Details

analyze870.0ms (5.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	50%	0.1%	7
50%	50%	0.1%	8
50%	50%	0.1%	9
50%	50%	0.1%	10
50%	50%	0.1%	11
50%	50%	0.1%	12
50%	50%	0.1%	13
50%	50%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample12.3s (74.3%)

Results

9.6s	7955×	body	8192	exit
1.4s	2033×	body	1024	valid
563.0ms	4485×	body	128	valid
407.0ms	1008×	body	512	valid
202.0ms	226×	body	2048	valid
127.0ms	504×	body	256	valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess22.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1×	`swap-a-b`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	9	20
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 8 to 6 computations (25% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10

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)))

prune2.0ms (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

33.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	33.2b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	3.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series360.0ms (2.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
99.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
94.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
81.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
78.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite40.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
666×	`add-log-exp_binary64`
666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
73×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	138	18
2	1818	18

Stop Event

1×	node limit

Counts

2 → 57

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

Outputs

((#(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 (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 (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 (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 (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 (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 (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 *.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 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(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 pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(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 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 exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(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 expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))

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

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-neg_binary64`
396×	`associate-+l+_binary64`
328×	`fma-def_binary64`
238×	`times-frac_binary64`
220×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	746
1	248	742
2	902	714
3	4283	710

Stop Event

1×	node limit

Counts

105 → 89

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 (.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (+.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 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (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 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 b) 1)
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 1 (+.f64 (exp.f64 b) a))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (exp.f64 a))))
(+.f64 1 (+.f64 b (+.f64 (.f64 1/2 (pow.f64 b 2)) (+.f64 (exp.f64 a) (.f64 1/6 (pow.f64 b 3))))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.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 (.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 a (+.f64 1 (exp.f64 b))))) (.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1/2))
(+.f64 (log1p.f64 (exp.f64 b)) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (*.f64 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 b)))))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (+.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 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 a (+.f64 1 (exp.f64 b))))))) (.f64 -1/2 (+.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (log1p.f64 (exp.f64 b))))) (+.f64 (.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (-.f64 1/6 (/.f64 1/2 (+.f64 1 (exp.f64 b))))) (.f64 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) -1/2)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (log1p.f64 (exp.f64 b))))) (fma.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (-.f64 1/6 (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (.f64 (.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) -1/2)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (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 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (.f64 -1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (.f64 -1/2 (+.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (fma.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 b) 1)
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a)))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 1 (+.f64 (exp.f64 b) a))))
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/6 (pow.f64 a 3) (+.f64 1 (+.f64 (exp.f64 b) a))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/6 (pow.f64 a 3) 1)))
(fma.f64 1/6 (pow.f64 a 3) (+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (exp.f64 a))))
(+.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 1 (+.f64 b (+.f64 (.f64 1/2 (pow.f64 b 2)) (+.f64 (exp.f64 a) (.f64 1/6 (pow.f64 b 3))))))
(+.f64 (+.f64 1 b) (+.f64 (fma.f64 1/2 (.f64 b b) (exp.f64 a)) (.f64 1/6 (pow.f64 b 3))))
(+.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (fma.f64 1/6 (pow.f64 b 3) (exp.f64 a)))))
(+.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) (fma.f64 1/6 (pow.f64 b 3) (exp.f64 a)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

prune69.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	3	90

Error

1.0b

Counts

90 → 3

Alt Table

Status	Error	Program
▶	1.2b	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
	33.2b	(log.f64 (.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)))))))
	1.4b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Status

Error

Program

▶

1.2b

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

33.2b

(log.f64 (*.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)))))))

1.4b

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

Compiler

Compiled 1508 to 765 computations (49.3% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series269.0ms (1.6%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
84.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
83.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
46.0ms	a	@	-inf	(/.f64 1/2 (+.f64 1 (exp.f64 a)))
8.0ms	b	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
7.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

188×	`add-sqr-sqrt_binary64`
182×	`*-un-lft-identity_binary64`
182×	`pow1_binary64`
176×	`add-log-exp_binary64`
175×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	77
1	365	75

