (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 3)) (+.f64 1 (.f64 (expm1.f64 a) (-.f64 (*.f64 (expm1.f64 a) (pow.f64 (exp.f64 a) 2)) (exp.f64 a))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 (+.f64 1 (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 3)) (+.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (+.f64 (.f64 (exp.f64 a) (expm1.f64 a)) -1)))))
(/.f64 1 (/.f64 -1 (-.f64 -1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(+.f64 2 (expm1.f64 a))
(/.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(+.f64 2 (expm1.f64 a))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 1 (exp.f64 a))
(+.f64 2 (expm1.f64 a))
(/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 a)) 2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (+.f64 -1 (exp.f64 a)))
(/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (expm1.f64 a))
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(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 -1 (-.f64 -1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))

localize5.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series27.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
15.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
12.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-r`
840×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
784×	`pow1`
766×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1063	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 b))

Outputs

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-r`
1122×	`associate-l`
822×	`associate-+l+`
800×	`associate-+r+`
796×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	536
1	176	532
2	593	532
3	3646	502
4	6980	502

Stop Event

1×	node limit

Counts

36 → 43

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5/2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 4))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 b) 1))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (+.f64 1 b))
✓	3.1b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series61.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
11.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`associate-*r/`
886×	`*-commutative`
796×	`distribute-lft-in`
756×	`distribute-rgt-in`
668×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	204	38
2	2669	32

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))

Outputs

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

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

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-*r/`
1260×	`associate-*l/`
1094×	`+-commutative`
378×	`associate-r`
368×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	400	7044
1	1136	6662
2	4770	6662

Stop Event

1×	node limit

Counts

168 → 246

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	0.0b	(.f64 1/2 (.f64 b b))
✓	0.0b	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	3.1b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series34.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
17.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
14.0ms	a	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
1.0ms	a	@	0	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
0.0ms	b	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-*r/`
1380×	`associate-*l/`
602×	`associate-+l+`
382×	`associate-+r+`
350×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	299	88
2	4054	88

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

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

simplify164.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-+r-`
1018×	`associate--r+`
744×	`associate-+l-`
584×	`fma-def`
532×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	11950
1	1437	11330
2	5867	11330

Stop Event

1×	node limit

Counts

248 → 315

Calls

Call 1

Inputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 16 (.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b))))))
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(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
b
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(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) 3)) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a)))))) (+.f64 1 (-.f64 (.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))))
(pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 b 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) (-.f64 1 b))
(-.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (.f64 b (.f64 b 1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b))) 1)
(-.f64 (/.f64 (.f64 b b) (+.f64 b (.f64 -1/2 (.f64 b b)))) (/.f64 (.f64 1/4 (pow.f64 b 4)) (+.f64 b (.f64 -1/2 (.f64 b b)))))
(-.f64 (+.f64 b (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))) 1)
(-.f64 (+.f64 (.f64 b (.f64 b 1/2)) (exp.f64 (log1p.f64 b))) 1)
(.f64 1 (fma.f64 1/2 (.f64 b b) b))
(.f64 b (+.f64 1 (.f64 b 1/2)))
(.f64 (fma.f64 1/2 (.f64 b b) b) 1)
(.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(.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 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) (/.f64 1 (+.f64 b (.f64 -1/2 (*.f64 b b)))))
(.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(.f64 (+.f64 1 (.f64 b 1/2)) b)
(/.f64 1 (/.f64 (+.f64 b (.f64 -1/2 (.f64 b b))) (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))))
(/.f64 1 (/.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))) (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))))
(/.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) (+.f64 b (.f64 -1/2 (.f64 b b))))
(/.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 b b)) (-.f64 (.f64 b (.f64 b 1/2)) b))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (neg.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (neg.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 1 (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 b b))) (-.f64 (.f64 b (*.f64 b 1/2)) b))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))) (neg.f64 (+.f64 b (.f64 -1/2 (*.f64 b b)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (neg.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) b)) (sqrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))) (sqrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) b)) (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (cbrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))) (cbrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) 1) (+.f64 b (.f64 -1/2 (*.f64 b b))))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) 1) (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 b b)) 1) (-.f64 (.f64 b (*.f64 b 1/2)) b))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) 1) (neg.f64 (+.f64 b (.f64 -1/2 (*.f64 b b)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) 1) (neg.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4)))) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 1/4 (pow.f64 b 4)) 3)) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (.f64 (.f64 b b) (*.f64 1/4 (pow.f64 b 4))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))) (-.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (*.f64 b b) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 3)) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))) (+.f64 (pow.f64 (.f64 b b) 3) (-.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(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)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 b (.f64 b (.f64 b 1/2)))
(fma.f64 1 (.f64 b (.f64 b 1/2)) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b b) 1/2 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 b (.f64 b 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (*.f64 b 1/2))) b)
(fma.f64 (*.f64 b 1/2) b b)

Outputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
(log.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (/.f64 a (+.f64 2 (fma.f64 (.f64 b 1/2) b b))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 a (+.f64 2 (fma.f64 b (.f64 b 1/2) b))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 (.f64 b 1/2) b b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)) 2)))) (log.f64 (+.f64 2 (fma.f64 (.f64 b 1/2) b b)))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 -1 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)))))
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(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 b 6) 3) (.f64 b (pow.f64 b 8))) (.f64 (fma.f64 (.f64 1/8 (pow.f64 b 6)) (-.f64 (.f64 1/8 (pow.f64 b 6)) (pow.f64 b 3)) (pow.f64 b 6)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2)))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 2))
(fabs.f64 (fma.f64 b (*.f64 b 1/2) b))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)) 1))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1 b (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1 (.f64 b (.f64 b 1/2)) b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) b)
(+.f64 (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2) b)
(+.f64 b (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (*.f64 b 1/2))) b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 b (*.f64 b 1/2) b)

eval416.0ms (2.5%)

Compiler: Compiled 22497 to 13333 computations (40.7% saved)

prune180.0ms (1.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	851	13	864
Fresh	2	0	2
Picked	1	0	1
Done	3	2	5
Total	857	15	872

