Details

analyze986.0ms (6.1%)

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%	78%	9.5%	6
20.3%	68.7%	11%	7
21.1%	62.4%	16.5%	8
25.4%	57%	17.7%	9
26%	52.1%	22%	10
28.3%	49%	22.7%	11
28.6%	47.2%	24.2%	12
29.8%	45.6%	24.7%	13
29.9%	43.9%	26.2%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample14.0s (86.6%)

Results

10.4s	4665×	body	8192	exit
1.7s	3249×	body	1024	invalid
1.1s	8256×	body	128	valid
523.0ms	1609×	body	512	invalid
166.0ms	775×	body	256	invalid
80.0ms	582×	body	128	invalid
5.0ms	4×	body	2048	invalid
2.0ms	1×	body	4096	invalid

Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess45.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

409×	`associate-l_binary64`
386×	`associate-/l*_binary64`
325×	`associate-r_binary64`
318×	`associate-/r*_binary64`
273×	`*-commutative_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
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)

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

656×	`unswap-sqr_binary64`
607×	`times-frac_binary64`
203×	`associate-l_binary64`
192×	`associate-/l*_binary64`
177×	`sqr-pow_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

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))

prune2.0ms (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

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.3b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
▶	0.3b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Compiler

Compiled 55 to 32 computations (41.8% saved)

localize6.0ms (0%)

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)))
✓	0.3b	(pow.f64 l (exp.f64 w))

series59.0ms (0.4%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	l	@	0	(pow.f64 l (exp.f64 w))
15.0ms	l	@	-inf	(pow.f64 l (exp.f64 w))
10.0ms	w	@	inf	(pow.f64 l (exp.f64 w))
6.0ms	l	@	inf	(pow.f64 l (exp.f64 w))
1.0ms	w	@	0	(pow.f64 l (exp.f64 w))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
557×	`add-log-exp_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_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 → 31

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

Outputs

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

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
433×	`associate-+l+_binary64`
421×	`associate-l_binary64`
321×	`associate-+r+_binary64`
313×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	694
1	255	663
2	913	588

Stop Event

1×	node limit

Counts

75 → 52

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

prune37.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Error

0.1b

Counts

54 → 4

Alt Table

Status	Error	Program
	4.4b	(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.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)))))
	16.5b	(-.f64 (+.f64 (fma.f64 (.f64 l (pow.f64 w 3)) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3))) (fma.f64 l (.f64 (log.f64 l) w) l)) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2))) (fma.f64 l w (.f64 (.f64 w w) (+.f64 (.f64 l (.f64 (log.f64 l) 1/2)) (.f64 w (*.f64 l 1/6))))))
✓	0.3b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Compiler

Compiled 1080 to 493 computations (54.4% saved)

localize7.0ms (0%)

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)))))
	0.3b	(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))))

series8.0ms (0%)

Counts

3 → 68

Calls

18 calls:

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

rewrite38.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
86×	`*-un-lft-identity_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 → 69

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

Outputs

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

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

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-neg_binary64`
597×	`associate-+l+_binary64`
470×	`associate-+r+_binary64`
293×	`*-commutative_binary64`
236×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1035
1	359	996
2	1329	900
3	4533	900