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 1 (+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 a))))) (-.f64 1/8 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) (-.f64 1/4 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (neg.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 3)) (+.f64 1/4 (-.f64 (.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (-.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))))))
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simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-neg_binary64`
468×	`times-frac_binary64`
383×	`fma-def_binary64`
347×	`associate-+l+_binary64`
289×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1563
1	292	1539
2	959	1380
3	4119	1379

Stop Event

1×	node limit

Counts

181 → 160

Calls

Call 1

Inputs
1/4
(+.f64 1/4 (*.f64 1/8 a))
(-.f64 (+.f64 1/4 (.f64 1/8 a)) (.f64 1/96 (pow.f64 a 3)))
(-.f64 (+.f64 1/4 (+.f64 (.f64 1/8 a) (.f64 1/960 (pow.f64 a 5)))) (*.f64 1/96 (pow.f64 a 3)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(*.f64 1/2 (pow.f64 b 2))
(-.f64 (.f64 1/2 (pow.f64 b 2)) (.f64 1/4 (*.f64 a (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) (pow.f64 b 2))) (.f64 1/2 (pow.f64 b 2))) (.f64 1/4 (*.f64 a (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) (pow.f64 b 2))) (.f64 1/2 (pow.f64 b 2))) (+.f64 (.f64 1/4 (.f64 a (pow.f64 b 2))) (.f64 1/480 (*.f64 (pow.f64 a 5) (pow.f64 b 2)))))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
1/4
(-.f64 1/4 (*.f64 1/8 a))
(-.f64 (+.f64 (.f64 1/96 (pow.f64 a 3)) 1/4) (.f64 1/8 a))
(-.f64 (+.f64 (.f64 1/96 (pow.f64 a 3)) 1/4) (+.f64 (.f64 1/8 a) (*.f64 1/960 (pow.f64 a 5))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 1/2 b)))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2))))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2)))))) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2))))))) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))

