Details

analyze224.0ms (2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
12.5%	71.8%	15.7%	6
20.3%	62.4%	17.3%	7
21.1%	53.1%	25.9%	8
25.4%	47.6%	27%	9
26%	41.2%	32.9%	10
28.3%	38%	33.7%	11
28.6%	35.5%	36%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample9.5s (83.6%)

Results

4.9s	1613×	body	8192	exit
2.3s	3303×	body	1024	invalid
1.0s	7945×	body	64	valid
775.0ms	1681×	body	512	invalid
280.0ms	811×	body	256	invalid
136.0ms	1005×	body	64	invalid
77.0ms	311×	body	128	valid
55.0ms	249×	body	128	invalid
4.0ms	5×	body	2048	invalid
3.0ms	1×	body	8192	invalid
2.0ms	1×	body	4096	invalid

preprocess86.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

610×	`sqr-pow_binary64`
409×	`associate-l_binary64`
402×	`pow-sqr_binary64`
386×	`associate-/l*_binary64`
354×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	31	26
2	67	22
3	157	22
4	495	22
5	2153	22
6	3948	22
7	4105	22
8	4337	22
9	4787	22
10	5633	22
11	7194	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(*.f64 (exp.f64 (neg.f64 l)) (pow.f64 w (exp.f64 l)))

Outputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(*.f64 (exp.f64 (neg.f64 l)) (pow.f64 w (exp.f64 l)))
(/.f64 (pow.f64 w (exp.f64 l)) (exp.f64 l))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

956×	`associate-*l/_binary64`
656×	`unswap-sqr_binary64`
607×	`times-frac_binary64`
540×	`sqr-pow_binary64`
391×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	38	11
3	85	11
4	260	11
5	1105	11
6	4055	11
7	4154	11
8	4278	11
9	4515	11
10	4958	11
11	5771	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Outputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.4b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
	0.4b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))

Compiler

Compiled 55 to 32 computations (41.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
✓	0.4b	(pow.f64 l (exp.f64 w))

series68.0ms (0.6%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	l	@	0	(pow.f64 l (exp.f64 w))
21.0ms	l	@	-inf	(pow.f64 l (exp.f64 w))
11.0ms	w	@	inf	(pow.f64 l (exp.f64 w))
7.0ms	l	@	inf	(pow.f64 l (exp.f64 w))
1.0ms	w	@	0	(pow.f64 l (exp.f64 w))

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
557×	`add-log-exp_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
542×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	159	17
2	2001	17

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs
(pow.f64 l (exp.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

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

Outputs

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

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-def_binary64`
434×	`distribute-rgt-out_binary64`
431×	`distribute-lft-out_binary64`
425×	`+-commutative_binary64`
295×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	631
1	232	613
2	769	552
3	3845	544

Stop Event

1×	node limit

Counts

67 → 49

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
l
(+.f64 l (.f64 l (.f64 w (log.f64 l))))
(+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (.f64 w (log.f64 l)))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3))) (+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (*.f64 w (log.f64 l))))))
l
(+.f64 l (.f64 (+.f64 (.f64 -1 l) (*.f64 l (log.f64 l))) w))
(+.f64 l (+.f64 (.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 1/2 l) (.f64 -1 (.f64 l (log.f64 l))))) (pow.f64 w 2)) (.f64 (+.f64 (.f64 -1 l) (.f64 l (log.f64 l))) w)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 l (log.f64 l))) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 -1 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 -1/6 l)))) (pow.f64 w 3)) (+.f64 l (+.f64 (.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 1/2 l) (.f64 -1 (.f64 l (log.f64 l))))) (pow.f64 w 2)) (.f64 (+.f64 (.f64 -1 l) (.f64 l (log.f64 l))) w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))

