Details

analyze329.0ms (1.6%)

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample14.6s (71.6%)

Results

11.5s	7620×	body	8192	exit
1.5s	1983×	body	1024	valid
904.0ms	5104×	body	256	valid
479.0ms	953×	body	512	valid
212.0ms	216×	body	2048	valid

preprocess31.0ms (0.2%)

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 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

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)))

eval1.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	4.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series149.0ms (0.7%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
40.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
33.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
25.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
666×	`add-log-exp_binary64`
666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
650×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	138	18
2	1822	18

Stop Event

1×	node limit

Counts

2 → 56

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

Outputs

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

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64`
670×	`distribute-lft-in_binary64`
483×	`associate-*l/_binary64`
432×	`associate-*r/_binary64`
377×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	440
1	214	434
2	668	428
3	3076	416

Stop Event

1×	node limit

Counts

72 → 86

Calls

Call 1

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

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

eval23.0ms (0.1%)

Compiler: Compiled 1332 to 669 computations (49.8% saved)

prune20.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	77	9	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	10	87

Error

1.0b

Counts

87 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	28.4b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	30.2b	(log1p.f64 (exp.f64 a))
▶	27.7b	(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
	30.1b	(log1p.f64 (exp.f64 b))
✓	27.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	1.9b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶	30.2b	(log.f64 (+.f64 1 (exp.f64 a)))
	28.1b	(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
▶	31.2b	(log.f64 (+.f64 1 (+.f64 (exp.f64 b) a)))
	30.1b	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 162 to 128 computations (21% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 14 computations (53.3% saved)

series60.0ms (0.3%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
32.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
14.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
4.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`prod-diff_binary64`
453×	`log-prod_binary64`
317×	`fma-def_binary64`
291×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	189	25
2	2662	25

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

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

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

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-neg_binary64`
429×	`fma-def_binary64`
383×	`distribute-rgt-in_binary64`
308×	`associate--l+_binary64`
295×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	477
1	194	439
2	792	413
3	3780	408

Stop Event

1×	node limit

Counts

125 → 116

Calls

Call 1

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

Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(-.f64 (fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (.f64 a 1/8) (log.f64 2)))) (.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (.f64 a 1/8) (fma.f64 (pow.f64 a 3) (.f64 b 1/48) (log.f64 2)))))
(+.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 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (.f64 b a) (.f64 a (.f64 a 0))) (.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (.f64 b (fma.f64 a -1/4 1/2)) (.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(.f64 b (-.f64 (fma.f64 a -1/4 1/2) (.f64 -1/48 (pow.f64 a 3))))

localize5.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite42.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
494×	`add-log-exp_binary64`
494×	`log1p-expm1-u_binary64`
494×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	115	5
2	1345	5

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify131.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

787×	`sqr-pow_binary64`
444×	`associate-l_binary64`
437×	`*-commutative_binary64`
420×	`fma-def_binary64`
355×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	49
1	43	47
2	93	45
3	230	39
4	661	39
5	2145	39
6	3469	39
7	3737	39
8	4005	39
9	4402	39
10	4895	39
11	5420	39
12	5954	39
13	6483	39
14	7109	39
15	7860	39

Stop Event

1×	node limit

Counts

24 → 27

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/8 (.f64 a a)))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a a) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))
(fma.f64 a (fma.f64 a 1/8 1/2) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (.f64 1/8 (.f64 a a))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/8 (.f64 a a) (.f64 -1/192 (pow.f64 a 4))))
(fma.f64 1/2 a (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(fma.f64 a (fma.f64 a 1/8 1/2) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (+.f64 (exp.f64 b) a))
✓	2.0b	(log.f64 (+.f64 1 (+.f64 (exp.f64 b) a)))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series51.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 b) a)))
14.0ms	b	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 b) a)))
14.0ms	b	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 b) a)))
1.0ms	b	@	0	(log.f64 (+.f64 1 (+.f64 (exp.f64 b) a)))
1.0ms	a	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 b) a)))

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
840×	`add-log-exp_binary64`
839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
823×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	17
2	2229	17

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

735×	`associate-/r*_binary64`
510×	`distribute-rgt-in_binary64`
505×	`distribute-lft-in_binary64`
400×	`associate-/r/_binary64`
357×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	779
1	265	743
2	853	732
3	3848	730

Stop Event

1×	node limit

Counts

103 → 93

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	3.1b	(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
	4.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`prod-diff_binary64`
423×	`log-prod_binary64`
409×	`fma-def_binary64`
275×	`pow-prod-down_binary64`
253×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	213	23
2	3011	23

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-rgt-in_binary64`
599×	`distribute-lft-in_binary64`
495×	`*-commutative_binary64`
467×	`associate-*l/_binary64`
375×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	840
1	205	836
2	623	824
3	2868	800

