Details

analyze229.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample9.9s (69.4%)

Results

5.6s	1638×	body	8192	exit
1.9s	3305×	body	1024	invalid
1.5s	8256×	body	256	valid
563.0ms	1658×	body	512	invalid
303.0ms	2032×	body	256	invalid
6.0ms	2×	body	4096	invalid
6.0ms	7×	body	2048	invalid

preprocess97.0ms (0.7%)

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)

simplify74.0ms (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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
▶	0.2b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))

Compiler

Compiled 19 to 12 computations (36.8% saved)

localize9.0ms (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)))
✓	0.2b	(pow.f64 l (exp.f64 w))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series83.0ms (0.6%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
46.0ms	l	@	0	(pow.f64 l (exp.f64 w))
15.0ms	l	@	-inf	(pow.f64 l (exp.f64 w))
11.0ms	w	@	inf	(pow.f64 l (exp.f64 w))
6.0ms	l	@	inf	(pow.f64 l (exp.f64 w))
1.0ms	w	@	0	(pow.f64 l (exp.f64 w))

rewrite63.0ms (0.4%)

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))))))))

simplify48.0ms (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))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
	0.2b	(pow.f64 l (exp.f64 w))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (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))

rewrite44.0ms (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))))))

simplify73.0ms (0.5%)

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)))

eval28.0ms (0.2%)

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

prune25.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	104	13	117
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	105	14	119

Error

0.1b

Counts

119 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(/.f64 l (exp.f64 w))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 3)
▶	1.4b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
	32.5b	(pow.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 3) 1/3)
	10.4b	(/.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))
	14.5b	l
✓	0.2b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
	1.4b	(.f64 (exp.f64 (neg.f64 w)) (+.f64 l (.f64 l (*.f64 w (log.f64 l)))))
	1.5b	(*.f64 (exp.f64 (neg.f64 w)) l)
▶	0.6b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
	2.3b	(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
	14.4b	(fma.f64 w (*.f64 l (+.f64 (log.f64 l) -1)) l)
▶	14.4b	(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))

Compiler

Compiled 340 to 217 computations (36.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
	0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
	0.2b	(pow.f64 l (exp.f64 w))
✓	0.4b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)

Compiler

Compiled 36 to 9 computations (75% saved)

series10.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	w	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
2.0ms	w	@	0	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
1.0ms	w	@	0	(sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))
1.0ms	l	@	0	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
1.0ms	l	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
747×	`add-log-exp_binary64`
747×	`log1p-expm1-u_binary64`
747×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	190	24
2	2078	24

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) 2)
(sqrt.f64 (/.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 (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 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 (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 (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (*.f64 (cbrt.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 (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 (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 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 1/4) (*.f64 (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 1/4) (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 (*.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)) 1/4)) (pow.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)) 1/4))))) (#(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 *.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (cbrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))) (cbrt.f64 (sqrt.f64 (/.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 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 (/.f64 (exp.f64 w) (pow.f64 l (exp.f64 w))) 1))))) (#(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 (pow.f64 l (exp.f64 w))) (/.f64 (exp.f64 w) (sqrt.f64 (pow.f64 l (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 -1 (neg.f64 (/.f64 (exp.f64 w) (pow.f64 l (exp.f64 w)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 l (exp.f64 w)))) (neg.f64 (neg.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 /.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 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))))) (#(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))))))

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

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-neg_binary64`
690×	`fma-def_binary64`
380×	`associate-+l+_binary64`
376×	`distribute-rgt-in_binary64`
363×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1138
1	316	1096
2	1143	1052
3	7097	1028

Stop Event

1×	node limit

Counts

111 → 94

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

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

localize4.0ms (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	w	@	0	(/.f64 l (exp.f64 w))
1.0ms	l	@	inf	(/.f64 l (exp.f64 w))
1.0ms	l	@	0	(/.f64 l (exp.f64 w))
1.0ms	w	@	inf	(/.f64 l (exp.f64 w))
1.0ms	w	@	-inf	(/.f64 l (exp.f64 w))

rewrite41.0ms (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))))))

simplify53.0ms (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)))

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 l (.f64 w (-.f64 (.f64 l (log.f64 l)) l)))
✓	0.2b	(.f64 w (-.f64 (.f64 l (log.f64 l)) l))
✓	0.3b	(-.f64 (*.f64 l (log.f64 l)) l)
✓	0.3b	(*.f64 l (log.f64 l))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series34.0ms (0.2%)