Outputs
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
l
(+.f64 l (.f64 l (.f64 w (log.f64 l))))
(+.f64 l (.f64 l (.f64 (log.f64 l) w)))
(fma.f64 l (*.f64 (log.f64 l) w) l)
(*.f64 l (fma.f64 (log.f64 l) w 1))
(+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (.f64 w (log.f64 l)))))
(+.f64 l (.f64 l (+.f64 (.f64 (.f64 w w) (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (*.f64 (log.f64 l) w))))
(fma.f64 l (fma.f64 (.f64 w w) (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (*.f64 (log.f64 l) w)) l)
(fma.f64 l (.f64 w (+.f64 (log.f64 l) (.f64 w (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/2)))))) l)
(fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3))) (+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (*.f64 w (log.f64 l))))))
(fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3)) (+.f64 l (.f64 l (+.f64 (.f64 (.f64 w w) (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (*.f64 (log.f64 l) w)))))
(fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 (log.f64 l) 1/6 (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3)) (fma.f64 l (fma.f64 (.f64 w w) (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (*.f64 (log.f64 l) w)) l))
(fma.f64 l (.f64 w (+.f64 (log.f64 l) (.f64 w (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/2)))))) (fma.f64 (fma.f64 (log.f64 l) 1/6 (.f64 (pow.f64 (log.f64 l) 2) (+.f64 1/2 (.f64 (log.f64 l) 1/6)))) (*.f64 l (pow.f64 w 3)) l))
(fma.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (.f64 l (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
l
(+.f64 l (.f64 (+.f64 (.f64 -1 l) (*.f64 l (log.f64 l))) w))
(+.f64 l (.f64 w (fma.f64 -1 l (.f64 l (log.f64 l)))))
(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
(fma.f64 w (*.f64 l (+.f64 (log.f64 l) -1)) l)
(+.f64 l (+.f64 (.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 1/2 l) (.f64 -1 (.f64 l (log.f64 l))))) (pow.f64 w 2)) (.f64 (+.f64 (.f64 -1 l) (.f64 l (log.f64 l))) w)))
(+.f64 l (fma.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (fma.f64 1/2 l (.f64 (neg.f64 l) (log.f64 l)))) (.f64 w w) (.f64 w (fma.f64 -1 l (*.f64 l (log.f64 l))))))
(+.f64 l (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (.f64 w (.f64 w (-.f64 (.f64 l (+.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) 1/2)) (.f64 l (log.f64 l)))))))
(fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (fma.f64 w (.f64 w (*.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l)))) l))
(fma.f64 w (.f64 l (+.f64 (log.f64 l) -1)) (fma.f64 w (.f64 w (*.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l)))) l))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 l (log.f64 l))) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 -1 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 -1/6 l)))) (pow.f64 w 3)) (+.f64 l (+.f64 (.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 1/2 l) (.f64 -1 (.f64 l (log.f64 l))))) (pow.f64 w 2)) (.f64 (+.f64 (.f64 -1 l) (.f64 l (log.f64 l))) w))))
(fma.f64 (fma.f64 1/2 (.f64 l (log.f64 l)) (fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l (fma.f64 -1 (.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (.f64 l -1/6)))) (pow.f64 w 3) (+.f64 l (fma.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (fma.f64 1/2 l (.f64 (neg.f64 l) (log.f64 l)))) (.f64 w w) (.f64 w (fma.f64 -1 l (.f64 l (log.f64 l)))))))
(+.f64 (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (.f64 w (.f64 w (-.f64 (.f64 l (+.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) 1/2)) (.f64 l (log.f64 l)))))) (fma.f64 (pow.f64 w 3) (fma.f64 1/2 (.f64 l (log.f64 l)) (fma.f64 l (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 (log.f64 l) 1/6 (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (-.f64 (.f64 l -1/6) (.f64 (*.f64 l 1/2) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))))) l))
(fma.f64 (pow.f64 w 3) (fma.f64 l (.f64 (log.f64 l) 1/2) (fma.f64 l (fma.f64 (log.f64 l) 1/6 (.f64 (pow.f64 (log.f64 l) 2) (+.f64 1/2 (.f64 (log.f64 l) 1/6)))) (.f64 l (-.f64 -1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/2))))))) (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (fma.f64 w (.f64 w (*.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l)))) l)))
(fma.f64 (pow.f64 w 3) (-.f64 (.f64 l (+.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) -1/6)) (.f64 (.f64 l 1/2) (-.f64 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) (log.f64 l)))) (fma.f64 w (.f64 l (+.f64 (log.f64 l) -1)) (fma.f64 w (.f64 w (*.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l)))) l)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))

prune63.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Error

0.0b

Counts

51 → 4

Alt Table

Status	Error	Program
▶	0.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
✓	0.4b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
	15.7b	(fma.f64 (pow.f64 w 3) (-.f64 (.f64 l (+.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) -1/6)) (.f64 (.f64 l 1/2) (-.f64 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) (log.f64 l)))) (fma.f64 w (.f64 l (+.f64 (log.f64 l) -1)) (fma.f64 w (.f64 w (*.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l)))) l)))
	1.4b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w))))

Compiler

Compiled 1051 to 480 computations (54.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (pow.f64 l (exp.f64 w)))
✓	0.0b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
✓	0.4b	(*.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w))))
	0.4b	(pow.f64 l (exp.f64 w))

series7.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	w	@	0	(sqrt.f64 (pow.f64 l (exp.f64 w)))
0.0ms	l	@	0	(sqrt.f64 (pow.f64 l (exp.f64 w)))
0.0ms	l	@	-inf	(sqrt.f64 (pow.f64 l (exp.f64 w)))
0.0ms	l	@	inf	(sqrt.f64 (pow.f64 l (exp.f64 w)))
0.0ms	w	@	inf	(sqrt.f64 (pow.f64 l (exp.f64 w)))

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
647×	`add-log-exp_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	200	25
2	2293	25

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))

Inputs

(*.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w))))

(*.f64 (exp.f64 (neg.f64 w)) (*.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))

(sqrt.f64 (pow.f64 l (exp.f64 w)))

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

Outputs

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

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

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

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
531×	`associate-l_binary64`
495×	`associate-r_binary64`
391×	`cancel-sign-sub-inv_binary64`
312×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1020
1	313	985
2	1097	916
3	5934	898

Stop Event

1×	node limit

Counts

124 → 92

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
l
(+.f64 l (.f64 l (.f64 w (log.f64 l))))
(+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (.f64 w (log.f64 l)))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3))) (+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (*.f64 w (log.f64 l))))))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
l
(+.f64 l (.f64 (+.f64 (.f64 -1 l) (*.f64 l (log.f64 l))) w))
(+.f64 l (+.f64 (.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 1/2 l) (.f64 -1 (.f64 l (log.f64 l))))) (pow.f64 w 2)) (.f64 (+.f64 (.f64 -1 l) (.f64 l (log.f64 l))) w)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 l (log.f64 l))) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 -1 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 -1/6 l)))) (pow.f64 w 3)) (+.f64 l (+.f64 (.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 1/2 l) (.f64 -1 (.f64 l (log.f64 l))))) (pow.f64 w 2)) (.f64 (+.f64 (.f64 -1 l) (.f64 l (log.f64 l))) w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))
(sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(sqrt.f64 l)
(+.f64 (sqrt.f64 l) (.f64 1/2 (.f64 (sqrt.f64 l) (*.f64 w (log.f64 l)))))
(+.f64 (sqrt.f64 l) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 l) (.f64 w (log.f64 l)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 (pow.f64 w 2) (-.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (pow.f64 (.f64 1/2 (*.f64 (sqrt.f64 l) (log.f64 l))) 2)))))))
(+.f64 (sqrt.f64 l) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 l) (.f64 w (log.f64 l)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 (pow.f64 w 2) (-.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 l) (log.f64 l))) 2))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 (-.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (.f64 1/2 (.f64 (log.f64 l) (-.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (pow.f64 (.f64 1/2 (*.f64 (sqrt.f64 l) (log.f64 l))) 2))))) (pow.f64 w 3)))))))