Outputs
1/4
(+.f64 1/4 (*.f64 1/8 a))
(fma.f64 1/8 a 1/4)
(-.f64 (+.f64 1/4 (.f64 1/8 a)) (.f64 1/96 (pow.f64 a 3)))
(+.f64 (+.f64 1/4 (.f64 1/8 a)) (.f64 -1/96 (pow.f64 a 3)))
(+.f64 (fma.f64 1/8 a 1/4) (*.f64 (pow.f64 a 3) -1/96))
(fma.f64 (pow.f64 a 3) -1/96 (fma.f64 1/8 a 1/4))
(-.f64 (+.f64 1/4 (+.f64 (.f64 1/8 a) (.f64 1/960 (pow.f64 a 5)))) (*.f64 1/96 (pow.f64 a 3)))
(+.f64 1/4 (-.f64 (fma.f64 1/8 a (.f64 1/960 (pow.f64 a 5))) (.f64 1/96 (pow.f64 a 3))))
(+.f64 (fma.f64 1/8 a 1/4) (-.f64 (.f64 1/960 (pow.f64 a 5)) (.f64 1/96 (pow.f64 a 3))))
(fma.f64 (pow.f64 a 3) -1/96 (fma.f64 1/8 a (fma.f64 1/960 (pow.f64 a 5) 1/4)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))
(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(-.f64 (.f64 1/2 (pow.f64 b 2)) (.f64 1/4 (*.f64 a (pow.f64 b 2))))
(-.f64 (.f64 1/2 (.f64 b b)) (.f64 (.f64 1/4 a) (*.f64 b b)))
(.f64 (.f64 b b) (-.f64 1/2 (*.f64 1/4 a)))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) (pow.f64 b 2))) (.f64 1/2 (pow.f64 b 2))) (.f64 1/4 (*.f64 a (pow.f64 b 2))))
(+.f64 (fma.f64 1/48 (.f64 (pow.f64 a 3) (.f64 b b)) (.f64 1/2 (.f64 b b))) (.f64 -1/4 (.f64 a (*.f64 b b))))
(fma.f64 1/48 (.f64 (pow.f64 a 3) (.f64 b b)) (.f64 (.f64 b b) (-.f64 1/2 (*.f64 1/4 a))))
(.f64 (.f64 b b) (-.f64 (fma.f64 (pow.f64 a 3) 1/48 1/2) (*.f64 1/4 a)))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) (pow.f64 b 2))) (.f64 1/2 (pow.f64 b 2))) (+.f64 (.f64 1/4 (.f64 a (pow.f64 b 2))) (.f64 1/480 (*.f64 (pow.f64 a 5) (pow.f64 b 2)))))
(-.f64 (fma.f64 1/48 (.f64 (pow.f64 a 3) (.f64 b b)) (.f64 1/2 (.f64 b b))) (fma.f64 1/4 (.f64 a (.f64 b b)) (.f64 1/480 (.f64 (pow.f64 a 5) (*.f64 b b)))))
(-.f64 (.f64 (.f64 b b) (+.f64 (.f64 (pow.f64 a 3) 1/48) 1/2)) (.f64 (.f64 b b) (+.f64 (.f64 1/4 a) (*.f64 (pow.f64 a 5) 1/480))))
(.f64 (.f64 b b) (-.f64 (fma.f64 (pow.f64 a 3) 1/48 1/2) (fma.f64 (pow.f64 a 5) 1/480 (*.f64 1/4 a))))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a)))
(/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b))
1/4
(-.f64 1/4 (*.f64 1/8 a))
(+.f64 1/4 (*.f64 -1/8 a))
(fma.f64 a -1/8 1/4)
(-.f64 (+.f64 (.f64 1/96 (pow.f64 a 3)) 1/4) (.f64 1/8 a))
(+.f64 (fma.f64 1/96 (pow.f64 a 3) 1/4) (*.f64 -1/8 a))
(+.f64 (fma.f64 1/96 (pow.f64 a 3) 1/4) (*.f64 a -1/8))
(fma.f64 a -1/8 (fma.f64 1/96 (pow.f64 a 3) 1/4))
(-.f64 (+.f64 (.f64 1/96 (pow.f64 a 3)) 1/4) (+.f64 (.f64 1/8 a) (*.f64 1/960 (pow.f64 a 5))))
(-.f64 (fma.f64 1/96 (pow.f64 a 3) 1/4) (fma.f64 1/8 a (*.f64 1/960 (pow.f64 a 5))))
(+.f64 1/4 (fma.f64 1/96 (pow.f64 a 3) (fma.f64 a -1/8 (*.f64 (pow.f64 a 5) -1/960))))
(+.f64 (fma.f64 a -1/8 1/4) (fma.f64 1/96 (pow.f64 a 3) (*.f64 (pow.f64 a 5) -1/960)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 b 2)) (.f64 1/2 b)))