Stop Event

1×	node limit

Counts

137 → 100

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) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
l
(+.f64 l (.f64 (log.f64 l) (.f64 l w)))
(+.f64 l (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 (log.f64 l) (.f64 l w)))))
(+.f64 l (+.f64 (.f64 1/6 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 (log.f64 l) (.f64 l w)) (.f64 1/6 (.f64 (pow.f64 (log.f64 l) 3) (*.f64 l (pow.f64 w 3))))))))))
(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)))
(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 (+.f64 l (.f64 (log.f64 l) (.f64 l w))) (*.f64 l w))
(-.f64 (+.f64 (.f64 1/2 (.f64 l (pow.f64 w 2))) (+.f64 l (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 (log.f64 l) (.f64 l w))))) (+.f64 (.f64 l w) (.f64 1/2 (.f64 (log.f64 l) (*.f64 l (pow.f64 w 2))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 l (pow.f64 w 2))) (+.f64 (.f64 1/6 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (log.f64 l) 3) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 (log.f64 l) (.f64 l w)) (+.f64 l (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2))))))))) (+.f64 (.f64 1/6 (.f64 l (pow.f64 w 3))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (*.f64 l w))))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.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 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.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) (log.f64 (/.f64 -1 l))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (-.f64 (log.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) (log.f64 (/.f64 -1 l))) (exp.f64 w))))
(sqrt.f64 (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w))))
(sqrt.f64 (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w))))
(sqrt.f64 (exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w))))
(sqrt.f64 l)
(+.f64 (.f64 1/2 (.f64 (*.f64 (log.f64 l) w) (sqrt.f64 l))) (sqrt.f64 l))
(+.f64 (.f64 1/2 (.f64 (.f64 (log.f64 l) w) (sqrt.f64 l))) (+.f64 (sqrt.f64 l) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 l) 2) (pow.f64 w 2)) (sqrt.f64 l))) (.f64 1/4 (.f64 (*.f64 (log.f64 l) (pow.f64 w 2)) (sqrt.f64 l))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (log.f64 l) w) (sqrt.f64 l))) (+.f64 (.f64 1/12 (.f64 (.f64 (log.f64 l) (pow.f64 w 3)) (sqrt.f64 l))) (+.f64 (sqrt.f64 l) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 l) 2) (pow.f64 w 2)) (sqrt.f64 l))) (+.f64 (.f64 1/48 (.f64 (.f64 (pow.f64 (log.f64 l) 3) (pow.f64 w 3)) (sqrt.f64 l))) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 l) 2) (pow.f64 w 3)) (sqrt.f64 l))) (.f64 1/4 (.f64 (.f64 (log.f64 l) (pow.f64 w 2)) (sqrt.f64 l)))))))))
(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))))