Outputs
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
l
(+.f64 l (.f64 l (.f64 w (log.f64 l))))
(+.f64 l (.f64 l (.f64 (log.f64 l) w)))
(fma.f64 l (*.f64 (log.f64 l) w) l)
(*.f64 l (fma.f64 (log.f64 l) w 1))
(+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (.f64 w (log.f64 l)))))
(+.f64 l (.f64 l (+.f64 (.f64 (.f64 w w) (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (*.f64 (log.f64 l) w))))
(fma.f64 l (fma.f64 (.f64 w w) (.f64 1/2 (.f64 (+.f64 (log.f64 l) 1) (log.f64 l))) (.f64 (log.f64 l) w)) l)
(fma.f64 l (.f64 w (+.f64 (.f64 w (*.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)))) (log.f64 l))) l)
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3))) (+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (*.f64 w (log.f64 l))))))
(fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3)) (+.f64 l (.f64 l (+.f64 (.f64 (.f64 w w) (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (*.f64 (log.f64 l) w)))))
(fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 (log.f64 l) 1/6 (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3)) (fma.f64 l (fma.f64 (.f64 w w) (.f64 1/2 (.f64 (+.f64 (log.f64 l) 1) (log.f64 l))) (.f64 (log.f64 l) w)) l))
(fma.f64 l (.f64 w (+.f64 (.f64 w (.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)))) (log.f64 l))) (fma.f64 l (.f64 (fma.f64 1/2 (pow.f64 (log.f64 l) 2) (*.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)))) (pow.f64 w 3)) l))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
l
(+.f64 l (.f64 (+.f64 (.f64 -1 l) (*.f64 l (log.f64 l))) w))
(+.f64 l (.f64 w (fma.f64 -1 l (.f64 l (log.f64 l)))))
(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
(fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) l)
(+.f64 l (+.f64 (.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 1/2 l) (.f64 -1 (.f64 l (log.f64 l))))) (pow.f64 w 2)) (.f64 (+.f64 (.f64 -1 l) (.f64 l (log.f64 l))) w)))
(+.f64 l (fma.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (fma.f64 1/2 l (.f64 (neg.f64 l) (log.f64 l)))) (.f64 w w) (.f64 w (fma.f64 -1 l (*.f64 l (log.f64 l))))))
(+.f64 l (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (.f64 (.f64 w w) (-.f64 (.f64 l (+.f64 (.f64 1/2 (.f64 (+.f64 (log.f64 l) 1) (log.f64 l))) 1/2)) (*.f64 l (log.f64 l))))))
(fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) (fma.f64 (.f64 w w) (.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l))) l))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 l (log.f64 l))) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 -1 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 -1/6 l)))) (pow.f64 w 3)) (+.f64 l (+.f64 (.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 1/2 l) (.f64 -1 (.f64 l (log.f64 l))))) (pow.f64 w 2)) (.f64 (+.f64 (.f64 -1 l) (.f64 l (log.f64 l))) w))))
(fma.f64 (fma.f64 1/2 (.f64 l (log.f64 l)) (fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l (fma.f64 -1 (.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (.f64 l -1/6)))) (pow.f64 w 3) (+.f64 l (fma.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (fma.f64 1/2 l (.f64 (neg.f64 l) (log.f64 l)))) (.f64 w w) (.f64 w (fma.f64 -1 l (.f64 l (log.f64 l)))))))
(+.f64 (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (.f64 (.f64 w w) (-.f64 (.f64 l (+.f64 (.f64 1/2 (.f64 (+.f64 (log.f64 l) 1) (log.f64 l))) 1/2)) (.f64 l (log.f64 l))))) (fma.f64 (pow.f64 w 3) (fma.f64 1/2 (.f64 l (log.f64 l)) (fma.f64 l (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 (log.f64 l) 1/6 (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (fma.f64 (neg.f64 l) (.f64 1/2 (.f64 (+.f64 (log.f64 l) 1) (log.f64 l))) (.f64 l -1/6)))) l))
(fma.f64 (pow.f64 w 3) (fma.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)))) (fma.f64 l (.f64 (log.f64 l) 1/2) (.f64 l (-.f64 -1/6 (.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l))))))) (fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) (fma.f64 (.f64 w w) (.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l))) l)))
(fma.f64 (pow.f64 w 3) (fma.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)))) (fma.f64 l (.f64 (log.f64 l) 1/2) (.f64 l (+.f64 (.f64 -1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l))) -1/6)))) (fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) (fma.f64 (.f64 w w) (.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l))) l)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 l)
(+.f64 (sqrt.f64 l) (.f64 1/2 (.f64 (sqrt.f64 l) (*.f64 w (log.f64 l)))))
(+.f64 (sqrt.f64 l) (.f64 1/2 (.f64 (*.f64 (log.f64 l) w) (sqrt.f64 l))))
(fma.f64 1/2 (.f64 (log.f64 l) (.f64 w (sqrt.f64 l))) (sqrt.f64 l))
(fma.f64 (.f64 (log.f64 l) w) (.f64 1/2 (sqrt.f64 l)) (sqrt.f64 l))
(+.f64 (sqrt.f64 l) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 l) (.f64 w (log.f64 l)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 (pow.f64 w 2) (-.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (pow.f64 (.f64 1/2 (*.f64 (sqrt.f64 l) (log.f64 l))) 2)))))))
(+.f64 (sqrt.f64 l) (.f64 1/2 (+.f64 (.f64 (.f64 (log.f64 l) w) (sqrt.f64 l)) (.f64 (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 w w)) (-.f64 (.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 l)) (log.f64 l)) 2))))))
(fma.f64 1/2 (fma.f64 (.f64 (log.f64 l) w) (sqrt.f64 l) (.f64 (.f64 w w) (.f64 (-.f64 (.f64 l (.f64 1/2 (.f64 (+.f64 (log.f64 l) 1) (log.f64 l)))) (pow.f64 (.f64 (log.f64 l) (*.f64 1/2 (sqrt.f64 l))) 2)) (sqrt.f64 (/.f64 1 l))))) (sqrt.f64 l))
(fma.f64 1/2 (fma.f64 (log.f64 l) (.f64 w (sqrt.f64 l)) (.f64 (-.f64 (.f64 l (.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)))) (pow.f64 (.f64 (log.f64 l) (.f64 1/2 (sqrt.f64 l))) 2)) (.f64 w (.f64 w (sqrt.f64 (/.f64 1 l)))))) (sqrt.f64 l))
(fma.f64 1/2 (fma.f64 (log.f64 l) (.f64 w (sqrt.f64 l)) (.f64 (fma.f64 l (.f64 (log.f64 l) 1/2) (.f64 (pow.f64 (log.f64 l) 2) (-.f64 (.f64 l 1/2) (.f64 l 1/4)))) (.f64 w (.f64 w (sqrt.f64 (/.f64 1 l)))))) (sqrt.f64 l))
(+.f64 (sqrt.f64 l) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 l) (.f64 w (log.f64 l)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 (pow.f64 w 2) (-.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 l) (log.f64 l))) 2))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 (-.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (.f64 1/2 (.f64 (log.f64 l) (-.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (pow.f64 (.f64 1/2 (*.f64 (sqrt.f64 l) (log.f64 l))) 2))))) (pow.f64 w 3)))))))
(+.f64 (sqrt.f64 l) (fma.f64 1/2 (.f64 (.f64 (log.f64 l) w) (sqrt.f64 l)) (.f64 1/2 (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 w w)) (-.f64 (.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 l)) (log.f64 l)) 2))) (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 (pow.f64 w 3) (-.f64 (.f64 l (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 (.f64 (log.f64 l) 1/2) (-.f64 (.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (pow.f64 (.f64 (.f64 1/2 (sqrt.f64 l)) (log.f64 l)) 2))))))))))
(+.f64 (sqrt.f64 l) (.f64 1/2 (+.f64 (.f64 (log.f64 l) (.f64 w (sqrt.f64 l))) (.f64 (sqrt.f64 (/.f64 1 l)) (+.f64 (.f64 (.f64 w w) (-.f64 (.f64 l (.f64 1/2 (.f64 (+.f64 (log.f64 l) 1) (log.f64 l)))) (pow.f64 (.f64 (log.f64 l) (.f64 1/2 (sqrt.f64 l))) 2))) (.f64 (pow.f64 w 3) (fma.f64 l (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 (log.f64 l) 1/6 (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 (.f64 -1/2 (log.f64 l)) (-.f64 (.f64 l (.f64 1/2 (.f64 (+.f64 (log.f64 l) 1) (log.f64 l)))) (pow.f64 (.f64 (log.f64 l) (.f64 1/2 (sqrt.f64 l))) 2))))))))))
(fma.f64 1/2 (fma.f64 (log.f64 l) (.f64 w (sqrt.f64 l)) (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 (.f64 w w) (+.f64 (.f64 w (fma.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)))) (.f64 (-.f64 (.f64 l (.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)))) (pow.f64 (.f64 (log.f64 l) (.f64 1/2 (sqrt.f64 l))) 2)) (.f64 (log.f64 l) -1/2)))) (-.f64 (.f64 l (.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)))) (pow.f64 (.f64 (log.f64 l) (.f64 1/2 (sqrt.f64 l))) 2)))))) (sqrt.f64 l))
(fma.f64 1/2 (fma.f64 (log.f64 l) (.f64 w (sqrt.f64 l)) (.f64 (sqrt.f64 (/.f64 1 l)) (.f64 (.f64 w w) (+.f64 (.f64 w (fma.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)))) (.f64 (fma.f64 l (.f64 (log.f64 l) 1/2) (.f64 (pow.f64 (log.f64 l) 2) (-.f64 (.f64 l 1/2) (.f64 l 1/4)))) (.f64 (log.f64 l) -1/2)))) (fma.f64 l (.f64 (log.f64 l) 1/2) (.f64 (pow.f64 (log.f64 l) 2) (-.f64 (.f64 l 1/2) (.f64 l 1/4)))))))) (sqrt.f64 l))