Error

0.6b

Counts

872 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	15.2b	(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (/.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))
	30.9b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	31.9b	(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
▶	32.2b	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
	31.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	2.3b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
✓	31.4b	(log1p.f64 (exp.f64 b))
✓	31.4b	(log1p.f64 (exp.f64 a))
▶	33.0b	(log.f64 (+.f64 b (+.f64 2 a)))
	31.9b	(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
	32.0b	(log.f64 (+.f64 2 b))
	63.1b	(log.f64 b)
▶	32.5b	(log.f64 2)
	2.4b	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
▶	22.7b	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

Compiler

Compiled 354 to 258 computations (27.1% saved)

localize34.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))

Compiler

Compiled 49 to 26 computations (46.9% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
0.0ms	b	@	inf	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
0.0ms	b	@	0	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
0.0ms	b	@	-inf	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
0.0ms	a	@	inf	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`associate-*l/`
970×	`associate-/r*`
894×	`distribute-lft-in`
694×	`associate-/l*`
464×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	295	48
2	3680	48

Stop Event

1×	node limit

Counts

2 → 224

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 -1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2)) (cbrt.f64 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (exp.f64 a))) (*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 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(-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 b (+.f64 4 (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b 1) 1) (/.f64 1 (+.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 2 (expm1.f64 a))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)))) (neg.f64 (-.f64 2 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)))) (neg.f64 (+.f64 4 (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 (pow.f64 (expm1.f64 a) 2) 4)) (-.f64 (expm1.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) 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simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-/l*`
988×	`associate-r`
830×	`associate-l`
664×	`*-commutative`
550×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	625	14500
1	1792	14296

Stop Event

1×	node limit

Counts

272 → 356

Calls

Call 1

Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 0)
(+.f64 1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) -1))
(+.f64 1 (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1))
(+.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1) -1)
(+.f64 -1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (expm1.f64 a))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 -1 (expm1.f64 a))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2)) (cbrt.f64 (expm1.f64 a)))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (exp.f64 a))) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4) (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4))
(-.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1) 1)
(-.f64 (+.f64 2 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)
(*.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(*.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)) (+.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (*.f64 b a))))
(+.f64 (.f64 b (+.f64 1/2 (.f64 a -1/4))) (.f64 a (.f64 a 0)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (.f64 b a)))))
(fma.f64 1/2 b (-.f64 (+.f64 (.f64 b (.f64 a -1/4)) (.f64 a (.f64 a 0))) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 0)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) -1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 1 (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1) -1)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 -1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (expm1.f64 a))))
(/.f64 b (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a))))
(*.f64 (+.f64 (expm1.f64 a) -2) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 -1 (expm1.f64 a))))
(/.f64 b (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a))))
(*.f64 (+.f64 (expm1.f64 a) -2) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))))
(.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (+.f64 2 (.f64 (sqrt.f64 (expm1.f64 a)) (neg.f64 (sqrt.f64 (expm1.f64 a))))))
(/.f64 (.f64 b (-.f64 2 (.f64 (sqrt.f64 (expm1.f64 a)) (sqrt.f64 (expm1.f64 a))))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2)) (cbrt.f64 (expm1.f64 a)))))
(.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (+.f64 2 (.f64 (cbrt.f64 (expm1.f64 a)) (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2)))))
(.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (.f64 (cbrt.f64 (expm1.f64 a)) (pow.f64 (cbrt.f64 (expm1.f64 a)) 2))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (exp.f64 a))) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (+.f64 (-.f64 2 (exp.f64 a)) 1))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (+.f64 1 (-.f64 2 (exp.f64 a))))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4) (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2))))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (.f64 (expm1.f64 a) (-.f64 (expm1.f64 a) 2))) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (expm1.f64 a) -2))))
(-.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1) 1)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(-.f64 (+.f64 2 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (+.f64 2 (expm1.f64 a)))))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (+.f64 2 (expm1.f64 a))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1 (+.f64 2 (expm1.f64 a)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b)) (/.f64 1 (+.f64 2 (expm1.f64 a))))
(*.f64 (cbrt.f64 b) (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 1 (+.f64 2 (expm1.f64 a))) b)
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (neg.f64 b) (/.f64 1 (-.f64 -2 (expm1.f64 a))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b 1) (/.f64 1 (+.f64 2 (expm1.f64 a))))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (expm1.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (*.f64 (sqrt.f64 (+.f64 2 (expm1.f64 a))) (sqrt.f64 (+.f64 2 (expm1.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))))
(/.f64 b (*.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)))
(/.f64 (/.f64 b (cbrt.f64 (+.f64 2 (expm1.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))
(/.f64 b (/.f64 (-.f64 4 (pow.f64 (expm1.f64 a) 2)) (-.f64 2 (expm1.f64 a))))
(*.f64 (+.f64 (expm1.f64 a) -2) (/.f64 b (+.f64 (pow.f64 (expm1.f64 a) 2) -4)))
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(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 2))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 b (+.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`associate-*r/`
872×	`*-commutative`
762×	`distribute-lft-in`
734×	`distribute-rgt-in`
688×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	196	17
2	2630	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(log.f64 (+.f64 b (+.f64 2 a)))

Outputs

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-+r-`
1070×	`associate-r`
1000×	`fma-def`
866×	`associate-+r+`
806×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2334
1	475	2100
2	1695	2052
3	7088	2052

Stop Event

1×	node limit

Counts

56 → 123

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`associate-*r/`
856×	`*-commutative`
756×	`associate-/r*`
634×	`associate-*l/`
576×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	190	24
2	2460	24

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

Inputs
(/.f64 a (+.f64 2 b))
(log.f64 (+.f64 2 b))

Outputs

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

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-/l*`
920×	`associate-*r/`
822×	`*-commutative`
626×	`distribute-lft-in`
566×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	3987
1	884	3589
2	2817	3523