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) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
l
(+.f64 l (.f64 (log.f64 l) (.f64 l w)))
(+.f64 l (.f64 (.f64 (log.f64 l) l) w))
(fma.f64 (log.f64 l) (*.f64 l w) l)
(fma.f64 (*.f64 l (log.f64 l)) w l)
(+.f64 l (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 (log.f64 l) (.f64 l w)))))
(+.f64 l (fma.f64 1/2 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (.f64 (.f64 (log.f64 l) l) w))))
(+.f64 (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 (log.f64 l) 1/2) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (fma.f64 (log.f64 l) (.f64 l w) l))
(+.f64 (fma.f64 (.f64 l (log.f64 l)) w l) (.f64 (.f64 1/2 (.f64 l (*.f64 w w))) (+.f64 (pow.f64 (log.f64 l) 2) (log.f64 l))))
(+.f64 l (+.f64 (.f64 1/6 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 (log.f64 l) (.f64 l w)) (.f64 1/6 (.f64 (pow.f64 (log.f64 l) 3) (*.f64 l (pow.f64 w 3))))))))))
(+.f64 l (fma.f64 1/6 (.f64 (.f64 (log.f64 l) l) (pow.f64 w 3)) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 3))) (fma.f64 1/2 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (fma.f64 (log.f64 l) (.f64 l w) (.f64 1/6 (.f64 (.f64 l (pow.f64 w 3)) (pow.f64 (log.f64 l) 3)))))))))
(+.f64 l (+.f64 (+.f64 (fma.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (.f64 l (pow.f64 w 3)) (.f64 w (.f64 l (log.f64 l)))) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 (log.f64 l) 1/2) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (.f64 (.f64 l (pow.f64 w 3)) (+.f64 (.f64 (log.f64 l) 1/6) (*.f64 1/2 (pow.f64 (log.f64 l) 2))))))
(+.f64 l (+.f64 (.f64 l (+.f64 (.f64 (log.f64 l) w) (.f64 (pow.f64 w 3) (.f64 1/6 (pow.f64 (log.f64 l) 3))))) (+.f64 (.f64 (.f64 l (pow.f64 w 3)) (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) 1/2)))) (.f64 (.f64 1/2 (.f64 l (.f64 w w))) (+.f64 (pow.f64 (log.f64 l) 2) (log.f64 l))))))
(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))
(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 (+.f64 l (.f64 (log.f64 l) (.f64 l w))) (*.f64 l w))
(-.f64 (+.f64 l (.f64 (.f64 (log.f64 l) l) w)) (*.f64 l w))
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(-.f64 (+.f64 (.f64 1/2 (.f64 l (pow.f64 w 2))) (+.f64 l (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 (log.f64 l) (.f64 l w))))) (+.f64 (.f64 l w) (.f64 1/2 (.f64 (log.f64 l) (*.f64 l (pow.f64 w 2))))))
(-.f64 (fma.f64 1/2 (.f64 l (.f64 w w)) (+.f64 l (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (.f64 (.f64 (log.f64 l) l) w)))) (fma.f64 1/2 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (*.f64 l w)))
(-.f64 (fma.f64 1/2 (.f64 l (.f64 w w)) (fma.f64 (log.f64 l) (.f64 l w) (fma.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) (.f64 l (.f64 w w)) l))) (fma.f64 l w (.f64 (log.f64 l) (.f64 l (.f64 (.f64 w w) 1/2)))))
(+.f64 (fma.f64 (.f64 l (log.f64 l)) w l) (-.f64 (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2)) (.f64 l (+.f64 w (.f64 (.f64 w w) (*.f64 (log.f64 l) 1/2))))))
(+.f64 (+.f64 l (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2))) (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (.f64 (.f64 l (.f64 w w)) (*.f64 (log.f64 l) -1/2))))
(-.f64 (+.f64 (.f64 1/2 (.f64 l (pow.f64 w 2))) (+.f64 (.f64 1/6 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (log.f64 l) 3) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 (log.f64 l) (.f64 l w)) (+.f64 l (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2))))))))) (+.f64 (.f64 1/6 (.f64 l (pow.f64 w 3))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (*.f64 l w))))
(-.f64 (fma.f64 1/2 (.f64 l (.f64 w w)) (fma.f64 1/6 (.f64 (.f64 (log.f64 l) l) (pow.f64 w 3)) (fma.f64 1/6 (.f64 (.f64 l (pow.f64 w 3)) (pow.f64 (log.f64 l) 3)) (+.f64 l (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (.f64 (.f64 (log.f64 l) l) w)))))) (fma.f64 1/6 (.f64 l (pow.f64 w 3)) (fma.f64 1/2 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (.f64 l w))))