Counts

4 → 47

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	w	@	0	(.f64 w (-.f64 (.f64 l (log.f64 l)) l))
6.0ms	l	@	0	(*.f64 l (log.f64 l))
1.0ms	l	@	inf	(.f64 w (-.f64 (.f64 l (log.f64 l)) l))
1.0ms	l	@	-inf	(*.f64 l (log.f64 l))
1.0ms	l	@	-inf	(.f64 w (-.f64 (.f64 l (log.f64 l)) l))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
450×	`fma-def_binary64`
364×	`pow-prod-down_binary64`
343×	`exp-prod_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	42
1	177	40
2	2610	40

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

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

simplify263.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1013×	`distribute-rgt-in_binary64`
520×	`unsub-neg_binary64`
454×	`fma-neg_binary64`
407×	`fma-def_binary64`
291×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	537
1	120	481
2	293	481
3	970	481
4	3434	481
5	5259	481
6	6063	481
7	6432	481
8	6618	481
9	6739	481
10	6838	481
11	7259	481
12	7279	481
13	7279	481

Stop Event

1×	node limit

Counts

288 → 258

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
✓	0.3b	(*.f64 w (log.f64 l))
✓	0.4b	(.f64 l (.f64 w (log.f64 l)))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series9.0ms (0.1%)

Counts

3 → 40

Calls

18 calls:

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

rewrite60.0ms (0.4%)

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	32
1	190	30
2	2746	30

Stop Event

1×	node limit

Counts

3 → 77

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))

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

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

601×	`associate-+l+_binary64`
582×	`distribute-rgt-in_binary64`
546×	`distribute-lft-in_binary64`
492×	`associate-+r+_binary64`
347×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	639
1	180	594
2	541	527
3	2181	517

Stop Event

1×	node limit

Counts

117 → 97

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)))

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

localize11.0ms (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))
✓	4.6b	(exp.f64 (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))

Compiler

Compiled 28 to 7 computations (75% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite59.0ms (0.4%)

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))))))

simplify76.0ms (0.5%)

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)

eval162.0ms (1.1%)

Compiler: Compiled 11324 to 4263 computations (62.4% saved)

prune107.0ms (0.7%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	650	14	664
Fresh	5	3	8
Picked	1	0	1
Done	2	3	5
Total	658	20	678

Error

0.0b

Counts

678 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	4.6b	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
▶	14.8b	(-.f64 l (*.f64 l w))
	6.6b	(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)))
✓	1.5b	(/.f64 l (exp.f64 w))
	47.3b	(exp.f64 (neg.f64 w))
✓	1.4b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
▶	1.5b	(*.f64 (exp.f64 (neg.f64 w)) l)
▶	2.3b	(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
	5.0b	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
	14.4b	(+.f64 l (.f64 w (.f64 (-.f64 (log.f64 l) 1) l)))
	10.4b	(/.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))
	24.7b	(-.f64 (+.f64 1 (/.f64 l (exp.f64 w))) 1)
	4.6b	(exp.f64 (fma.f64 (log.f64 l) (exp.f64 w) (neg.f64 w)))
	14.9b	(+.f64 l (.f64 w (-.f64 (.f64 w (*.f64 l 1/2)) l)))
✓	0.2b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
▶	1.4b	(.f64 (exp.f64 (neg.f64 w)) (+.f64 l (.f64 l (*.f64 w (log.f64 l)))))
	14.5b	l
▶	14.4b	(*.f64 l (fma.f64 (log.f64 l) w (-.f64 1 w)))
	15.0b	(+.f64 l (.f64 w (-.f64 (.f64 w (+.f64 (.f64 l 1/2) (.f64 w (*.f64 l -1/6)))) l)))
	61.3b	(.f64 l (.f64 (+.f64 -1 (log.f64 l)) w))

Compiler

Compiled 485 to 313 computations (35.5% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 9 computations (78% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`log-prod_binary64`
447×	`pow-prod-down_binary64`
399×	`fma-def_binary64`
261×	`pow2_binary64`
232×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	214	15
2	3123	1

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

437×	`associate-+l+_binary64`
390×	`distribute-rgt-in_binary64`
371×	`times-frac_binary64`
366×	`distribute-lft-in_binary64`
335×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	478
1	200	397
2	652	386
3	2546	386
4	6896	386

