Details

analyze242.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample10.3s (65.8%)

Results

5.9s	1649×	body	8192	exit
2.0s	3322×	body	1024	invalid
1.4s	8256×	body	256	valid
504.0ms	1632×	body	512	invalid
334.0ms	2049×	body	256	invalid
16.0ms	5×	body	4096	invalid
11.0ms	3×	body	8192	invalid
4.0ms	5×	body	2048	invalid

preprocess98.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

606×	`sqr-pow_binary64`
408×	`associate-l_binary64`
400×	`pow-sqr_binary64`
386×	`associate-/l*_binary64`
354×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	31	26
2	67	22
3	156	22
4	504	22
5	2192	22
6	4007	22
7	4164	22
8	4396	22
9	4846	22
10	5692	22
11	7235	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 12 to 9 computations (25% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

957×	`associate-*l/_binary64`
656×	`unswap-sqr_binary64`
607×	`times-frac_binary64`
531×	`sqr-pow_binary64`
386×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	38	11
3	85	11
4	261	11
5	1119	11
6	4071	11
7	4170	11
8	4294	11
9	4531	11
10	4974	11
11	5791	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))

eval1.0ms (0%)

Compiler: Compiled 17 to 8 computations (52.9% saved)

prune1.0ms (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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
▶	0.1b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))

Compiler

Compiled 19 to 12 computations (36.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
✓	0.1b	(pow.f64 l (exp.f64 w))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series107.0ms (0.7%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	l	@	0	(pow.f64 l (exp.f64 w))
35.0ms	l	@	-inf	(pow.f64 l (exp.f64 w))
12.0ms	w	@	inf	(pow.f64 l (exp.f64 w))
8.0ms	l	@	inf	(pow.f64 l (exp.f64 w))
1.0ms	w	@	0	(pow.f64 l (exp.f64 w))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	159	17
2	2003	17

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-def_binary64`
441×	`distribute-lft-out_binary64`
432×	`distribute-rgt-out_binary64`
422×	`+-commutative_binary64`
295×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	631
1	232	613
2	775	552
3	3860	544

Stop Event

1×	node limit

Counts

67 → 49

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
	0.1b	(pow.f64 l (exp.f64 w))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series5.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite45.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	125	11
2	1638	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))

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

Outputs

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

711×	`cancel-sign-sub-inv_binary64`
509×	`+-commutative_binary64`
481×	`fma-neg_binary64`
323×	`associate-+l-_binary64`
321×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	330
1	187	322
2	596	312
3	3124	294
4	7964	294

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (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 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (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 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
l
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
(fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) l)
(+.f64 (.f64 (-.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l))))
(fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 l (log.f64 l) (.f64 l 1/2))) (.f64 w w) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l))))
(fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (.f64 l (+.f64 (log.f64 l) 1/2))) (.f64 w w) (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) l))
(fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (fma.f64 w (.f64 w (+.f64 l (.f64 l (-.f64 (.f64 (log.f64 l) (+.f64 (*.f64 (log.f64 l) 1/2) 1/2)) (+.f64 (log.f64 l) 1/2))))) l))
(fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) (fma.f64 (-.f64 (.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2)) (.f64 (log.f64 l) (.f64 l 1/2))) (.f64 w w) l))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 l (+.f64 (.f64 w (-.f64 (.f64 l (log.f64 l)) l)) (.f64 (-.f64 (+.f64 (.f64 l (log.f64 l)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (.f64 1/2 l))) (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 l (+.f64 (.f64 1/6 l) (.f64 1/2 (-.f64 (*.f64 l (log.f64 l)) l)))))) (pow.f64 w 3)))))
(fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 l (log.f64 l) (.f64 l 1/2))) (.f64 w w) (+.f64 l (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (.f64 (-.f64 (fma.f64 l (log.f64 l) (.f64 l (+.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) 1/2))) (+.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 1/6 l (.f64 (-.f64 (.f64 l (log.f64 l)) l) 1/2)))) (pow.f64 w 3)))))
(+.f64 (fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (.f64 l (+.f64 (log.f64 l) 1/2))) (.f64 w w) (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) l)) (.f64 (-.f64 (.f64 l (+.f64 (log.f64 l) (+.f64 1/2 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 (log.f64 l) 1/6 (.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (.f64 (-.f64 (.f64 l (log.f64 l)) l) 1/2) (*.f64 7/6 l)))) (pow.f64 w 3)))
(fma.f64 w (.f64 w (+.f64 l (.f64 l (-.f64 (.f64 (log.f64 l) (+.f64 (.f64 (log.f64 l) 1/2) 1/2)) (+.f64 (log.f64 l) 1/2))))) (fma.f64 (-.f64 (.f64 l (+.f64 (log.f64 l) (fma.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)) (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2)))) (fma.f64 7/6 l (.f64 1/2 (+.f64 (-.f64 (.f64 l (log.f64 l)) l) (.f64 l (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))))))) (pow.f64 w 3) (fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)))
(fma.f64 w (.f64 w (-.f64 (.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2)) (.f64 (log.f64 l) (.f64 l 1/2)))) (fma.f64 (-.f64 (.f64 l (-.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 (log.f64 l) 2)) (+.f64 1/2 (.f64 (log.f64 l) 1/6))) (.f64 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)) -1/2)) 1/6)) (.f64 l (-.f64 1/2 (.f64 (log.f64 l) 1/2)))) (pow.f64 w 3) (fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) l)))
(fma.f64 w (.f64 w (-.f64 (.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2)) (.f64 (log.f64 l) (.f64 l 1/2)))) (fma.f64 (-.f64 (.f64 l (-.f64 (+.f64 (.f64 (+.f64 1 (pow.f64 (log.f64 l) 2)) (+.f64 1/2 (.f64 (log.f64 l) 1/6))) (.f64 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)) -1/2)) 1/6)) (*.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) -1/2)) (pow.f64 w 3) (fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) l)))

eval55.0ms (0.4%)

Compiler: Compiled 1923 to 767 computations (60.1% saved)

prune30.0ms (0.2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	101	16	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	18	119

Error

0.0b

Counts

119 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	14.2b	(fma.f64 w (*.f64 l (+.f64 (log.f64 l) -1)) l)
▶	7.5b	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))
	8.3b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)))
	8.3b	(/.f64 (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)) (exp.f64 w))
	4.6b	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
✓	0.1b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
	7.5b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
✓	0.1b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
▶	34.1b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3))
	14.2b	(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
	0.5b	(/.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w))) (exp.f64 w))
	0.5b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
▶	0.1b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
	13.8b	l
	4.6b	(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
▶	1.5b	(/.f64 l (exp.f64 w))
▶	1.7b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
	2.4b	(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))

Compiler

Compiled 554 to 340 computations (38.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (exp.f64 w))
✓	0.0b	(pow.f64 (cbrt.f64 (exp.f64 w)) 2)
✓	0.0b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
	0.1b	(pow.f64 l (exp.f64 w))

Compiler

Compiled 51 to 19 computations (62.7% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	w	@	inf	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
2.0ms	w	@	inf	(pow.f64 (cbrt.f64 (exp.f64 w)) 2)
2.0ms	w	@	-inf	(pow.f64 (cbrt.f64 (exp.f64 w)) 2)
1.0ms	l	@	0	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
1.0ms	w	@	0	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
355×	`pow-prod-down_binary64`
287×	`pow2_binary64`
284×	`pow-unpow_binary64`
249×	`pow-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	253	24
2	3140	22

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(pow.f64 (cbrt.f64 (exp.f64 w)) 2)
(cbrt.f64 (exp.f64 w))

Outputs

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

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

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

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

676×	`cancel-sign-sub-inv_binary64`
493×	`fma-neg_binary64`
471×	`fma-def_binary64`
327×	`associate-+l-_binary64`
288×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	608
1	258	595
2	779	579
3	3747	563

Stop Event

1×	node limit

Counts

167 → 144

Calls

Call 1

Inputs
l
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 l (log.f64 l)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (.f64 1/2 l))) (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 l (+.f64 (.f64 1/2 (-.f64 (.f64 l (log.f64 l)) l)) (.f64 1/6 l))))) (pow.f64 w 3)) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l)))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (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 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
1
(+.f64 1 (*.f64 2/3 w))
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 2/3 w)))
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3)))))
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
1
(+.f64 1 (*.f64 1/3 w))
(+.f64 1 (+.f64 (.f64 1/3 w) (.f64 1/18 (pow.f64 w 2))))
(+.f64 1 (+.f64 (.f64 1/162 (pow.f64 w 3)) (+.f64 (.f64 1/3 w) (*.f64 1/18 (pow.f64 w 2)))))
(pow.f64 (exp.f64 w) 1/3)
(pow.f64 (exp.f64 w) 1/3)
(pow.f64 (exp.f64 w) 1/3)
(pow.f64 (exp.f64 w) 1/3)
(pow.f64 (exp.f64 w) 1/3)
(pow.f64 (exp.f64 w) 1/3)
(pow.f64 (exp.f64 w) 1/3)
(pow.f64 (exp.f64 w) 1/3)

Outputs
l
(+.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 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l))))
(fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 l (log.f64 l) (.f64 l 1/2))) (.f64 w w) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l))))
(fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (.f64 l (+.f64 (log.f64 l) 1/2))) (.f64 w w) (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) l))
(fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (fma.f64 w (.f64 w (+.f64 l (.f64 l (-.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (log.f64 l) 1/2))))) l))
(fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (fma.f64 w (.f64 w (-.f64 (.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2)) (.f64 l (*.f64 (log.f64 l) 1/2)))) l))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 l (log.f64 l)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (.f64 1/2 l))) (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 l (+.f64 (.f64 1/2 (-.f64 (.f64 l (log.f64 l)) l)) (.f64 1/6 l))))) (pow.f64 w 3)) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l)))))
(fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 l (log.f64 l) (.f64 l 1/2))) (.f64 w w) (fma.f64 (-.f64 (fma.f64 l (log.f64 l) (.f64 l (+.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) 1/2))) (+.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 1/2 (-.f64 (.f64 l (log.f64 l)) l) (.f64 l 1/6)))) (pow.f64 w 3) (+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))))
(fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (.f64 l (+.f64 (log.f64 l) 1/2))) (.f64 w w) (fma.f64 (-.f64 (.f64 l (+.f64 (log.f64 l) (+.f64 1/2 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 (log.f64 l) 1/6 (.f64 1/2 (pow.f64 (log.f64 l) 2))))))) (+.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 (-.f64 (.f64 l (log.f64 l)) l) 1/2 (.f64 l 1/6)))) (pow.f64 w 3) (fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)))
(fma.f64 (-.f64 (.f64 l (-.f64 (+.f64 (log.f64 l) (fma.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)) (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2))) (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))))) (fma.f64 (-.f64 (.f64 l (log.f64 l)) l) 1/2 (.f64 7/6 l))) (pow.f64 w 3) (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (fma.f64 w (.f64 w (+.f64 l (.f64 l (-.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (log.f64 l) 1/2))))) l)))
(fma.f64 (-.f64 (.f64 l (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 l) 2) 1) (+.f64 (.f64 (log.f64 l) 1/6) 1/2)) (.f64 (log.f64 l) (-.f64 1 (.f64 1/2 (+.f64 (log.f64 l) 1)))))) (+.f64 (.f64 l (.f64 (log.f64 l) 1/2)) (.f64 l 2/3))) (pow.f64 w 3) (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (fma.f64 w (.f64 w (-.f64 (.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2)) (.f64 l (*.f64 (log.f64 l) 1/2)))) l)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (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 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (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 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
1
(+.f64 1 (*.f64 2/3 w))
(+.f64 1 (*.f64 w 2/3))
(fma.f64 w 2/3 1)
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 2/3 w)))
(+.f64 1 (fma.f64 2/9 (.f64 w w) (.f64 w 2/3)))
(+.f64 1 (fma.f64 w 2/3 (.f64 w (.f64 w 2/9))))
(fma.f64 w 2/3 (fma.f64 (*.f64 w w) 2/9 1))
(fma.f64 w 2/3 (fma.f64 w (*.f64 w 2/9) 1))
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3)))))
(+.f64 1 (fma.f64 2/9 (.f64 w w) (fma.f64 2/3 w (.f64 (pow.f64 w 3) 4/81))))
(+.f64 1 (fma.f64 (.f64 w w) 2/9 (fma.f64 (pow.f64 w 3) 4/81 (.f64 w 2/3))))
(+.f64 (fma.f64 w 2/3 1) (.f64 (.f64 w w) (+.f64 2/9 (*.f64 w 4/81))))
(+.f64 1 (.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (*.f64 w 4/81))))))
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 w) 2))
(cbrt.f64 (exp.f64 (+.f64 w w)))
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 w) 2))
(cbrt.f64 (exp.f64 (+.f64 w w)))
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 w) 2))
(cbrt.f64 (exp.f64 (+.f64 w w)))
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 w) 2))
(cbrt.f64 (exp.f64 (+.f64 w w)))
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 w) 2))
(cbrt.f64 (exp.f64 (+.f64 w w)))
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 w) 2))
(cbrt.f64 (exp.f64 (+.f64 w w)))
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 w) 2))
(cbrt.f64 (exp.f64 (+.f64 w w)))
(pow.f64 (pow.f64 (exp.f64 w) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 w) 2))
(cbrt.f64 (exp.f64 (+.f64 w w)))
1
(+.f64 1 (*.f64 1/3 w))
(+.f64 1 (*.f64 w 1/3))
(fma.f64 w 1/3 1)
(+.f64 1 (+.f64 (.f64 1/3 w) (.f64 1/18 (pow.f64 w 2))))
(+.f64 1 (fma.f64 1/3 w (.f64 (.f64 w w) 1/18)))
(+.f64 1 (fma.f64 w 1/3 (.f64 w (.f64 w 1/18))))
(fma.f64 w 1/3 (fma.f64 w (*.f64 w 1/18) 1))
(+.f64 1 (+.f64 (.f64 1/162 (pow.f64 w 3)) (+.f64 (.f64 1/3 w) (*.f64 1/18 (pow.f64 w 2)))))
(+.f64 1 (fma.f64 1/162 (pow.f64 w 3) (fma.f64 1/3 w (.f64 (.f64 w w) 1/18))))
(+.f64 1 (fma.f64 (pow.f64 w 3) 1/162 (fma.f64 w 1/3 (.f64 w (.f64 w 1/18)))))
(fma.f64 (pow.f64 w 3) 1/162 (fma.f64 w 1/3 (fma.f64 w (*.f64 w 1/18) 1)))
(+.f64 1 (.f64 w (+.f64 1/3 (.f64 w (+.f64 (*.f64 w 1/162) 1/18)))))
(pow.f64 (exp.f64 w) 1/3)
(cbrt.f64 (exp.f64 w))
(pow.f64 (exp.f64 w) 1/3)
(cbrt.f64 (exp.f64 w))
(pow.f64 (exp.f64 w) 1/3)
(cbrt.f64 (exp.f64 w))
(pow.f64 (exp.f64 w) 1/3)
(cbrt.f64 (exp.f64 w))
(pow.f64 (exp.f64 w) 1/3)
(cbrt.f64 (exp.f64 w))
(pow.f64 (exp.f64 w) 1/3)
(cbrt.f64 (exp.f64 w))
(pow.f64 (exp.f64 w) 1/3)
(cbrt.f64 (exp.f64 w))
(pow.f64 (exp.f64 w) 1/3)
(cbrt.f64 (exp.f64 w))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 l (exp.f64 w))

