Details

analyze194.0ms (0.8%)

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)

sample13.6s (59%)

Results

10.4s	7782×	body	8192	exit
1.7s	2023×	body	1024	valid
536.0ms	4285×	body	64	valid
482.0ms	969×	body	512	valid
222.0ms	215×	body	2048	valid
171.0ms	519×	body	256	valid
64.0ms	245×	body	128	valid

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	9	20
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

28.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	28.1b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	3.5b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series79.0ms (0.3%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
19.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	b	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite53.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

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

Outputs

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

simplify32.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

691×	`distribute-rgt-in_binary64`
678×	`distribute-lft-in_binary64`
456×	`associate-*l/_binary64`
412×	`associate-*r/_binary64`
359×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	440
1	214	434
2	668	428
3	3090	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)))))
(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 (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 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (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 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (.f64 (.f64 1/6 (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)))))
(+.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 a (*.f64 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 (pow.f64 a 3) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (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)))))
(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 (.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 (+.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)))) (.f64 1/6 (pow.f64 b 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 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (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 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (+.f64 1 a) (exp.f64 b))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (exp.f64 b) (fma.f64 a (*.f64 a 1/2) (+.f64 1 a)))
(+.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 (+.f64 1 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 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (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 (exp.f64 a) (+.f64 b (fma.f64 1/2 (*.f64 b b) 1)))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(+.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 1))
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (fma.f64 1/6 (pow.f64 b 3) 1)))

prune113.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	3	87

Error

0.4b

Counts

87 → 3

Alt Table

Status	Error	Program
	30.7b	(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log1p.f64 (exp.f64 b))))
	28.4b	(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	1.3b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Status

Error

Program

30.7b

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

28.4b

(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

▶

1.3b

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

Compiler

Compiled 1438 to 713 computations (50.4% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

series55.0ms (0.2%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
18.0ms	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))))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`prod-diff_binary64`
454×	`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	22
1	189	22
2	2657	22

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

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

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

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

437×	`sub-neg_binary64`
324×	`distribute-rgt-neg-in_binary64`
315×	`+-commutative_binary64`
308×	`*-commutative_binary64`
285×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	439
1	155	416
2	525	407
3	1939	405
4	4749	405
5	7688	405

Stop Event

1×	node limit

Counts

144 → 135

Calls

Call 1

Inputs
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.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
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 (fma.f64 1/6 (pow.f64 a 3) a) (fma.f64 a (*.f64 a 1/2) 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 a (*.f64 a 1/8) (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 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (.f64 b -1/4)) (fma.f64 1/2 b (-.f64 (fma.f64 (.f64 a a) 1/8 (log.f64 2)) (.f64 (pow.f64 a 3) (+.f64 0 (.f64 b -1/48))))))
(-.f64 (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 a (.f64 a 1/8) (fma.f64 1/2 b (log.f64 2)))) (.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (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))))

prune389.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	135	3	138

Error

0.4b

Counts

138 → 3

Alt Table

Status

Error

Program

30.7b

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

▶

1.3b

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))

28.4b

(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 2558 to 1285 computations (49.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
✓	0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)
✓	0.5b	(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
✓	0.8b	(cbrt.f64 (log1p.f64 (exp.f64 a)))

series187.0ms (0.8%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
84.0ms	a	@	inf	(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
45.0ms	a	@	-inf	(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
21.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
15.0ms	a	@	inf	(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
12.0ms	a	@	0	(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`pow1_binary64`
853×	`expm1-log1p-u_binary64`
852×	`add-log-exp_binary64`
852×	`log1p-expm1-u_binary64`
824×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	240	34
2	2614	34

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

Inputs
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))

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

simplify139.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

519×	`+-commutative_binary64`
376×	`associate-/r*_binary64`
325×	`fma-def_binary64`
322×	`associate-r_binary64`
296×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	5301
1	883	5251
2	4143	5059
3	5871	4894