Stop Event

1×	node limit

Counts

152 → 153

Calls

Call 1

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

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

eval204.0ms (1%)

Compiler: Compiled 8513 to 4606 computations (45.9% saved)

prune75.0ms (0.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	460	15	475
Fresh	4	0	4
Picked	1	0	1
Done	3	2	5
Total	468	17	485

Error

1.0b

Counts

485 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	17.7b	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
	30.5b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	30.2b	(log1p.f64 (exp.f64 a))
▶	2.2b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
	30.6b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
	32.2b	(log.f64 (+.f64 2 a))
	19.2b	(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))
	32.5b	(/.f64 b (+.f64 1 (exp.f64 a)))
	31.8b	(log.f64 (+.f64 2 (+.f64 a b)))
	24.7b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
▶	30.1b	(log1p.f64 (exp.f64 b))
▶	31.2b	(log.f64 (-.f64 (+.f64 1 (+.f64 1 (+.f64 (exp.f64 b) a))) 1))
	31.2b	(log1p.f64 (+.f64 (exp.f64 b) a))
	2.5b	(+.f64 (log1p.f64 (exp.f64 a)) (.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1)))))
▶	31.4b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	31.0b	(log.f64 2)

Compiler

Compiled 317 to 242 computations (23.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (+.f64 (exp.f64 a) 1))
✓	0.0b	(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓	0.1b	(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))

Compiler

Compiled 47 to 25 computations (46.8% saved)

series92.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
62.0ms	a	@	inf	(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
20.0ms	a	@	-inf	(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
1.0ms	a	@	0	(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
1.0ms	b	@	0	(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
1.0ms	b	@	-inf	(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
378×	`exp-prod_binary64`
319×	`fma-def_binary64`
310×	`pow-prod-down_binary64`
267×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	212	45
2	2896	45

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

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

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

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
707×	`associate-+l+_binary64`
536×	`associate-l_binary64`
521×	`associate-r_binary64`
280×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1707
1	473	1586
2	1940	1492