Compiler

Compiled 10 to 4 computations (60% saved)

series4.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
487×	`add-log-exp_binary64`
487×	`log1p-expm1-u_binary64`
487×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	100	6
2	1305	6

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 l (exp.f64 w))

Outputs

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

653×	`unsub-neg_binary64`
409×	`associate--r+_binary64`
381×	`associate-+l-_binary64`
355×	`associate--l+_binary64`
300×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	73
1	105	58
2	425	53
3	2546	49
4	7135	49

Stop Event

1×	node limit

Counts

34 → 37

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 l (.f64 l (.f64 w (log.f64 l))))
✓	0.0b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
✓	0.2b	(*.f64 w (log.f64 l))
✓	0.7b	(.f64 l (.f64 w (log.f64 l)))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series67.0ms (0.4%)

Counts

4 → 55

Calls

24 calls:

Time	Variable		Point	Expression
30.0ms	l	@	-inf	(.f64 l (.f64 w (log.f64 l)))
16.0ms	w	@	inf	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
7.0ms	l	@	0	(.f64 l (.f64 w (log.f64 l)))
4.0ms	w	@	0	(.f64 l (.f64 w (log.f64 l)))
1.0ms	l	@	inf	(.f64 l (.f64 w (log.f64 l)))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

993×	`prod-diff_binary64`
546×	`log-prod_binary64`
294×	`fma-def_binary64`
261×	`pow2_binary64`
196×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	190	40
2	2746	40

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

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

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-+l+_binary64`
590×	`distribute-rgt-in_binary64`
556×	`distribute-lft-in_binary64`
494×	`associate-+r+_binary64`
367×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	810
1	184	741
2	557	666
3	2266	656

Stop Event

1×	node limit

Counts

200 → 168

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (*.f64 l w)))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (*.f64 l w)))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (*.f64 l w)))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (*.f64 l w)))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))
(.f64 l (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) w))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))
(.f64 l (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) w))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))
(.f64 l (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) w))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))
(.f64 l (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) w))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) w))
(neg.f64 (*.f64 (neg.f64 (log.f64 l)) w))
(*.f64 (neg.f64 (log.f64 l)) (neg.f64 w))
(*.f64 w (log.f64 l))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) w))
(neg.f64 (*.f64 (neg.f64 (log.f64 l)) w))
(*.f64 (neg.f64 (log.f64 l)) (neg.f64 w))
(*.f64 w (log.f64 l))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) w))
(neg.f64 (*.f64 (neg.f64 (log.f64 l)) w))
(*.f64 (neg.f64 (log.f64 l)) (neg.f64 w))
(*.f64 w (log.f64 l))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) w))
(neg.f64 (*.f64 (neg.f64 (log.f64 l)) w))
(*.f64 (neg.f64 (log.f64 l)) (neg.f64 w))
(*.f64 w (log.f64 l))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) w)
(neg.f64 (*.f64 (neg.f64 (log.f64 l)) w))
(*.f64 (neg.f64 (log.f64 l)) (neg.f64 w))
(*.f64 w (log.f64 l))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) w)
(neg.f64 (*.f64 (neg.f64 (log.f64 l)) w))
(*.f64 (neg.f64 (log.f64 l)) (neg.f64 w))
(*.f64 w (log.f64 l))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) w)
(neg.f64 (*.f64 (neg.f64 (log.f64 l)) w))
(*.f64 (neg.f64 (log.f64 l)) (neg.f64 w))
(*.f64 w (log.f64 l))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) w)
(neg.f64 (*.f64 (neg.f64 (log.f64 l)) w))
(*.f64 (neg.f64 (log.f64 l)) (neg.f64 w))
(*.f64 w (log.f64 l))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) w)))) (exp.f64 w))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) w)))) (exp.f64 w))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) w)))) (exp.f64 w))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) w)))) (exp.f64 w))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 l (-.f64 (.f64 -1 (.f64 w (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) 1)) (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 l (-.f64 (.f64 -1 (.f64 w (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) 1)) (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 l (-.f64 (.f64 -1 (.f64 w (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) 1)) (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 l (-.f64 (.f64 -1 (.f64 w (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) 1)) (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
l
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) l)
(fma.f64 w (*.f64 l (+.f64 -1 (log.f64 l))) l)
(+.f64 (.f64 (-.f64 l (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l))))
(fma.f64 (-.f64 l (fma.f64 l (log.f64 l) (.f64 l 1/2))) (.f64 w w) (+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l))))
(fma.f64 (-.f64 l (.f64 l (+.f64 1/2 (log.f64 l)))) (.f64 w w) (fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) l))
(fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) (fma.f64 w (.f64 w (-.f64 l (.f64 l (+.f64 (log.f64 l) 1/2)))) l))
(fma.f64 w (.f64 l (+.f64 -1 (log.f64 l))) (fma.f64 w (.f64 w (*.f64 l (-.f64 1/2 (log.f64 l)))) l))
(+.f64 (.f64 (-.f64 l (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 (.f64 (pow.f64 w 3) (-.f64 (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l)) (+.f64 l (+.f64 (.f64 1/2 (-.f64 (.f64 l (log.f64 l)) l)) (.f64 1/6 l))))) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l)))))
(fma.f64 (-.f64 l (fma.f64 l (log.f64 l) (.f64 l 1/2))) (.f64 w w) (fma.f64 (pow.f64 w 3) (-.f64 (fma.f64 l (log.f64 l) (.f64 l 1/2)) (+.f64 l (fma.f64 1/2 (-.f64 (.f64 l (log.f64 l)) l) (.f64 l 1/6)))) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l)))))
(fma.f64 (-.f64 l (.f64 l (+.f64 1/2 (log.f64 l)))) (.f64 w w) (fma.f64 (pow.f64 w 3) (-.f64 (-.f64 (.f64 l (+.f64 1/2 (log.f64 l))) l) (fma.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) 1/2 (.f64 l 1/6))) (fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) l)))
(fma.f64 w (.f64 w (-.f64 l (.f64 l (+.f64 (log.f64 l) 1/2)))) (fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) (fma.f64 (pow.f64 w 3) (-.f64 (.f64 l (+.f64 (log.f64 l) 1/2)) (fma.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) 1/2 (.f64 l 7/6))) l)))
(fma.f64 w (.f64 w (.f64 l (-.f64 1/2 (log.f64 l)))) (fma.f64 (pow.f64 w 3) (-.f64 (.f64 l (-.f64 (+.f64 (log.f64 l) -1/2) (.f64 (log.f64 l) 1/2))) (.f64 l -1/3)) (fma.f64 w (.f64 l (+.f64 -1 (log.f64 l))) l)))
(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (*.f64 w (log.f64 l))))
(/.f64 (.f64 (.f64 l w) (log.f64 l)) (exp.f64 w))
(.f64 (.f64 w (log.f64 l)) (/.f64 l (exp.f64 w)))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (*.f64 w (log.f64 l))))
(/.f64 (.f64 (.f64 l w) (log.f64 l)) (exp.f64 w))
(.f64 (.f64 w (log.f64 l)) (/.f64 l (exp.f64 w)))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 w (log.f64 l)))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 w (log.f64 l) 1)))
(*.f64 (fma.f64 w (log.f64 l) 1) (/.f64 l (exp.f64 w)))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 l (+.f64 1 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) w))))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 l (+.f64 1 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) w))))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 l (+.f64 1 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) w))))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 l (+.f64 1 (.f64 -1 (*.f64 (log.f64 (/.f64 1 l)) w))))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 -1 (.f64 l (-.f64 (.f64 -1 (.f64 w (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) 1)))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 -1 (.f64 l (-.f64 (.f64 -1 (.f64 w (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) 1)))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 -1 (.f64 l (-.f64 (.f64 -1 (.f64 w (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) 1)))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
(.f64 -1 (.f64 l (-.f64 (.f64 -1 (.f64 w (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) 1)))
(.f64 l (+.f64 1 (.f64 w (log.f64 l))))
(*.f64 l (fma.f64 w (log.f64 l) 1))
l
(.f64 l (.f64 w (log.f64 l)))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))
(.f64 l (.f64 w (log.f64 l)))
(neg.f64 (.f64 (neg.f64 (log.f64 l)) (.f64 l w)))
(neg.f64 (neg.f64 (.f64 (.f64 l w) (log.f64 l))))
(.f64 (.f64 l w) (log.f64 l))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1))))
✓	0.3b	(.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1))
✓	2.2b	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))
✓	4.0b	(fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)

Compiler

Compiled 98 to 53 computations (45.9% saved)

series21.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	l	@	-inf	(.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1))
2.0ms	l	@	-inf	(fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)
2.0ms	l	@	0	(fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)
2.0ms	l	@	inf	(fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)
1.0ms	l	@	-inf	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`log-prod_binary64`
600×	`fma-def_binary64`
300×	`fma-neg_binary64`
283×	`log1p-udef_binary64`
282×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	97
1	327	91
2	4730	91

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

Inputs
(fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)
(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))
(.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1))
(.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 w (.f64 1/2 (.f64 w (+.f64 (log.f64 l) 1))) w) l) (exp.f64 w)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 w (.f64 1/2 (.f64 w (+.f64 (log.f64 l) 1))) w) l) (exp.f64 w)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 w (.f64 1/2 (.f64 w (+.f64 (log.f64 l) 1))) w) l) (exp.f64 w)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 w (.f64 1/2 (.f64 w (+.f64 (log.f64 l) 1))) w) l) (exp.f64 w))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 w (.f64 1/2 (.f64 w (+.f64 (log.f64 l) 1))) w) l) (exp.f64 w))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 w (.f64 1/2 (.f64 w (+.f64 (log.f64 l) 1))) w) l) (exp.f64 w))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-neg_binary64`
513×	`fma-def_binary64`
445×	`associate-l_binary64`
440×	`associate-r_binary64`
425×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	2308
1	296	2267
2	1055	2064
3	5494	2059

Stop Event

1×	node limit

Counts

295 → 240

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3)
	0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
	0.1b	(pow.f64 l (exp.f64 w))
✓	32.8b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	w	@	0	(pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3)
1.0ms	l	@	-inf	(pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3)
1.0ms	w	@	inf	(pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3)
1.0ms	w	@	-inf	(pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3)
1.0ms	l	@	inf	(pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3)

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
791×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
768×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	195	25
2	2219	25

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3))
(pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3)

Outputs

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-def_binary64`
566×	`distribute-rgt-in_binary64`
557×	`distribute-lft-in_binary64`
471×	`associate-+l+_binary64`
465×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1493
1	364	1448
2	1438	1354

Stop Event

1×	node limit

Counts

126 → 101

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (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 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (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 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 l))))) w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l)))) w))
(/.f64 (pow.f64 (*.f64 -1 (pow.f64 (/.f64 -1 l) -1)) (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 l))))) w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l)))) w))
(/.f64 (pow.f64 (*.f64 -1 (pow.f64 (/.f64 -1 l) -1)) (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 l))))) w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l)))) w))
(/.f64 (pow.f64 (*.f64 -1 (pow.f64 (/.f64 -1 l) -1)) (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 l))))) w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l)))) w))
(/.f64 (pow.f64 (*.f64 -1 (pow.f64 (/.f64 -1 l) -1)) (exp.f64 w)) (exp.f64 w))
l
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(+.f64 l (*.f64 w (fma.f64 l (log.f64 l) (neg.f64 l))))
(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
(fma.f64 w (fma.f64 l (log.f64 l) (neg.f64 l)) l)
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(fma.f64 (pow.f64 w 3) (fma.f64 l (.f64 2 (fma.f64 l (fma.f64 l (+.f64 (log.f64 l) (fma.f64 1/6 (+.f64 (pow.f64 (log.f64 l) 3) (log.f64 l)) (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2))) (neg.f64 (fma.f64 7/6 l (.f64 1/2 (+.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) (.f64 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)) l)))))) (.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) (+.f64 l (.f64 l (-.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (log.f64 l) 1/2))))))) (+.f64 (fma.f64 (fma.f64 l (+.f64 (log.f64 l) (fma.f64 1/6 (+.f64 (pow.f64 (log.f64 l) 3) (log.f64 l)) (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2))) (neg.f64 (fma.f64 7/6 l (.f64 1/2 (+.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) (.f64 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2)) l)))))) (.f64 l l) (pow.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) 3)) (.f64 (.f64 l (.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) (+.f64 l (.f64 l (-.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (log.f64 l) 1/2)))))) 4))) (fma.f64 w (.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) (.f64 3 (.f64 l l))) (fma.f64 w (.f64 w (fma.f64 l (.f64 l (+.f64 l (.f64 l (-.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (log.f64 l) 1/2))))) (.f64 l (+.f64 (fma.f64 (+.f64 l (.f64 l (-.f64 (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (+.f64 (log.f64 l) 1/2)))) (.f64 l 2) (pow.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) 2)) (.f64 (pow.f64 (fma.f64 l (log.f64 l) (neg.f64 l)) 2) 2))))) (pow.f64 l 3))))
(/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) (pow.f64 (exp.f64 w) 3))
(/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) (pow.f64 (exp.f64 w) 3))
(/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) (pow.f64 (exp.f64 w) 3))
(/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) (pow.f64 (exp.f64 w) 3))
(/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) (pow.f64 (exp.f64 w) 3))
(/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) (pow.f64 (exp.f64 w) 3))
(/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) (pow.f64 (exp.f64 w) 3))
(/.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3) (pow.f64 (exp.f64 w) 3))

eval302.0ms (1.9%)