Stop Event

1×	node limit

Counts

137 → 218

Calls

Call 1

Inputs
(*.f64 1/2 a)
(+.f64 (.f64 1/2 a) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/8 (.f64 a (pow.f64 b 2))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/8 (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1/4 (.f64 a b)) (.f64 -1/16 (*.f64 a (pow.f64 b 3))))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 -1/8 (pow.f64 b 2))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 b))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (.f64 (/.f64 a (-.f64 4 (.f64 b b))) 2) (.f64 (/.f64 a (-.f64 4 (.f64 b b))) (neg.f64 b)))
(+.f64 (.f64 (/.f64 a (+.f64 8 (pow.f64 b 3))) 4) (.f64 (/.f64 a (+.f64 8 (pow.f64 b 3))) (*.f64 b (-.f64 b 2))))
(+.f64 (.f64 (/.f64 a (+.f64 8 (pow.f64 b 3))) (.f64 b (-.f64 b 2))) (*.f64 (/.f64 a (+.f64 8 (pow.f64 b 3))) 4))
(+.f64 (.f64 2 (/.f64 a (-.f64 4 (.f64 b b)))) (.f64 (neg.f64 b) (/.f64 a (-.f64 4 (.f64 b b)))))
(+.f64 (.f64 4 (/.f64 a (+.f64 8 (pow.f64 b 3)))) (.f64 (*.f64 b (-.f64 b 2)) (/.f64 a (+.f64 8 (pow.f64 b 3)))))
(+.f64 (.f64 (.f64 b (-.f64 b 2)) (/.f64 a (+.f64 8 (pow.f64 b 3)))) (*.f64 4 (/.f64 a (+.f64 8 (pow.f64 b 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (+.f64 2 b)))) 1)
(*.f64 a (/.f64 -1 (-.f64 -2 b)))
(*.f64 (/.f64 a (+.f64 2 b)) 1)
(*.f64 1 (/.f64 a (+.f64 2 b)))
(*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) (+.f64 2 b)))
(*.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (/.f64 a (+.f64 2 b))))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (cbrt.f64 a) (+.f64 2 b)))
(*.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2))
(*.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2) (cbrt.f64 (/.f64 a (+.f64 2 b))))
(.f64 (-.f64 2 b) (/.f64 a (-.f64 4 (.f64 b b))))
(*.f64 (/.f64 -1 (-.f64 -2 b)) a)
(.f64 (+.f64 4 (.f64 b (-.f64 b 2))) (/.f64 a (+.f64 8 (pow.f64 b 3))))
(*.f64 (neg.f64 a) (/.f64 1 (-.f64 -2 b)))
(*.f64 (/.f64 (sqrt.f64 a) (+.f64 2 b)) (sqrt.f64 a))
(*.f64 (/.f64 (sqrt.f64 a) (+.f64 2 b)) (/.f64 (sqrt.f64 a) 1))
(*.f64 (/.f64 (cbrt.f64 a) (+.f64 2 b)) (pow.f64 (cbrt.f64 a) 2))
(*.f64 (/.f64 (cbrt.f64 a) (+.f64 2 b)) (/.f64 (pow.f64 (cbrt.f64 a) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 b))) (/.f64 a (sqrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 a (cbrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 a 1) (/.f64 -1 (-.f64 -2 b)))
(*.f64 (/.f64 a (sqrt.f64 (+.f64 2 b))) (/.f64 1 (sqrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 a (cbrt.f64 (+.f64 2 b))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)))
(.f64 (/.f64 1 (-.f64 4 (.f64 b b))) (*.f64 a (-.f64 2 b)))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (.f64 a (+.f64 4 (*.f64 b (-.f64 b 2)))))
(.f64 (/.f64 a (-.f64 4 (.f64 b b))) (-.f64 2 b))
(.f64 (/.f64 a (+.f64 8 (pow.f64 b 3))) (+.f64 4 (.f64 b (-.f64 b 2))))
(*.f64 (/.f64 1 (-.f64 -2 b)) (neg.f64 a))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 2 b)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 2 b))) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (+.f64 2 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 2 b))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 2 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (/.f64 a (+.f64 2 b))))
(*.f64 (/.f64 (/.f64 a 1) 1) (/.f64 -1 (-.f64 -2 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 2 b)) (cbrt.f64 a))
(.f64 (/.f64 a (neg.f64 (-.f64 4 (.f64 b b)))) (neg.f64 (-.f64 2 b)))
(.f64 (/.f64 a (+.f64 -8 (neg.f64 (pow.f64 b 3)))) (+.f64 -4 (neg.f64 (.f64 b (-.f64 b 2)))))
(.f64 (/.f64 a (-.f64 (.f64 b b) 4)) (-.f64 b 2))
(*.f64 (/.f64 1 (/.f64 (+.f64 2 b) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(.f64 (/.f64 (neg.f64 a) (neg.f64 (-.f64 4 (.f64 b b)))) (-.f64 2 b))
(.f64 (/.f64 (neg.f64 a) (+.f64 -8 (neg.f64 (pow.f64 b 3)))) (+.f64 4 (.f64 b (-.f64 b 2))))
(.f64 (/.f64 (/.f64 a 1) (neg.f64 (-.f64 4 (.f64 b b)))) (neg.f64 (-.f64 2 b)))
(.f64 (/.f64 (/.f64 a 1) (+.f64 -8 (neg.f64 (pow.f64 b 3)))) (+.f64 -4 (neg.f64 (.f64 b (-.f64 b 2)))))
(.f64 (/.f64 (/.f64 a 1) (-.f64 (.f64 b b) 4)) (-.f64 b 2))
(.f64 (/.f64 (/.f64 a (sqrt.f64 (+.f64 2 b))) (sqrt.f64 (+.f64 8 (pow.f64 b 3)))) (sqrt.f64 (+.f64 4 (.f64 b (-.f64 b 2)))))
(.f64 (/.f64 (/.f64 a (sqrt.f64 (+.f64 2 b))) (sqrt.f64 (-.f64 4 (.f64 b b)))) (sqrt.f64 (-.f64 2 b)))
(.f64 (/.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 b 3)))) (cbrt.f64 (+.f64 4 (.f64 b (-.f64 b 2)))))
(.f64 (/.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (-.f64 4 (.f64 b b)))) (cbrt.f64 (-.f64 2 b)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 a (+.f64 2 b)))) (cbrt.f64 (/.f64 a (+.f64 2 b)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 a (+.f64 2 b)))) (cbrt.f64 (/.f64 a (+.f64 2 b)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 a (+.f64 2 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 a (+.f64 2 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))))) (*.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) (sqrt.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))))))
(pow.f64 (/.f64 a (+.f64 2 b)) 1)
(pow.f64 (sqrt.f64 (/.f64 a (+.f64 2 b))) 2)
(pow.f64 (cbrt.f64 (/.f64 a (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 2 b) a) -1)
(neg.f64 (/.f64 a (-.f64 -2 b)))
(neg.f64 (/.f64 (neg.f64 a) (+.f64 2 b)))
(neg.f64 (*.f64 (/.f64 a (-.f64 -2 b)) 1))
(neg.f64 (*.f64 a (/.f64 1 (-.f64 -2 b))))
(neg.f64 (*.f64 1 (/.f64 a (-.f64 -2 b))))
(sqrt.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 2))
(log.f64 (exp.f64 (/.f64 a (+.f64 2 b))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))))
(cbrt.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (/.f64 a (+.f64 2 b))))
(exp.f64 (log.f64 (/.f64 a (+.f64 2 b))))
(log1p.f64 (expm1.f64 (/.f64 a (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) 0)
(+.f64 0 (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 b))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2))) (log.f64 (cbrt.f64 (+.f64 2 b))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 2 b)))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 2 b)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 2 b)))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 2 b)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 2 b))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) 1))
(-.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 b)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 8 (pow.f64 b 3)))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 4 (*.f64 b b)))) (log.f64 (-.f64 2 b)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 b))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 b))))
(*.f64 (log.f64 (+.f64 2 b)) 1)
(*.f64 1 (log.f64 (+.f64 2 b)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 b)))) (cbrt.f64 (log.f64 (+.f64 2 b)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 b)))) (cbrt.f64 (log.f64 (+.f64 2 b)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 b))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 b))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 b))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 b))))))
(pow.f64 (log.f64 (+.f64 2 b)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 b))))
(log1p.f64 (+.f64 b 1))