(fma.f64 1/2 (.f64 l (.f64 w w)) (+.f64 (.f64 (.f64 l (pow.f64 w 3)) (+.f64 (.f64 (log.f64 l) 1/6) (.f64 1/6 (pow.f64 (log.f64 l) 3)))) (-.f64 (fma.f64 (log.f64 l) (.f64 l w) (fma.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) (.f64 l (.f64 w w)) l)) (fma.f64 1/6 (.f64 l (pow.f64 w 3)) (fma.f64 l w (.f64 (log.f64 l) (.f64 l (.f64 (*.f64 w w) 1/2))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 (.f64 l (log.f64 l)) w l) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2))) (.f64 1/6 (.f64 (.f64 l (pow.f64 w 3)) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3))))) (fma.f64 1/6 (.f64 l (pow.f64 w 3)) (.f64 l (+.f64 w (.f64 (.f64 w w) (*.f64 (log.f64 l) 1/2))))))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 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 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 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) (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) (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) (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) (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) (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) (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) (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) (log.f64 (/.f64 -1 l))) (exp.f64 w))))
(sqrt.f64 (pow.f64 l (exp.f64 w)))
(sqrt.f64 l)
(+.f64 (.f64 1/2 (.f64 (*.f64 (log.f64 l) w) (sqrt.f64 l))) (sqrt.f64 l))
(fma.f64 1/2 (.f64 (log.f64 l) (.f64 w (sqrt.f64 l))) (sqrt.f64 l))
(.f64 (+.f64 (.f64 (*.f64 (log.f64 l) 1/2) w) 1) (sqrt.f64 l))
(.f64 (sqrt.f64 l) (+.f64 1 (.f64 w (*.f64 (log.f64 l) 1/2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (log.f64 l) w) (sqrt.f64 l))) (+.f64 (sqrt.f64 l) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 l) 2) (pow.f64 w 2)) (sqrt.f64 l))) (.f64 1/4 (.f64 (*.f64 (log.f64 l) (pow.f64 w 2)) (sqrt.f64 l))))))
(+.f64 (fma.f64 1/2 (.f64 (log.f64 l) (.f64 w (sqrt.f64 l))) (sqrt.f64 l)) (fma.f64 1/8 (.f64 (pow.f64 (log.f64 l) 2) (.f64 (.f64 w w) (sqrt.f64 l))) (.f64 1/4 (.f64 (log.f64 l) (.f64 (*.f64 w w) (sqrt.f64 l))))))
(+.f64 (.f64 (sqrt.f64 l) (+.f64 (.f64 (.f64 1/8 (.f64 w w)) (pow.f64 (log.f64 l) 2)) (.f64 1/4 (.f64 (log.f64 l) (.f64 w w))))) (.f64 (+.f64 (.f64 (.f64 (log.f64 l) 1/2) w) 1) (sqrt.f64 l)))
(+.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (+.f64 (.f64 w (.f64 (log.f64 l) 1/2)) (.f64 (.f64 w w) (+.f64 (.f64 (pow.f64 (log.f64 l) 2) 1/8) (*.f64 (log.f64 l) 1/4))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (log.f64 l) w) (sqrt.f64 l))) (+.f64 (.f64 1/12 (.f64 (.f64 (log.f64 l) (pow.f64 w 3)) (sqrt.f64 l))) (+.f64 (sqrt.f64 l) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 l) 2) (pow.f64 w 2)) (sqrt.f64 l))) (+.f64 (.f64 1/48 (.f64 (.f64 (pow.f64 (log.f64 l) 3) (pow.f64 w 3)) (sqrt.f64 l))) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 l) 2) (pow.f64 w 3)) (sqrt.f64 l))) (.f64 1/4 (.f64 (.f64 (log.f64 l) (pow.f64 w 2)) (sqrt.f64 l)))))))))
(fma.f64 1/2 (.f64 (log.f64 l) (.f64 w (sqrt.f64 l))) (fma.f64 1/12 (.f64 (log.f64 l) (.f64 (pow.f64 w 3) (sqrt.f64 l))) (+.f64 (sqrt.f64 l) (fma.f64 1/8 (.f64 (pow.f64 (log.f64 l) 2) (.f64 (.f64 w w) (sqrt.f64 l))) (fma.f64 1/48 (.f64 (pow.f64 (log.f64 l) 3) (.f64 (pow.f64 w 3) (sqrt.f64 l))) (fma.f64 1/8 (.f64 (pow.f64 (log.f64 l) 2) (.f64 (pow.f64 w 3) (sqrt.f64 l))) (.f64 1/4 (.f64 (log.f64 l) (.f64 (*.f64 w w) (sqrt.f64 l))))))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 l) (+.f64 (.f64 (.f64 (log.f64 l) 1/2) w) (.f64 1/12 (.f64 (log.f64 l) (pow.f64 w 3))))) (sqrt.f64 l)) (+.f64 (.f64 (sqrt.f64 l) (+.f64 (.f64 (.f64 1/48 (pow.f64 (log.f64 l) 3)) (pow.f64 w 3)) (.f64 (.f64 1/8 (pow.f64 (log.f64 l) 2)) (pow.f64 w 3)))) (.f64 (sqrt.f64 l) (+.f64 (.f64 (.f64 1/8 (.f64 w w)) (pow.f64 (log.f64 l) 2)) (.f64 1/4 (.f64 (log.f64 l) (*.f64 w w)))))))
(+.f64 (sqrt.f64 l) (+.f64 (.f64 (sqrt.f64 l) (+.f64 (.f64 (pow.f64 w 3) (+.f64 (.f64 (pow.f64 (log.f64 l) 3) 1/48) (.f64 (pow.f64 (log.f64 l) 2) 1/8))) (.f64 (.f64 w w) (+.f64 (.f64 (pow.f64 (log.f64 l) 2) 1/8) (.f64 (log.f64 l) 1/4))))) (.f64 (sqrt.f64 l) (.f64 (log.f64 l) (+.f64 (.f64 w 1/2) (.f64 (pow.f64 w 3) 1/12))))))
(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)))