Compiler: Compiled 17781 to 7666 computations (56.9% saved)

prune144.0ms (0.9%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	808	15	823
Fresh	7	4	11
Picked	0	1	1
Done	1	5	6
Total	816	25	841

Error

0.0b

Counts

841 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.5b	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))
	4.6b	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
	8.3b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)))
	8.3b	(/.f64 (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)) (exp.f64 w))
✓	0.1b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
	0.5b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
	4.6b	(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
▶	7.5b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
✓	0.1b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
	0.3b	(/.f64 (exp.f64 (*.f64 -2/3 w)) (/.f64 (cbrt.f64 (exp.f64 w)) (pow.f64 l (exp.f64 w))))
▶	0.1b	(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
	0.6b	(.f64 (/.f64 1 (+.f64 1 (.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (.f64 w 4/81))))))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
▶	49.2b	(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
	13.8b	l
	0.5b	(/.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w))) (exp.f64 w))
	0.1b	(/.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (cbrt.f64 (exp.f64 w)))
	14.2b	(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
✓	1.5b	(/.f64 l (exp.f64 w))
	14.3b	(+.f64 l (.f64 w (-.f64 (.f64 w (+.f64 (.f64 l 1/2) (.f64 w (*.f64 l -1/6)))) l)))
✓	1.7b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
▶	14.0b	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2)))))) l) (exp.f64 w))
	14.2b	(+.f64 l (.f64 w (-.f64 (.f64 w (*.f64 l 1/2)) l)))
▶	14.0b	(-.f64 l (*.f64 l w))
✓	34.1b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3))
	1.0b	(.f64 (/.f64 1 (+.f64 1 (.f64 2/3 w))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

Compiler

Compiled 758 to 478 computations (36.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)
✓	0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3)
✓	0.0b	(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
	0.1b	(pow.f64 l (exp.f64 w))

Compiler

Compiled 71 to 29 computations (59.2% saved)

series33.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	w	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3)
14.0ms	w	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3)
1.0ms	w	@	0	(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
1.0ms	w	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)
1.0ms	w	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`log-prod_binary64`
353×	`pow-unpow_binary64`
326×	`pow2_binary64`
227×	`pow1/3_binary64`
223×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	324	24
2	3675	22

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

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

(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)

Outputs

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

670×	`cancel-sign-sub-inv_binary64`
481×	`fma-neg_binary64`
472×	`fma-def_binary64`
327×	`associate-+l-_binary64`
288×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	648
1	261	635
2	797	619
3	3803	579

Stop Event

1×	node limit

Counts

172 → 150

Calls

Call 1

Inputs
l
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 l (log.f64 l)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (.f64 1/2 l))) (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 l (+.f64 (.f64 1/2 (-.f64 (.f64 l (log.f64 l)) l)) (.f64 1/6 l))))) (pow.f64 w 3)) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l)))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (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 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
1
(+.f64 1 (*.f64 1/3 w))
(+.f64 1 (+.f64 (.f64 1/3 w) (.f64 1/18 (pow.f64 w 2))))
(+.f64 1 (+.f64 (.f64 1/162 (pow.f64 w 3)) (+.f64 (.f64 1/3 w) (*.f64 1/18 (pow.f64 w 2)))))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
1
(+.f64 1 (*.f64 2/3 w))
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 2/3 w)))
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3)))))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)

Outputs
l
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
(fma.f64 w (*.f64 l (+.f64 (log.f64 l) -1)) l)
(+.f64 (.f64 (-.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l))))
(fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 l (log.f64 l) (.f64 l 1/2))) (.f64 w w) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l))))
(fma.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (-.f64 l (.f64 l (+.f64 (log.f64 l) 1/2)))) (.f64 w w) (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) l))
(fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (fma.f64 (+.f64 l (.f64 l (-.f64 (.f64 1/2 (.f64 (log.f64 l) (+.f64 (log.f64 l) 1))) (+.f64 (log.f64 l) 1/2)))) (*.f64 w w) l))
(fma.f64 w (.f64 l (+.f64 (log.f64 l) -1)) (fma.f64 (-.f64 (.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2)) (.f64 l (.f64 (log.f64 l) 1/2))) (*.f64 w w) l))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 l (log.f64 l)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (.f64 1/2 l))) (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 l (+.f64 (.f64 1/2 (-.f64 (.f64 l (log.f64 l)) l)) (.f64 1/6 l))))) (pow.f64 w 3)) (+.f64 l (.f64 w (-.f64 (*.f64 l (log.f64 l)) l)))))
(fma.f64 (-.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 l (log.f64 l) (.f64 l 1/2))) (.f64 w w) (fma.f64 (-.f64 (fma.f64 l (log.f64 l) (.f64 l (+.f64 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 1/6 (log.f64 l) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) 1/2))) (+.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 1/2 (-.f64 (.f64 l (log.f64 l)) l) (.f64 l 1/6)))) (pow.f64 w 3) (+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))))
(fma.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (-.f64 l (.f64 l (+.f64 (log.f64 l) 1/2)))) (.f64 w w) (fma.f64 (-.f64 (.f64 l (+.f64 (+.f64 1/2 (fma.f64 1/6 (pow.f64 (log.f64 l) 3) (fma.f64 (log.f64 l) 1/6 (.f64 1/2 (pow.f64 (log.f64 l) 2))))) (log.f64 l))) (+.f64 (fma.f64 l (.f64 1/2 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) l) (fma.f64 (-.f64 (.f64 l (log.f64 l)) l) 1/2 (.f64 l 1/6)))) (pow.f64 w 3) (fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)))
(fma.f64 (-.f64 (.f64 l (-.f64 (+.f64 (log.f64 l) (fma.f64 1/6 (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 3)) (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2))) (.f64 1/2 (.f64 (log.f64 l) (+.f64 (log.f64 l) 1))))) (fma.f64 (-.f64 (.f64 l (log.f64 l)) l) 1/2 (.f64 7/6 l))) (pow.f64 w 3) (fma.f64 w (-.f64 (.f64 l (log.f64 l)) l) (fma.f64 (+.f64 l (.f64 l (-.f64 (.f64 1/2 (.f64 (log.f64 l) (+.f64 (log.f64 l) 1))) (+.f64 (log.f64 l) 1/2)))) (.f64 w w) l)))
(fma.f64 (-.f64 (.f64 l (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 l) 2) 1) (+.f64 (.f64 (log.f64 l) 1/6) 1/2)) (.f64 (log.f64 l) (-.f64 1 (.f64 1/2 (+.f64 (log.f64 l) 1)))))) (+.f64 (.f64 l (.f64 (log.f64 l) 1/2)) (.f64 l 2/3))) (pow.f64 w 3) (fma.f64 w (.f64 l (+.f64 (log.f64 l) -1)) (fma.f64 (-.f64 (.f64 l (fma.f64 1/2 (pow.f64 (log.f64 l) 2) 1/2)) (.f64 l (.f64 (log.f64 l) 1/2))) (*.f64 w w) l)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (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 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (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 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (exp.f64 w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
1
(+.f64 1 (*.f64 1/3 w))
(+.f64 1 (*.f64 w 1/3))
(fma.f64 w 1/3 1)
(+.f64 1 (+.f64 (.f64 1/3 w) (.f64 1/18 (pow.f64 w 2))))
(+.f64 1 (fma.f64 1/3 w (.f64 (.f64 w w) 1/18)))
(+.f64 1 (fma.f64 w 1/3 (.f64 (.f64 1/18 w) w)))
(fma.f64 w (*.f64 w 1/18) (fma.f64 w 1/3 1))
(fma.f64 w 1/3 (fma.f64 w (*.f64 w 1/18) 1))
(+.f64 1 (+.f64 (.f64 1/162 (pow.f64 w 3)) (+.f64 (.f64 1/3 w) (*.f64 1/18 (pow.f64 w 2)))))
(+.f64 1 (fma.f64 1/162 (pow.f64 w 3) (fma.f64 1/3 w (.f64 (.f64 w w) 1/18))))
(+.f64 1 (fma.f64 (pow.f64 w 3) 1/162 (fma.f64 w 1/3 (.f64 (.f64 1/18 w) w))))
(fma.f64 (pow.f64 w 3) 1/162 (fma.f64 w (*.f64 w 1/18) (fma.f64 w 1/3 1)))
(fma.f64 (pow.f64 w 3) 1/162 (fma.f64 w 1/3 (fma.f64 w (*.f64 w 1/18) 1)))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 3)
(exp.f64 (*.f64 w 1/3))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 3)
(exp.f64 (*.f64 w 1/3))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 3)
(exp.f64 (*.f64 w 1/3))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 3)
(exp.f64 (*.f64 w 1/3))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 3)
(exp.f64 (*.f64 w 1/3))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 3)
(exp.f64 (*.f64 w 1/3))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 3)
(exp.f64 (*.f64 w 1/3))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 3)
(exp.f64 (*.f64 w 1/3))
1
(+.f64 1 (*.f64 2/3 w))
(+.f64 1 (*.f64 w 2/3))
(fma.f64 w 2/3 1)
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 2/3 w)))
(+.f64 1 (fma.f64 2/9 (.f64 w w) (.f64 w 2/3)))
(+.f64 1 (fma.f64 w 2/3 (.f64 w (.f64 w 2/9))))
(fma.f64 w 2/3 (fma.f64 w (*.f64 w 2/9) 1))
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3)))))
(+.f64 1 (fma.f64 2/9 (.f64 w w) (fma.f64 2/3 w (.f64 (pow.f64 w 3) 4/81))))
(+.f64 1 (fma.f64 (.f64 w w) 2/9 (fma.f64 w 2/3 (.f64 (pow.f64 w 3) 4/81))))
(+.f64 (fma.f64 w 2/3 1) (.f64 (.f64 w w) (+.f64 2/9 (*.f64 w 4/81))))
(+.f64 1 (.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (*.f64 w 4/81))))))
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 6)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) w) 6)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 l (*.f64 l w))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 l (*.f64 l w))

Outputs

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

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

124×	`fma-def_binary64`
69×	`fma-neg_binary64`
20×	`cancel-sign-sub-inv_binary64`
18×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	34	160
2	51	160
3	88	160
4	122	160
5	201	160
6	340	160
7	418	160
8	488	160
9	494	160

Stop Event

1×

saturated

Counts

62 → 45

Calls

Call 1

Inputs
(*.f64 (-.f64 1 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 (-.f64 1 w) l)
(.f64 l (+.f64 1 (.f64 -1 w)))
(.f64 l (+.f64 1 (.f64 -1 w)))
(.f64 l (+.f64 1 (.f64 -1 w)))
(.f64 l (+.f64 1 (.f64 -1 w)))
l
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(.f64 -1 (.f64 l w))
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(.f64 -1 (.f64 l w))
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)

Outputs
(*.f64 (-.f64 1 w) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(*.f64 (-.f64 1 w) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(.f64 l (+.f64 1 (.f64 -1 w)))
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(.f64 l (+.f64 1 (.f64 -1 w)))
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(.f64 l (+.f64 1 (.f64 -1 w)))
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(.f64 l (+.f64 1 (.f64 -1 w)))
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
l
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(.f64 -1 (.f64 l w))
(neg.f64 (*.f64 w l))
(*.f64 l (neg.f64 w))
(*.f64 w (neg.f64 l))
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(.f64 -1 (.f64 l w))
(neg.f64 (*.f64 w l))
(*.f64 l (neg.f64 w))
(*.f64 w (neg.f64 l))
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 l (-.f64 1 w))
(-.f64 l (*.f64 w l))
(fma.f64 l (neg.f64 w) l)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
	0.2b	(*.f64 w (log.f64 l))
	0.7b	(.f64 l (.f64 w (log.f64 l)))

Compiler

Compiled 27 to 7 computations (74.1% saved)

series36.0ms (0.2%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	l	@	inf	(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
1.0ms	w	@	-inf	(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
1.0ms	l	@	-inf	(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
1.0ms	w	@	inf	(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
1.0ms	w	@	0	(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
825×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	161	14
2	2234	14

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-def_binary64`
440×	`associate--r+_binary64`
439×	`distribute-rgt-neg-in_binary64`
413×	`associate-l_binary64`
358×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	291
1	169	270
2	648	211
3	4067	207