prune401.0ms (3.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	180	5	185

Error

0.0b

Counts

185 → 5

Alt Table

Status	Error	Program
✓	0.4b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
▶	1.3b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
✓	0.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
	3.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
	15.7b	(fma.f64 (pow.f64 w 3) (-.f64 (.f64 l (+.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) -1/6)) (.f64 (.f64 l 1/2) (-.f64 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) (log.f64 l)))) (fma.f64 w (.f64 l (+.f64 (log.f64 l) -1)) (fma.f64 w (.f64 w (*.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l)))) l)))

Compiler

Compiled 4228 to 1568 computations (62.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3) (sqrt.f64 (pow.f64 l (exp.f64 w))))
	0.4b	(pow.f64 l (exp.f64 w))
✓	0.4b	(cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))))
✓	0.6b	(pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3)

series89.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	l	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3)
14.0ms	w	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3)
14.0ms	l	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3)
13.0ms	l	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3)
13.0ms	w	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3)

rewrite44.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`pow1_binary64`
653×	`add-log-exp_binary64`
653×	`log1p-expm1-u_binary64`
653×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	206	23
2	1885	23

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3)

(cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))))

(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3) (sqrt.f64 (pow.f64 l (exp.f64 w))))

Outputs

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

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

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

694×	`distribute-rgt-in_binary64`
683×	`distribute-lft-in_binary64`
488×	`*-commutative_binary64`
457×	`associate-+r+_binary64`
440×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1753
1	494	1552
2	1999	1387
3	7218	1258