Stop Event

1×	node limit

Counts

129 → 118

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (.f64 1/3 (.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (.f64 1/3 (.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 2) 1/9)
(+.f64 (.f64 1/18 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9))
(+.f64 (.f64 (pow.f64 (log.f64 2) 1/9) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (.f64 1/18 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9)))
(+.f64 (.f64 (pow.f64 (log.f64 2) 1/9) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (.f64 1/18 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/324 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (.f64 1/54 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 a 3)) (pow.f64 (log.f64 2) 1/9)) (pow.f64 (log.f64 2) 1/9))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (pow.f64 (log.f64 2) 2) 1/9)
(+.f64 (.f64 1/9 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (pow.f64 (pow.f64 (log.f64 2) 2) 1/9))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))))
(+.f64 (.f64 1/9 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/324 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (.f64 1/54 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 (pow.f64 (log.f64 2) 2) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9)
2
(+.f64 2 (.f64 2 (.f64 a (+.f64 1/18 (.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 1/3 (pow.f64 (log.f64 2) 1/3))))))))
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1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))))) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3)))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) 3)) (.f64 1/6 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 6 (+.f64 (.f64 1/3 (.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (+.f64 (.f64 1/162 (pow.f64 (log.f64 2) 1/3)) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))) (+.f64 (.f64 -2 (.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))) (.f64 2/27 (pow.f64 (log.f64 2) 1/3)))))))))))) (+.f64 (.f64 2 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) 3)) (.f64 -6 (.f64 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) 2)) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))))) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))))))))) (+.f64 (.f64 (pow.f64 (log.f64 2) 1/9) (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (.f64 (+.f64 (.f64 1/324 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (.f64 1/54 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (log.f64 2)) (+.f64 (.f64 (+.f64 1/18 (.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))))) (+.f64 (.f64 (log.f64 2) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))))) (.f64 1/2 (.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) 2)) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))))) (.f64 -1 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) 2)))))))) (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) 2)) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))))) (.f64 -1 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) 2))))) (.f64 1/6 (pow.f64 (+.f64 1/18 (.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))))) 3))))))) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 a (+.f64 1/18 (.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))))))) (.f64 2 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/2 (pow.f64 (+.f64 1/18 (.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))))) 2)) (+.f64 (.f64 (log.f64 2) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))))) (.f64 1/2 (.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) 2)) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (.f64 2 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (.f64 2 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (.f64 1/18 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))))) (.f64 -1 (pow.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (.f64 1/3 (pow.f64 (log.f64 2) 1/3))) 2)))))))))))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))

Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))
(+.f64 (cbrt.f64 (log.f64 2)) (.f64 (.f64 1/6 a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))))
(fma.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) a)) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/6 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (.f64 1/3 (.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (.f64 1/3 (.f64 (.f64 a a) (.f64 (+.f64 1/8 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))
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(/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (.f64 (.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)))) (fma.f64 1/6 (+.f64 (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 3) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (fma.f64 6 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (fma.f64 (cbrt.f64 (log.f64 2)) 1/162 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) -2/3) (fma.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))))))) (fma.f64 (.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) -2) (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (fma.f64 1/18 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (.f64 (cbrt.f64 (log.f64 2)) 2/27))))) (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/27 (fma.f64 (fma.f64 2 (.f64 (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) 1/324))) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (.f64 (fma.f64 2 (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (fma.f64 1/18 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (.f64 (.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) 1/2))))))))) (fma.f64 -6 (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) (fma.f64 1/2 (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 2) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/27 (fma.f64 (fma.f64 2 (.f64 (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) 1/324))) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (.f64 (fma.f64 2 (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (fma.f64 1/18 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (.f64 (.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) 1/2)))))) (.f64 2 (pow.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 3))))) (.f64 (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2))))))))) (.f64 a (+.f64 (.f64 (+.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (.f64 2 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/27 (fma.f64 (fma.f64 2 (.f64 (+.f64 (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) 1/324))) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (.f64 (fma.f64 2 (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (fma.f64 1/18 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (.f64 (.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) 1/2)))))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18)) (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 1/18))) (fma.f64 1/2 (pow.f64 (fma.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 1/18) 2) (fma.f64 (log.f64 2) (+.f64 (/.f64 1/72 (log.f64 2)) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (log.f64 2))))) a) (fma.f64 (.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 1/3 (cbrt.f64 (log.f64 2)))) 1/18))))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))