Stop Event

1×	node limit

Counts

117 → 109

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

localize4.0ms (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	@	0	(-.f64 l (*.f64 l w))
0.0ms	l	@	inf	(-.f64 l (*.f64 l w))
0.0ms	l	@	-inf	(-.f64 l (*.f64 l w))
0.0ms	w	@	0	(-.f64 l (*.f64 l w))
0.0ms	w	@	-inf	(-.f64 l (*.f64 l w))

rewrite44.0ms (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)))))))

simplify21.0ms (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)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite37.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`pow1_binary64`
447×	`add-sqr-sqrt_binary64`
441×	`*-un-lft-identity_binary64`
428×	`add-log-exp_binary64`
427×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	6
2	1445	6

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

741×	`distribute-rgt-neg-in_binary64`
633×	`distribute-lft-neg-in_binary64`
483×	`cancel-sign-sub-inv_binary64`
432×	`fma-def_binary64`
391×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	89
1	70	84
2	169	84
3	524	68
4	2017	68
5	5411	68

Stop Event

1×	node limit

Counts

20 → 20

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (log.f64 l) w (-.f64 1 w))
✓	0.3b	(*.f64 l (fma.f64 (log.f64 l) w (-.f64 1 w)))

Compiler

Compiled 26 to 13 computations (50% saved)

series35.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	w	@	-inf	(*.f64 l (fma.f64 (log.f64 l) w (-.f64 1 w)))
1.0ms	l	@	-inf	(*.f64 l (fma.f64 (log.f64 l) w (-.f64 1 w)))
1.0ms	l	@	0	(*.f64 l (fma.f64 (log.f64 l) w (-.f64 1 w)))
1.0ms	l	@	inf	(*.f64 l (fma.f64 (log.f64 l) w (-.f64 1 w)))
0.0ms	w	@	inf	(*.f64 l (fma.f64 (log.f64 l) w (-.f64 1 w)))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`pow1_binary64`
742×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	160	23
2	1962	23

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(*.f64 l (fma.f64 (log.f64 l) w (-.f64 1 w)))
(fma.f64 (log.f64 l) w (-.f64 1 w))

Outputs

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

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

simplify195.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1185×	`unsub-neg_binary64`
797×	`distribute-rgt-in_binary64`
525×	`fma-def_binary64`
453×	`distribute-neg-in_binary64`
364×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	611
1	115	527
2	327	527
3	928	527
4	2212	527
5	4359	527
6	6435	527
7	7129	527
8	7437	527
9	7561	527
10	7613	527
11	7633	527
12	7633	527
13	7633	527

Stop Event

1×	node limit

Counts

86 → 58

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
	0.2b	(pow.f64 l (exp.f64 w))
✓	2.1b	(expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))
0.0ms	w	@	0	(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
0.0ms	w	@	0	(expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))
0.0ms	l	@	-inf	(expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))
0.0ms	l	@	inf	(expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`expm1-log1p-u_binary64`
681×	`log1p-expm1-u_binary64`
664×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	145	17
2	1846	17

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w))))
(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))

Outputs

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

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

711×	`cancel-sign-sub-inv_binary64`
498×	`fma-def_binary64`
481×	`fma-neg_binary64`
395×	`distribute-rgt-out_binary64`
301×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	652
1	230	634
2	795	621
3	4198	604

Stop Event

1×	node limit

Counts

107 → 79

Calls

Call 1

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

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

eval84.0ms (0.6%)

Compiler: Compiled 4785 to 2062 computations (56.9% saved)

prune69.0ms (0.5%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	371	10	381
Fresh	4	8	12
Picked	0	1	1
Done	2	5	7
Total	377	24	401