Stop Event

1×	node limit

Counts

138 → 98

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))) 3)
(sqrt.f64 l)
(+.f64 (sqrt.f64 l) (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 l) (log.f64 l))) (.f64 1/6 (*.f64 (sqrt.f64 l) (log.f64 l)))) w))
(+.f64 (sqrt.f64 l) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 l) (log.f64 l))) (.f64 1/6 (.f64 (sqrt.f64 l) (log.f64 l)))) w) (.f64 (+.f64 (.f64 1/18 (.f64 (sqrt.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (.f64 (pow.f64 l 1/3) (pow.f64 (log.f64 l) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/72 (pow.f64 (log.f64 l) 2)) (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (pow.f64 l 1/3)))) (pow.f64 l 1/6)) (.f64 (sqrt.f64 l) (+.f64 (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))))) (.f64 1/72 (pow.f64 (log.f64 l) 2)))))) (pow.f64 w 2))))
(+.f64 (sqrt.f64 l) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 l) (log.f64 l))) (.f64 1/6 (.f64 (sqrt.f64 l) (log.f64 l)))) w) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/72 (.f64 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (log.f64 l))) (+.f64 (.f64 1/1296 (pow.f64 (log.f64 l) 3)) (.f64 1/36 (+.f64 (.f64 -6 (.f64 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))) (log.f64 l))) (+.f64 (.f64 2 (pow.f64 (log.f64 l) 3)) (.f64 6 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))))))))) (sqrt.f64 l)) (+.f64 (.f64 1/6 (.f64 (pow.f64 l 1/6) (.f64 (+.f64 (.f64 1/36 (.f64 (pow.f64 l 1/3) (pow.f64 (log.f64 l) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/72 (pow.f64 (log.f64 l) 2)) (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (pow.f64 l 1/3)))) (log.f64 l)))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 l 1/3) (+.f64 (.f64 1/36 (+.f64 (.f64 2 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 -6 (.f64 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))) (log.f64 l))) (.f64 6 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))))))) (+.f64 (.f64 1/72 (.f64 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (log.f64 l))) (.f64 1/1296 (pow.f64 (log.f64 l) 3)))))) (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 1/72 (pow.f64 (log.f64 l) 2)) (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (log.f64 l)) (pow.f64 l 1/3)))) (pow.f64 l 1/6)) (.f64 1/3 (.f64 (sqrt.f64 l) (.f64 (log.f64 l) (+.f64 (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))))) (.f64 1/72 (pow.f64 (log.f64 l) 2))))))))) (pow.f64 w 3)) (.f64 (+.f64 (.f64 1/18 (.f64 (sqrt.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (.f64 (pow.f64 l 1/3) (pow.f64 (log.f64 l) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/72 (pow.f64 (log.f64 l) 2)) (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (pow.f64 l 1/3)))) (pow.f64 l 1/6)) (.f64 (sqrt.f64 l) (+.f64 (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))))) (.f64 1/72 (pow.f64 (log.f64 l) 2)))))) (pow.f64 w 2)))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w))))
(exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w))))
(exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w))))
(exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w))))
(exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))))
(pow.f64 l 1/6)
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 1/6) (*.f64 w (log.f64 l)))) (pow.f64 l 1/6))
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 1/6) (.f64 w (log.f64 l)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/72 (pow.f64 (log.f64 l) 2)) (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (*.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (pow.f64 w 2)) (pow.f64 l 1/6)) (pow.f64 l 1/6)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 1/6) (.f64 w (log.f64 l)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/72 (pow.f64 (log.f64 l) 2)) (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (pow.f64 w 2)) (pow.f64 l 1/6)) (+.f64 (.f64 (pow.f64 l 1/6) (.f64 (pow.f64 w 3) (+.f64 (.f64 1/36 (+.f64 (.f64 2 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 -6 (.f64 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))) (log.f64 l))) (.f64 6 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))))))) (+.f64 (.f64 1/72 (.f64 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (log.f64 l))) (.f64 1/1296 (pow.f64 (log.f64 l) 3)))))) (pow.f64 l 1/6))))
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
l
(+.f64 l (.f64 l (.f64 w (log.f64 l))))
(+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (.f64 w (log.f64 l)))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3))) (+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (*.f64 w (log.f64 l))))))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))