Stop Event

1×	node limit

Counts

57 → 55

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 l)) (*.f64 l w)) (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 l)) (*.f64 l w)) (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 l)) (*.f64 l w)) (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 l)) (*.f64 l w)) (exp.f64 w)))
(/.f64 (.f64 l (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) w)) (exp.f64 w))
(/.f64 (.f64 l (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) w)) (exp.f64 w))
(/.f64 (.f64 l (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) w)) (exp.f64 w))
(/.f64 (.f64 l (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 l)))) w)) (exp.f64 w))
(.f64 l (.f64 w (log.f64 l)))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 w 2) (log.f64 l)))) (.f64 l (*.f64 w (log.f64 l))))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 w 2) (log.f64 l)))) (+.f64 (.f64 -1 (.f64 (pow.f64 w 3) (+.f64 (.f64 1/2 (.f64 l (log.f64 l))) (.f64 -1 (.f64 l (log.f64 l)))))) (.f64 l (*.f64 w (log.f64 l)))))
(+.f64 (.f64 -1 (.f64 l (.f64 (pow.f64 w 2) (log.f64 l)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (.f64 l (log.f64 l))) (.f64 -1 (.f64 l (log.f64 l))))) (+.f64 (.f64 -1/2 (.f64 l (log.f64 l))) (.f64 1/6 (.f64 l (log.f64 l))))) (pow.f64 w 4))) (+.f64 (.f64 -1 (.f64 (pow.f64 w 3) (+.f64 (.f64 1/2 (.f64 l (log.f64 l))) (.f64 -1 (.f64 l (log.f64 l)))))) (.f64 l (.f64 w (log.f64 l))))))

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1))))
	0.3b	(.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1))
✓	2.2b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
	4.0b	(fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)

Compiler

Compiled 102 to 54 computations (47.1% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	-inf	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
1.0ms	w	@	0	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
1.0ms	l	@	inf	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
1.0ms	l	@	0	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
1.0ms	w	@	inf	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`log-prod_binary64`
674×	`fma-def_binary64`
308×	`fma-neg_binary64`
274×	`log1p-udef_binary64`
273×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	344	30
2	4897	30

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))

Outputs

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

674×	`associate-l_binary64`
513×	`fma-def_binary64`
444×	`distribute-rgt-neg-out_binary64`
422×	`distribute-lft-neg-out_binary64`
339×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1171
1	311	1056
2	1131	888
3	4938	682

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

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

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

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2))))))
✓	0.3b	(*.f64 l (E.f64))
✓	0.6b	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2)))))) l) (exp.f64 w))
✓	2.1b	(log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2))))

Compiler

Compiled 106 to 51 computations (51.9% saved)

series188.0ms (1.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
76.0ms	l	@	0	(log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2))))
40.0ms	l	@	-inf	(log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2))))
29.0ms	l	@	inf	(log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2))))
15.0ms	w	@	inf	(log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2))))
9.0ms	l	@	0	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2)))))) l) (exp.f64 w))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`log-prod_binary64`
386×	`fma-def_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
282×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	345	71
2	4774	68

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

Inputs
(log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2))))
(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2)))))) l) (exp.f64 w))
(*.f64 l (E.f64))
(.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2))))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 (.f64 w w) (+.f64 1/2 (log.f64 (sqrt.f64 l))) w) l) (exp.f64 w)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 (.f64 w w) (+.f64 1/2 (log.f64 (sqrt.f64 l))) w) l) (exp.f64 w)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 (.f64 w w) (+.f64 1/2 (log.f64 (sqrt.f64 l))) w) l) (exp.f64 w)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 (.f64 w w) (+.f64 1/2 (log.f64 (sqrt.f64 l))) w) l) (exp.f64 w))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 (.f64 w w) (+.f64 1/2 (log.f64 (sqrt.f64 l))) w) l) (exp.f64 w))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 l (log.f64 l)) (fma.f64 (.f64 w w) (+.f64 1/2 (log.f64 (sqrt.f64 l))) w) l) (exp.f64 w))))))))) (#(struct:change #<rule 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simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

706×	`distribute-rgt-in_binary64`
688×	`distribute-lft-in_binary64`
456×	`fma-neg_binary64`
423×	`associate-+l+_binary64`
403×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2257
1	528	2054
2	2004	1951
3	7727	1951

Stop Event

1×	node limit

Counts

252 → 210

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l))))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l))))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l))))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l))))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
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(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(/.f64 (.f64 l (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2))) w) (log.f64 l)) 1)) (exp.f64 w))
(/.f64 (.f64 l (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2))) w) (log.f64 l)) 1)) (exp.f64 w))
(/.f64 (.f64 l (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2))) w) (log.f64 l)) 1)) (exp.f64 w))
(/.f64 (.f64 l (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2))) w) (log.f64 l)) 1)) (exp.f64 w))
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(/.f64 (.f64 l (+.f64 1 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 l))))))))))) (exp.f64 w))
(/.f64 (.f64 l (+.f64 1 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 l))))))))))) (exp.f64 w))
(/.f64 (.f64 l (+.f64 1 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 l))))))))))) (exp.f64 w))
(.f64 -1 (/.f64 (.f64 l (-.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) w))) 1)) (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 l (-.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) w))) 1)) (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 l (-.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) w))) 1)) (exp.f64 w)))
(.f64 -1 (/.f64 (.f64 l (-.f64 (.f64 -1 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) w))) 1)) (exp.f64 w)))
l
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(+.f64 l (+.f64 (.f64 w (-.f64 (.f64 l (log.f64 l)) l)) (.f64 (-.f64 (+.f64 l (.f64 1/2 (.f64 l (.f64 (log.f64 (.f64 l (exp.f64 1))) (log.f64 l))))) (+.f64 (.f64 l (log.f64 l)) (*.f64 1/2 l))) (pow.f64 w 2))))
(+.f64 l (+.f64 (.f64 w (-.f64 (.f64 l (log.f64 l)) l)) (+.f64 (.f64 (-.f64 (+.f64 l (.f64 1/2 (.f64 l (.f64 (log.f64 (.f64 l (exp.f64 1))) (log.f64 l))))) (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l))) (pow.f64 w 2)) (.f64 (pow.f64 w 3) (-.f64 (+.f64 (.f64 l (log.f64 l)) (.f64 1/2 l)) (+.f64 l (+.f64 (.f64 1/2 (.f64 l (.f64 (log.f64 (.f64 (E.f64) l)) (log.f64 l)))) (+.f64 (.f64 1/6 l) (.f64 1/2 (-.f64 (*.f64 l (log.f64 l)) l))))))))))
(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (+.f64 (/.f64 l (exp.f64 w)) (.f64 1/2 (/.f64 (.f64 (log.f64 (.f64 l (exp.f64 1))) (.f64 l (*.f64 (pow.f64 w 2) (log.f64 l)))) (exp.f64 w)))))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (+.f64 (/.f64 l (exp.f64 w)) (.f64 1/2 (/.f64 (.f64 (log.f64 (.f64 l (exp.f64 1))) (.f64 l (*.f64 (pow.f64 w 2) (log.f64 l)))) (exp.f64 w)))))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (+.f64 (/.f64 l (exp.f64 w)) (.f64 1/2 (/.f64 (.f64 (log.f64 (.f64 l (exp.f64 1))) (.f64 l (*.f64 (pow.f64 w 2) (log.f64 l)))) (exp.f64 w)))))
(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (+.f64 (/.f64 l (exp.f64 w)) (.f64 1/2 (/.f64 (.f64 (log.f64 (.f64 l (exp.f64 1))) (.f64 l (*.f64 (pow.f64 w 2) (log.f64 l)))) (exp.f64 w)))))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (+.f64 (/.f64 l (exp.f64 w)) (.f64 1/2 (/.f64 (.f64 (log.f64 (.f64 l (exp.f64 1))) (.f64 l (*.f64 (pow.f64 w 2) (log.f64 l)))) (exp.f64 w)))))
(+.f64 (/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w)) (+.f64 (/.f64 l (exp.f64 w)) (.f64 1/2 (/.f64 (.f64 (log.f64 (.f64 l (exp.f64 1))) (.f64 l (*.f64 (pow.f64 w 2) (log.f64 l)))) (exp.f64 w)))))
(*.f64 (E.f64) l)
(*.f64 (E.f64) l)
(*.f64 (E.f64) l)
(*.f64 (E.f64) l)
(*.f64 (E.f64) l)
(*.f64 (E.f64) l)
(*.f64 (E.f64) l)
(*.f64 (E.f64) l)
(*.f64 l (exp.f64 1))
(*.f64 l (exp.f64 1))
(*.f64 l (exp.f64 1))
(*.f64 l (exp.f64 1))
(.f64 (log.f64 l) (+.f64 w (.f64 1/2 (*.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))))
(.f64 (log.f64 l) (+.f64 w (.f64 1/2 (*.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))))
(.f64 (log.f64 l) (+.f64 w (.f64 1/2 (*.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))))
(.f64 (log.f64 l) (+.f64 w (.f64 1/2 (*.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l)))))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l)))))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l)))))))))
(.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l)))))))))
(.f64 (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))))
(.f64 (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))))
(.f64 (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))))
(.f64 (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))))
(*.f64 w (log.f64 l))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 w 4) (.f64 (+.f64 (.f64 3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2)) (.f64 -3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2))) (log.f64 l)))) (.f64 w (log.f64 l))))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 w 4) (.f64 (+.f64 (.f64 3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2)) (.f64 -3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2))) (log.f64 l)))) (+.f64 (.f64 w (log.f64 l)) (.f64 1/720 (.f64 (pow.f64 w 6) (.f64 (log.f64 l) (+.f64 (.f64 30 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)) (+.f64 (.f64 15 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)) (.f64 -45 (pow.f64 (log.f64 (*.f64 (E.f64) l)) 3))))))))))
(*.f64 w (log.f64 l))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(*.f64 w (log.f64 l))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))