prune136.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	189	6	195
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	192	7	199

Error

0.1b

Counts

199 → 7

Alt Table

Status	Error	Program
	3.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))))
	16.5b	(-.f64 (+.f64 (fma.f64 (.f64 l (pow.f64 w 3)) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3))) (fma.f64 l (.f64 (log.f64 l) w) l)) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2))) (fma.f64 l w (.f64 (.f64 w w) (+.f64 (.f64 l (.f64 (log.f64 l) 1/2)) (.f64 w (*.f64 l 1/6))))))
	3.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (exp.f64 (log.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))))))
	4.4b	(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 2)))
▶	0.4b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
	1.2b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) 3))
	29.7b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) 1/3))

Compiler

Compiled 4472 to 1648 computations (63.1% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 w))
✓	0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
✓	0.3b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
✓	0.4b	(pow.f64 l (sqrt.f64 (exp.f64 w)))

series106.0ms (0.7%)

Counts

4 → 68

Calls

21 calls:

Time	Variable		Point	Expression
29.0ms	l	@	0	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
23.0ms	l	@	inf	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
15.0ms	l	@	-inf	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
14.0ms	w	@	inf	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
14.0ms	w	@	-inf	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`
99×	`pow1_binary64`
97×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	203	30
2	2530	30

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

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

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-l_binary64`
619×	`associate-+l+_binary64`
508×	`associate-r_binary64`
213×	`associate--l+_binary64`
162×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1064
1	360	1012
2	1314	935

Stop Event

1×	node limit

Counts

146 → 116

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (sqrt.f64 (exp.f64 w)))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (sqrt.f64 (exp.f64 w)))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (sqrt.f64 (exp.f64 w)))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (sqrt.f64 (exp.f64 w)))))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (sqrt.f64 (exp.f64 w))))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (sqrt.f64 (exp.f64 w))))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (sqrt.f64 (exp.f64 w))))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (sqrt.f64 (exp.f64 w))))
l
(+.f64 l (.f64 1/2 (.f64 (log.f64 l) (*.f64 l w))))
(+.f64 l (+.f64 (.f64 1/8 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/8 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 1/2 (.f64 (log.f64 l) (*.f64 l w))))))
(+.f64 l (+.f64 (.f64 1/48 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/8 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/8 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l w))) (.f64 1/48 (.f64 (pow.f64 (log.f64 l) 3) (.f64 l (pow.f64 w 3))))))))))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (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) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
l
(+.f64 l (.f64 (log.f64 l) (.f64 l w)))
(+.f64 l (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 (log.f64 l) (.f64 l w)))))
(+.f64 l (+.f64 (.f64 1/6 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 (log.f64 l) (.f64 l w)) (.f64 1/6 (.f64 (pow.f64 (log.f64 l) 3) (*.f64 l (pow.f64 w 3))))))))))
(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)))
l
(-.f64 (+.f64 l (.f64 (log.f64 l) (.f64 l w))) (*.f64 l w))
(-.f64 (+.f64 (.f64 1/2 (.f64 l (pow.f64 w 2))) (+.f64 l (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 (log.f64 l) (.f64 l w))))) (+.f64 (.f64 l w) (.f64 1/2 (.f64 (log.f64 l) (*.f64 l (pow.f64 w 2))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 l (pow.f64 w 2))) (+.f64 (.f64 1/6 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (log.f64 l) 3) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 (log.f64 l) (.f64 l w)) (+.f64 l (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2))))))))) (+.f64 (.f64 1/6 (.f64 l (pow.f64 w 3))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (*.f64 l w))))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 (.f64 -1 w)))
(.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 (.f64 -1 w)))
(.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 (.f64 -1 w)))
(.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 (.f64 -1 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (exp.f64 (neg.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) (log.f64 (/.f64 -1 l))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
(.f64 (exp.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w))) (exp.f64 (neg.f64 w)))
1
(+.f64 1 (*.f64 1/2 w))
(+.f64 1 (+.f64 (.f64 1/2 w) (.f64 1/8 (pow.f64 w 2))))
(+.f64 (.f64 1/48 (pow.f64 w 3)) (+.f64 1 (+.f64 (.f64 1/2 w) (*.f64 1/8 (pow.f64 w 2)))))