prune1.5s (6.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	213	3	216

Error

0.4b

Counts

216 → 3

Alt Table

Status

Error

Program

30.7b

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

28.4b

(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

▶

1.3b

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))

Compiler

Compiled 12521 to 8801 computations (29.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)
✓	0.5b	(cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
	0.5b	(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
	0.8b	(cbrt.f64 (log1p.f64 (exp.f64 a)))

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
1.0ms	a	@	inf	(cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
1.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))

rewrite34.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`pow1_binary64`
485×	`add-sqr-sqrt_binary64`
468×	`add-log-exp_binary64`
468×	`expm1-log1p-u_binary64`
467×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	125	11
2	1341	11

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))

Outputs

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

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

808×	`distribute-rgt-in_binary64`
790×	`distribute-lft-in_binary64`
534×	`associate-*l/_binary64`
388×	`distribute-rgt-out_binary64`
289×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	469
1	179	448
2	577	431
3	2993	406

Stop Event

1×	node limit

Counts

31 → 29

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/27)
(+.f64 (.f64 1/54 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (pow.f64 (log.f64 2) 1/27))
(+.f64 (.f64 1/54 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (+.f64 (pow.f64 (log.f64 2) 1/27) (.f64 (pow.f64 (log.f64 2) 1/27) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/54 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/5832 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))
(+.f64 (.f64 1/54 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (+.f64 (pow.f64 (log.f64 2) 1/27) (+.f64 (.f64 (pow.f64 (log.f64 2) 1/27) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/162 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (+.f64 (.f64 1/944784 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 1/2916 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))))))) (.f64 (pow.f64 (log.f64 2) 1/27) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/54 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/5832 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)