(+.f64 (log.f64 2) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b)))
(fma.f64 1/8 (*.f64 b b) (fma.f64 1/2 b (log.f64 2)))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2))))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b)))) (.f64 -1/4 (.f64 a b)))
(+.f64 (+.f64 (fma.f64 1/8 (.f64 b b) (.f64 1/2 b)) (fma.f64 a 1/2 (log.f64 2))) (.f64 (.f64 a b) -1/4))
(fma.f64 (.f64 a b) -1/4 (fma.f64 a 1/2 (fma.f64 1/8 (.f64 b b) (fma.f64 1/2 b (log.f64 2)))))
(+.f64 (fma.f64 a 1/2 (fma.f64 1/2 b (log.f64 2))) (.f64 b (fma.f64 1/8 b (.f64 a -1/4))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2)))))) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(-.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b))))) (fma.f64 1/4 (.f64 a b) (.f64 1/32 (.f64 (.f64 b b) (.f64 a a)))))
(-.f64 (fma.f64 1/8 (.f64 a a) (+.f64 (fma.f64 1/8 (.f64 b b) (.f64 1/2 b)) (fma.f64 a 1/2 (log.f64 2)))) (fma.f64 1/4 (.f64 a b) (.f64 (.f64 b b) (.f64 (.f64 a a) 1/32))))
(-.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 a 1/2 (fma.f64 1/8 (.f64 b b) (fma.f64 1/2 b (log.f64 2))))) (.f64 b (+.f64 (.f64 1/4 a) (.f64 b (.f64 a (*.f64 a 1/32))))))
(+.f64 (fma.f64 1/8 (.f64 b b) (fma.f64 1/2 b (log.f64 2))) (fma.f64 a (+.f64 1/2 (.f64 1/8 a)) (fma.f64 a (.f64 b -1/4) (.f64 (.f64 -1/32 (.f64 b b)) (*.f64 a a)))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (+.f64 (.f64 1/2 b) (.f64 1/8 (pow.f64 b 2))))))) (+.f64 (.f64 1/4 (.f64 a b)) (.f64 1/32 (.f64 (pow.f64 a 2) (pow.f64 b 2)))))
(-.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/48 (.f64 (pow.f64 a 3) b) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b)))))) (fma.f64 1/4 (.f64 a b) (.f64 1/32 (.f64 (.f64 b b) (*.f64 a a)))))
(-.f64 (fma.f64 1/8 (.f64 a a) (+.f64 (fma.f64 1/48 (.f64 (pow.f64 a 3) b) (fma.f64 1/8 (.f64 b b) (.f64 1/2 b))) (fma.f64 a 1/2 (log.f64 2)))) (fma.f64 1/4 (.f64 a b) (.f64 (.f64 b b) (.f64 (*.f64 a a) 1/32))))
(-.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 a 1/2 (fma.f64 b (fma.f64 (pow.f64 a 3) 1/48 1/2) (fma.f64 1/8 (.f64 b b) (log.f64 2))))) (.f64 b (+.f64 (.f64 1/4 a) (.f64 b (.f64 a (*.f64 a 1/32))))))
(+.f64 (fma.f64 b (fma.f64 (pow.f64 a 3) 1/48 1/2) (fma.f64 1/8 (.f64 b b) (log.f64 2))) (fma.f64 a (+.f64 1/2 (.f64 1/8 a)) (fma.f64 a (.f64 b -1/4) (.f64 (.f64 -1/32 (.f64 b b)) (*.f64 a a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.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 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))
(.f64 (.f64 b b) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))
(.f64 (.f64 b b) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(.f64 (.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))