Outputs
(*.f64 1/2 a)
(+.f64 (.f64 1/2 a) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 a (.f64 (.f64 -1/4 a) b))
(fma.f64 1/2 a (.f64 a (.f64 b -1/4)))
(.f64 a (+.f64 1/2 (.f64 -1/4 b)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/8 (.f64 a (pow.f64 b 2))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 a (fma.f64 1/8 (.f64 a (.f64 b b)) (.f64 (.f64 -1/4 a) b)))
(fma.f64 1/2 a (fma.f64 -1/4 (.f64 a b) (.f64 1/8 (.f64 a (.f64 b b)))))
(fma.f64 1/2 a (.f64 b (+.f64 (.f64 a -1/4) (.f64 b (.f64 a 1/8)))))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/8 (.f64 a (pow.f64 b 2))) (+.f64 (.f64 -1/4 (.f64 a b)) (.f64 -1/16 (*.f64 a (pow.f64 b 3))))))
(fma.f64 1/2 a (fma.f64 1/8 (.f64 a (.f64 b b)) (fma.f64 -1/4 (.f64 a b) (.f64 (*.f64 -1/16 a) (pow.f64 b 3)))))
(fma.f64 1/2 a (fma.f64 1/8 (.f64 a (.f64 b b)) (fma.f64 -1/4 (.f64 a b) (.f64 a (*.f64 (pow.f64 b 3) -1/16)))))
(fma.f64 1/2 a (fma.f64 1/8 (.f64 a (.f64 b b)) (.f64 a (+.f64 (.f64 -1/4 b) (*.f64 -1/16 (pow.f64 b 3))))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b))
(fma.f64 -2 (/.f64 (/.f64 a b) b) (/.f64 a b))
(*.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 a b))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 (/.f64 a b) b) (/.f64 a b)))
(+.f64 (/.f64 a b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -2 (/.f64 4 b))))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 (/.f64 a b) b) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(+.f64 (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b)) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -2 (/.f64 4 b))))
(/.f64 a b)
(+.f64 (*.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b))
(fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b))
(fma.f64 -2 (/.f64 (/.f64 a b) b) (/.f64 a b))
(*.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 a b))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (/.f64 a b)))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 (/.f64 a b) b) (/.f64 a b)))
(+.f64 (/.f64 a b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -2 (/.f64 4 b))))
(+.f64 (.f64 4 (/.f64 a (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -8 (/.f64 a (pow.f64 b 4))) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 a (*.f64 b b)) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(fma.f64 4 (/.f64 a (pow.f64 b 3)) (fma.f64 -2 (/.f64 (/.f64 a b) b) (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b))))
(+.f64 (fma.f64 -8 (/.f64 a (pow.f64 b 4)) (/.f64 a b)) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -2 (/.f64 4 b))))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (log.f64 2) (.f64 -1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 (.f64 b b) -1/8))
(fma.f64 1/2 b (fma.f64 (*.f64 b b) -1/8 (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (+.f64 (log.f64 2) (.f64 (.f64 b b) -1/8))))
(fma.f64 1/2 b (fma.f64 (pow.f64 b 3) 1/24 (fma.f64 (*.f64 b b) -1/8 (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b)))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (-.f64 (log.f64 b) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 (/.f64 -2 b) b)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 b))) (/.f64 2 (*.f64 b b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 b))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (/.f64 2 b))
(+.f64 (/.f64 2 b) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 2 b) (log.f64 (/.f64 -1 b))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 2 b) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (/.f64 2 b) (log.f64 -1)) (-.f64 (log.f64 (/.f64 -1 b)) (/.f64 (/.f64 -2 b) b)))
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(/.f64 a (+.f64 b 2))
(neg.f64 (/.f64 a (-.f64 -2 b)))
(/.f64 (neg.f64 a) (-.f64 -2 b))
(neg.f64 (/.f64 (neg.f64 a) (+.f64 2 b)))
(/.f64 a (+.f64 b 2))
(neg.f64 (*.f64 (/.f64 a (-.f64 -2 b)) 1))
(/.f64 (neg.f64 a) (-.f64 -2 b))
(neg.f64 (/.f64 a (-.f64 -2 b)))
(neg.f64 (*.f64 a (/.f64 1 (-.f64 -2 b))))
(/.f64 (neg.f64 a) (-.f64 -2 b))
(neg.f64 (/.f64 a (-.f64 -2 b)))
(neg.f64 (*.f64 1 (/.f64 a (-.f64 -2 b))))
(/.f64 (neg.f64 a) (-.f64 -2 b))
(neg.f64 (/.f64 a (-.f64 -2 b)))
(sqrt.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 2))
(sqrt.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2))
(fabs.f64 (/.f64 a (+.f64 b 2)))
(log.f64 (exp.f64 (/.f64 a (+.f64 2 b))))
(/.f64 a (+.f64 b 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 2 b)))))
(/.f64 a (+.f64 b 2))
(cbrt.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3))
(/.f64 a (+.f64 b 2))
(expm1.f64 (log1p.f64 (/.f64 a (+.f64 2 b))))
(/.f64 a (+.f64 b 2))
(exp.f64 (log.f64 (/.f64 a (+.f64 2 b))))
(/.f64 a (+.f64 b 2))
(log1p.f64 (expm1.f64 (/.f64 a (+.f64 2 b))))
(/.f64 a (+.f64 b 2))
(+.f64 (log.f64 (+.f64 2 b)) 0)
(log.f64 (+.f64 b 2))
(+.f64 0 (log.f64 (+.f64 2 b)))
(log.f64 (+.f64 b 2))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 b))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 b 2))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 b 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 b 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 b 2))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 b 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 b 2))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 b 2))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2))) (log.f64 (cbrt.f64 (+.f64 2 b))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 b 2))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 b 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 b 2))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 2 b)))) (log.f64 (sqrt.f64 (+.f64 2 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 b 2))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 2 b)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 b 2))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 b 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 b 2))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 2 b)))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 2 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 b 2))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 2 b))) 1))
(+.f64 (log.f64 (cbrt.f64 (+.f64 b 2))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 b 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 b 2))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 b 2))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (+.f64 4 (*.f64 b (+.f64 b -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (fma.f64 b (+.f64 b -2) 4)))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 b)))) 1)
(log.f64 (+.f64 b 2))
(-.f64 (+.f64 0 (log.f64 (+.f64 8 (pow.f64 b 3)))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (+.f64 4 (*.f64 b (+.f64 b -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 b 3) 8)) (log.f64 (fma.f64 b (+.f64 b -2) 4)))
(-.f64 (+.f64 0 (log.f64 (-.f64 4 (*.f64 b b)))) (log.f64 (-.f64 2 b)))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 b))))) 1)
(log.f64 (+.f64 b 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 b 2))))
(*.f64 (log.f64 (+.f64 2 b)) 1)
(log.f64 (+.f64 b 2))
(*.f64 1 (log.f64 (+.f64 2 b)))
(log.f64 (+.f64 b 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 b 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))
(log.f64 (+.f64 b 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 b 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 b)))) (cbrt.f64 (log.f64 (+.f64 2 b)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 b)))) (cbrt.f64 (log.f64 (+.f64 2 b)))))
(log.f64 (+.f64 b 2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 b 2)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 b 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 b 2)))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 b 2))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 b))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 b))))))
(log.f64 (+.f64 b 2))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 b))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 b))))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 b 2)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 b 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 b 2)))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 b 2))))))
(pow.f64 (log.f64 (+.f64 2 b)) 1)
(log.f64 (+.f64 b 2))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)
(log.f64 (+.f64 b 2))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)
(log.f64 (+.f64 b 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)
(log.f64 (+.f64 b 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 b 2)) 2))
(fabs.f64 (log.f64 (+.f64 b 2)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))
(log.f64 (+.f64 b 2))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 b 2))
(exp.f64 (log.f64 (log.f64 (+.f64 2 b))))
(log.f64 (+.f64 b 2))
(log1p.f64 (+.f64 b 1))