Error

0.0b

Counts

401 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.6b	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
✓	14.8b	(-.f64 l (*.f64 l w))
▶	61.2b	(*.f64 w (neg.f64 l))
	6.6b	(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)))
✓	1.5b	(/.f64 l (exp.f64 w))
▶	38.5b	(-.f64 (+.f64 1 (*.f64 (exp.f64 w) l)) 1)
	47.3b	(exp.f64 (neg.f64 w))
✓	1.4b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
✓	2.3b	(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
▶	15.0b	(+.f64 l (.f64 w (-.f64 (.f64 (.f64 l w) (+.f64 1/2 (.f64 w -1/6))) l)))
▶	5.0b	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
	14.4b	(+.f64 l (.f64 w (.f64 (-.f64 (log.f64 l) 1) l)))
	14.4b	(.f64 (-.f64 (+.f64 1 (.f64 w (log.f64 l))) w) l)
	43.8b	(/.f64 (pow.f64 l 3) (*.f64 l l))
	61.3b	(.f64 w (.f64 l (+.f64 (log.f64 l) -1)))
	31.5b	(/.f64 (*.f64 l l) l)
	14.5b	l
	14.9b	(+.f64 l (.f64 w (-.f64 (.f64 w (*.f64 l 1/2)) l)))
	43.8b	(/.f64 1 (/.f64 (*.f64 l l) (pow.f64 l 3)))
	4.6b	(exp.f64 (fma.f64 (log.f64 l) (exp.f64 w) (neg.f64 w)))
✓	0.2b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
✓	1.4b	(.f64 (exp.f64 (neg.f64 w)) (+.f64 l (.f64 l (*.f64 w (log.f64 l)))))
	10.4b	(/.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))
	31.6b	(/.f64 1 (/.f64 l (*.f64 l l)))

Compiler

Compiled 521 to 339 computations (34.9% saved)

localize16.0ms (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))
✓	4.6b	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series15.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	l	@	0	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
1.0ms	w	@	0	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
1.0ms	l	@	-inf	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
1.0ms	l	@	inf	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
0.0ms	w	@	inf	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`pow1_binary64`
915×	`add-log-exp_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	200	11
2	2540	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-+l+_binary64`
658×	`distribute-rgt-in_binary64`
633×	`distribute-lft-in_binary64`
513×	`associate-+r+_binary64`
419×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	398
1	163	356
2	459	348
3	2238	342

Stop Event

1×	node limit

Counts

46 → 33

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))

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

localize4.0ms (0%)

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (*.f64 w -1/6))
✓	0.0b	(.f64 w (-.f64 (.f64 (.f64 l w) (+.f64 1/2 (.f64 w -1/6))) l))
✓	0.1b	(.f64 (.f64 l w) (+.f64 1/2 (*.f64 w -1/6)))
✓	0.4b	(*.f64 w -1/6)

Compiler

Compiled 65 to 37 computations (43.1% saved)

series15.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(.f64 (.f64 l w) (+.f64 1/2 (*.f64 w -1/6)))
1.0ms	w	@	inf	(.f64 (.f64 l w) (+.f64 1/2 (*.f64 w -1/6)))
1.0ms	w	@	-inf	(.f64 (.f64 l w) (+.f64 1/2 (*.f64 w -1/6)))
1.0ms	l	@	-inf	(.f64 w (-.f64 (.f64 (.f64 l w) (+.f64 1/2 (.f64 w -1/6))) l))
1.0ms	w	@	-inf	(.f64 w (-.f64 (.f64 (.f64 l w) (+.f64 1/2 (.f64 w -1/6))) l))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`log-prod_binary64`
485×	`fma-def_binary64`
330×	`pow2_binary64`
243×	`fma-neg_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	251	37
2	3539	37