prune161.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	160	3	163

Error

1.0b

Counts

163 → 3

Alt Table

Status

Error

Program

✓

1.2b

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

33.2b

(log.f64 (*.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)))))))

▶

1.4b

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

Compiler

Compiled 5864 to 3543 computations (39.6% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

series174.0ms (1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
70.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
65.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
15.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
11.0ms	b	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
11.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`prod-diff_binary64`
317×	`fma-def_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`
153×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	189	16
2	2657	16

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-neg_binary64`
538×	`cancel-sign-sub-inv_binary64`
379×	`associate-+l+_binary64`
286×	`associate-+r+_binary64`
206×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	394
1	97	387
2	279	377
3	1006	373
4	2799	372

Stop Event

1×	node limit

Counts

77 → 66

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b))))) (.f64 1/4 (*.f64 a b)))
(+.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))))

Outputs
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 a b)))
(+.f64 (fma.f64 1/2 a (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 -1/4 (*.f64 b a)))
(-.f64 (fma.f64 1/2 a (fma.f64 1/2 b (log.f64 2))) (.f64 b (.f64 a 1/4)))
(fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 b (fma.f64 1/2 a (log.f64 2))))
(-.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (fma.f64 b 1/4 -1/2)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 -1/4 (.f64 b a)))
(+.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (fma.f64 1/2 b (log.f64 2)))) (.f64 (*.f64 b a) -1/4))
(fma.f64 a (.f64 a 1/8) (fma.f64 (.f64 b a) -1/4 (fma.f64 1/2 b (fma.f64 1/2 a (log.f64 2)))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 a (+.f64 1/2 (fma.f64 a 1/8 (.f64 b -1/4)))))
(+.f64 (log.f64 2) (fma.f64 1/2 (+.f64 b a) (.f64 a (fma.f64 a 1/8 (.f64 b -1/4)))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b))))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/48 (.f64 b (pow.f64 a 3)) (.f64 1/2 b))))) (.f64 -1/4 (*.f64 b a)))
(+.f64 (fma.f64 1/8 (.f64 a a) (+.f64 (.f64 b (+.f64 1/2 (.f64 1/48 (pow.f64 a 3)))) (fma.f64 1/2 a (log.f64 2)))) (.f64 (*.f64 b a) -1/4))
(fma.f64 (.f64 b a) -1/4 (fma.f64 1/2 a (fma.f64 a (.f64 a 1/8) (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2)))))
(+.f64 (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2)) (.f64 a (+.f64 1/2 (fma.f64 a 1/8 (.f64 b -1/4)))))
(+.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))))

prune71.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	63	6	69

Error

1.0b

Counts

69 → 6

Alt Table

Status	Error	Program
▶	1.4b	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
	2.2b	(fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (log1p.f64 (exp.f64 a)))
✓	1.2b	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
	33.2b	(log.f64 (.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)))))))
	2.2b	(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
	17.8b	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 1405 to 787 computations (44% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

0.1b

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

series768.0ms (4.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
196.0ms	a	@	inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
192.0ms	a	@	-inf	(log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
68.0ms	a	@	-inf	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
67.0ms	a	@	inf	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
65.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`prod-diff_binary64`
183×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
106×	`add-sqr-sqrt_binary64`
105×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	212	50
2	2874	50

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

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

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

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

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

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

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

426×	`associate-+r+_binary64`
268×	`associate-+l+_binary64`
267×	`+-commutative_binary64`
226×	`cancel-sign-sub-inv_binary64`
216×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	3244
1	867	3162
2	3914	3099

Stop Event

1×	node limit

Counts

166 → 104

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b))))) (.f64 1/4 (*.f64 a b)))
(+.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 (log.f64 2) (*.f64 1/2 b))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 1/4 (*.f64 a b)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b))))) (.f64 1/4 (*.f64 a b)))
(+.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 1 (+.f64 (log.f64 2) (*.f64 1/2 b))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 a (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))) (log.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))) (.f64 1/4 (/.f64 (.f64 a b) (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 2))) (+.f64 (.f64 1/2 (/.f64 a (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))) (log.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 a b) (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))) (.f64 1/32 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 2))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 2))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) b) (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))) (+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b)))) (+.f64 (.f64 1/2 (/.f64 a (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 3))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 a 3) b) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 2))) (.f64 1/32 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 b 2)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 3)))))))))) (+.f64 (.f64 1/4 (/.f64 (.f64 a b) (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))))) (+.f64 (.f64 1/192 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 b 3)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) b) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 1/2 b))) 2))) (.f64 1/32 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 b))) 2)))))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (*.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) (log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (/.f64 b (.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) (log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(-.f64 (+.f64 (/.f64 b (.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a))))))) (.f64 1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (/.f64 1 b) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) b))))) (log.f64 (/.f64 1 b)))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) b))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (+.f64 (/.f64 (exp.f64 a) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (exp.f64 a)) (pow.f64 b 2)) (log.f64 (/.f64 1 b))))))))))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) (pow.f64 b 3))) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) b) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 b 3))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 b 3)) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 3)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (exp.f64 a)) (pow.f64 b 3))) (+.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (exp.f64 a)) (pow.f64 b 3)) (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3)))))))))))))))))))))) (+.f64 (.f64 2 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (exp.f64 a)) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2))) (log.f64 (/.f64 1 b))))))))))))
(-.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (log.f64 (/.f64 -1 b)))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) b))))) (log.f64 (/.f64 -1 b)))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) b))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (+.f64 (/.f64 (exp.f64 a) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (exp.f64 a)) (pow.f64 b 2)) (log.f64 (/.f64 -1 b))))))))))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) (pow.f64 b 3))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) b) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 b 3))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 b 3)) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 3)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (exp.f64 a)) (pow.f64 b 3))) (+.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (exp.f64 a)) (pow.f64 b 3)) (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3)))))))))))))))))))))) (+.f64 (.f64 2 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (exp.f64 a)) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2))) (log.f64 (/.f64 -1 b))))))))))))