Stop Event

1×	node limit

Counts

311 → 216

Calls

Call 1

Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 1 b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(log.f64 (+.f64 (*.f64 1/2 b) 1))
(+.f64 (log.f64 (+.f64 (.f64 1/2 b) 1)) (.f64 -1/4 (/.f64 (.f64 a b) (+.f64 (.f64 1/2 b) 1))))
(+.f64 (log.f64 (+.f64 (.f64 1/2 b) 1)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) (+.f64 (.f64 1/2 b) 1)))))) (.f64 -1/4 (/.f64 (.f64 a b) (+.f64 (.f64 1/2 b) 1)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -3/2 (/.f64 (.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) b) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 (.f64 1/2 b) 1) 3))) (.f64 -6 (/.f64 (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) 1))))))) (+.f64 (log.f64 (+.f64 (.f64 1/2 b) 1)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) (+.f64 (.f64 1/2 b) 1)))))) (.f64 -1/4 (/.f64 (.f64 a b) (+.f64 (.f64 1/2 b) 1))))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (.f64 b a) (.f64 a (.f64 a 0))) (.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (.f64 b (fma.f64 a -1/4 1/2)) (.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (log.f64 2)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 b 1/2 (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (neg.f64 (pow.f64 a 3)) (+.f64 0 (.f64 b -1/48)) (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))))
(-.f64 (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 b 1/2 (fma.f64 a (.f64 a 1/8) (log.f64 2)))) (.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (+.f64 (fma.f64 -1/2 (/.f64 (.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (neg.f64 (log.f64 b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (/.f64 1 b) (log.f64 b)) (log1p.f64 (exp.f64 a))))
(+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)))))
(+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)) (/.f64 (exp.f64 a) b)))
(-.f64 (/.f64 (exp.f64 a) b) (-.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (log.f64 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))))))
(+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))) (/.f64 (exp.f64 a) b)))
(+.f64 (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (log.f64 b))) (-.f64 (/.f64 (exp.f64 a) b) (log1p.f64 (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (/.f64 -1 (+.f64 1 (exp.f64 a)))))
(-.f64 (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a))) (log.f64 (/.f64 -1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 1 b))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 (/.f64 -1 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (/.f64 1 b) (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a))))) (log.f64 (/.f64 -1 b)))
(+.f64 (+.f64 (/.f64 1 b) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a)))) (-.f64 (/.f64 (exp.f64 a) b) (log.f64 (/.f64 -1 b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)) (log.f64 (/.f64 -1 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b)) (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a))))) (log.f64 (/.f64 -1 b)))
(+.f64 (/.f64 1 b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a)))) (-.f64 (/.f64 (exp.f64 a) b) (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))) (log.f64 (/.f64 -1 (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b))) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a))))) (log.f64 (/.f64 -1 b)))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)) (+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (-.f64 (log.f64 -1) (log1p.f64 (exp.f64 a)))) (-.f64 (/.f64 (exp.f64 a) b) (log.f64 (/.f64 -1 b)))))
(log.f64 (+.f64 (*.f64 1/2 b) 1))
(log.f64 (fma.f64 1/2 b 1))
(log1p.f64 (*.f64 b 1/2))
(+.f64 (log.f64 (+.f64 (.f64 1/2 b) 1)) (.f64 -1/4 (/.f64 (.f64 a b) (+.f64 (.f64 1/2 b) 1))))
(+.f64 (log.f64 (fma.f64 1/2 b 1)) (.f64 -1/4 (/.f64 (.f64 b a) (fma.f64 1/2 b 1))))
(fma.f64 -1/4 (.f64 (/.f64 a (fma.f64 b 1/2 1)) b) (log1p.f64 (.f64 b 1/2)))
(fma.f64 -1/4 (/.f64 a (/.f64 (fma.f64 b 1/2 1) b)) (log1p.f64 (*.f64 b 1/2)))
(+.f64 (log.f64 (+.f64 (.f64 1/2 b) 1)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) (+.f64 (.f64 1/2 b) 1)))))) (.f64 -1/4 (/.f64 (.f64 a b) (+.f64 (.f64 1/2 b) 1)))))
(+.f64 (log.f64 (fma.f64 1/2 b 1)) (fma.f64 1/2 (.f64 (.f64 a a) (fma.f64 -1/16 (/.f64 (.f64 b b) (pow.f64 (fma.f64 1/2 b 1) 2)) (.f64 -2 (/.f64 (.f64 b 0) (fma.f64 1/2 b 1))))) (.f64 -1/4 (/.f64 (*.f64 b a) (fma.f64 1/2 b 1)))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 a (fma.f64 b 1/2 1)) b) (log1p.f64 (.f64 b 1/2))) (.f64 (fma.f64 -1/16 (/.f64 b (/.f64 (pow.f64 (fma.f64 b 1/2 1) 2) b)) (/.f64 0 (fma.f64 b 1/2 1))) (.f64 1/2 (*.f64 a a))))
(fma.f64 1/2 (fma.f64 a (.f64 a (/.f64 (.f64 b b) (/.f64 (pow.f64 (fma.f64 b 1/2 1) 2) -1/16))) 0) (fma.f64 -1/4 (/.f64 a (/.f64 (fma.f64 b 1/2 1) b)) (log1p.f64 (*.f64 b 1/2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -3/2 (/.f64 (.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) b) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 (.f64 1/2 b) 1) 3))) (.f64 -6 (/.f64 (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) 1))))))) (+.f64 (log.f64 (+.f64 (.f64 1/2 b) 1)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) (+.f64 (.f64 1/2 b) 1)))))) (.f64 -1/4 (/.f64 (.f64 a b) (+.f64 (.f64 1/2 b) 1))))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (fma.f64 -3/2 (/.f64 (.f64 b (.f64 b 0)) (pow.f64 (fma.f64 1/2 b 1) 2)) (fma.f64 -1/32 (/.f64 (pow.f64 b 3) (pow.f64 (fma.f64 1/2 b 1) 3)) (.f64 -6 (/.f64 (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2))) (fma.f64 1/2 b 1)))))) (+.f64 (log.f64 (fma.f64 1/2 b 1)) (fma.f64 1/2 (.f64 (.f64 a a) (fma.f64 -1/16 (/.f64 (.f64 b b) (pow.f64 (fma.f64 1/2 b 1) 2)) (.f64 -2 (/.f64 (.f64 b 0) (fma.f64 1/2 b 1))))) (.f64 -1/4 (/.f64 (*.f64 b a) (fma.f64 1/2 b 1))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 a a) (fma.f64 -1/16 (/.f64 b (/.f64 (pow.f64 (fma.f64 b 1/2 1) 2) b)) (/.f64 0 (fma.f64 b 1/2 1)))) (/.f64 (.f64 b a) (/.f64 (fma.f64 b 1/2 1) -1/4))) (fma.f64 (.f64 (pow.f64 a 3) 1/6) (+.f64 (/.f64 0 (pow.f64 (fma.f64 b 1/2 1) 2)) (fma.f64 -1/32 (/.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b 1/2 1) 3)) (.f64 -6 (/.f64 (+.f64 0 (.f64 b -1/48)) (fma.f64 b 1/2 1))))) (log1p.f64 (*.f64 b 1/2))))
(fma.f64 1/6 (fma.f64 (pow.f64 a 3) (fma.f64 -1/32 (pow.f64 (/.f64 b (fma.f64 b 1/2 1)) 3) (/.f64 (.f64 b 1/8) (fma.f64 b 1/2 1))) 0) (fma.f64 1/2 (fma.f64 a (.f64 a (/.f64 (.f64 b b) (/.f64 (pow.f64 (fma.f64 b 1/2 1) 2) -1/16))) 0) (fma.f64 -1/4 (/.f64 a (/.f64 (fma.f64 b 1/2 1) b)) (log1p.f64 (.f64 b 1/2)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (.f64 b a) (.f64 a (.f64 a 0))) (.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (.f64 b (fma.f64 a -1/4 1/2)) (.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))

localize4.0ms (0%)