Outputs
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (sqrt.f64 (exp.f64 w)))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (sqrt.f64 (exp.f64 w)))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (sqrt.f64 (exp.f64 w)))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (sqrt.f64 (exp.f64 w)))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
l
(+.f64 l (.f64 1/2 (.f64 (log.f64 l) (*.f64 l w))))
(fma.f64 1/2 (.f64 l (.f64 w (log.f64 l))) l)
(+.f64 l (+.f64 (.f64 1/8 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/8 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 1/2 (.f64 (log.f64 l) (*.f64 l w))))))
(+.f64 l (fma.f64 1/8 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (fma.f64 1/8 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (.f64 1/2 (.f64 (log.f64 l) (*.f64 l w))))))
(+.f64 (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 (log.f64 l) 1/8) (.f64 1/8 (pow.f64 (log.f64 l) 2)))) (fma.f64 1/2 (.f64 l (*.f64 w (log.f64 l))) l))
(+.f64 (.f64 (.f64 1/8 (.f64 l (.f64 w w))) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (fma.f64 1/2 (.f64 l (.f64 w (log.f64 l))) l))
(+.f64 l (+.f64 (.f64 1/48 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/8 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/8 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l w))) (.f64 1/48 (.f64 (pow.f64 (log.f64 l) 3) (.f64 l (pow.f64 w 3))))))))))
(+.f64 l (fma.f64 1/48 (.f64 (.f64 (log.f64 l) l) (pow.f64 w 3)) (fma.f64 1/16 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 3))) (fma.f64 1/8 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (fma.f64 1/8 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (fma.f64 1/2 (.f64 (log.f64 l) (.f64 l w)) (.f64 1/48 (.f64 (*.f64 l (pow.f64 w 3)) (pow.f64 (log.f64 l) 3)))))))))
(+.f64 l (+.f64 (+.f64 (fma.f64 1/48 (.f64 (pow.f64 w 3) (.f64 l (pow.f64 (log.f64 l) 3))) (.f64 (.f64 1/2 (.f64 l w)) (log.f64 l))) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 (log.f64 l) 1/8) (.f64 1/8 (pow.f64 (log.f64 l) 2))))) (.f64 (.f64 l (pow.f64 w 3)) (+.f64 (.f64 (log.f64 l) 1/48) (.f64 (pow.f64 (log.f64 l) 2) 1/16)))))
(+.f64 (.f64 l (.f64 (pow.f64 w 3) (.f64 (log.f64 l) (+.f64 1/48 (.f64 1/16 (log.f64 l)))))) (+.f64 (.f64 l (+.f64 (.f64 (log.f64 l) (.f64 w 1/2)) (.f64 (pow.f64 (log.f64 l) 3) (.f64 1/48 (pow.f64 w 3))))) (+.f64 (.f64 (.f64 1/8 (.f64 l (*.f64 w w))) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l)))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (exp.f64 w)))
(exp.f64 (*.f64 (log.f64 l) (sqrt.f64 (exp.f64 w))))
(pow.f64 l (sqrt.f64 (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) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (exp.f64 w)))
(pow.f64 l (exp.f64 w))
l
(+.f64 l (.f64 (log.f64 l) (.f64 l w)))
(fma.f64 (log.f64 l) (*.f64 l w) l)
(+.f64 l (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 (log.f64 l) (.f64 l w)))))
(+.f64 l (fma.f64 1/2 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (.f64 (log.f64 l) (.f64 l w)))))
(+.f64 (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 (log.f64 l) 1/2) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (fma.f64 (log.f64 l) (.f64 l w) l))
(+.f64 (fma.f64 (log.f64 l) (.f64 l w) l) (.f64 w (.f64 (.f64 l w) (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/2))))))
(+.f64 l (+.f64 (.f64 1/6 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (+.f64 (.f64 (log.f64 l) (.f64 l w)) (.f64 1/6 (.f64 (pow.f64 (log.f64 l) 3) (*.f64 l (pow.f64 w 3))))))))))
(+.f64 l (fma.f64 1/6 (.f64 (.f64 (log.f64 l) l) (pow.f64 w 3)) (fma.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 3))) (fma.f64 1/2 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (fma.f64 (log.f64 l) (.f64 l w) (.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (.f64 l (pow.f64 w 3)))))))))
(+.f64 (+.f64 l (.f64 (.f64 l (pow.f64 w 3)) (+.f64 (.f64 (log.f64 l) 1/6) (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (+.f64 (fma.f64 (.f64 (pow.f64 w 3) (.f64 l (pow.f64 (log.f64 l) 3))) 1/6 (.f64 l (.f64 w (log.f64 l)))) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 (log.f64 l) 1/2) (*.f64 1/2 (pow.f64 (log.f64 l) 2))))))