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
✓	0.9b	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series34.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	a	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
14.0ms	a	@	-inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
1.0ms	a	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
1.0ms	b	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
1.0ms	b	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`associate-*r/`
1136×	`*-commutative`
1000×	`associate-*l/`
916×	`associate-/r*`
672×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	256	66
2	3244	66

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))

Outputs

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

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-+r+`
920×	`associate-/l/`
898×	`+-commutative`
826×	`associate-/r/`
382×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	10391
1	1163	9831
2	4745	9807

Stop Event

1×	node limit

Counts

159 → 238

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (log.f64 (+.f64 (.f64 1/2 b) (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) (log.f64 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 3) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 3))) (.f64 -6 (/.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)))) (+.f64 (/.f64 b (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a)))) b)))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 0)
(+.f64 0 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)
(*.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))

Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(-.f64 (fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2)))) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (log.f64 (+.f64 (.f64 1/2 b) (log.f64 2))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (*.f64 b 1/4) (fma.f64 1/2 b (log.f64 2)))) (log.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 a (+.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (*.f64 b -1/4) (fma.f64 1/2 b (log.f64 2)))) (log.f64 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (.f64 b 1/4) (fma.f64 1/2 b (log.f64 2)))) (fma.f64 1/2 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (.f64 -1/4 b)) 2) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) (.f64 2 (/.f64 (-.f64 1/8 (.f64 b 0)) (fma.f64 1/2 b (log.f64 2)))))) (log.f64 (fma.f64 1/2 b (log.f64 2)))))
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(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2))
(fabs.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) -1)))
(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))
(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))

eval479.0ms (2.9%)

Compiler: Compiled 32191 to 19361 computations (39.9% saved)

prune280.0ms (1.7%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1186	9	1195
Fresh	2	6	8
Picked	1	0	1
Done	2	4	6
Total	1191	19	1210

Error

0.6b

Counts

1210 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(/.f64 b (+.f64 2 (expm1.f64 a)))
▶	31.9b	(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
	32.6b	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 2))
▶	31.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	1.4b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b)))
✓	2.3b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
	30.7b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
✓	31.4b	(log1p.f64 (exp.f64 b))
✓	31.4b	(log1p.f64 (exp.f64 a))
	31.9b	(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
	32.0b	(log.f64 (+.f64 2 b))
	33.5b	(log.f64 (+.f64 2 a))
▶	63.1b	(log.f64 b)
✓	32.5b	(log.f64 2)
▶	2.4b	(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
	53.9b	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
	23.2b	(exp.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))
	31.9b	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
	63.0b	(exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))

Compiler

Compiled 382 to 291 computations (23.8% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b)))
✓	0.2b	(/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b))

Compiler

Compiled 43 to 23 computations (46.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b))
0.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b)))
0.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b)))
0.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b)))
0.0ms	a	@	inf	(/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`associate-/r*`
916×	`associate-/l*`
868×	`distribute-lft-in`
666×	`associate-/r/`
350×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	298	48
2	3929	48