Outputs
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l))))))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l))))))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l))))))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 l))))))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))
(.f64 1/2 (.f64 (*.f64 w w) (+.f64 (log.f64 (neg.f64 (E.f64))) (neg.f64 (log.f64 (/.f64 -1 l))))))
(.f64 (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l))) (.f64 1/2 (*.f64 w w)))
(.f64 (.f64 w w) (*.f64 1/2 (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l)))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))
(.f64 1/2 (.f64 (*.f64 w w) (+.f64 (log.f64 (neg.f64 (E.f64))) (neg.f64 (log.f64 (/.f64 -1 l))))))
(.f64 (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l))) (.f64 1/2 (*.f64 w w)))
(.f64 (.f64 w w) (*.f64 1/2 (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l)))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))
(.f64 1/2 (.f64 (*.f64 w w) (+.f64 (log.f64 (neg.f64 (E.f64))) (neg.f64 (log.f64 (/.f64 -1 l))))))
(.f64 (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l))) (.f64 1/2 (*.f64 w w)))
(.f64 (.f64 w w) (*.f64 1/2 (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l)))))
(.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))
(.f64 1/2 (.f64 (*.f64 w w) (+.f64 (log.f64 (neg.f64 (E.f64))) (neg.f64 (log.f64 (/.f64 -1 l))))))
(.f64 (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l))) (.f64 1/2 (*.f64 w w)))
(.f64 (.f64 w w) (*.f64 1/2 (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l)))))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 w 4) (+.f64 (.f64 3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2)) (.f64 -3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2))))) (.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2))))
(fma.f64 1/24 (.f64 (pow.f64 w 4) (.f64 (pow.f64 (log.f64 (.f64 l (E.f64))) 2) 0)) (.f64 1/2 (.f64 (.f64 w w) (log.f64 (*.f64 l (E.f64))))))
(fma.f64 1/2 (.f64 (.f64 w w) (+.f64 1 (log.f64 l))) (*.f64 (pow.f64 w 4) 0))
(fma.f64 (+.f64 1/2 (.f64 1/2 (log.f64 l))) (.f64 w w) 0)
(+.f64 (.f64 1/24 (.f64 (pow.f64 w 4) (+.f64 (.f64 3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2)) (.f64 -3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 w 6) (+.f64 (.f64 30 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)) (+.f64 (.f64 15 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)) (.f64 -45 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)))))) (.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))))
(fma.f64 1/24 (.f64 (pow.f64 w 4) (.f64 (pow.f64 (log.f64 (.f64 l (E.f64))) 2) 0)) (fma.f64 1/720 (.f64 (pow.f64 w 6) (fma.f64 30 (pow.f64 (log.f64 (.f64 l (E.f64))) 3) (.f64 (pow.f64 (log.f64 (.f64 l (E.f64))) 3) -30))) (.f64 1/2 (.f64 (.f64 w w) (log.f64 (*.f64 l (E.f64)))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 w w) (+.f64 1 (log.f64 l))) (.f64 (pow.f64 w 4) 0)) (.f64 (pow.f64 w 6) (.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 l)) 3) 0) 1/720)))
(+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (log.f64 l))) (.f64 w w) 0) (*.f64 (pow.f64 w 6) 0))
(+.f64 (.f64 1/40320 (.f64 (pow.f64 w 8) (+.f64 (.f64 1260 (pow.f64 (log.f64 (.f64 (E.f64) l)) 4)) (+.f64 (.f64 -420 (pow.f64 (log.f64 (.f64 (E.f64) l)) 4)) (+.f64 (.f64 -630 (pow.f64 (log.f64 (.f64 (E.f64) l)) 4)) (+.f64 (.f64 105 (pow.f64 (log.f64 (.f64 (E.f64) l)) 4)) (.f64 -315 (pow.f64 (log.f64 (.f64 (E.f64) l)) 4)))))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 w 4) (+.f64 (.f64 3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2)) (.f64 -3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 w 6) (+.f64 (.f64 30 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)) (+.f64 (.f64 15 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)) (.f64 -45 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)))))) (.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2))))))
(fma.f64 1/40320 (.f64 (pow.f64 w 8) (fma.f64 1260 (pow.f64 (log.f64 (.f64 l (E.f64))) 4) (fma.f64 -420 (pow.f64 (log.f64 (.f64 l (E.f64))) 4) (fma.f64 -630 (pow.f64 (log.f64 (.f64 l (E.f64))) 4) (.f64 (pow.f64 (log.f64 (.f64 l (E.f64))) 4) -210))))) (fma.f64 1/24 (.f64 (pow.f64 w 4) (.f64 (pow.f64 (log.f64 (.f64 l (E.f64))) 2) 0)) (fma.f64 1/720 (.f64 (pow.f64 w 6) (fma.f64 30 (pow.f64 (log.f64 (.f64 l (E.f64))) 3) (.f64 (pow.f64 (log.f64 (.f64 l (E.f64))) 3) -30))) (.f64 1/2 (.f64 (.f64 w w) (log.f64 (*.f64 l (E.f64))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 w w) (+.f64 1 (log.f64 l))) (.f64 (pow.f64 w 6) (.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 l)) 3) 0) 1/720))) (fma.f64 (.f64 1/40320 (pow.f64 w 8)) (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 l)) 4) -840) (.f64 (pow.f64 (+.f64 1 (log.f64 l)) 4) 840)) (*.f64 (pow.f64 w 4) 0)))
(fma.f64 (.f64 1/40320 (pow.f64 w 8)) (.f64 (pow.f64 (+.f64 1 (log.f64 l)) 4) 0) (+.f64 (fma.f64 (+.f64 1/2 (.f64 1/2 (log.f64 l))) (.f64 w w) 0) (*.f64 (pow.f64 w 6) 0)))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(.f64 1/2 (.f64 (log.f64 (*.f64 (E.f64) l)) (pow.f64 w 2)))
(.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)))
(.f64 (+.f64 1 (log.f64 l)) (.f64 1/2 (*.f64 w w)))
(.f64 w (.f64 w (+.f64 1/2 (*.f64 1/2 (log.f64 l)))))
(/.f64 (.f64 l (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2))) w) (log.f64 l)) 1)) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (.f64 w w)) w) (log.f64 l) 1)))
(.f64 (/.f64 l (exp.f64 w)) (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1))
(.f64 (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2))) w) (log.f64 l)) 1)) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (.f64 w w)) w) (log.f64 l) 1)))
(.f64 (/.f64 l (exp.f64 w)) (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1))
(.f64 (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2))) w) (log.f64 l)) 1)) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (.f64 w w)) w) (log.f64 l) 1)))
(.f64 (/.f64 l (exp.f64 w)) (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1))
(.f64 (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (pow.f64 w 2))) w) (log.f64 l)) 1)) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (.f64 w w)) w) (log.f64 l) 1)))
(.f64 (/.f64 l (exp.f64 w)) (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1))
(.f64 (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 l))))))))))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (.f64 w w)) w) (log.f64 l) 1)))
(.f64 (/.f64 l (exp.f64 w)) (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1))
(.f64 (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 l))))))))))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (.f64 w w)) w) (log.f64 l) 1)))
(.f64 (/.f64 l (exp.f64 w)) (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1))
(.f64 (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1) (/.f64 l (exp.f64 w)))
(/.f64 (.f64 l (+.f64 1 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 l))))))))))) (exp.f64 w))
(/.f64 l (/.f64 (exp.f64 w) (fma.f64 (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (.f64 w w)) w) (log.f64 l) 1)))
(.f64 (/.f64 l (exp.f64 w)) (fma.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w) 1))
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(.f64 (log.f64 l) (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)) w))
(.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w))
(.f64 (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))))
(.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 l))) (log.f64 -1)) (fma.f64 1/2 (.f64 (*.f64 w w) (+.f64 (log.f64 (neg.f64 (E.f64))) (neg.f64 (log.f64 (/.f64 -1 l))))) w))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (fma.f64 1/2 (.f64 w (*.f64 w (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l))))) w))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (fma.f64 1/2 (.f64 w (+.f64 (*.f64 w (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l)))) w)) w))
(.f64 (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))))
(.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 l))) (log.f64 -1)) (fma.f64 1/2 (.f64 (*.f64 w w) (+.f64 (log.f64 (neg.f64 (E.f64))) (neg.f64 (log.f64 (/.f64 -1 l))))) w))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (fma.f64 1/2 (.f64 w (*.f64 w (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l))))) w))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (fma.f64 1/2 (.f64 w (+.f64 (*.f64 w (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l)))) w)) w))
(.f64 (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))))
(.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 l))) (log.f64 -1)) (fma.f64 1/2 (.f64 (*.f64 w w) (+.f64 (log.f64 (neg.f64 (E.f64))) (neg.f64 (log.f64 (/.f64 -1 l))))) w))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (fma.f64 1/2 (.f64 w (*.f64 w (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l))))) w))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (fma.f64 1/2 (.f64 w (+.f64 (*.f64 w (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l)))) w)) w))
(.f64 (+.f64 w (.f64 1/2 (.f64 (pow.f64 w 2) (+.f64 (log.f64 (.f64 -1 (E.f64))) (.f64 -1 (log.f64 (/.f64 -1 l))))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))))
(.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 l))) (log.f64 -1)) (fma.f64 1/2 (.f64 (*.f64 w w) (+.f64 (log.f64 (neg.f64 (E.f64))) (neg.f64 (log.f64 (/.f64 -1 l))))) w))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (fma.f64 1/2 (.f64 w (*.f64 w (-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 l))))) w))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l))) (fma.f64 1/2 (.f64 w (+.f64 (*.f64 w (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 l)))) w)) w))
(*.f64 w (log.f64 l))
(*.f64 (log.f64 l) w)
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(.f64 (log.f64 l) (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)) w))
(.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 w 4) (.f64 (+.f64 (.f64 3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2)) (.f64 -3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2))) (log.f64 l)))) (.f64 w (log.f64 l))))
(.f64 (log.f64 l) (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)) w))
(.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 w 4) (.f64 (+.f64 (.f64 3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2)) (.f64 -3 (pow.f64 (log.f64 (.f64 (E.f64) l)) 2))) (log.f64 l)))) (+.f64 (.f64 w (log.f64 l)) (.f64 1/720 (.f64 (pow.f64 w 6) (.f64 (log.f64 l) (+.f64 (.f64 30 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)) (+.f64 (.f64 15 (pow.f64 (log.f64 (.f64 (E.f64) l)) 3)) (.f64 -45 (pow.f64 (log.f64 (*.f64 (E.f64) l)) 3))))))))))
(fma.f64 1/2 (.f64 (log.f64 (.f64 l (E.f64))) (.f64 (log.f64 l) (.f64 w w))) (fma.f64 1/24 (.f64 (pow.f64 w 4) (.f64 (log.f64 l) (.f64 (pow.f64 (log.f64 (.f64 l (E.f64))) 2) 0))) (fma.f64 w (log.f64 l) (.f64 1/720 (.f64 (pow.f64 w 6) (.f64 (log.f64 l) (fma.f64 30 (pow.f64 (log.f64 (.f64 l (E.f64))) 3) (.f64 (pow.f64 (log.f64 (.f64 l (E.f64))) 3) -30))))))))
(+.f64 (+.f64 (.f64 (log.f64 l) (fma.f64 (.f64 1/2 (.f64 w w)) (+.f64 1 (log.f64 l)) w)) (.f64 (log.f64 l) (.f64 (pow.f64 w 4) 0))) (.f64 (.f64 (pow.f64 w 6) (.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 l)) 3) 0) 1/720)) (log.f64 l)))
(+.f64 (.f64 (pow.f64 w 6) 0) (.f64 (log.f64 l) (fma.f64 (.f64 1/2 (.f64 w w)) (+.f64 1 (log.f64 l)) w)))
(*.f64 w (log.f64 l))
(*.f64 (log.f64 l) w)
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(.f64 (log.f64 l) (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)) w))
(.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(.f64 (log.f64 l) (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)) w))
(.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(.f64 (log.f64 l) (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)) w))
(.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w))
(*.f64 w (log.f64 l))
(*.f64 (log.f64 l) w)
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(.f64 (log.f64 l) (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)) w))
(.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(.f64 (log.f64 l) (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)) w))
(.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w))
(+.f64 (.f64 1/2 (.f64 (log.f64 (.f64 (E.f64) l)) (.f64 (pow.f64 w 2) (log.f64 l)))) (*.f64 w (log.f64 l)))
(.f64 (log.f64 l) (fma.f64 1/2 (.f64 (+.f64 1 (log.f64 l)) (*.f64 w w)) w))
(.f64 (log.f64 l) (fma.f64 (.f64 1/2 (*.f64 w w)) (+.f64 1 (log.f64 l)) w))

eval311.0ms (2%)

Compiler: Compiled 18083 to 7688 computations (57.5% saved)

prune126.0ms (0.8%)

Pruning

30 alts after pruning (20 fresh and 10 done)

	Pruned	Kept	Total
New	751	9	760
Fresh	3	11	14
Picked	0	1	1
Done	1	9	10
Total	755	30	785

Error

0.0b

Counts

785 → 30

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.5b	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))
	61.2b	(.f64 l (.f64 w (log.f64 l)))
▶	4.6b	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
	14.0b	(*.f64 (-.f64 1 w) l)
	14.2b	(+.f64 l (.f64 w (-.f64 (.f64 w (*.f64 l 1/2)) l)))
▶	37.2b	(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))
	8.3b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)))
	8.3b	(/.f64 (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)) (exp.f64 w))
✓	0.1b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
	0.5b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
	4.6b	(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
✓	7.5b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
✓	0.1b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
▶	0.6b	(.f64 (/.f64 1 (+.f64 1 (.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (.f64 w 4/81))))))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
✓	49.2b	(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
▶	61.3b	(*.f64 w (neg.f64 l))
	13.8b	l
	14.0b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2)))))) l))
	14.2b	(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
✓	1.5b	(/.f64 l (exp.f64 w))
	14.3b	(+.f64 l (.f64 w (-.f64 (.f64 w (+.f64 (.f64 l 1/2) (.f64 w (*.f64 l -1/6)))) l)))
✓	1.7b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
✓	14.0b	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2)))))) l) (exp.f64 w))
	4.6b	(exp.f64 (fma.f64 (exp.f64 w) (log.f64 l) (neg.f64 w)))
✓	34.1b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3))
	34.1b	(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3)) (cbrt.f64 (exp.f64 w))))
▶	0.2b	(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
✓	0.1b	(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
	61.3b	(.f64 (.f64 w (log.f64 l)) (-.f64 l (*.f64 l w)))
	1.0b	(.f64 (/.f64 1 (+.f64 1 (.f64 2/3 w))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

Compiler

Compiled 835 to 535 computations (35.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
✓	0.0b	(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
	0.1b	(pow.f64 l (exp.f64 w))
✓	0.4b	(*.f64 1/9 w)

Compiler

Compiled 62 to 34 computations (45.2% saved)

series15.0ms (0.1%)

Counts

3 → 28

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
3.0ms	w	@	inf	(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
2.0ms	w	@	-inf	(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
1.0ms	w	@	0	(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
1.0ms	l	@	inf	(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary64`
370×	`pow2_binary64`
339×	`pow-unpow_binary64`
254×	`pow1/3_binary64`
253×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	314	30
2	3883	28

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs
(*.f64 1/9 w)
(pow.f64 (exp.f64 (*.f64 1/9 w)) 6)
(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/9 w) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/9 w))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 1/9 w)) (*.f64 1/2 (*.f64 1/9 w)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 1/9 w)) (*.f64 2 (*.f64 1/3 (*.f64 1/9 w))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (*.f64 1/9 w))) (*.f64 1/3 (*.f64 1/9 w)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/9 w))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 w) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 w w) 1/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 w) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/9 w)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 w) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 w w) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) w))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 w))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 w) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 w)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 w)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 w)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/9 w)) 1))))))

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simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

542×	`cancel-sign-sub-inv_binary64`
400×	`fma-def_binary64`
359×	`fma-neg_binary64`
285×	`associate-+l+_binary64`
239×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	905
1	298	859
2	920	833
3	4704	772

Stop Event

1×	node limit

Counts

134 → 125

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 2/3 w))
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 2/3 w)))
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3)))))
l
(+.f64 (.f64 w (-.f64 (+.f64 (.f64 l (log.f64 l)) (.f64 -1/3 l)) (.f64 2/3 l))) l)
(+.f64 (.f64 w (-.f64 (+.f64 (.f64 l (log.f64 l)) (.f64 -1/3 l)) (.f64 2/3 l))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/18 l) (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 -1/3 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l))))) (+.f64 (.f64 2/9 l) (.f64 2/3 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l))))) (pow.f64 w 2)) l))
(+.f64 (.f64 w (-.f64 (+.f64 (.f64 l (log.f64 l)) (.f64 -1/3 l)) (.f64 2/3 l))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/18 l) (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 -1/3 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l))))) (+.f64 (.f64 2/9 l) (.f64 2/3 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l))))) (pow.f64 w 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/18 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l))) (+.f64 (.f64 -1/162 l) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 l) 3)) (+.f64 (.f64 1/6 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) l) (.f64 -1/3 (-.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 2/9 l) (.f64 2/3 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l))))))))) (+.f64 (.f64 2/3 (-.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (+.f64 (.f64 2/9 l) (.f64 2/3 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l)))))) (+.f64 (.f64 2/9 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l))) (*.f64 4/81 l)))) (pow.f64 w 3)) l)))
(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (pow.f64 (exp.f64 (*.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (pow.f64 (exp.f64 (*.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (pow.f64 (exp.f64 (*.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (pow.f64 (exp.f64 (*.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))