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 w -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) w)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) w))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) w))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) w))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 w -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 w -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 w -1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 w -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 w -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 w 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 w -1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) w))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 w -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 w 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 w -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 w -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 w -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 w -1/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 w l) 1/2) (.f64 (.f64 w -1/6) (.f64 w l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 w -1/6) (.f64 w l)) (.f64 (.f64 w l) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 l (.f64 w (fma.f64 w -1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 w l) 1/2) 1) (.f64 (.f64 (.f64 w -1/6) (.f64 w l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (.f64 w (fma.f64 w -1/6 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (.f64 w (fma.f64 w -1/6 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 w (fma.f64 w -1/6 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (.f64 w (fma.f64 w -1/6 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 l (.f64 w (fma.f64 w -1/6 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 w -1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 1/2 (.f64 w -1/6))) (/.f64 (pow.f64 (.f64 w -1/6) 2) (-.f64 1/2 (.f64 w -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 w -1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 w -1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 w -1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 w -1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 w -1/6 1/2)) 2) (cbrt.f64 (fma.f64 w -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 w -1/6 1/2)) (sqrt.f64 (fma.f64 w -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 w 3) -1/216 1/8) (/.f64 1 (fma.f64 (.f64 w -1/6) (fma.f64 w -1/6 -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/4 (pow.f64 (.f64 w -1/6) 2)) (/.f64 1 (-.f64 1/2 (.f64 w -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 w -1/6) (fma.f64 w -1/6 -1/2) 1/4) (fma.f64 (pow.f64 w 3) -1/216 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/2 (.f64 w -1/6)) (-.f64 1/4 (pow.f64 (.f64 w -1/6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 w 3) -1/216 1/8) (fma.f64 (.f64 w -1/6) (fma.f64 w -1/6 -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 w 3) -1/216 1/8) (fma.f64 (.f64 w w) 1/36 (-.f64 1/4 (.f64 -1/12 w))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (.f64 w -1/6) 2)) (-.f64 1/2 (.f64 w -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 w 3) -1/216 1/8)) (neg.f64 (fma.f64 (.f64 w -1/6) (fma.f64 w -1/6 -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (pow.f64 (.f64 w -1/6) 2))) (neg.f64 (-.f64 1/2 (.f64 w -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 w w) 1/36 -1/4) (fma.f64 w -1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 w -1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 w -1/6 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 w -1/6 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 w -1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 w -1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 w -1/6) (fma.f64 w -1/6 -1/2) 1/4) (fma.f64 (pow.f64 w 3) -1/216 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1/2 (.f64 w -1/6)) (-.f64 1/4 (pow.f64 (.f64 w -1/6) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 w -1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 w -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 w -1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 w -1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 w -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 w -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 w -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 w -1/6 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 w -1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 w 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 w -1/6) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 w -1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 w) 2) (.f64 (cbrt.f64 w) -1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 w -1/6)) (pow.f64 (cbrt.f64 (.f64 w -1/6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 w -1/6)) 2) (cbrt.f64 (.f64 w -1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 w) (.f64 (sqrt.f64 w) -1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 w -1/6)) (sqrt.f64 (.f64 w -1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/6 (pow.f64 (cbrt.f64 w) 2)) (cbrt.f64 w) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (sqrt.f64 w)) (sqrt.f64 w) 1/2)))))

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-def_binary64`
474×	`unswap-sqr_binary64`
438×	`distribute-rgt-neg-in_binary64`
411×	`fma-neg_binary64`
336×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	988
1	113	910
2	363	697
3	1238	695
4	3321	695
5	5556	695
6	6829	695

Stop Event

1×	node limit

Counts

225 → 176

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 w) l)
✓	1.6b	(-.f64 (+.f64 1 (*.f64 (exp.f64 w) l)) 1)

Compiler

Compiled 25 to 11 computations (56% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(-.f64 (+.f64 1 (*.f64 (exp.f64 w) l)) 1)
0.0ms	l	@	-inf	(-.f64 (+.f64 1 (*.f64 (exp.f64 w) l)) 1)
0.0ms	w	@	0	(-.f64 (+.f64 1 (*.f64 (exp.f64 w) l)) 1)
0.0ms	w	@	-inf	(-.f64 (+.f64 1 (*.f64 (exp.f64 w) l)) 1)
0.0ms	w	@	inf	(-.f64 (+.f64 1 (*.f64 (exp.f64 w) l)) 1)

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
758×	`add-log-exp_binary64`
758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
744×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	170	12
2	2329	12

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

478×	`associate-/l/_binary64`
412×	`associate-/r/_binary64`
364×	`fma-def_binary64`
336×	`sqr-pow_binary64`
334×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	344
1	56	336
2	139	332
3	401	320
4	1405	318
5	2163	318
6	2987	318
7	3237	318
8	3885	318
9	6528	318

Stop Event

1×	node limit

Counts

127 → 57

Calls

Call 1

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

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

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 w (+.f64 (.f64 w 1/6) 1/2))
✓	0.1b	(.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2)))))
✓	0.4b	(*.f64 w 1/6)
✓	4.6b	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))

Compiler

Compiled 102 to 67 computations (34.3% saved)

series10.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	w	@	inf	(.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2)))))
1.0ms	l	@	0	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
1.0ms	l	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
1.0ms	l	@	-inf	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
1.0ms	w	@	inf	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`log-prod_binary64`
454×	`fma-neg_binary64`
318×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
254×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	364	55
2	5301	55