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 2 (expm1.f64 a)) b)))

Outputs

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

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-+r+`
960×	`associate-+l+`
882×	`+-commutative`
702×	`associate-r`
570×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	8543
1	1375	8153
2	6286	8151

Stop Event

1×	node limit

Counts

187 → 224

Calls

Call 1

Inputs
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (expm1.f64 a))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 -1 (expm1.f64 a))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2)) (cbrt.f64 (expm1.f64 a)))))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (exp.f64 a))) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4) (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 b) -1))
(.f64 -1 (.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) b))
(*.f64 -1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (sqrt.f64 b)) (sqrt.f64 b))
(.f64 (.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) b) -1)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 2))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) (neg.f64 b))
(.f64 (/.f64 1 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (.f64 b (-.f64 2 (expm1.f64 a))))
(.f64 (/.f64 1 (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (.f64 b (+.f64 4 (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3)))))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (sqrt.f64 b))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -1))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (+.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b (log1p.f64 (exp.f64 a)))

Outputs
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 (.f64 -1/4 a) b))
(.f64 b (+.f64 1/2 (.f64 -1/4 a)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 (*.f64 -1/4 a) b)))
(fma.f64 1/2 b (fma.f64 -1/4 (.f64 b a) (.f64 a (*.f64 a 0))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 (.f64 -1/4 a) b))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (.f64 b a) (.f64 a (.f64 a 0))) (.f64 (pow.f64 a 3) (+.f64 (*.f64 b -1/48) 0))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 (.f64 b -1/48) 0)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (neg.f64 (expm1.f64 a))))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 -2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 (expm1.f64 a) -2))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 -1 (expm1.f64 a))))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 -2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 (expm1.f64 a) -2))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 -2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 (expm1.f64 a) -2))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 2) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 a)) 2)) (cbrt.f64 (expm1.f64 a)))))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 -2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 (expm1.f64 a) -2))
(+.f64 (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (exp.f64 a))) (.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) 1))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (+.f64 (-.f64 2 (exp.f64 a)) 1))
(/.f64 (*.f64 b (+.f64 1 (-.f64 2 (exp.f64 a)))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(/.f64 (*.f64 b (+.f64 3 (neg.f64 (exp.f64 a)))) (-.f64 4 (pow.f64 (expm1.f64 a) 2)))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4) (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (*.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 b (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4)))
(+.f64 (.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))) (*.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) 4))
(.f64 (/.f64 b (+.f64 8 (pow.f64 (expm1.f64 a) 3))) (+.f64 4 (.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3))))
(/.f64 b (/.f64 (+.f64 8 (pow.f64 (expm1.f64 a) 3)) (fma.f64 (expm1.f64 a) (+.f64 (exp.f64 a) -3) 4)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 b) -1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(.f64 -1 (.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) b))
(/.f64 (*.f64 1 (neg.f64 b)) (-.f64 -2 (expm1.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 -1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(.f64 (.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 b (+.f64 1 (exp.f64 a)))
(.f64 (.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(/.f64 b (+.f64 1 (exp.f64 a)))
(.f64 (.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) b) -1)
(/.f64 (*.f64 1 (neg.f64 b)) (-.f64 -2 (expm1.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 2))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 2)))
(/.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(*.f64 (/.f64 1 (-.f64 -2 (expm1.f64 a))) (neg.f64 b))
(/.f64 (*.f64 1 (neg.f64 b)) (-.f64 -2 (expm1.f64 a)))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(.f64 (/.f64 1 (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (.f64 b (-.f64 2 (expm1.f64 a))))
(*.f64 (/.f64 b (-.f64 4 (pow.f64 (expm1.f64 a) 2))) (-.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 -2 (expm1.f64 a)))
(*.f64 (/.f64 b (fma.f64 (expm1.f64 a) (expm1.f64 a) -4)) (+.f64 (expm1.f64 a) -2))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -4)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) 3)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (-.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 6) (.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (-.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) 3)) (*.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (fma.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (-.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (pow.f64 (log1p.f64 (exp.f64 a)) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2) 3)) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2))) (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2) 3)) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -4) (.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 6) (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) 3)) (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (+.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (+.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(fabs.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(+.f64 (*.f64 1/2 b) (log.f64 2))
0.0ms	b	@	inf	(+.f64 (*.f64 1/2 b) (log.f64 2))
0.0ms	b	@	-inf	(+.f64 (*.f64 1/2 b) (log.f64 2))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`add-sqr-sqrt`
1824×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1692×	`add-cbrt-cube`
182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	13
2	2282	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-r`
1134×	`associate-/r*`
1022×	`associate-l`
686×	`associate-+r+`
560×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1074
1	237	1044
2	812	976
3	4402	976

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 b)) 1)
✓	0.9b	(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
	1.5b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 b)) 1)
0.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 b)) 1)
0.0ms	b	@	0	(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
0.0ms	b	@	-inf	(+.f64 (log1p.f64 (exp.f64 b)) 1)
0.0ms	b	@	inf	(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`add-sqr-sqrt`
1700×	`*-un-lft-identity`
1588×	`add-cube-cbrt`
1574×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	190	24
2	2433	24

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 (log1p.f64 (exp.f64 b)) 1)

Outputs

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

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1102×	`distribute-lft-in`
1058×	`associate-/l*`
974×	`distribute-rgt-in`
720×	`unswap-sqr`
706×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	2560
1	412	2480
2	1744	2340