Outputs
(pow.f64 (log.f64 2) 1/27)
(*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))
(+.f64 (.f64 1/54 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (pow.f64 (log.f64 2) 1/27))
(fma.f64 1/54 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)))
(fma.f64 1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)))
(+.f64 (.f64 1/54 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (+.f64 (pow.f64 (log.f64 2) 1/27) (.f64 (pow.f64 (log.f64 2) 1/27) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/54 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (.f64 1/5832 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))
(+.f64 (fma.f64 1/54 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))) (.f64 (.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (.f64 (fma.f64 1/54 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/5832 (pow.f64 (log.f64 2) 2))) (*.f64 a a))))
(fma.f64 1/54 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (.f64 (+.f64 (.f64 a (.f64 a (fma.f64 1/54 (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/5832 (pow.f64 (log.f64 2) 2))))) 1) (.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))))
(fma.f64 1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (.f64 (.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (fma.f64 (+.f64 (/.f64 1/216 (log.f64 2)) (+.f64 (/.f64 -1/216 (pow.f64 (log.f64 2) 2)) (/.f64 1/5832 (pow.f64 (log.f64 2) 2)))) (*.f64 a a) 1)))
(fma.f64 1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (.f64 (.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (fma.f64 a (.f64 a (+.f64 (/.f64 1/216 (log.f64 2)) (.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) -13/2916))) 1)))
(+.f64 (.f64 1/54 (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (+.f64 (pow.f64 (log.f64 2) 1/27) (+.f64 (.f64 (pow.f64 (log.f64 2) 1/27) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/162 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (+.f64 (.f64 1/944784 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 1/2916 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))))))) (.f64 (pow.f64 (log.f64 2) 1/27) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/54 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/5832 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))
(+.f64 (fma.f64 1/54 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))) (.f64 (.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (+.f64 (.f64 (pow.f64 a 3) (fma.f64 1/162 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 3/8 (pow.f64 (log.f64 2) 2))) (+.f64 (/.f64 1/944784 (pow.f64 (log.f64 2) 3)) (.f64 1/2916 (/.f64 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (log.f64 2)))))) (.f64 (fma.f64 1/54 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/5832 (pow.f64 (log.f64 2) 2))) (*.f64 a a)))))
(fma.f64 1/54 (.f64 a (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (fma.f64 (.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (fma.f64 (pow.f64 a 3) (fma.f64 1/162 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 -3/8 (pow.f64 (log.f64 2) 2))) (fma.f64 1/2916 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 3))) (/.f64 1/944784 (pow.f64 (log.f64 2) 3)))) (.f64 a (.f64 a (fma.f64 1/54 (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/5832 (pow.f64 (log.f64 2) 2)))))) (.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))))
(fma.f64 1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (.f64 (+.f64 (.f64 (.f64 a a) (+.f64 (+.f64 (/.f64 1/216 (log.f64 2)) (+.f64 (/.f64 -1/216 (pow.f64 (log.f64 2) 2)) (/.f64 1/5832 (pow.f64 (log.f64 2) 2)))) (.f64 a (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 3)) (/.f64 -1/432 (pow.f64 (log.f64 2) 2))) (fma.f64 1/2916 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 3))) (/.f64 1/944784 (pow.f64 (log.f64 2) 3))))))) 1) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))))
(fma.f64 1/54 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (.f64 (+.f64 (.f64 (.f64 a a) (+.f64 (+.f64 (/.f64 1/216 (log.f64 2)) (.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) -13/2916)) (.f64 a (+.f64 (+.f64 (/.f64 1/11664 (pow.f64 (log.f64 2) 2)) (/.f64 -1/11664 (pow.f64 (log.f64 2) 3))) (+.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)) 1459/944784) (/.f64 -1/432 (pow.f64 (log.f64 2) 2))))))) 1) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54))

prune6.3s (27.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	424	1	425
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	425	3	428

Error

0.4b

Counts

428 → 3

Alt Table

Status

Error

Program

30.7b

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

28.4b

(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

1.3b

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))

Compiler

Compiled 26085 to 12883 computations (50.6% saved)

regimes29.0ms (0.1%)

Accuracy

Total -30.3b remaining (-2380.1%)

Threshold costs -30.3b (-2380.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))

Results

5.0ms	1.3b	`a`
4.0ms	1.3b	`b`
2.0ms	1.3b	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.0ms	1.3b	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.0ms	1.3b	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.0ms	1.3b	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.0ms	1.3b	`(exp.f64 a)`
2.0ms	1.3b	`(exp.f64 b)`
3.0ms	1.3b	`(exp.f64 b)`

Compiler

Compiled 225 to 110 computations (51.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	86
1	25	86

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))

Outputs

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))

(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))

end45.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 204 to 96 computations (52.9% saved)

Details

analyze194.0ms (0.8%)

sample13.6s (59%)

preprocess13.0ms (0.1%)

simplify11.0ms (0%)

prune2.0ms (0%)

localize5.0ms (0%)

series79.0ms (0.3%)

rewrite53.0ms (0.2%)

simplify32.0ms (0.1%)

prune113.0ms (0.5%)

localize6.0ms (0%)

series55.0ms (0.2%)

rewrite64.0ms (0.3%)

simplify63.0ms (0.3%)

prune389.0ms (1.7%)

localize13.0ms (0.1%)

series187.0ms (0.8%)

rewrite62.0ms (0.3%)

simplify139.0ms (0.6%)

prune1.5s (6.4%)

localize18.0ms (0.1%)

series3.0ms (0%)

rewrite34.0ms (0.1%)

simplify35.0ms (0.2%)

prune6.3s (27.5%)

regimes29.0ms (0.1%)

simplify2.0ms (0%)

end45.0ms (0.2%)

Profiling