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

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

Outputs
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(.f64 (log.f64 l) (fma.f64 w (.f64 w (fma.f64 w 1/6 1/2)) (+.f64 1 w)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 l) (+.f64 1 w) (.f64 (.f64 w (fma.f64 w 1/6 1/2)) (.f64 w (log.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 w) (log.f64 l) (.f64 (.f64 w (fma.f64 w 1/6 1/2)) (.f64 w (log.f64 l))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 w (fma.f64 w 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (.f64 w w)) (.f64 w 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 w 1/2) (.f64 1/6 (.f64 w w)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/6 (.f64 w w)) 1) (.f64 (.f64 w 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 w) (fma.f64 w 1/6 1/2))) (cbrt.f64 (pow.f64 (exp.f64 w) (fma.f64 w 1/6 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 w) (fma.f64 w 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 w) (fma.f64 w 1/6 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 w) (fma.f64 w 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 w (fma.f64 w 1/6 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/6 (.f64 w w)) 3) (pow.f64 (.f64 w 1/2) 3)) (+.f64 (.f64 (.f64 1/6 (.f64 w w)) (.f64 1/6 (.f64 w w))) (-.f64 (.f64 (.f64 w 1/2) (.f64 w 1/2)) (.f64 (.f64 1/6 (.f64 w w)) (.f64 w 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/6 (.f64 w w)) (.f64 1/6 (.f64 w w))) (.f64 (.f64 w 1/2) (.f64 w 1/2))) (-.f64 (.f64 1/6 (.f64 w w)) (.f64 w 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/8 (pow.f64 (.f64 w 1/6) 3)) w) (+.f64 (.f64 (.f64 w w) 1/36) (-.f64 1/4 (.f64 w 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (.f64 w w) 1/36 -1/4) w) (fma.f64 w 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 w (+.f64 1/8 (pow.f64 (.f64 w 1/6) 3))) (+.f64 (.f64 (.f64 w w) 1/36) (-.f64 1/4 (.f64 w 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 w (fma.f64 (.f64 w w) 1/36 -1/4)) (fma.f64 w 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 w (fma.f64 w 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 w (fma.f64 w 1/6 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 w (fma.f64 w 1/6 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 w (fma.f64 w 1/6 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 w (fma.f64 w 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 w) (fma.f64 w 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 w (fma.f64 w 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 w 1/2)) (exp.f64 (.f64 1/6 (.f64 w w)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 w (fma.f64 w 1/6 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 w 3) (pow.f64 (fma.f64 w 1/6 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 w 1/6 1/2) 3) (pow.f64 w 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 w (fma.f64 w 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 w (fma.f64 w 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 w (fma.f64 w 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 w (fma.f64 w 1/6 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 w (.f64 w 1/6) (.f64 w 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 w 1/6) w (.f64 w 1/2))))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

556×	`fma-def_binary64`
487×	`exp-sum_binary64`
343×	`fma-neg_binary64`
320×	`exp-prod_binary64`
312×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1338
1	298	1193
2	987	1144
3	4756	1144

Stop Event

1×	node limit

Counts

175 → 139

Calls

Call 1

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

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

eval150.0ms (1.1%)

Compiler: Compiled 9247 to 5229 computations (43.5% saved)

prune71.0ms (0.5%)

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	471	7	478
Fresh	3	10	13
Picked	0	1	1
Done	2	8	10
Total	476	26	502

Error

0.0b

Counts

502 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	4.6b	(pow.f64 (exp.f64 1) (-.f64 (*.f64 (exp.f64 w) (log.f64 l)) w))
✓	14.8b	(-.f64 l (*.f64 l w))
	15.0b	(+.f64 l (.f64 w (-.f64 (.f64 w (.f64 -1/6 (.f64 w l))) l)))
✓	61.2b	(*.f64 w (neg.f64 l))
	6.6b	(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)))
✓	1.5b	(/.f64 l (exp.f64 w))
	47.3b	(exp.f64 (neg.f64 w))
	14.5b	l
✓	1.4b	(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
✓	2.3b	(/.f64 (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))) (exp.f64 w))
✓	15.0b	(+.f64 l (.f64 w (-.f64 (.f64 (.f64 l w) (+.f64 1/2 (.f64 w -1/6))) l)))
✓	5.0b	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (.f64 w (+.f64 (.f64 w 1/6) 1/2))))) w))
	14.4b	(+.f64 l (.f64 w (.f64 (-.f64 (log.f64 l) 1) l)))
	14.4b	(.f64 (-.f64 (+.f64 1 (.f64 w (log.f64 l))) w) l)
	14.8b	(+.f64 l (*.f64 l w))
	10.4b	(/.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))
	15.2b	(*.f64 (exp.f64 w) l)
	61.3b	(.f64 w (.f64 l (+.f64 (log.f64 l) -1)))
	5.3b	(exp.f64 (-.f64 (*.f64 (log.f64 l) (+.f64 1 w)) w))
	31.6b	(/.f64 1 (/.f64 l (*.f64 l l)))
	4.6b	(exp.f64 (fma.f64 (log.f64 l) (exp.f64 w) (neg.f64 w)))
	43.8b	(/.f64 1 (/.f64 (*.f64 l l) (pow.f64 l 3)))
✓	0.2b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
	5.1b	(exp.f64 (-.f64 (.f64 (log.f64 l) (+.f64 (+.f64 1 w) (.f64 w (*.f64 1/2 w)))) w))
	14.9b	(+.f64 l (.f64 w (-.f64 (.f64 (*.f64 l w) 1/2) l)))
	31.5b	(/.f64 (*.f64 l l) l)