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

localize10.0ms (0%)

Compiler: Compiled 16 to 13 computations (18.8% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series33.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))
13.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))

rewrite43.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

318×	`pow1_binary64`
312×	`associate-l_binary64`
305×	`add-sqr-sqrt_binary64`
300×	`*-un-lft-identity_binary64`
291×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	73	5
2	819	5

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-/l/_binary64`
556×	`associate-/r/_binary64`
462×	`associate-l_binary64`
426×	`associate-/l*_binary64`
421×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	87
1	51	85
2	99	85
3	248	79
4	683	79
5	2197	79
6	3574	79
7	4013	79
8	4912	79

Stop Event

1×	node limit

Counts

56 → 53

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (+.f64 1 (+.f64 (exp.f64 b) a)))
✓	0.0b	(-.f64 (+.f64 1 (+.f64 1 (+.f64 (exp.f64 b) a))) 1)
	0.0b	(+.f64 1 (+.f64 (exp.f64 b) a))
✓	2.0b	(log.f64 (-.f64 (+.f64 1 (+.f64 1 (+.f64 (exp.f64 b) a))) 1))

Compiler

Compiled 46 to 24 computations (47.8% saved)

series35.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	b	@	inf	(log.f64 (-.f64 (+.f64 1 (+.f64 1 (+.f64 (exp.f64 b) a))) 1))
1.0ms	b	@	0	(log.f64 (-.f64 (+.f64 1 (+.f64 1 (+.f64 (exp.f64 b) a))) 1))
1.0ms	a	@	inf	(log.f64 (-.f64 (+.f64 1 (+.f64 1 (+.f64 (exp.f64 b) a))) 1))
1.0ms	a	@	-inf	(log.f64 (-.f64 (+.f64 1 (+.f64 1 (+.f64 (exp.f64 b) a))) 1))
1.0ms	a	@	0	(log.f64 (-.f64 (+.f64 1 (+.f64 1 (+.f64 (exp.f64 b) a))) 1))

rewrite155.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`fma-def_binary64`
446×	`log-prod_binary64`
328×	`pow-prod-down_binary64`
310×	`fma-neg_binary64`
270×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	230	26
2	3479	26

Stop Event

1×	node limit

Counts

3 → 242

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-/r*_binary64`
510×	`distribute-rgt-in_binary64`
505×	`distribute-lft-in_binary64`
411×	`associate-+l+_binary64`
394×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	990
1	283	950
2	908	939
3	4060	937

Stop Event

1×	node limit

Counts

314 → 289

Calls

Call 1

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

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

eval267.0ms (1.3%)

Compiler: Compiled 10692 to 6076 computations (43.2% saved)

prune115.0ms (0.6%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	586	17	603
Fresh	7	3	10
Picked	1	0	1
Done	1	5	6
Total	595	25	620

Error

1.0b

Counts

620 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	19.0b	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 3))
✓	27.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	63.0b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))))
	31.2b	(log.f64 (-.f64 (+.f64 2 (+.f64 a (exp.f64 b))) 1))
	25.9b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (*.f64 b 1/2))))
	24.7b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	25.3b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))
	31.8b	(log.f64 (+.f64 2 (+.f64 a b)))
	23.6b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))
▶	17.7b	(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
✓	30.2b	(log1p.f64 (exp.f64 a))
▶	32.2b	(log.f64 (+.f64 2 a))
	30.5b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	2.8b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)))
▶	31.2b	(log1p.f64 (+.f64 (exp.f64 b) a))
	63.0b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
✓	31.0b	(log.f64 2)
	30.6b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
	19.2b	(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))
✓	30.1b	(log1p.f64 (exp.f64 b))
	32.5b	(/.f64 b (+.f64 1 (exp.f64 a)))
	25.3b	(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))
▶	2.2b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))
▶	2.5b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))
✓	31.4b	(+.f64 (*.f64 1/2 a) (log.f64 2))

Compiler

Compiled 630 to 457 computations (27.5% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))
✓	0.0b	(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
✓	0.1b	(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓	0.1b	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))