Stop Event

1×	node limit

Counts

102 → 114

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 1 (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2))))
(+.f64 (.f64 1/2 b) (+.f64 1 (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) 0)
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1))
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) 1))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 1))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 0) (-.f64 (log1p.f64 (exp.f64 b)) 0))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 0) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 0 (*.f64 (log1p.f64 (exp.f64 b)) 0))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(fma.f64 1 (log1p.f64 (exp.f64 b)) 0)
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) -1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) 0)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 1))
(*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)))
(.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b))))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1) 1) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 1 (log1p.f64 (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2))
(log.f64 (*.f64 (E.f64) (+.f64 (exp.f64 b) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3))
(expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)))
(fma.f64 1 (log1p.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
(fma.f64 1/2 b (+.f64 (log.f64 2) 1))
(+.f64 (log.f64 2) (fma.f64 1/2 b 1))
(+.f64 (.f64 1/2 b) (+.f64 1 (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) 1))
(+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (fma.f64 1/2 b 1))
(+.f64 (.f64 1/2 b) (+.f64 1 (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))))
(fma.f64 1/2 b (+.f64 (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))) 1))
(+.f64 (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))) (fma.f64 1/2 b 1))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 (log1p.f64 (exp.f64 b)) 0)
(log1p.f64 (exp.f64 b))
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1))
(log1p.f64 (exp.f64 b))
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)
(log1p.f64 (exp.f64 b))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) 1))
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(*.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (+.f64 2 (log1p.f64 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (-.f64 -2 (log1p.f64 (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (-.f64 (-.f64 -2 (log1p.f64 (exp.f64 b))) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))
(log1p.f64 (exp.f64 b))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (+.f64 2 (log1p.f64 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (-.f64 -2 (log1p.f64 (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (-.f64 (-.f64 -2 (log1p.f64 (exp.f64 b))) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (+.f64 2 (log1p.f64 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (-.f64 -2 (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (+.f64 2 (log1p.f64 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (-.f64 -2 (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (-.f64 (-.f64 -2 (log1p.f64 (exp.f64 b))) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (-.f64 (-.f64 -2 (log1p.f64 (exp.f64 b))) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 0) (-.f64 (log1p.f64 (exp.f64 b)) 0))
(/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 0) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 0 (*.f64 (log1p.f64 (exp.f64 b)) 0))))
(/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (+.f64 2 (log1p.f64 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (-.f64 -2 (log1p.f64 (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (-.f64 (-.f64 -2 (log1p.f64 (exp.f64 b))) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(fabs.f64 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) 1))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(fma.f64 1 (log1p.f64 (exp.f64 b)) 0)
(log1p.f64 (exp.f64 b))
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)
(log1p.f64 (exp.f64 b))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) -1)
(log1p.f64 (exp.f64 b))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) 0)
(log1p.f64 (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) -1)
(log1p.f64 (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) 0)
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 1))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1) 1) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 1 (log1p.f64 (exp.f64 b))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (/.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 3)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) 1/3)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2))
(fabs.f64 (+.f64 1 (log1p.f64 (exp.f64 b))))
(log.f64 (*.f64 (E.f64) (+.f64 (exp.f64 b) 1)))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(fma.f64 1 (log1p.f64 (exp.f64 b)) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))

✓

0.0b

(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))

✓

0.1b

(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 55 to 26 computations (52.7% saved)

series37.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	a	@	-inf	(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
15.0ms	a	@	inf	(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	a	@	0	(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	-inf	(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	0	(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`associate-*r/`
1498×	`associate-*l/`
922×	`associate-/r*`
288×	`add-sqr-sqrt`
282×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	97
1	295	97
2	3674	97

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

Inputs

(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))

(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))

(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))

Outputs

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

simplify159.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1530×	`associate-/r*`
1322×	`associate-*r/`
1092×	`associate-*l/`
944×	`+-commutative`
404×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	17472
1	1101	16834
2	4681	16754

Stop Event

1×	node limit

Counts

244 → 202

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
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(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
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(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
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(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)) (pow.f64 b 3))) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)) (pow.f64 b 3))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))))
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (log.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))))) (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 3) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 3))) (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 -6 (/.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))))))) (+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2))) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (+.f64 1 (log.f64 2)))))))) (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
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(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(+.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 0)
(+.f64 1 (+.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) -1))
(+.f64 1 (-.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 1))
(+.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) 1)) -1)
(+.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1) (+.f64 (log1p.f64 (exp.f64 a)) -1))
(+.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1) (-.f64 (log1p.f64 (exp.f64 a)) 1))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) -1))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 1))
(+.f64 -1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) 1)))
(-.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) 1)) 1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (+.f64 2 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
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(-.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))) 1)
(*.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(*.f64 1 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
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(pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) 1)))
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(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
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(-.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) 1)) 1)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (+.f64 2 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
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(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 (cbrt.f64 (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) (cbrt.f64 (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))))) (-.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) 1) (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))))))
(pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))

Outputs
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 b 1/2 (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(-.f64 (fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (.f64 a a) 1/8 (log.f64 2)))) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))
(log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))
(log1p.f64 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))))
(+.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a))))))
(+.f64 (log1p.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a))))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))))
(+.f64 (+.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a)))))) (/.f64 (.f64 -1/2 (.f64 b b)) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))))
(+.f64 (log1p.f64 (log1p.f64 (exp.f64 a))) (fma.f64 -1/2 (.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a)))))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)))))))
(+.f64 (+.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a)))))) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3))) (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2)))))
(+.f64 (log1p.f64 (log1p.f64 (exp.f64 a))) (+.f64 (fma.f64 -1/2 (.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (/.f64 b (.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (log1p.f64 (exp.f64 a)))))) (*.f64 1/3 (/.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3)))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (neg.f64 (log.f64 b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))))
(+.f64 (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (neg.f64 (log.f64 b)))) (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 b (+.f64 1 (log1p.f64 (exp.f64 a))))))
(+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 b (+.f64 1 (log1p.f64 (exp.f64 a))))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (neg.f64 (log.f64 b))))))
(+.f64 (.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (/.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) b)) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)) (pow.f64 b 3))) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))))))
(+.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 b (+.f64 1 (log1p.f64 (exp.f64 a))))) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3))) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (neg.f64 (log.f64 b)))))))
(+.f64 (.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (/.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) b)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3)) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (/.f64 -1 (+.f64 1 (exp.f64 a)))))
(-.f64 (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a))) (log.f64 (/.f64 -1 b)))
(+.f64 (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))
(+.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 b (+.f64 1 (log1p.f64 (exp.f64 a))))) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (-.f64 (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a))) (log.f64 (/.f64 -1 b))))
(-.f64 (+.f64 (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a)))) (log.f64 (/.f64 -1 b)))
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(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(fabs.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 1 (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 2 (expm1.f64 a))))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))

eval253.0ms (1.5%)

Compiler: Compiled 15491 to 9255 computations (40.3% saved)

prune115.0ms (0.7%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	623	5	628
Fresh	0	10	10
Picked	1	0	1
Done	3	5	8
Total	627	20	647