Outputs
1
(+.f64 1 (*.f64 2/3 w))
(fma.f64 2/3 w 1)
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 2/3 w)))
(+.f64 1 (fma.f64 2/9 (.f64 w w) (.f64 2/3 w)))
(+.f64 1 (fma.f64 2/3 w (.f64 w (.f64 w 2/9))))
(fma.f64 2/3 w (fma.f64 w (*.f64 w 2/9) 1))
(+.f64 1 (+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3)))))
(+.f64 1 (fma.f64 2/9 (.f64 w w) (fma.f64 2/3 w (.f64 4/81 (pow.f64 w 3)))))
(+.f64 1 (fma.f64 4/81 (pow.f64 w 3) (.f64 w (+.f64 2/3 (.f64 w 2/9)))))
(+.f64 1 (.f64 w (+.f64 (.f64 w (+.f64 2/9 (*.f64 w 4/81))) 2/3)))
l
(+.f64 (.f64 w (-.f64 (+.f64 (.f64 l (log.f64 l)) (.f64 -1/3 l)) (.f64 2/3 l))) l)
(fma.f64 w (+.f64 (fma.f64 l (log.f64 l) (.f64 l -1/3)) (.f64 -2/3 l)) l)
(fma.f64 w (fma.f64 l (log.f64 l) (*.f64 l -1)) l)
(fma.f64 w (*.f64 l (+.f64 (log.f64 l) -1)) l)
(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
(+.f64 (.f64 w (-.f64 (+.f64 (.f64 l (log.f64 l)) (.f64 -1/3 l)) (.f64 2/3 l))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/18 l) (+.f64 (.f64 l (+.f64 (.f64 1/2 (log.f64 l)) (.f64 1/2 (pow.f64 (log.f64 l) 2)))) (.f64 -1/3 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l))))) (+.f64 (.f64 2/9 l) (.f64 2/3 (-.f64 (.f64 l (log.f64 l)) (.f64 2/3 l))))) (pow.f64 w 2)) l))
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(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
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(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (pow.f64 (/.f64 1 (exp.f64 w)) 1/3))
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(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
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(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (log.f64 l) (exp.f64 w))) (pow.f64 (exp.f64 (*.f64 1/9 w)) 6)))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 l)) (exp.f64 w)))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))
(.f64 (pow.f64 (/.f64 1 (exp.f64 w)) 1/3) (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 l)))) (exp.f64 w))) (pow.f64 (exp.f64 (.f64 1/9 w)) 6)))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (pow.f64 (pow.f64 (exp.f64 1/9) w) 6)) (pow.f64 l (exp.f64 w)))

localize4.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 l (*.f64 l (neg.f64 w)))
✓	0.3b	(.f64 (.f64 l (neg.f64 w)) (*.f64 l (neg.f64 w)))
✓	2.4b	(-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w))))
✓	28.1b	(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))

Compiler

Compiled 61 to 9 computations (85.2% saved)

series45.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	l	@	inf	(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))
2.0ms	l	@	-inf	(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))
1.0ms	l	@	0	(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))
1.0ms	w	@	0	(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))
1.0ms	w	@	inf	(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`fma-def_binary64`
591×	`log-prod_binary64`
252×	`pow2_binary64`
252×	`fma-neg_binary64`
210×	`egg-rr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	76
1	248	31
2	4383	25

Stop Event

1×	node limit

Counts

4 → 589

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))
(-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w))))
(.f64 (.f64 l (neg.f64 w)) (*.f64 l (neg.f64 w)))
(-.f64 l (*.f64 l (neg.f64 w)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 l (.f64 l w))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l w) l)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l w l) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l w l) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l (/.f64 (fma.f64 l w l) l)) (neg.f64 (/.f64 (pow.f64 (.f64 l w) 2) (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 l w l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 l w l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 l w l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 l w l)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 l w l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 l (.f64 l w))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 l (/.f64 (fma.f64 l w l) l)) (/.f64 (pow.f64 (.f64 l w) 2) (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 l w l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 l 3) (fma.f64 l l (.f64 (.f64 l w) (fma.f64 l w l)))) (/.f64 (pow.f64 (.f64 l w) 3) (fma.f64 l l (.f64 (.f64 l w) (fma.f64 l w l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 l (+.f64 1 w))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 l (-.f64 1 w))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 l w l) 2) (/.f64 1 (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 l w l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 l w l) (.f64 (fma.f64 l w l) (/.f64 1 (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 l w l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) 2) (.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) (/.f64 1 (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 l w l)) (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) (cbrt.f64 (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 l w l)) (sqrt.f64 (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (fma.f64 l w l) 2)) (/.f64 1 (neg.f64 (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 l 3) (pow.f64 (.f64 l w) 3)) (/.f64 1 (fma.f64 l l (.f64 (.f64 l w) (fma.f64 l w l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 l w l)) (pow.f64 (fma.f64 l w l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2))) (/.f64 (pow.f64 (fma.f64 l w l) 2) (cbrt.f64 (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 l w l))) (/.f64 (pow.f64 (fma.f64 l w l) 2) (sqrt.f64 (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 l w l) (cbrt.f64 (pow.f64 (fma.f64 l w l) 2))) (/.f64 (fma.f64 l w l) (cbrt.f64 (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) 2) (sqrt.f64 (fma.f64 l w l))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) (sqrt.f64 (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 l w l) 1) (/.f64 (fma.f64 l w l) (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 l) (sqrt.f64 (.f64 l w))) (-.f64 (sqrt.f64 l) (sqrt.f64 (.f64 l w))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 w 1) l)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 l w l) 2) (pow.f64 (fma.f64 l w l) 2)) (fma.f64 l w l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 l w l) 2) (+.f64 (pow.f64 l 3) (pow.f64 (.f64 l w) 3))) (fma.f64 l l (.f64 (.f64 l w) (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 l w l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 l w l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 l w l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 l w l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 l w l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 l w l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 l w l) 2) 3) (pow.f64 (fma.f64 l w l) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 l l (.f64 (.f64 l w) (fma.f64 l w l))) (+.f64 (pow.f64 l 3) (pow.f64 (.f64 l w) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (fma.f64 l w l)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (fma.f64 l w l) 2) (neg.f64 (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 l w l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 l w l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 l)) (pow.f64 (exp.f64 w) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 l) (+.f64 1 (expm1.f64 (.f64 l w)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 l)) (+.f64 1 (expm1.f64 (.f64 l w)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 l)) (pow.f64 (exp.f64 w) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 l) (+.f64 1 (expm1.f64 (.f64 l w)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 l)) (+.f64 1 (expm1.f64 (.f64 l w)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 w) l) (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 l w))) (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 w) l) (+.f64 1 (expm1.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 l w))) (+.f64 1 (expm1.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 l w l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 l w l) 2) 3) (pow.f64 (fma.f64 l w l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 l (.f64 l w))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (.f64 l w) l)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (fma.f64 l w l) (hypot.f64 (.f64 l w) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (.f64 l w) (.f64 l w)) (fma.f64 l w l))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 l w l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 l w l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l w l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l 1 (.f64 l w))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (+.f64 1 w) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 l (+.f64 1 w) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l 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(pow.f64 (.f64 l w) 2) (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 l (sqrt.f64 (fma.f64 l w l))) (/.f64 l (sqrt.f64 (fma.f64 l w l))) (neg.f64 (/.f64 (pow.f64 (.f64 l w) 2) (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 l w l))) (/.f64 (.f64 l l) (sqrt.f64 (fma.f64 l w l))) (neg.f64 (/.f64 (pow.f64 (.f64 l w) 2) (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 l w l))) (/.f64 (pow.f64 (fma.f64 l w l) 2) (sqrt.f64 (fma.f64 l w l))) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 l w l))) (/.f64 (pow.f64 (fma.f64 l w l) 2) (sqrt.f64 (fma.f64 l w l))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 l 4)) (sqrt.f64 (fma.f64 l w l))) (/.f64 (pow.f64 (cbrt.f64 l) 2) (sqrt.f64 (fma.f64 l w l))) (neg.f64 (/.f64 (pow.f64 (.f64 l w) 2) (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 l w l) (cbrt.f64 (pow.f64 (fma.f64 l w l) 2))) (/.f64 (fma.f64 l w l) (cbrt.f64 (fma.f64 l w l))) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 l w l) (cbrt.f64 (pow.f64 (fma.f64 l w l) 2))) (/.f64 (fma.f64 l w l) (cbrt.f64 (fma.f64 l w l))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) (fma.f64 l w l)) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) (fma.f64 l w l)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) 2) (sqrt.f64 (fma.f64 l w l))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) (sqrt.f64 (fma.f64 l w l))) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) 2) (sqrt.f64 (fma.f64 l w l))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 l w l) 2)) (sqrt.f64 (fma.f64 l w l))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 l w l) 1) (/.f64 (fma.f64 l w l) (fma.f64 l w l)) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 l w l) 1) (/.f64 (fma.f64 l w l) (fma.f64 l w l)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 l) (sqrt.f64 (.f64 l w))) (-.f64 (sqrt.f64 l) (sqrt.f64 (.f64 l w))) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 l) (sqrt.f64 (.f64 l w))) (-.f64 (sqrt.f64 l) (sqrt.f64 (.f64 l w))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 l w)) 2)) (cbrt.f64 (.f64 l w)) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 w 1) l (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 w 1) l (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 l l) (pow.f64 (fma.f64 l w l) 2)) (fma.f64 l w l) (neg.f64 (/.f64 (pow.f64 (.f64 l w) 2) (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 l l) (+.f64 (pow.f64 l 3) (pow.f64 (.f64 l w) 3))) (fma.f64 l l (.f64 (.f64 l w) (fma.f64 l w l))) (neg.f64 (/.f64 (pow.f64 (.f64 l w) 2) (fma.f64 l w l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (fma.f64 l w l) 2) (pow.f64 (fma.f64 l w l) 2)) (fma.f64 l w l) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (fma.f64 l w l) 2) (pow.f64 (fma.f64 l w l) 2)) (fma.f64 l w l) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (fma.f64 l w l) 2) (+.f64 (pow.f64 l 3) (pow.f64 (.f64 l w) 3))) (fma.f64 l l (.f64 (.f64 l w) (fma.f64 l w l))) (fma.f64 w l (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (fma.f64 l w l) 2) (+.f64 (pow.f64 l 3) (pow.f64 (.f64 l w) 3))) (fma.f64 l l (.f64 (.f64 l w) (fma.f64 l w l))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 l w))) (pow.f64 (cbrt.f64 (.f64 l w)) 2) (.f64 l w)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 l) 1) w l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 l) (cbrt.f64 (.f64 w w))) (cbrt.f64 w) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 l) (sqrt.f64 w)) (sqrt.f64 w) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 l) -1) w l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 l (cbrt.f64 (.f64 w w))) (cbrt.f64 w) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 l (sqrt.f64 w)) (sqrt.f64 w) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 l -1) w l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 w (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 w (sqrt.f64 l)) (sqrt.f64 l) l)))))

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

550×	`associate-/l*_binary64`
490×	`fma-def_binary64`
403×	`associate-r_binary64`
363×	`associate-/r*_binary64`
316×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	1040
1	67	923
2	158	923
3	510	923
4	2305	923
5	7852	923

Stop Event

1×	node limit

Counts

685 → 445

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 (pow.f64 w 2)) l) (-.f64 1 (.f64 -1 w)))
(/.f64 (.f64 (-.f64 1 (pow.f64 w 2)) l) (-.f64 1 (.f64 -1 w)))
(/.f64 (.f64 (-.f64 1 (pow.f64 w 2)) l) (-.f64 1 (.f64 -1 w)))
(/.f64 (.f64 (-.f64 1 (pow.f64 w 2)) l) (-.f64 1 (.f64 -1 w)))
(/.f64 (.f64 (-.f64 1 (pow.f64 w 2)) l) (-.f64 1 (.f64 -1 w)))
(/.f64 (.f64 (-.f64 1 (pow.f64 w 2)) l) (-.f64 1 (.f64 -1 w)))
(/.f64 (.f64 (-.f64 1 (pow.f64 w 2)) l) (-.f64 1 (.f64 -1 w)))
(/.f64 (.f64 (-.f64 1 (pow.f64 w 2)) l) (-.f64 1 (.f64 -1 w)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 w 2)) l) (+.f64 1 w))
(/.f64 (*.f64 (-.f64 1 (pow.f64 w 2)) l) (+.f64 1 w))
(/.f64 (*.f64 (-.f64 1 (pow.f64 w 2)) l) (+.f64 1 w))
(/.f64 (*.f64 (-.f64 1 (pow.f64 w 2)) l) (+.f64 1 w))
l
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(.f64 -1 (.f64 l w))
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(.f64 -1 (.f64 l w))
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(+.f64 (.f64 -1 (.f64 l w)) l)
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(*.f64 (-.f64 1 (pow.f64 w 2)) (pow.f64 l 2))
(pow.f64 l 2)
(+.f64 (.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2))) (pow.f64 l 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2))) (pow.f64 l 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2))) (pow.f64 l 2))
(.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2))) (pow.f64 l 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2))) (pow.f64 l 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2))) (pow.f64 l 2))
(.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2))) (pow.f64 l 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2))) (pow.f64 l 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 l 2) (pow.f64 w 2))) (pow.f64 l 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(*.f64 (pow.f64 l 2) (pow.f64 w 2))
(.f64 (-.f64 1 (.f64 -1 w)) l)
(.f64 (-.f64 1 (.f64 -1 w)) l)
(.f64 (-.f64 1 (.f64 -1 w)) l)
(.f64 (-.f64 1 (.f64 -1 w)) l)
(.f64 (-.f64 1 (.f64 -1 w)) l)
(.f64 (-.f64 1 (.f64 -1 w)) l)
(.f64 (-.f64 1 (.f64 -1 w)) l)
(.f64 (-.f64 1 (.f64 -1 w)) l)
(*.f64 (+.f64 1 w) l)
(*.f64 (+.f64 1 w) l)
(*.f64 (+.f64 1 w) l)
(*.f64 (+.f64 1 w) l)
l
(+.f64 l (*.f64 l w))
(+.f64 l (*.f64 l w))
(+.f64 l (*.f64 l w))
(*.f64 l w)
(+.f64 l (*.f64 l w))
(+.f64 l (*.f64 l w))
(+.f64 l (*.f64 l w))
(*.f64 l w)
(+.f64 l (*.f64 l w))
(+.f64 l (*.f64 l w))
(+.f64 l (*.f64 l w))