Compiler

Compiled 68 to 40 computations (41.2% saved)

series51.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
22.0ms	a	@	-inf	(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
16.0ms	a	@	inf	(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
3.0ms	a	@	0	(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
2.0ms	b	@	-inf	(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
2.0ms	b	@	inf	(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
331×	`fma-def_binary64`
329×	`pow-prod-down_binary64`
287×	`pow2_binary64`
206×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	251	49
2	3119	49

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 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simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-/l*_binary64`
877×	`distribute-rgt-in_binary64`
855×	`distribute-lft-in_binary64`
255×	`fma-def_binary64`
205×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	3327
1	879	3001
2	3652	2757

Stop Event

1×	node limit

Counts

277 → 265

Calls

Call 1

Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 1 b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(log.f64 (+.f64 (*.f64 1/2 b) 1))
(+.f64 (log.f64 (+.f64 (.f64 1/2 b) 1)) (.f64 -1/4 (/.f64 (.f64 a b) (+.f64 (.f64 1/2 b) 1))))
(+.f64 (log.f64 (+.f64 (.f64 1/2 b) 1)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) (+.f64 (.f64 1/2 b) 1)))))) (.f64 -1/4 (/.f64 (.f64 a b) (+.f64 (.f64 1/2 b) 1)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -3/2 (/.f64 (.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) b) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 (.f64 1/2 b) 1) 3))) (.f64 -6 (/.f64 (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) 1))))))) (+.f64 (log.f64 (+.f64 (.f64 1/2 b) 1)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) (+.f64 (.f64 1/2 b) 1)))))) (.f64 -1/4 (/.f64 (.f64 a b) (+.f64 (.f64 1/2 b) 1))))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (.f64 7/6 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 7/6 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 -35/24 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 (exp.f64 a) (.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (/.f64 1 (.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) b)) (log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))))))
(+.f64 (/.f64 1 (.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (/.f64 (exp.f64 a) (.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) 2))) (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))))))) (pow.f64 b 2))) (log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))))))))
(+.f64 (/.f64 1 (.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (/.f64 (exp.f64 a) (.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) 2))) (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b)))))))) (pow.f64 b 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))) 3))) (.f64 2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (.f64 -1 (log.f64 (/.f64 1 b))))))))) (pow.f64 b 3))) (log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))))))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))
(+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (+.f64 (/.f64 1 (.f64 b (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (/.f64 (exp.f64 a) (.f64 b (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))) 2)))) (pow.f64 b 2))) (+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (+.f64 (/.f64 1 (.f64 b (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (/.f64 (exp.f64 a) (.f64 b (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))))))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))) 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))) 3))) (.f64 -2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))) 2)))) (pow.f64 b 2))) (+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (+.f64 (/.f64 1 (.f64 b (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (/.f64 (exp.f64 a) (.f64 b (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 a b) (.f64 (+.f64 (.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))) (log.f64 (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 a b) (.f64 (+.f64 (.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))) (+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 (+.f64 (.f64 1/2 b) 1) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1))) 2)))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 (+.f64 (.f64 1/2 b) 1) 2) (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))) (.f64 -2 (/.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) (.f64 (+.f64 (.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))))) (pow.f64 a 2)))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3/2 (/.f64 (.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) b) (.f64 (pow.f64 (+.f64 (.f64 1/2 b) 1) 2) (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))) (+.f64 (.f64 3/4 (/.f64 (.f64 b (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (.f64 1/2 b) 1) 2))) (.f64 -2 (/.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) (+.f64 (.f64 1/2 b) 1))))) (.f64 (+.f64 (.f64 1/2 b) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1))) 2)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 (.f64 1/2 b) 1) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1))) 3)))) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 (.f64 1/2 b) 1) 3) (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))) (.f64 -6 (/.f64 (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (.f64 (+.f64 (.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 a b) (.f64 (+.f64 (.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))) (+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 (+.f64 (.f64 1/2 b) 1) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1))) 2)))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 (+.f64 (.f64 1/2 b) 1) 2) (+.f64 1 (log.f64 (+.f64 (.f64 1/2 b) 1)))))) (.f64 -2 (/.f64 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)) (.f64 (+.f64 (.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))))) (pow.f64 a 2))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`pow1_binary64`
513×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
505×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	108	6
2	1340	6

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-l_binary64`
495×	`fma-def_binary64`
414×	`fma-neg_binary64`
374×	`cancel-sign-sub-inv_binary64`
347×	`associate--l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	185
1	131	159
2	323	159
3	952	153
4	3054	153
5	7880	153