Error

0.6b

Counts

647 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	32.7b	(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
	30.9b	(/.f64 b (+.f64 2 (expm1.f64 a)))
	32.2b	(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
	32.6b	(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 2))
✓	31.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	2.3b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 2 (expm1.f64 a))))))
	30.7b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	56.3b	(*.f64 1/2 b)
✓	31.4b	(log1p.f64 (exp.f64 b))
✓	31.4b	(log1p.f64 (exp.f64 a))
	31.9b	(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
	32.0b	(log.f64 (+.f64 2 b))
	33.5b	(log.f64 (+.f64 2 a))
✓	32.5b	(log.f64 2)
	63.1b	(expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a))))))
	32.4b	(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
	53.9b	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
	23.2b	(exp.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))
	31.9b	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
	63.0b	(exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))

Compiler

Compiled 225 to 173 computations (23.1% saved)

regimes60.0ms (0.4%)

Counts

35 → 1

Calls

Call 1

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

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Calls

6 calls:

16.0ms	b
15.0ms	a
7.0ms	(exp.f64 a)
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
1.3b	1	`a`
1.3b	1	`b`
1.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	1	`(exp.f64 a)`
1.3b	1	`(exp.f64 b)`

Compiler

Compiled 401 to 241 computations (39.9% saved)

regimes59.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 2))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Calls

6 calls:

31.0ms	a
11.0ms	b
4.0ms	(exp.f64 a)
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
0.8b	2	`a`
2.5b	1	`b`
2.5b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.5b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.8b	2	`(exp.f64 a)`
2.5b	1	`(exp.f64 b)`

Compiler

Compiled 164 to 116 computations (29.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.3320515781512174e-7

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes69.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 2))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

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

Calls

6 calls:

31.0ms	b
17.0ms	a
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
0.9b	2	`a`
16.5b	4	`b`
1.6b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.6b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
0.9b	2	`(exp.f64 a)`
29.4b	1	`(exp.f64 b)`

Compiler

Compiled 140 to 97 computations (30.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.3320515781512174e-7

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes61.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 2))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log1p.f64 (exp.f64 b))

Calls

4 calls:

30.0ms	b
16.0ms	a
7.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.2b	2	`a`
16.7b	4	`b`
1.2b	2	`(exp.f64 a)`
29.0b	2	`(exp.f64 b)`

Compiler

Compiled 119 to 84 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.3320515781512174e-7

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes43.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 2))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log1p.f64 (exp.f64 a))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))

Calls

3 calls:

24.0ms	b
12.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.8b	2	`a`
17.1b	4	`b`
1.8b	2	`(exp.f64 a)`

Compiler

Compiled 76 to 57 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3320515781512174e-7	0.9997698679041488

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes32.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 2))

Outputs
(/.f64 b (+.f64 2 (expm1.f64 a)))
(log.f64 (+.f64 b (+.f64 2 a)))

Calls

2 calls:

19.0ms	b
10.0ms	a

Results

Error	Segments	Branch
1.8b	2	`a`
17.6b	4	`b`

Compiler

Compiled 49 to 36 computations (26.5% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-15.271347265154107	-0.00023015858030533195

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 175 to 136 computations (22.3% saved)

regimes16.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(*.f64 1/2 b)
(log.f64 (+.f64 b (+.f64 2 a)))

Calls

2 calls:

9.0ms	a
5.0ms	b

Results

Error	Segments	Branch
27.2b	2	`a`
31.7b	1	`b`

Compiler

Compiled 35 to 26 computations (25.7% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-15.271347265154107	-0.00023015858030533195

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 148 to 118 computations (20.3% saved)

regimes12.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(*.f64 1/2 b)
(log.f64 (+.f64 2 b))

Calls

2 calls:

7.0ms	a
4.0ms	b

Results

Error	Segments	Branch
27.3b	2	`a`
32.0b	1	`b`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	-4462830752.173878	-15.271347265154107

Results

16.0ms	108×	body	256	valid
9.0ms	15×	body	1024	valid
5.0ms	19×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 130 to 109 computations (16.2% saved)

regimes11.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(*.f64 1/2 b)
(log.f64 (+.f64 2 a))

Calls

2 calls:

7.0ms	a
3.0ms	b

Results

Error	Segments	Branch
27.6b	2	`a`
32.5b	1	`b`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-15.271347265154107	-0.00023015858030533195

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 130 to 109 computations (16.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -35.4b remaining (-127.7%)

Threshold costs -35.4b (-127.7%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 1/2 b)
(log.f64 2)
(log.f64 b)

Outputs
(*.f64 1/2 b)
(log.f64 2)

Calls

2 calls:

6.0ms	a
3.0ms	b

Results

Error	Segments	Branch
27.7b	2	`a`
32.5b	1	`b`

Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	-4462830752.173878	-15.271347265154107

Results

13.0ms	104×	body	256	valid
8.0ms	27×	body	512	valid
6.0ms	11×	body	1024	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 112 to 100 computations (10.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	385
1	64	385

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 944473296573929/2361183241434822606848) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -110) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -110) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 944473296573929/2361183241434822606848) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(if (<=.f64 (exp.f64 a) 944473296573929/2361183241434822606848) (/.f64 b (+.f64 2 (expm1.f64 a))) (+.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -1) (/.f64 b (+.f64 2 (expm1.f64 a))) (log.f64 (+.f64 b (+.f64 a 2))))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 b (+.f64 2 a))))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 b (+.f64 a 2))))
(if (<=.f64 a -110) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -110) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -1) (*.f64 1/2 b) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -1) (*.f64 b 1/2) (log.f64 (+.f64 a 2)))
(if (<=.f64 a -110) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -110) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)

Compiler

Compiled 164 to 120 computations (26.8% saved)

soundness232.0ms (1.4%)

Algorithm

3×	egg-herbie

Rules

1090×	`fma-def`
1090×	`fma-def`
1004×	`unswap-sqr`
1004×	`unswap-sqr`
902×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350
0	465	10235
1	1289	9835
2	5290	9733
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 153 to 75 computations (51% saved)

end89.0ms (0.5%)

Compiler: Compiled 182 to 117 computations (35.7% saved)