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w)
✓	0.0b	(*.f64 (exp.f64 w) (log.f64 l))
✓	4.5b	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))

Compiler

Compiled 28 to 7 computations (75% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	l	@	inf	(-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w)
1.0ms	w	@	0	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
1.0ms	l	@	inf	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
1.0ms	l	@	-inf	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
1.0ms	l	@	0	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
778×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	161	30
2	2125	30

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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

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

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

821×	`associate-+l+_binary64`
660×	`distribute-rgt-in_binary64`
639×	`distribute-lft-in_binary64`
589×	`associate-+r+_binary64`
409×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	903
1	214	854
2	608	829
3	2700	819

Stop Event

1×	node limit

Counts

149 → 110

Calls

Call 1

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

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(pow.f64 l (exp.f64 w))
✓	0.3b	(*.f64 w 4/81)
✓	0.3b	(.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (*.f64 w 4/81)))))
✓	0.4b	(.f64 w (+.f64 2/9 (.f64 w 4/81)))

Compiler

Compiled 112 to 71 computations (36.6% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	w	@	0	(.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (*.f64 w 4/81)))))
1.0ms	w	@	0	(.f64 w (+.f64 2/9 (.f64 w 4/81)))
1.0ms	w	@	-inf	(.f64 w (+.f64 2/9 (.f64 w 4/81)))
1.0ms	w	@	inf	(.f64 w (+.f64 2/9 (.f64 w 4/81)))
1.0ms	w	@	inf	(.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (*.f64 w 4/81)))))

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`prod-diff_binary64`
532×	`log-prod_binary64`
361×	`pow-prod-down_binary64`
330×	`fma-def_binary64`
290×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	233	24
2	3224	24

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (*.f64 w 4/81)))))
(*.f64 w 4/81)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 w 2/9) (*.f64 4/81 (*.f64 w w)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4/81 (*.f64 w w)) (*.f64 w 2/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 w (fma.f64 w 4/81 2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 w 2/9) 1) (*.f64 (*.f64 4/81 (*.f64 w w)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 w) (fma.f64 w 4/81 2/9))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 w) (fma.f64 w 4/81 2/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 w) (fma.f64 w 4/81 2/9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 w) (fma.f64 w 4/81 2/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 w (fma.f64 w 4/81 2/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 w 2/9) 3) (pow.f64 (*.f64 4/81 (*.f64 w w)) 3)) (fma.f64 w (*.f64 w 4/81) (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 w 4/81))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/81) w)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/81) w))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/81) w))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/81) w))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 w 4/81))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 w 4/81) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 w w) 16/6561) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 w 4/81)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/9 (sqrt.f64 w)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 w 3) 64/531441) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 w w) 16/6561))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/81) w))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 w 4/81))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 w 3) 64/531441))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 w 4/81)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 w 4/81)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 w 4/81)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 w 4/81)) 1))))))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

918×	`fma-def_binary64`
865×	`associate-+l+_binary64`
541×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
482×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	330
1	53	330
2	92	312
3	202	270
4	567	258
5	2124	258
6	4121	258
7	4663	258
8	6611	258

Stop Event

1×	node limit

Counts

157 → 138

Calls

Call 1

Inputs
(*.f64 2/9 w)
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(*.f64 4/81 (pow.f64 w 2))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(*.f64 4/81 (pow.f64 w 2))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(*.f64 2/3 w)
(+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 2/3 w))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 4/81 (pow.f64 w 3)) (*.f64 2/3 w)))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 4/81 (pow.f64 w 3)) (*.f64 2/3 w)))
(*.f64 4/81 (pow.f64 w 3))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 4/81 (pow.f64 w 3)))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3))))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3))))
(*.f64 4/81 (pow.f64 w 3))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 4/81 (pow.f64 w 3)))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3))))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3))))
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)
(*.f64 4/81 w)

Outputs
(*.f64 2/9 w)
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(fma.f64 2/9 w (.f64 4/81 (.f64 w w)))
(fma.f64 2/9 w (.f64 w (.f64 w 4/81)))
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(*.f64 w (fma.f64 w 4/81 2/9))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(fma.f64 2/9 w (.f64 4/81 (.f64 w w)))
(fma.f64 2/9 w (.f64 w (.f64 w 4/81)))
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(*.f64 w (fma.f64 w 4/81 2/9))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(fma.f64 2/9 w (.f64 4/81 (.f64 w w)))
(fma.f64 2/9 w (.f64 w (.f64 w 4/81)))
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(*.f64 w (fma.f64 w 4/81 2/9))
(*.f64 4/81 (pow.f64 w 2))
(.f64 4/81 (.f64 w w))
(.f64 w (.f64 w 4/81))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(fma.f64 2/9 w (.f64 4/81 (.f64 w w)))
(fma.f64 2/9 w (.f64 w (.f64 w 4/81)))
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(*.f64 w (fma.f64 w 4/81 2/9))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(fma.f64 2/9 w (.f64 4/81 (.f64 w w)))
(fma.f64 2/9 w (.f64 w (.f64 w 4/81)))
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(*.f64 w (fma.f64 w 4/81 2/9))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(fma.f64 2/9 w (.f64 4/81 (.f64 w w)))
(fma.f64 2/9 w (.f64 w (.f64 w 4/81)))
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(*.f64 w (fma.f64 w 4/81 2/9))
(*.f64 4/81 (pow.f64 w 2))
(.f64 4/81 (.f64 w w))
(.f64 w (.f64 w 4/81))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(fma.f64 2/9 w (.f64 4/81 (.f64 w w)))
(fma.f64 2/9 w (.f64 w (.f64 w 4/81)))
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(*.f64 w (fma.f64 w 4/81 2/9))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(fma.f64 2/9 w (.f64 4/81 (.f64 w w)))
(fma.f64 2/9 w (.f64 w (.f64 w 4/81)))
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(*.f64 w (fma.f64 w 4/81 2/9))
(+.f64 (.f64 2/9 w) (.f64 4/81 (pow.f64 w 2)))
(fma.f64 2/9 w (.f64 4/81 (.f64 w w)))
(fma.f64 2/9 w (.f64 w (.f64 w 4/81)))
(.f64 w (+.f64 2/9 (.f64 w 4/81)))
(*.f64 w (fma.f64 w 4/81 2/9))
(*.f64 2/3 w)
(*.f64 w 2/3)
(+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 2/3 w))
(fma.f64 2/9 (.f64 w w) (.f64 w 2/3))
(.f64 w (+.f64 2/3 (.f64 2/9 w)))
(*.f64 w (fma.f64 2/9 w 2/3))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 4/81 (pow.f64 w 3)) (*.f64 2/3 w)))
(fma.f64 2/9 (.f64 w w) (fma.f64 4/81 (pow.f64 w 3) (.f64 w 2/3)))
(fma.f64 2/9 (.f64 w w) (fma.f64 w 2/3 (.f64 4/81 (pow.f64 w 3))))
(fma.f64 4/81 (pow.f64 w 3) (.f64 w (+.f64 2/3 (.f64 2/9 w))))
(.f64 w (+.f64 2/3 (.f64 w (fma.f64 w 4/81 2/9))))
(*.f64 w (fma.f64 w (fma.f64 w 4/81 2/9) 2/3))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 4/81 (pow.f64 w 3)) (*.f64 2/3 w)))
(fma.f64 2/9 (.f64 w w) (fma.f64 4/81 (pow.f64 w 3) (.f64 w 2/3)))
(fma.f64 2/9 (.f64 w w) (fma.f64 w 2/3 (.f64 4/81 (pow.f64 w 3))))
(fma.f64 4/81 (pow.f64 w 3) (.f64 w (+.f64 2/3 (.f64 2/9 w))))
(.f64 w (+.f64 2/3 (.f64 w (fma.f64 w 4/81 2/9))))
(*.f64 w (fma.f64 w (fma.f64 w 4/81 2/9) 2/3))
(*.f64 4/81 (pow.f64 w 3))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 4/81 (pow.f64 w 3)))
(fma.f64 2/9 (.f64 w w) (.f64 4/81 (pow.f64 w 3)))
(fma.f64 4/81 (pow.f64 w 3) (.f64 2/9 (.f64 w w)))
(.f64 w (.f64 w (+.f64 2/9 (*.f64 w 4/81))))
(.f64 (.f64 w w) (fma.f64 w 4/81 2/9))
(.f64 w (.f64 w (fma.f64 w 4/81 2/9)))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3))))
(fma.f64 2/9 (.f64 w w) (fma.f64 4/81 (pow.f64 w 3) (.f64 w 2/3)))
(fma.f64 2/9 (.f64 w w) (fma.f64 w 2/3 (.f64 4/81 (pow.f64 w 3))))
(fma.f64 4/81 (pow.f64 w 3) (.f64 w (+.f64 2/3 (.f64 2/9 w))))
(.f64 w (+.f64 2/3 (.f64 w (fma.f64 w 4/81 2/9))))
(*.f64 w (fma.f64 w (fma.f64 w 4/81 2/9) 2/3))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3))))
(fma.f64 2/9 (.f64 w w) (fma.f64 4/81 (pow.f64 w 3) (.f64 w 2/3)))
(fma.f64 2/9 (.f64 w w) (fma.f64 w 2/3 (.f64 4/81 (pow.f64 w 3))))
(fma.f64 4/81 (pow.f64 w 3) (.f64 w (+.f64 2/3 (.f64 2/9 w))))
(.f64 w (+.f64 2/3 (.f64 w (fma.f64 w 4/81 2/9))))
(*.f64 w (fma.f64 w (fma.f64 w 4/81 2/9) 2/3))
(*.f64 4/81 (pow.f64 w 3))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (.f64 4/81 (pow.f64 w 3)))
(fma.f64 2/9 (.f64 w w) (.f64 4/81 (pow.f64 w 3)))
(fma.f64 4/81 (pow.f64 w 3) (.f64 2/9 (.f64 w w)))
(.f64 w (.f64 w (+.f64 2/9 (*.f64 w 4/81))))
(.f64 (.f64 w w) (fma.f64 w 4/81 2/9))
(.f64 w (.f64 w (fma.f64 w 4/81 2/9)))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3))))
(fma.f64 2/9 (.f64 w w) (fma.f64 4/81 (pow.f64 w 3) (.f64 w 2/3)))
(fma.f64 2/9 (.f64 w w) (fma.f64 w 2/3 (.f64 4/81 (pow.f64 w 3))))
(fma.f64 4/81 (pow.f64 w 3) (.f64 w (+.f64 2/3 (.f64 2/9 w))))
(.f64 w (+.f64 2/3 (.f64 w (fma.f64 w 4/81 2/9))))
(*.f64 w (fma.f64 w (fma.f64 w 4/81 2/9) 2/3))
(+.f64 (.f64 2/9 (pow.f64 w 2)) (+.f64 (.f64 2/3 w) (*.f64 4/81 (pow.f64 w 3))))
(fma.f64 2/9 (.f64 w w) (fma.f64 4/81 (pow.f64 w 3) (.f64 w 2/3)))
(fma.f64 2/9 (.f64 w w) (fma.f64 w 2/3 (.f64 4/81 (pow.f64 w 3))))
(fma.f64 4/81 (pow.f64 w 3) (.f64 w (+.f64 2/3 (.f64 2/9 w))))
(.f64 w (+.f64 2/3 (.f64 w (fma.f64 w 4/81 2/9))))
(*.f64 w (fma.f64 w (fma.f64 w 4/81 2/9) 2/3))
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)
(*.f64 4/81 w)
(*.f64 w 4/81)

eval248.0ms (1.6%)

Compiler: Compiled 19705 to 8148 computations (58.7% saved)

prune122.0ms (0.8%)

Pruning

32 alts after pruning (21 fresh and 11 done)

	Pruned	Kept	Total
New	859	11	870
Fresh	5	10	15
Picked	1	0	1
Done	3	11	14
Total	868	32	900

Error

0.0b

Counts

900 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	4.6b	(exp.f64 (fma.f64 (log.f64 l) (exp.f64 w) (neg.f64 w)))
✓	7.5b	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))
✓	4.6b	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
	14.0b	(*.f64 (-.f64 1 w) l)
	8.3b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)))
	8.3b	(/.f64 (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)) (exp.f64 w))
	31.3b	(/.f64 (.f64 l l) (-.f64 l (.f64 l (neg.f64 w))))
✓	0.1b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
	48.1b	(exp.f64 (neg.f64 w))
	0.5b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
	4.6b	(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
✓	7.5b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
	37.3b	(/.f64 (.f64 l (+.f64 l (.f64 (.f64 w w) l))) (-.f64 l (.f64 l (neg.f64 w))))
✓	0.1b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
	14.0b	(*.f64 (+.f64 w 1) l)
	34.1b	(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3)) (cbrt.f64 (exp.f64 w))))
✓	61.3b	(*.f64 w (neg.f64 l))
	13.8b	l
	5.0b	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
	14.0b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2)))))) l))
	6.8b	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (exp.f64 w) (log.f64 l)) w)) 2)) (cbrt.f64 (-.f64 (.f64 (exp.f64 w) (log.f64 l)) w)))
	14.2b	(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
	1.0b	(.f64 (/.f64 1 (+.f64 1 (.f64 w 2/3))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
	12.8b	(.f64 (-.f64 1 (.f64 w w)) (/.f64 l (+.f64 1 w)))
	14.3b	(+.f64 l (.f64 w (-.f64 (.f64 w (+.f64 (.f64 l 1/2) (.f64 w (*.f64 l -1/6)))) l)))
✓	1.7b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
✓	14.0b	(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2)))))) l) (exp.f64 w))
	14.2b	(+.f64 l (.f64 w (-.f64 (.f64 w (*.f64 l 1/2)) l)))
	5.1b	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
✓	34.1b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3))
✓	0.2b	(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
✓	0.1b	(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