Stop Event

1×	node limit

Counts

32 → 39

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/24 (pow.f64 a 3)) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 a)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (.f64 2 (/.f64 1 a)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (.f64 2 (/.f64 1 a))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (.f64 2 (/.f64 1 a)))) (.f64 2 (/.f64 1 (pow.f64 a 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 a)) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a))))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 2 (/.f64 1 (pow.f64 a 2))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 -1/8 (pow.f64 a 2)) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 -1/8 (*.f64 a a) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 a (*.f64 a -1/8) (log.f64 2)))
(fma.f64 a (fma.f64 a -1/8 1/2) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (.f64 1/24 (pow.f64 a 3)) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (log.f64 2))))
(fma.f64 1/2 a (fma.f64 1/24 (pow.f64 a 3) (fma.f64 -1/8 (*.f64 a a) (log.f64 2))))
(fma.f64 1/2 a (fma.f64 a (*.f64 a -1/8) (fma.f64 1/24 (pow.f64 a 3) (log.f64 2))))
(fma.f64 1/2 a (fma.f64 (*.f64 a a) (fma.f64 a 1/24 -1/8) (log.f64 2)))
(fma.f64 a (fma.f64 a -1/8 1/2) (fma.f64 1/24 (pow.f64 a 3) (log.f64 2)))
(*.f64 -1 (log.f64 (/.f64 1 a)))
(neg.f64 (neg.f64 (log.f64 a)))
(log.f64 a)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (.f64 2 (/.f64 1 a)))
(fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a))
(+.f64 (log.f64 a) (/.f64 2 a))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (.f64 2 (/.f64 1 a))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (/.f64 2 (*.f64 a a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 2 a) (/.f64 -2 (*.f64 a a))))
(+.f64 (log.f64 a) (-.f64 (/.f64 2 a) (/.f64 2 (*.f64 a a))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (.f64 2 (/.f64 1 a)))) (.f64 2 (/.f64 1 (pow.f64 a 2))))
(+.f64 (/.f64 8/3 (pow.f64 a 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (/.f64 2 (*.f64 a a))))
(+.f64 (+.f64 (log.f64 a) (/.f64 2 a)) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (/.f64 -2 (*.f64 a a))))
(+.f64 (/.f64 2 a) (+.f64 (-.f64 (log.f64 a) (/.f64 2 (*.f64 a a))) (/.f64 8/3 (pow.f64 a 3))))
(+.f64 (log.f64 a) (+.f64 (/.f64 2 a) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (/.f64 -2 (*.f64 a a)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(neg.f64 (neg.f64 (log.f64 a)))
(log.f64 a)
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 a)) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a))
(+.f64 (log.f64 a) (/.f64 2 a))
(-.f64 (+.f64 (.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a))))) (*.f64 2 (/.f64 1 (pow.f64 a 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (/.f64 2 (*.f64 a a)))
(+.f64 (log.f64 a) (+.f64 (/.f64 2 a) (/.f64 -2 (*.f64 a a))))
(+.f64 (log.f64 a) (-.f64 (/.f64 2 a) (/.f64 2 (*.f64 a a))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 2 (/.f64 1 a)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 2 (/.f64 1 (pow.f64 a 2))))
(+.f64 (/.f64 8/3 (pow.f64 a 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 a)) (/.f64 2 a)) (/.f64 2 (*.f64 a a))))
(+.f64 (+.f64 (log.f64 a) (/.f64 2 a)) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (/.f64 -2 (*.f64 a a))))
(+.f64 (/.f64 2 a) (+.f64 (-.f64 (log.f64 a) (/.f64 2 (*.f64 a a))) (/.f64 8/3 (pow.f64 a 3))))
(+.f64 (log.f64 a) (+.f64 (/.f64 2 a) (+.f64 (/.f64 8/3 (pow.f64 a 3)) (/.f64 -2 (*.f64 a a)))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(log1p.f64 (+.f64 (exp.f64 b) a))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`pow1_binary64`
610×	`add-log-exp_binary64`
610×	`expm1-log1p-u_binary64`
609×	`log1p-expm1-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	123	8
2	1658	8

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

735×	`associate-/r*_binary64`
488×	`distribute-rgt-in_binary64`
469×	`distribute-lft-in_binary64`
398×	`associate-/r/_binary64`
320×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	568
1	245	536
2	782	525
3	3486	523

Stop Event

1×	node limit

Counts

39 → 43

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 b (+.f64 (exp.f64 a) 1))
✓	0.0b	(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
✓	0.1b	(log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
✓	1.4b	(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series48.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	a	@	-inf	(log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
16.0ms	a	@	inf	(log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
1.0ms	a	@	0	(log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	0	(log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
1.0ms	b	@	inf	(log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`prod-diff_binary64`
490×	`log-prod_binary64`
330×	`fma-def_binary64`
267×	`pow2_binary64`
186×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	215	50
2	2863	50

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

Inputs

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

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

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

Outputs

((#(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 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