Outputs
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (log.f64 l) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 -1/6 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w))) 3)
(pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) 3)
(pow.f64 (pow.f64 l (*.f64 1/6 (exp.f64 w))) 3)
(sqrt.f64 l)
(+.f64 (sqrt.f64 l) (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 l) (log.f64 l))) (.f64 1/6 (*.f64 (sqrt.f64 l) (log.f64 l)))) w))
(+.f64 (sqrt.f64 l) (.f64 w (.f64 (*.f64 (log.f64 l) (sqrt.f64 l)) 1/2)))
(fma.f64 w (.f64 (log.f64 l) (.f64 (sqrt.f64 l) 1/2)) (sqrt.f64 l))
(+.f64 (sqrt.f64 l) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 l) (log.f64 l))) (.f64 1/6 (.f64 (sqrt.f64 l) (log.f64 l)))) w) (.f64 (+.f64 (.f64 1/18 (.f64 (sqrt.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (.f64 (pow.f64 l 1/3) (pow.f64 (log.f64 l) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/72 (pow.f64 (log.f64 l) 2)) (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (pow.f64 l 1/3)))) (pow.f64 l 1/6)) (.f64 (sqrt.f64 l) (+.f64 (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))))) (.f64 1/72 (pow.f64 (log.f64 l) 2)))))) (pow.f64 w 2))))
(+.f64 (sqrt.f64 l) (fma.f64 (.f64 (.f64 (log.f64 l) (sqrt.f64 l)) 1/2) w (.f64 (fma.f64 1/18 (.f64 (sqrt.f64 l) (pow.f64 (log.f64 l) 2)) (fma.f64 (fma.f64 1/36 (.f64 (pow.f64 (log.f64 l) 2) (cbrt.f64 l)) (.f64 2 (.f64 (cbrt.f64 l) (fma.f64 1/72 (pow.f64 (log.f64 l) 2) (.f64 1/12 (fma.f64 -1 (pow.f64 (log.f64 l) 2) (.f64 2 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))))))))) (pow.f64 l 1/6) (.f64 (sqrt.f64 l) (fma.f64 1/72 (pow.f64 (log.f64 l) 2) (.f64 1/12 (fma.f64 -1 (pow.f64 (log.f64 l) 2) (.f64 2 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))))))))) (*.f64 w w))))
(+.f64 (fma.f64 w (.f64 (log.f64 l) (.f64 (sqrt.f64 l) 1/2)) (sqrt.f64 l)) (.f64 (fma.f64 1/18 (.f64 (sqrt.f64 l) (pow.f64 (log.f64 l) 2)) (fma.f64 (fma.f64 2 (.f64 (cbrt.f64 l) (fma.f64 1/12 (-.f64 (.f64 1 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (pow.f64 (log.f64 l) 2)) (.f64 (pow.f64 (log.f64 l) 2) 1/72))) (.f64 (pow.f64 (log.f64 l) 2) (.f64 1/36 (cbrt.f64 l)))) (pow.f64 l 1/6) (.f64 (sqrt.f64 l) (fma.f64 1/12 (-.f64 (.f64 1 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (pow.f64 (log.f64 l) 2)) (.f64 (pow.f64 (log.f64 l) 2) 1/72))))) (*.f64 w w)))
(+.f64 (sqrt.f64 l) (.f64 w (+.f64 (.f64 (log.f64 l) (.f64 (sqrt.f64 l) 1/2)) (.f64 w (+.f64 (.f64 (.f64 (cbrt.f64 l) (+.f64 (.f64 (pow.f64 (log.f64 l) 2) 1/36) (.f64 2 (+.f64 (.f64 1/12 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 (pow.f64 (log.f64 l) 2) -5/72))))) (pow.f64 l 1/6)) (.f64 (sqrt.f64 l) (+.f64 (+.f64 (.f64 1/12 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 (pow.f64 (log.f64 l) 2) -5/72)) (.f64 1/18 (pow.f64 (log.f64 l) 2)))))))))
(+.f64 (sqrt.f64 l) (.f64 w (+.f64 (.f64 (log.f64 l) (.f64 (sqrt.f64 l) 1/2)) (.f64 w (+.f64 (.f64 (.f64 (cbrt.f64 l) (+.f64 (.f64 (pow.f64 (log.f64 l) 2) 1/36) (.f64 2 (fma.f64 (log.f64 l) 1/12 (.f64 (pow.f64 (log.f64 l) 2) 1/72))))) (pow.f64 l 1/6)) (.f64 (sqrt.f64 l) (+.f64 (fma.f64 (log.f64 l) 1/12 (.f64 (pow.f64 (log.f64 l) 2) 1/72)) (.f64 1/18 (pow.f64 (log.f64 l) 2)))))))))
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(.f64 (+.f64 (.f64 1/6 (*.f64 (log.f64 l) w)) 1) (pow.f64 l 1/6))
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 1/6) (.f64 w (log.f64 l)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/72 (pow.f64 (log.f64 l) 2)) (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (*.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (pow.f64 w 2)) (pow.f64 l 1/6)) (pow.f64 l 1/6)))
(fma.f64 1/6 (.f64 (pow.f64 l 1/6) (.f64 (log.f64 l) w)) (.f64 (+.f64 (.f64 (fma.f64 1/72 (pow.f64 (log.f64 l) 2) (.f64 1/12 (fma.f64 -1 (pow.f64 (log.f64 l) 2) (.f64 2 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))))))) (.f64 w w)) 1) (pow.f64 l 1/6)))
(fma.f64 (fma.f64 (fma.f64 1/12 (-.f64 (.f64 1 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (pow.f64 (log.f64 l) 2)) (.f64 (pow.f64 (log.f64 l) 2) 1/72)) (.f64 w w) 1) (pow.f64 l 1/6) (.f64 (pow.f64 l 1/6) (.f64 (.f64 (log.f64 l) w) 1/6)))
(.f64 (pow.f64 l 1/6) (+.f64 (.f64 1/6 (.f64 (log.f64 l) w)) (fma.f64 (+.f64 (.f64 1/12 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 (pow.f64 (log.f64 l) 2) -5/72)) (.f64 w w) 1)))
(.f64 (pow.f64 l 1/6) (+.f64 (.f64 1/6 (.f64 (log.f64 l) w)) (fma.f64 (fma.f64 (log.f64 l) 1/12 (.f64 (pow.f64 (log.f64 l) 2) 1/72)) (*.f64 w w) 1)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 l 1/6) (.f64 w (log.f64 l)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/72 (pow.f64 (log.f64 l) 2)) (.f64 1/12 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (pow.f64 w 2)) (pow.f64 l 1/6)) (+.f64 (.f64 (pow.f64 l 1/6) (.f64 (pow.f64 w 3) (+.f64 (.f64 1/36 (+.f64 (.f64 2 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 -6 (.f64 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))) (log.f64 l))) (.f64 6 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))))))) (+.f64 (.f64 1/72 (.f64 (+.f64 (.f64 -1 (pow.f64 (log.f64 l) 2)) (.f64 2 (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (log.f64 l))) (.f64 1/1296 (pow.f64 (log.f64 l) 3)))))) (pow.f64 l 1/6))))