Outputs
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 a b)))
(+.f64 (fma.f64 1/2 a (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 -1/4 (*.f64 b a)))
(fma.f64 1/2 a (+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 (.f64 b a) -1/4)))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (fma.f64 1/2 a (.f64 (.f64 b a) -1/4)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 -1/4 (.f64 b a)))
(fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 (*.f64 b a) -1/4))))
(+.f64 (fma.f64 1/2 a (fma.f64 1/2 b (log.f64 2))) (fma.f64 a (.f64 a 1/8) (.f64 (*.f64 b a) -1/4)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b))))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/48 (.f64 b (pow.f64 a 3)) (.f64 1/2 b))))) (.f64 -1/4 (*.f64 b a)))
(+.f64 (fma.f64 1/8 (.f64 a a) (+.f64 (.f64 b (+.f64 1/2 (.f64 1/48 (pow.f64 a 3)))) (fma.f64 1/2 a (log.f64 2)))) (.f64 (*.f64 b a) -1/4))
(fma.f64 1/8 (.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 b (+.f64 1/2 (.f64 1/48 (pow.f64 a 3))) (.f64 (.f64 b a) -1/4))))
(+.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))))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(-.f64 (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 1/4 (.f64 a b)))
(+.f64 (fma.f64 1/2 a (+.f64 (log.f64 2) (.f64 1/2 b))) (.f64 -1/4 (*.f64 b a)))
(fma.f64 1/2 a (+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 (.f64 b a) -1/4)))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (fma.f64 1/2 a (.f64 (.f64 b a) -1/4)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (.f64 1/2 b)))) (.f64 -1/4 (.f64 b a)))
(fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (fma.f64 1/2 b (log.f64 2)) (.f64 (*.f64 b a) -1/4))))
(+.f64 (fma.f64 1/2 a (fma.f64 1/2 b (log.f64 2))) (fma.f64 a (.f64 a 1/8) (.f64 (*.f64 b a) -1/4)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) b)) (.f64 1/2 b))))) (.f64 1/4 (*.f64 a b)))
(+.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/48 (.f64 b (pow.f64 a 3)) (.f64 1/2 b))))) (.f64 -1/4 (*.f64 b a)))
(+.f64 (fma.f64 1/8 (.f64 a a) (+.f64 (.f64 b (+.f64 1/2 (.f64 1/48 (pow.f64 a 3)))) (fma.f64 1/2 a (log.f64 2)))) (.f64 (*.f64 b a) -1/4))
(fma.f64 1/8 (.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 b (+.f64 1/2 (.f64 1/48 (pow.f64 a 3))) (.f64 (.f64 b a) -1/4))))
(+.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))))
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(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b)) (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (exp.f64 a)))) (log.f64 (/.f64 -1 (+.f64 1 (exp.f64 a)))))) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)) (/.f64 1/2 (.f64 b b))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (.f64 b b)) (fma.f64 2 (/.f64 (.f64 (exp.f64 a) (log1p.f64 (exp.f64 a))) (.f64 b b)) (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (.f64 b b) (pow.f64 (exp.f64 a) 2))) (/.f64 (exp.f64 a) (.f64 b b))) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (.f64 b b) (pow.f64 (exp.f64 a) 2))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (.f64 b b) (exp.f64 a))) (log.f64 (/.f64 -1 b))))))))))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (-.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 (/.f64 (exp.f64 a) (/.f64 b (log1p.f64 (exp.f64 a)))) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a)))))) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)))) (+.f64 (/.f64 1/2 (.f64 b b)) (+.f64 (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (exp.f64 a) b))) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (pow.f64 (exp.f64 a) 2) b))) (+.f64 (+.f64 (.f64 (/.f64 (exp.f64 a) b) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (pow.f64 (exp.f64 a) 2)) (log.f64 (/.f64 -1 b)))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (.f64 b b)) (/.f64 (exp.f64 a) (*.f64 b b))))))))
(-.f64 (-.f64 (+.f64 (/.f64 1 b) (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 (/.f64 (exp.f64 a) (/.f64 b (log1p.f64 (exp.f64 a)))) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a))))) (/.f64 (exp.f64 a) b))) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)))) (+.f64 (/.f64 1/2 (.f64 b b)) (+.f64 (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (exp.f64 a) b))) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (pow.f64 (exp.f64 a) 2) b))) (+.f64 (+.f64 (.f64 (/.f64 (exp.f64 a) b) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (pow.f64 (exp.f64 a) 2)) (log.f64 (/.f64 -1 b)))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (.f64 b b)) (/.f64 (exp.f64 a) (*.f64 b b)))))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) (pow.f64 b 3))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) b) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 b 3))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 b 3)) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 3)) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (exp.f64 a)) (pow.f64 b 3))) (+.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3) (exp.f64 a)) (pow.f64 b 3)) (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3)))))))))))))))))))))) (+.f64 (.f64 2 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) (pow.f64 b 2))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 b 2))) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (pow.f64 b 2)) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (exp.f64 a)) (pow.f64 b 2)) (+.f64 (.