780×	`times-frac_binary64`
560×	`associate-r_binary64`
543×	`fma-def_binary64`
526×	`associate-l_binary64`
415×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1859
1	442	1743
2	1678	1650

Stop Event

1×	node limit

Counts

271 → 168

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)))) (+.f64 (/.f64 b (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a)))) b)))
(+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 (.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a)))) b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)) (pow.f64 b 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2)))))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (log.f64 (+.f64 (.f64 1/2 b) (log.f64 2))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(+.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2)))) (.f64 1/4 (/.f64 b (+.f64 (.f64 1/2 b) (log.f64 2)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (/.f64 (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))) (+.f64 (.f64 1/2 b) (log.f64 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 3) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 3))) (.f64 -6 (/.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (.f64 1/4 b)) 2) (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 2 (/.f64 (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))) (+.f64 (.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.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))))

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

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))
✓	0.3b	(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))
✓	0.5b	(pow.f64 (cbrt.f64 b) 2)
✓	0.6b	(cbrt.f64 b)

Compiler

Compiled 56 to 27 computations (51.8% saved)

series18.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))
2.0ms	a	@	inf	(/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))
2.0ms	b	@	inf	(pow.f64 (cbrt.f64 b) 2)
2.0ms	b	@	0	(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))
1.0ms	a	@	inf	(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
298×	`pow-prod-down_binary64`
273×	`pow2_binary64`
192×	`pow1/3_binary64`
187×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	234	29
2	3081	29

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b 1/6) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b b) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 b) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 b) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 b)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 b)) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 b) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 b) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b 1/6) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 5) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (/.f64 1 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 b (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 b) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 b)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 b) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 b) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 b)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 b)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 b) (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 b) (.f64 (cbrt.f64 b) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 4) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 (exp.f64 a))) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 b) 1) (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 4) (+.f64 (exp.f64 a) 1)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (/.f64 1 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 b) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) -2))) (/.f64 (cbrt.f64 b) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))) -2) (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 4) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) -2))) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) -1/2) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 4) (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2) (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 -1 (neg.f64 (exp.f64 a)))) (neg.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1)) 1) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (cbrt.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1)) (pow.f64 b 1/6)) (pow.f64 b 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 b b) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 -1 (neg.f64 (exp.f64 a))) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (.f64 b b) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 a) 1) (/.f64 1 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) -2)) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (neg.f64 (exp.f64 a))) (/.f64 1 (neg.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 b)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 b)) -2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 b)) 2)) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -1/6) (/.f64 (+.f64 (exp.f64 a) 1) (pow.f64 b 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (pow.f64 b 1/6)) (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 b 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (exp.f64 a) 1) (neg.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 (cbrt.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 (cbrt.f64 b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 (cbrt.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 (cbrt.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 (cbrt.f64 b)) (log1p.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 (cbrt.f64 b))) 1) 1))))))

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

560×	`cancel-sign-sub-inv_binary64`
535×	`associate-+l+_binary64`
510×	`fma-neg_binary64`
368×	`fma-def_binary64`
309×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	474
1	163	441
2	630	410
3	3007	401

Stop Event

1×	node limit

Counts

196 → 178

Calls

Call 1

Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 2 (pow.f64 (/.f64 1 b) 1/3))
(+.f64 (.f64 (pow.f64 (/.f64 1 b) 1/3) a) (.f64 2 (pow.f64 (/.f64 1 b) 1/3)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 b) 1/3) (pow.f64 a 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 b) 1/3) a) (.f64 2 (pow.f64 (/.f64 1 b) 1/3))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 b) 1/3) (pow.f64 a 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 b) 1/3) a) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 b) 1/3) (pow.f64 a 3))) (.f64 2 (pow.f64 (/.f64 1 b) 1/3)))))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 b) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 b) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 b) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 b) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 b) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 b) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 b) 1/3))
(*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (/.f64 1 b) 1/3))

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

eval294.0ms (1.4%)

Compiler: Compiled 16855 to 10113 computations (40% saved)

prune108.0ms (0.5%)

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	718	11	729
Fresh	8	7	15
Picked	1	0	1
Done	2	7	9
Total	729	25	754