(fma.f64 1/6 (.f64 (pow.f64 l 1/6) (.f64 (log.f64 l) w)) (fma.f64 (.f64 (fma.f64 1/72 (pow.f64 (log.f64 l) 2) (.f64 1/12 (fma.f64 -1 (pow.f64 (log.f64 l) 2) (.f64 2 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))))))) (.f64 w w)) (pow.f64 l 1/6) (fma.f64 (pow.f64 l 1/6) (.f64 (fma.f64 1/36 (fma.f64 2 (pow.f64 (log.f64 l) 3) (fma.f64 -6 (.f64 (log.f64 l) (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))) (.f64 6 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 (pow.f64 (log.f64 l) 2) 1/2)))))) (fma.f64 1/72 (.f64 (log.f64 l) (fma.f64 -1 (pow.f64 (log.f64 l) 2) (.f64 2 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)))))) (.f64 1/1296 (pow.f64 (log.f64 l) 3)))) (pow.f64 w 3)) (pow.f64 l 1/6))))
(+.f64 (.f64 (pow.f64 l 1/6) (+.f64 (.f64 (fma.f64 1/12 (-.f64 (.f64 1 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (pow.f64 (log.f64 l) 2)) (.f64 (pow.f64 (log.f64 l) 2) 1/72)) (.f64 w w)) (.f64 (fma.f64 1/36 (fma.f64 (.f64 -3 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (log.f64 l) (fma.f64 6 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 (pow.f64 (log.f64 l) 2) 1/2))) (.f64 2 (pow.f64 (log.f64 l) 3)))) (fma.f64 1/72 (.f64 (log.f64 l) (-.f64 (.f64 1 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (pow.f64 (log.f64 l) 2))) (.f64 1/1296 (pow.f64 (log.f64 l) 3)))) (pow.f64 w 3)))) (fma.f64 1/6 (.f64 (log.f64 l) (.f64 w (pow.f64 l 1/6))) (pow.f64 l 1/6)))
(+.f64 (pow.f64 l 1/6) (.f64 (pow.f64 l 1/6) (+.f64 (.f64 1/6 (.f64 (log.f64 l) w)) (.f64 (.f64 w w) (+.f64 (+.f64 (.f64 1/12 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 (pow.f64 (log.f64 l) 2) -5/72)) (.f64 w (fma.f64 1/36 (fma.f64 (.f64 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)) -3) (log.f64 l) (+.f64 (.f64 6 (.f64 (log.f64 l) (+.f64 (.f64 (log.f64 l) 1/2) 1/6))) (.f64 (pow.f64 (log.f64 l) 3) 3))) (fma.f64 1/1296 (pow.f64 (log.f64 l) 3) (.f64 (+.f64 (log.f64 l) (.f64 (pow.f64 (log.f64 l) 2) 0)) (.f64 (log.f64 l) 1/72))))))))))
(+.f64 (pow.f64 l 1/6) (.f64 (pow.f64 l 1/6) (+.f64 (.f64 1/6 (.f64 (log.f64 l) w)) (.f64 (.f64 w w) (+.f64 (fma.f64 (log.f64 l) 1/12 (.f64 (pow.f64 (log.f64 l) 2) 1/72)) (.f64 w (fma.f64 (pow.f64 (log.f64 l) 2) 1/72 (fma.f64 1/36 (fma.f64 (.f64 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)) -3) (log.f64 l) (+.f64 (.f64 6 (.f64 (log.f64 l) (+.f64 (.f64 (log.f64 l) 1/2) 1/6))) (.f64 (pow.f64 (log.f64 l) 3) 3))) (*.f64 1/1296 (pow.f64 (log.f64 l) 3))))))))))
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (*.f64 1/6 (exp.f64 w)))
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (*.f64 1/6 (exp.f64 w)))
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (*.f64 1/6 (exp.f64 w)))
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (*.f64 1/6 (exp.f64 w)))
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (*.f64 1/6 (exp.f64 w)))
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (*.f64 1/6 (exp.f64 w)))
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (*.f64 1/6 (exp.f64 w)))
(pow.f64 (pow.f64 l (exp.f64 w)) 1/6)
(pow.f64 (exp.f64 1/6) (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (*.f64 1/6 (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
l
(+.f64 l (.f64 l (.f64 w (log.f64 l))))
(+.f64 l (.f64 l (.f64 (log.f64 l) w)))
(fma.f64 (*.f64 l w) (log.f64 l) l)
(fma.f64 l (*.f64 (log.f64 l) w) l)
(+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (.f64 w (log.f64 l)))))
(+.f64 l (.f64 l (+.f64 (.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 w w)) (*.f64 (log.f64 l) w))))
(fma.f64 l (fma.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 w w) (*.f64 (log.f64 l) w)) l)
(fma.f64 l (.f64 w (+.f64 (log.f64 l) (.f64 w (.f64 (log.f64 l) (+.f64 (.f64 (log.f64 l) 1/2) 1/2))))) l)
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3))) (+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (*.f64 w (log.f64 l))))))
(fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 (pow.f64 (log.f64 l) 2) 1/2))) (.f64 l (pow.f64 w 3)) (+.f64 l (.f64 l (+.f64 (.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 w w)) (*.f64 (log.f64 l) w)))))
(fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 (pow.f64 (log.f64 l) 2) 1/2))) (.f64 l (pow.f64 w 3)) (fma.f64 l (fma.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 w w) (*.f64 (log.f64 l) w)) l))
(fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (.f64 (log.f64 l) (+.f64 (.f64 (log.f64 l) 1/2) 1/6))) (.f64 l (pow.f64 w 3)) (fma.f64 l (.f64 w (+.f64 (log.f64 l) (.f64 w (.f64 (log.f64 l) (+.f64 (*.f64 (log.f64 l) 1/2) 1/2))))) l))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))