(+.f64 l (+.f64 (.f64 l (+.f64 (.f64 (log.f64 l) w) (.f64 1/6 (.f64 (pow.f64 (log.f64 l) 3) (pow.f64 w 3))))) (+.f64 (.f64 w (.f64 (.f64 l w) (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/2))))) (.f64 (pow.f64 w 3) (.f64 l (.f64 (log.f64 l) (+.f64 1/6 (*.f64 (log.f64 l) 1/2))))))))
(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))
l
(-.f64 (+.f64 l (.f64 (log.f64 l) (.f64 l w))) (*.f64 l w))
(+.f64 l (-.f64 (.f64 (log.f64 l) (.f64 l w)) (*.f64 l w)))
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(+.f64 l (.f64 (.f64 l w) (+.f64 (log.f64 l) -1)))
(-.f64 (+.f64 (.f64 1/2 (.f64 l (pow.f64 w 2))) (+.f64 l (+.f64 (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2)))) (.f64 (log.f64 l) (.f64 l w))))) (+.f64 (.f64 l w) (.f64 1/2 (.f64 (log.f64 l) (*.f64 l (pow.f64 w 2))))))
(-.f64 (fma.f64 1/2 (.f64 l (.f64 w w)) (+.f64 l (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (.f64 (log.f64 l) (.f64 l w))))) (fma.f64 1/2 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (*.f64 l w)))
(-.f64 (fma.f64 1/2 (.f64 l (.f64 w w)) (fma.f64 (log.f64 l) (.f64 l w) (fma.f64 1/2 (.f64 l (.f64 (.f64 w w) (pow.f64 (log.f64 l) 2))) l))) (fma.f64 l w (.f64 (log.f64 l) (.f64 l (.f64 (.f64 w w) 1/2)))))
(-.f64 (+.f64 (fma.f64 (log.f64 l) (.f64 l w) l) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2))) (.f64 l (+.f64 w (.f64 1/2 (.f64 (log.f64 l) (*.f64 w w))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 l (pow.f64 w 2))) (+.f64 (.f64 1/6 (.f64 (log.f64 l) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (log.f64 l) 3) (.f64 l (pow.f64 w 3)))) (+.f64 (.f64 (log.f64 l) (.f64 l w)) (+.f64 l (.f64 1/2 (.f64 (pow.f64 (log.f64 l) 2) (.f64 l (pow.f64 w 2))))))))) (+.f64 (.f64 1/6 (.f64 l (pow.f64 w 3))) (+.f64 (.f64 1/2 (.f64 (log.f64 l) (.f64 l (pow.f64 w 2)))) (*.f64 l w))))
(-.f64 (fma.f64 1/2 (.f64 l (.f64 w w)) (fma.f64 1/6 (.f64 (.f64 (log.f64 l) l) (pow.f64 w 3)) (fma.f64 1/6 (.f64 (.f64 l (pow.f64 w 3)) (pow.f64 (log.f64 l) 3)) (+.f64 l (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (pow.f64 (log.f64 l) 2)) (.f64 (log.f64 l) (.f64 l w))))))) (fma.f64 1/6 (.f64 l (pow.f64 w 3)) (fma.f64 1/2 (.f64 (.f64 (log.f64 l) l) (.f64 w w)) (.f64 l w))))
(-.f64 (+.f64 (.f64 (.f64 l (pow.f64 w 3)) (+.f64 (.f64 (log.f64 l) 1/6) (.f64 (pow.f64 (log.f64 l) 3) 1/6))) (fma.f64 1/2 (.f64 l (.f64 w w)) (fma.f64 (log.f64 l) (.f64 l w) (fma.f64 1/2 (.f64 l (.f64 (.f64 w w) (pow.f64 (log.f64 l) 2))) l)))) (fma.f64 (.f64 l (pow.f64 w 3)) 1/6 (fma.f64 l w (.f64 (log.f64 l) (.f64 l (.f64 (*.f64 w w) 1/2))))))
(-.f64 (+.f64 (.f64 (.f64 l (pow.f64 w 3)) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)))) (+.f64 (fma.f64 (log.f64 l) (.f64 l w) l) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2)))) (fma.f64 (.f64 l (pow.f64 w 3)) 1/6 (.f64 l (+.f64 w (.f64 1/2 (.f64 (log.f64 l) (*.f64 w w)))))))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 (.f64 -1 w)))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
(.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 (.f64 -1 w)))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
(.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 (.f64 -1 w)))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
(.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 (.f64 -1 w)))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 w))
(.f64 (exp.f64 (.f64 (log.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 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) (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) (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) (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) (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))
1
(+.f64 1 (*.f64 1/2 w))
(+.f64 1 (*.f64 w 1/2))
(fma.f64 w 1/2 1)
(+.f64 1 (+.f64 (.f64 1/2 w) (.f64 1/8 (pow.f64 w 2))))
(+.f64 1 (fma.f64 1/2 w (.f64 1/8 (.f64 w w))))
(+.f64 1 (fma.f64 w 1/2 (.f64 1/8 (.f64 w w))))
(+.f64 1 (.f64 w (+.f64 1/2 (.f64 1/8 w))))
(+.f64 (.f64 1/48 (pow.f64 w 3)) (+.f64 1 (+.f64 (.f64 1/2 w) (*.f64 1/8 (pow.f64 w 2)))))
(fma.f64 1/48 (pow.f64 w 3) (+.f64 1 (fma.f64 1/2 w (.f64 1/8 (.f64 w w)))))
(+.f64 (fma.f64 w 1/2 (.f64 1/8 (.f64 w w))) (fma.f64 1/48 (pow.f64 w 3) 1))
(+.f64 (.f64 w (+.f64 1/2 (.f64 1/8 w))) (fma.f64 1/48 (pow.f64 w 3) 1))