Error

1.0b

Counts

754 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.3b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	18.4b	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 3))
	63.0b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))))
	31.2b	(log.f64 (-.f64 (+.f64 2 (+.f64 a (exp.f64 b))) 1))
	25.9b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (*.f64 b 1/2))))
	25.3b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))
✓	30.2b	(log1p.f64 (exp.f64 a))
✓	32.2b	(log.f64 (+.f64 2 a))
	30.5b	(+.f64 (*.f64 1/2 b) (log.f64 2))
	49.9b	(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (-.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))
	19.2b	(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))
	63.1b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 b (.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) b))) (log1p.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (/.f64 1 (+.f64 b (.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) b)))))))
	63.0b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
	32.5b	(/.f64 b (+.f64 1 (exp.f64 a)))
	25.9b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 b 1/2))))))
	32.6b	(-.f64 (+.f64 1 (log.f64 (+.f64 2 a))) 1)
✓	31.2b	(log1p.f64 (+.f64 (exp.f64 b) a))
✓	31.0b	(log.f64 2)
	31.8b	(log.f64 (+.f64 2 (+.f64 a b)))
✓	30.1b	(log1p.f64 (exp.f64 b))
	30.5b	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
	27.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b))))))))
	25.8b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 2 (cbrt.f64 (/.f64 1 b)))))
	2.8b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 3))))
✓	31.4b	(+.f64 (*.f64 1/2 a) (log.f64 2))

Compiler

Compiled 365 to 265 computations (27.4% saved)

regimes136.0ms (0.7%)

Counts

53 → 1

Calls

Call 1

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

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

Calls

9 calls:

32.0ms	b
30.0ms	a
15.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
1.9b	1	`a`
1.9b	1	`b`
1.9b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.9b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.9b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.9b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.9b	1	`(exp.f64 a)`
1.9b	1	`(exp.f64 b)`
1.9b	1	`(exp.f64 b)`

Compiler

Compiled 661 to 358 computations (45.8% saved)

regimes202.0ms (1%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

9 calls:

118.0ms	b
26.0ms	a
8.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Error	Segments	Branch
1.3b	2	`a`
15.7b	10	`b`
2.0b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.0b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.0b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.0b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	2	`(exp.f64 a)`
26.1b	2	`(exp.f64 b)`
26.1b	2	`(exp.f64 b)`

Compiler

Compiled 204 to 129 computations (36.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2986654869071532e-167	0.49692303263955406

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes448.0ms (2.2%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

6 calls:

385.0ms	b
25.0ms	a
12.0ms	(exp.f64 b)
9.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.7b	2	`a`
15.4b	11	`b`
1.7b	2	`(exp.f64 a)`
1.7b	2	`(exp.f64 a)`
26.0b	3	`(exp.f64 b)`
26.0b	3	`(exp.f64 b)`

Compiler

Compiled 154 to 97 computations (37% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2986654869071532e-167	0.49692303263955406

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes234.0ms (1.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

5 calls:

193.0ms	b
17.0ms	a
8.0ms	(exp.f64 b)
8.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
1.8b	2	`a`
16.4b	10	`b`
1.8b	2	`(exp.f64 a)`
26.2b	3	`(exp.f64 b)`
26.2b	3	`(exp.f64 b)`

Compiler

Compiled 89 to 62 computations (30.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2986654869071532e-167	0.49692303263955406

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes99.0ms (0.5%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

75.0ms	b
17.0ms	a
5.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.3b	2	`a`
15.8b	11	`b`
2.3b	2	`(exp.f64 a)`

Compiler

Compiled 72 to 53 computations (26.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2986654869071532e-167	0.49692303263955406

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes74.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	b
10.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.3b	2	`a`
15.9b	11	`b`
2.3b	2	`(exp.f64 a)`
2.3b	2	`(exp.f64 a)`

Compiler

Compiled 38 to 28 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2986654869071532e-167	0.49692303263955406

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes106.0ms (0.5%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

78.0ms	b
17.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.7b	2	`a`
15.9b	11	`b`
2.7b	2	`(exp.f64 a)`
2.7b	2	`(exp.f64 a)`

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch50.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
50.0ms	-384.2703733413329	-0.6993201287824787

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes19.0ms (0.1%)

Accuracy

Total -1.2b remaining (-3.8%)

Threshold costs -1.2b (-3.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(log.f64 2)

Calls

2 calls:

8.0ms	a
8.0ms	b

Results

Error	Segments	Branch
31.0b	1	`a`
31.0b	1	`b`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	166
1	47	166

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 b) a)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 2 (+.f64 a b))))
(if (<=.f64 a -6760155899177923/17592186044416) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 2 a)))
(log.f64 2)

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 (exp.f64 b) a)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (+.f64 a (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 2 (+.f64 a b))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 2 (+.f64 a b))))
(if (<=.f64 a -6760155899177923/17592186044416) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -6760155899177923/17592186044416) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 a 2)))
(log.f64 2)

Compiler

Compiled 123 to 86 computations (30.1% saved)

soundness86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64`
670×	`distribute-lft-in_binary64`
483×	`associate-*l/_binary64`
432×	`associate-*r/_binary64`
377×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	440
1	214	434
2	668	428
3	3076	416

Stop Event

1×	node limit

Compiler

Compiled 26 to 18 computations (30.8% saved)

end180.0ms (0.9%)

Compiler: Compiled 147 to 88 computations (40.1% saved)