prune247.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	150	5	155

Error

0.0b

Counts

155 → 5

Alt Table

Status	Error	Program
✓	0.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
	4.2b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6)) 3) 3) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
▶	3.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3) (sqrt.f64 (exp.f64 (*.f64 (exp.f64 w) (log.f64 l))))))
✓	0.4b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
	15.7b	(fma.f64 (pow.f64 w 3) (-.f64 (.f64 l (+.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) -1/6)) (.f64 (.f64 l 1/2) (-.f64 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) (log.f64 l)))) (fma.f64 w (.f64 l (+.f64 (log.f64 l) -1)) (fma.f64 w (.f64 w (*.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l)))) l)))

Compiler

Compiled 4602 to 2101 computations (54.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 l (exp.f64 w))
	0.4b	(cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))))
	0.6b	(pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3)
✓	4.4b	(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	-inf	(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))
0.0ms	l	@	0	(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))
0.0ms	l	@	inf	(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))
0.0ms	w	@	0	(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))
0.0ms	w	@	-inf	(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))

rewrite34.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
523×	`add-log-exp_binary64`
523×	`log1p-expm1-u_binary64`
523×	`expm1-log1p-u_binary64`
510×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	128	6
2	1468	6

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))

Outputs

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

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

682×	`unsub-neg_binary64`
484×	`distribute-rgt-neg-out_binary64`
377×	`associate-+l+_binary64`
374×	`*-commutative_binary64`
316×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	234
1	135	224
2	391	221
3	1774	216
4	5110	216

Stop Event

1×	node limit

Counts

47 → 33

Calls

Call 1

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

Outputs
l
(+.f64 l (.f64 l (.f64 w (log.f64 l))))
(fma.f64 l (*.f64 w (log.f64 l)) l)
(fma.f64 (log.f64 l) (*.f64 l w) l)
(+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (.f64 w (log.f64 l)))))
(+.f64 l (.f64 l (+.f64 (.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 w w)) (*.f64 w (log.f64 l)))))
(fma.f64 l (fma.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 w w) (*.f64 w (log.f64 l))) l)
(fma.f64 l (.f64 w (+.f64 (.f64 w (.f64 (.f64 1/2 (+.f64 (log.f64 l) 1)) (log.f64 l))) (log.f64 l))) l)
(fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (+.f64 (log.f64 l) 1) (.f64 w (.f64 w 1/2))))) l)
(fma.f64 l (.f64 w (fma.f64 w (.f64 (log.f64 l) (*.f64 1/2 (+.f64 (log.f64 l) 1))) (log.f64 l))) l)
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3))) (+.f64 l (+.f64 (.f64 l (.f64 (pow.f64 w 2) (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 l (*.f64 w (log.f64 l))))))
(fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 l (pow.f64 w 3)) (+.f64 l (.f64 l (+.f64 (.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 w w)) (*.f64 w (log.f64 l))))))
(fma.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/2 (pow.f64 (log.f64 l) 2) (.f64 (log.f64 l) 1/6))) (.f64 l (pow.f64 w 3)) (fma.f64 l (fma.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 w w) (*.f64 w (log.f64 l))) l))
(fma.f64 l (.f64 w (+.f64 (.f64 w (.f64 (.f64 1/2 (+.f64 (log.f64 l) 1)) (log.f64 l))) (log.f64 l))) (fma.f64 (fma.f64 1/2 (pow.f64 (log.f64 l) 2) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)))) (.f64 l (pow.f64 w 3)) l))
(fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (+.f64 (log.f64 l) 1) (.f64 w (.f64 w 1/2))))) (fma.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (.f64 l (pow.f64 w 3)) l))
(fma.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (.f64 l (pow.f64 w 3)) (fma.f64 l (.f64 w (fma.f64 w (.f64 (log.f64 l) (*.f64 1/2 (+.f64 (log.f64 l) 1))) (log.f64 l))) l))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (log.f64 l) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w))))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))

prune161.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	128	5	133

Error

0.0b

Counts

133 → 5

Alt Table

Status	Error	Program
✓	0.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
	4.2b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6)) 3) 3) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
✓	0.4b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
	15.7b	(fma.f64 (pow.f64 w 3) (-.f64 (.f64 l (+.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) -1/6)) (.f64 (.f64 l 1/2) (-.f64 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) (log.f64 l)))) (fma.f64 w (.f64 l (+.f64 (log.f64 l) -1)) (fma.f64 w (.f64 w (*.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l)))) l)))
	4.1b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3) (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 w)) (log.f64 l)))))

Compiler

Compiled 4405 to 1929 computations (56.2% saved)

regimes21.0ms (0.2%)

Accuracy

Total -19.8b remaining (-4810%)

Threshold costs -19.8b (-4810%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3) (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 w)) (log.f64 l)))))
(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6)) 3) 3) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3) (sqrt.f64 (exp.f64 (*.f64 (exp.f64 w) (log.f64 l))))))
(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 3) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (exp.f64 (*.f64 (exp.f64 w) (log.f64 l)))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
(fma.f64 (pow.f64 w 3) (-.f64 (.f64 l (+.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) -1/6)) (.f64 (.f64 l 1/2) (-.f64 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) (log.f64 l)))) (fma.f64 w (.f64 l (+.f64 (log.f64 l) -1)) (fma.f64 w (.f64 w (*.f64 l (-.f64 (fma.f64 1/2 (fma.f64 (log.f64 l) (log.f64 l) (log.f64 l)) 1/2) (log.f64 l)))) l)))
(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Outputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Results

6.0ms	0.4b	`w`
6.0ms	0.4b	`l`
4.0ms	0.4b	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 226 to 91 computations (59.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	13	13
2	15	13
3	16	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Outputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

end14.0ms (0.1%)

Stop Event

1×

fuel

Compiler

Compiled 20 to 14 computations (30% saved)

Details

analyze224.0ms (2%)

sample9.5s (83.6%)

preprocess86.0ms (0.8%)

simplify65.0ms (0.6%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series68.0ms (0.6%)

rewrite51.0ms (0.5%)

simplify39.0ms (0.3%)

prune63.0ms (0.6%)

localize7.0ms (0.1%)

series7.0ms (0.1%)

rewrite49.0ms (0.4%)

simplify54.0ms (0.5%)

prune401.0ms (3.5%)

localize9.0ms (0.1%)

series89.0ms (0.8%)

rewrite44.0ms (0.4%)

simplify73.0ms (0.6%)

prune247.0ms (2.2%)

localize14.0ms (0.1%)

series3.0ms (0%)

rewrite34.0ms (0.3%)

simplify37.0ms (0.3%)

prune161.0ms (1.4%)

regimes21.0ms (0.2%)

simplify2.0ms (0%)

end14.0ms (0.1%)

Profiling