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2))) (log.f64 (/.f64 -1 b))))))))))))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (/.f64 (pow.f64 b 3) (pow.f64 (exp.f64 a) 3))) (+.f64 (log.f64 (/.f64 -1 (+.f64 1 (exp.f64 a)))) (fma.f64 3 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (pow.f64 b 3) (exp.f64 a))) (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (/.f64 (pow.f64 b 3) (pow.f64 (exp.f64 a) 2)))) (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (exp.f64 a))) (/.f64 1/3 (pow.f64 b 3))) (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 b 3)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 b 3))) (fma.f64 1/3 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 b 3)) (+.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 3))) (fma.f64 3 (/.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3)) (fma.f64 3 (/.f64 (.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 3)) (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (pow.f64 b 3) (pow.f64 (exp.f64 a) 3))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (fma.f64 3 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (exp.f64 a))) (+.f64 (+.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (/.f64 (pow.f64 b 3) (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (pow.f64 (exp.f64 a) 3))))))))))))))))) (fma.f64 2 (/.f64 (.f64 (exp.f64 a) (log1p.f64 (exp.f64 a))) (.f64 b b)) (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (.f64 b b) (pow.f64 (exp.f64 a) 2))) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)) (/.f64 1/2 (.f64 b b))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (.f64 b b)) (+.f64 (+.f64 (/.f64 (exp.f64 a) (.f64 b b)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (.f64 b b) (exp.f64 a)))) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (.f64 b b) (pow.f64 (exp.f64 a) 2))) (log.f64 (/.f64 -1 b)))))))))))
(+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 3 (.f64 (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 b 3)) (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)) (+.f64 (/.f64 (exp.f64 a) (/.f64 b (log1p.f64 (exp.f64 a)))) (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 b 3)) (pow.f64 (exp.f64 a) 2)))) (+.f64 (/.f64 1/3 (pow.f64 b 3)) (+.f64 (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 b 3)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 b 3))) (fma.f64 1/3 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 3)) (fma.f64 3 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 b 3)) (pow.f64 (exp.f64 a) 2)) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (+.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (/.f64 (pow.f64 b 3) (exp.f64 a))) (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 b 3)) (pow.f64 (exp.f64 a) 3))) (fma.f64 3 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (/.f64 (exp.f64 a) (pow.f64 b 3))))) (fma.f64 3 (.f64 (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 b 3)) (pow.f64 (exp.f64 a) 2)) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 b 3)) (pow.f64 (exp.f64 a) 3))))))))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 b 3)) (pow.f64 (exp.f64 a) 3)) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a))))) (-.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (+.f64 (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)) (/.f64 1/2 (.f64 b b))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (.f64 b b)) (/.f64 (exp.f64 a) (.f64 b b)))) (+.f64 (.f64 (/.f64 (exp.f64 a) b) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (pow.f64 (exp.f64 a) 2)) (log.f64 (/.f64 -1 b)))))) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (exp.f64 a) b))) (*.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (pow.f64 (exp.f64 a) 2) b))))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) 3) (pow.f64 (exp.f64 a) 3)) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a)))) (-.f64 (+.f64 (+.f64 (fma.f64 3 (.f64 (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 b 3)) (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) b)) (+.f64 (/.f64 (exp.f64 a) (/.f64 b (log1p.f64 (exp.f64 a)))) (.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) 3) (pow.f64 (exp.f64 a) 2)))) (+.f64 (/.f64 1/3 (pow.f64 b 3)) (+.f64 (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 b 3)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 b 3))) (fma.f64 1/3 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) 3) (/.f64 1 b))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 3)) (fma.f64 3 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 b 3)) (pow.f64 (exp.f64 a) 2)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (exp.f64 a) b) 3) (+.f64 (+.f64 (fma.f64 3 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (/.f64 (exp.f64 a) (pow.f64 b 3))) (.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) 3) (exp.f64 a))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (exp.f64 a)) 3)))) (fma.f64 3 (.f64 (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 b 3)) (pow.f64 (exp.f64 a) 2)) (/.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (exp.f64 a)) 3))))))))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (+.f64 (+.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)) (/.f64 1/2 (.f64 b b))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (.f64 b b)) (/.f64 (exp.f64 a) (.f64 b b)))) (+.f64 (.f64 (/.f64 (exp.f64 a) b) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) b)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 b b)) (pow.f64 (exp.f64 a) 2)) (log.f64 (/.f64 -1 b)))))) (fma.f64 2 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (/.f64 (exp.f64 a) b))) (.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (pow.f64 (exp.f64 a) 2) b)))))))