Compiler

Compiled 520 to 336 computations (35.4% saved)

regimes73.0ms (0.5%)

Counts

53 → 1

Calls

Call 1

Inputs
l
l
l
(*.f64 w (neg.f64 l))
(*.f64 (+.f64 w 1) l)
(*.f64 (-.f64 1 w) l)
(-.f64 l (*.f64 l w))
(/.f64 (.f64 l l) (-.f64 l (.f64 l (neg.f64 w))))
(.f64 (-.f64 1 (.f64 w w)) (/.f64 l (+.f64 1 w)))
(+.f64 l (.f64 w (-.f64 (.f64 w (*.f64 l 1/2)) l)))
(/.f64 (.f64 l (+.f64 l (.f64 (.f64 w w) l))) (-.f64 l (.f64 l (neg.f64 w))))
(+.f64 l (.f64 w (-.f64 (.f64 w (+.f64 (.f64 l 1/2) (.f64 w (*.f64 l -1/6)))) l)))
(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))
(exp.f64 (neg.f64 w))
(/.f64 l (exp.f64 w))
(.f64 l (.f64 w (log.f64 l)))
(.f64 (.f64 w (log.f64 l)) (-.f64 l (*.f64 l w)))
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
(fma.f64 w (*.f64 l (+.f64 (log.f64 l) -1)) l)
(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(exp.f64 (fma.f64 (log.f64 l) (exp.f64 w) (neg.f64 w)))
(exp.f64 (fma.f64 (exp.f64 w) (log.f64 l) (neg.f64 w)))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
(.f64 (/.f64 1 (+.f64 1 (.f64 w 2/3))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(.f64 (/.f64 1 (+.f64 1 (.f64 2/3 w))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
(.f64 (/.f64 1 (+.f64 1 (.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (.f64 w 4/81))))))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
(/.f64 (exp.f64 (*.f64 -2/3 w)) (/.f64 (cbrt.f64 (exp.f64 w)) (pow.f64 l (exp.f64 w))))
(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2)))))) l) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2)))))) l))
(/.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (cbrt.f64 (exp.f64 w)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w))) (exp.f64 w))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (exp.f64 w) (log.f64 l)) w)) 2)) (cbrt.f64 (-.f64 (.f64 (exp.f64 w) (log.f64 l)) w)))
(/.f64 (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) (+.f64 1/2 (.f64 (log.f64 l) 1/6))))) (pow.f64 w 3)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l)))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 3)) (cbrt.f64 (exp.f64 w))))

Outputs
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

Calls

3 calls:

22.0ms	l
21.0ms	w
16.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Results

Error	Segments	Branch
0.1b	1	`w`
0.1b	1	`l`
0.1b	1	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 690 to 278 computations (59.7% saved)

regimes70.0ms (0.4%)

Counts

48 → 1

Calls

Call 1

Inputs
l
l
l
(*.f64 w (neg.f64 l))
(*.f64 (+.f64 w 1) l)
(*.f64 (-.f64 1 w) l)
(-.f64 l (*.f64 l w))
(/.f64 (.f64 l l) (-.f64 l (.f64 l (neg.f64 w))))
(.f64 (-.f64 1 (.f64 w w)) (/.f64 l (+.f64 1 w)))
(+.f64 l (.f64 w (-.f64 (.f64 w (*.f64 l 1/2)) l)))
(/.f64 (.f64 l (+.f64 l (.f64 (.f64 w w) l))) (-.f64 l (.f64 l (neg.f64 w))))
(+.f64 l (.f64 w (-.f64 (.f64 w (+.f64 (.f64 l 1/2) (.f64 w (*.f64 l -1/6)))) l)))
(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))
(exp.f64 (neg.f64 w))
(/.f64 l (exp.f64 w))
(.f64 l (.f64 w (log.f64 l)))
(.f64 (.f64 w (log.f64 l)) (-.f64 l (*.f64 l w)))
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
(fma.f64 w (*.f64 l (+.f64 (log.f64 l) -1)) l)
(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(exp.f64 (fma.f64 (log.f64 l) (exp.f64 w) (neg.f64 w)))
(exp.f64 (fma.f64 (exp.f64 w) (log.f64 l) (neg.f64 w)))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
(.f64 (/.f64 1 (+.f64 1 (.f64 w 2/3))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(.f64 (/.f64 1 (+.f64 1 (.f64 2/3 w))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
(.f64 (/.f64 1 (+.f64 1 (.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (.f64 w 4/81))))))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
(/.f64 (exp.f64 (*.f64 -2/3 w)) (/.f64 (cbrt.f64 (exp.f64 w)) (pow.f64 l (exp.f64 w))))
(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2)))))) l) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2)))))) l))
(/.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (cbrt.f64 (exp.f64 w)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w))) (exp.f64 w))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))

Outputs
(/.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (cbrt.f64 (exp.f64 w)))

Calls

3 calls:

24.0ms	w
20.0ms	l
14.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Results

Error	Segments	Branch
0.1b	1	`w`
0.1b	1	`l`
0.1b	1	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 546 to 210 computations (61.5% saved)

regimes62.0ms (0.4%)

Counts

45 → 1

Calls

Call 1

Inputs
l
l
l
(*.f64 w (neg.f64 l))
(*.f64 (+.f64 w 1) l)
(*.f64 (-.f64 1 w) l)
(-.f64 l (*.f64 l w))
(/.f64 (.f64 l l) (-.f64 l (.f64 l (neg.f64 w))))
(.f64 (-.f64 1 (.f64 w w)) (/.f64 l (+.f64 1 w)))
(+.f64 l (.f64 w (-.f64 (.f64 w (*.f64 l 1/2)) l)))
(/.f64 (.f64 l (+.f64 l (.f64 (.f64 w w) l))) (-.f64 l (.f64 l (neg.f64 w))))
(+.f64 l (.f64 w (-.f64 (.f64 w (+.f64 (.f64 l 1/2) (.f64 w (*.f64 l -1/6)))) l)))
(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))
(exp.f64 (neg.f64 w))
(/.f64 l (exp.f64 w))
(.f64 l (.f64 w (log.f64 l)))
(.f64 (.f64 w (log.f64 l)) (-.f64 l (*.f64 l w)))
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
(/.f64 (.f64 l (.f64 w (log.f64 l))) (exp.f64 w))
(fma.f64 w (*.f64 l (+.f64 (log.f64 l) -1)) l)
(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(exp.f64 (fma.f64 (log.f64 l) (exp.f64 w) (neg.f64 w)))
(exp.f64 (fma.f64 (exp.f64 w) (log.f64 l) (neg.f64 w)))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(/.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))) (exp.f64 w))
(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
(.f64 (/.f64 1 (+.f64 1 (.f64 w 2/3))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(.f64 (/.f64 1 (+.f64 1 (.f64 2/3 w))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (.f64 (.f64 w (*.f64 w 1/2)) (+.f64 (log.f64 l) 1)))) l))
(.f64 (/.f64 1 (+.f64 1 (.f64 w (+.f64 2/3 (.f64 w (+.f64 2/9 (.f64 w 4/81))))))) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
(/.f64 (exp.f64 (*.f64 -2/3 w)) (/.f64 (cbrt.f64 (exp.f64 w)) (pow.f64 l (exp.f64 w))))
(.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/9 w)) 6)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (.f64 w 1/2)))))) l) (exp.f64 w))
(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 (log.f64 l) (+.f64 w (log.f64 (pow.f64 (.f64 l (E.f64)) (.f64 w (*.f64 w 1/2)))))) l))

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

Calls

3 calls:

19.0ms	l
18.0ms	w
14.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Results

Error	Segments	Branch
0.1b	1	`w`
0.1b	1	`l`
0.1b	1	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 502 to 197 computations (60.8% saved)

regimes25.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

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

Outputs
(/.f64 l (exp.f64 w))

Calls

2 calls:

10.0ms	l
10.0ms	w

Results

Error	Segments	Branch
1.5b	1	`w`
1.5b	1	`l`

Compiler

Compiled 206 to 81 computations (60.7% saved)

regimes35.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	l
13.0ms	w

Results

Error	Segments	Branch
1.5b	2	`w`
11.2b	3	`l`

Compiler

Compiled 118 to 52 computations (55.9% saved)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	0.0008614035948296856	1119394.745786514

Compiler

Compiled 105 to 83 computations (21% saved)

regimes33.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

Inputs
l
l
l
(*.f64 w (neg.f64 l))
(*.f64 (+.f64 w 1) l)
(*.f64 (-.f64 1 w) l)
(-.f64 l (*.f64 l w))
(/.f64 (.f64 l l) (-.f64 l (.f64 l (neg.f64 w))))
(.f64 (-.f64 1 (.f64 w w)) (/.f64 l (+.f64 1 w)))
(+.f64 l (.f64 w (-.f64 (.f64 w (*.f64 l 1/2)) l)))
(/.f64 (.f64 l (+.f64 l (.f64 (.f64 w w) l))) (-.f64 l (.f64 l (neg.f64 w))))
(+.f64 l (.f64 w (-.f64 (.f64 w (+.f64 (.f64 l 1/2) (.f64 w (*.f64 l -1/6)))) l)))
(/.f64 (-.f64 (.f64 l l) (.f64 (.f64 l (neg.f64 w)) (.f64 l (neg.f64 w)))) (-.f64 l (*.f64 l (neg.f64 w))))

Outputs
l
(/.f64 (.f64 l l) (-.f64 l (.f64 l (neg.f64 w))))

Calls

2 calls:

18.0ms	l
12.0ms	w

Results

Error	Segments	Branch
6.0b	2	`w`
11.2b	3	`l`

Compiler

Compiled 115 to 51 computations (55.7% saved)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	0.0008614035948296856	1119394.745786514

Compiler

Compiled 168 to 110 computations (34.5% saved)

regimes11.0ms (0.1%)

Accuracy

Total -47.5b remaining (-344.7%)

Threshold costs -47.5b (-344.7%)

Counts

7 → 1

Calls

Call 1

Inputs
l
l
l
(*.f64 w (neg.f64 l))
(*.f64 (+.f64 w 1) l)
(*.f64 (-.f64 1 w) l)
(-.f64 l (*.f64 l w))

Outputs
l

Calls

2 calls:

5.0ms	w
4.0ms	l

Results

Error	Segments	Branch
13.8b	1	`w`
13.8b	1	`l`

Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`cancel-sign-sub-inv_binary64`
24×	`distribute-rgt-neg-in_binary64`
18×	`distribute-lft-neg-in_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	106
1	45	104
2	65	104
3	95	104
4	114	104
5	133	104
6	152	104
7	170	104
8	202	104
9	223	104
10	227	104

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (cbrt.f64 (exp.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 l (exp.f64 w))
(if (<=.f64 w 1100000) l (exp.f64 (neg.f64 w)))
(if (<=.f64 w 1100000) l (/.f64 (.f64 l l) (-.f64 l (.f64 l (neg.f64 w)))))
l

Outputs
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 w))) 3) 2)) (/.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 w))))
(/.f64 (/.f64 (pow.f64 l (exp.f64 w)) (pow.f64 (cbrt.f64 (exp.f64 w)) 2)) (cbrt.f64 (exp.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 l (exp.f64 w))
(if (<=.f64 w 1100000) l (exp.f64 (neg.f64 w)))
(if (<=.f64 w 1100000) l (/.f64 (.f64 l l) (-.f64 l (.f64 l (neg.f64 w)))))
(if (<=.f64 w 1100000) l (/.f64 (.f64 l l) (+.f64 l (.f64 w l))))
l

Compiler

Compiled 81 to 50 computations (38.3% saved)

soundness107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

957×	`associate-*l/_binary64`
656×	`unswap-sqr_binary64`
607×	`times-frac_binary64`
531×	`sqr-pow_binary64`
386×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	38	11
3	85	11
4	261	11
5	1119	11
6	4071	11
7	4170	11
8	4294	11
9	4531	11
10	4974	11
11	5791	11

Stop Event

1×	node limit

Compiler

Compiled 41 to 26 computations (36.6% saved)

end42.0ms (0.3%)

Compiler: Compiled 69 to 32 computations (53.6% saved)

Iter	Nodes	Cost
0	13	160
1	34	160
2	51	160
3	88	160
4	122	160
5	201	160
6	340	160
7	418	160
8	488	160
9	494	160

Iter	Nodes	Cost
0	31	106
1	45	104
2	65	104
3	95	104
4	114	104
5	133	104
6	152	104
7	170	104
8	202	104
9	223	104
10	227	104

Iter	Nodes	Cost
0	13	160
1	34	160
2	51	160
3	88	160
4	122	160
5	201	160
6	340	160
7	418	160
8	488	160
9	494	160

Iter	Nodes	Cost
0	31	106
1	45	104
2	65	104
3	95	104
4	114	104
5	133	104
6	152	104
7	170	104
8	202	104
9	223	104
10	227	104

Iter	Nodes	Cost
0	13	160
1	34	160
2	51	160
3	88	160
4	122	160
5	201	160
6	340	160
7	418	160
8	488	160
9	494	160

Iter	Nodes	Cost
0	31	106
1	45	104
2	65	104
3	95	104
4	114	104
5	133	104
6	152	104
7	170	104
8	202	104
9	223	104
10	227	104