prune137.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	147	7	154

Error

0.1b

Counts

154 → 7

Alt Table

Status	Error	Program
	4.4b	(.f64 (exp.f64 (neg.f64 w)) (pow.f64 (exp.f64 (.f64 (log.f64 l) (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))))
	16.5b	(-.f64 (+.f64 (fma.f64 (.f64 l (pow.f64 w 3)) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3))) (fma.f64 l (.f64 (log.f64 l) w) l)) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2))) (fma.f64 l w (.f64 (.f64 w w) (+.f64 (.f64 l (.f64 (log.f64 l) 1/2)) (.f64 w (*.f64 l 1/6))))))
	4.4b	(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 2)))
▶	0.3b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 l (exp.f64 w)) 1))
	3.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (exp.f64 (log.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))))))
✓	0.4b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
	29.7b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) 1/3))

Compiler

Compiled 2957 to 1205 computations (59.2% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 l (exp.f64 w)) 1))
	0.3b	(pow.f64 l (exp.f64 w))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	w	@	0	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 l (exp.f64 w)) 1))
0.0ms	w	@	inf	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 l (exp.f64 w)) 1))
0.0ms	l	@	-inf	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 l (exp.f64 w)) 1))
0.0ms	l	@	inf	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 l (exp.f64 w)) 1))
0.0ms	w	@	-inf	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 l (exp.f64 w)) 1))

rewrite32.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`pow1_binary64`
576×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	195	11
2	2076	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 l (exp.f64 w)) 1))

Outputs

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

490×	`fma-def_binary64`
343×	`associate-l_binary64`
276×	`associate-r_binary64`
254×	`associate-+l+_binary64`
228×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	444
1	214	432
2	740	373
3	3977	373

Stop Event

1×	node limit

Counts

39 → 26

Calls

Call 1

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

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

prune41.0ms (0.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	53	7	60

Error

0.1b

Counts

60 → 7

Alt Table

Status	Error	Program
	4.4b	(.f64 (exp.f64 (neg.f64 w)) (pow.f64 (exp.f64 (.f64 (log.f64 l) (sqrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w))))
	16.5b	(-.f64 (+.f64 (fma.f64 (.f64 l (pow.f64 w 3)) (.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3))) (fma.f64 l (.f64 (log.f64 l) w) l)) (.f64 (.f64 l (.f64 w w)) (+.f64 (.f64 1/2 (pow.f64 (log.f64 l) 2)) 1/2))) (fma.f64 l w (.f64 (.f64 w w) (+.f64 (.f64 l (.f64 (log.f64 l) 1/2)) (.f64 w (*.f64 l 1/6))))))
	4.4b	(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))) 2)))
✓	0.3b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 l (exp.f64 w)) 1))
	3.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (exp.f64 (log.f64 (sqrt.f64 (pow.f64 l (exp.f64 w)))))))
✓	0.4b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
	29.7b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) 1/3))

Compiler

Compiled 1100 to 536 computations (51.3% saved)

regimes140.0ms (0.9%)

Accuracy

Total 0.2b remaining (70.9%)

Threshold costs 0.2b (70.9%)

Counts

81 → 1

Compiler

Compiled 1617 to 662 computations (59.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	12	13
2	14	13
3	15	13
4	16	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))

Outputs
(.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (.f64 -1 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))

end113.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 171 to 111 computations (35.1% saved)

Details

analyze986.0ms (6.1%)

sample14.0s (86.6%)

preprocess45.0ms (0.3%)

simplify42.0ms (0.3%)

prune2.0ms (0%)

localize6.0ms (0%)

series59.0ms (0.4%)

rewrite41.0ms (0.3%)

simplify24.0ms (0.1%)

prune37.0ms (0.2%)

localize7.0ms (0%)

series8.0ms (0%)

rewrite38.0ms (0.2%)

simplify49.0ms (0.3%)

prune136.0ms (0.8%)

localize8.0ms (0%)

series106.0ms (0.7%)

rewrite49.0ms (0.3%)

simplify31.0ms (0.2%)

prune137.0ms (0.8%)

localize6.0ms (0%)

series2.0ms (0%)

rewrite32.0ms (0.2%)

simplify31.0ms (0.2%)

prune41.0ms (0.3%)

regimes140.0ms (0.9%)

simplify2.0ms (0%)

end113.0ms (0.7%)

Profiling