prune114.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	106	4	110

Error

1.0b

Counts

110 → 4

Alt Table

Status	Error	Program
✓	1.2b	(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))))
	33.2b	(log.f64 (.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)))))))
	63.6b	(expm1.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (+.f64 (/.f64 (exp.f64 a) (/.f64 b (log1p.f64 (exp.f64 a)))) (+.f64 (/.f64 1 b) (/.f64 (log1p.f64 (exp.f64 a)) b))) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))
	63.6b	(expm1.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (/.f64 1 b) (+.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) b) (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 a)) b))))) (log.f64 (/.f64 1 b))))

Compiler

Compiled 4619 to 2843 computations (38.4% saved)

regimes717.0ms (4.3%)

Accuracy

Total 0.4b remaining (40.9%)

Threshold costs 0.4b (40.9%)

Counts

143 → 1

Compiler

Compiled 15004 to 10758 computations (28.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	25	39
2	32	39
3	34	39
4	35	39

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end250.0ms (1.5%)

Stop Event

1×

fuel

Compiler

Compiled 242 to 160 computations (33.9% saved)

Details

analyze870.0ms (5.2%)

sample12.3s (74.3%)

preprocess22.0ms (0.1%)

simplify6.0ms (0%)

prune2.0ms (0%)

localize5.0ms (0%)

series360.0ms (2.2%)

rewrite40.0ms (0.2%)

simplify39.0ms (0.2%)

prune69.0ms (0.4%)

localize24.0ms (0.1%)

series269.0ms (1.6%)

rewrite47.0ms (0.3%)

simplify52.0ms (0.3%)

prune161.0ms (1%)

localize8.0ms (0%)

series174.0ms (1%)

rewrite44.0ms (0.3%)

simplify33.0ms (0.2%)

prune71.0ms (0.4%)

localize8.0ms (0%)

series768.0ms (4.6%)

rewrite56.0ms (0.3%)

simplify69.0ms (0.4%)

prune114.0ms (0.7%)

regimes717.0ms (4.3%)

simplify2.0ms (0%)

end250.0ms (1.5%)

Profiling