Compiler

Compiled 315 to 203 computations (35.6% saved)

regimes70.0ms (0.5%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	l
21.0ms	w
15.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Results

Error	Segments	Branch
0.2b	1	`w`
0.2b	1	`l`
0.2b	1	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 440 to 193 computations (56.1% saved)

regimes43.0ms (0.3%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	l
17.0ms	w

Results

Error	Segments	Branch
0.2b	1	`w`
0.2b	1	`l`

Compiler

Compiled 303 to 140 computations (53.8% saved)

regimes40.0ms (0.3%)

Counts

35 → 1

Calls

Call 1

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

Calls

2 calls:

17.0ms	l
17.0ms	w

Results

Error	Segments	Branch
1.4b	1	`w`
1.4b	1	`l`

Compiler

Compiled 288 to 135 computations (53.1% saved)

regimes36.0ms (0.2%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	w
15.0ms	l

Results

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

Compiler

Compiled 231 to 110 computations (52.4% saved)

regimes21.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	l
8.0ms	w

Results

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

Compiler

Compiled 116 to 57 computations (50.9% saved)

regimes26.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	w
8.0ms	l

Results

Error	Segments	Branch
1.5b	2	`w`
14.5b	1	`l`

Compiler

Compiled 112 to 56 computations (50% saved)

bsearch52.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	6.867806708833399	123711867759540.53

Compiler

Compiled 255 to 181 computations (29% saved)

regimes24.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	w
8.0ms	l

Results

Error	Segments	Branch
8.9b	2	`w`
14.5b	1	`l`

Compiler

Compiled 105 to 52 computations (50.5% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	3.989686033603621e-11	1.0019481598517457e-5

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes24.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(+.f64 l (.f64 w (-.f64 (.f64 w (.f64 -1/6 (.f64 w l))) l)))
(/.f64 (*.f64 l l) l)

Calls

2 calls:

13.0ms	w
9.0ms	l

Results

Error	Segments	Branch
8.9b	2	`w`
14.5b	1	`l`

Compiler

Compiled 73 to 34 computations (53.4% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	3.989686033603621e-11	1.0019481598517457e-5

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes20.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	w
6.0ms	l

Results

Error	Segments	Branch
8.9b	2	`w`
14.5b	1	`l`

Compiler

Compiled 60 to 27 computations (55% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	3.989686033603621e-11	1.0019481598517457e-5

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes17.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	w
5.0ms	l

Results

Error	Segments	Branch
8.9b	2	`w`
14.5b	1	`l`

Compiler

Compiled 38 to 16 computations (57.9% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	3.989686033603621e-11	1.0019481598517457e-5

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes14.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Outputs
l
(/.f64 (*.f64 l l) l)

Calls

2 calls:

8.0ms	w
5.0ms	l

Results

Error	Segments	Branch
8.9b	2	`w`
14.5b	1	`l`

Compiler

Compiled 26 to 12 computations (53.8% saved)

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	0.24719377961522787	6.867806708833399

Compiler

Compiled 99 to 67 computations (32.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -46.7b remaining (-321.1%)

Threshold costs -46.7b (-321.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
l

Calls

2 calls:

4.0ms	w
4.0ms	l

Results

Error	Segments	Branch
14.5b	1	`w`
14.5b	1	`l`

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
7×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	219
1	81	219
2	95	219
3	100	219
4	102	219

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/.f64 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) l)
(/.f64 l (exp.f64 w))
(if (<=.f64 w 7) (+.f64 l (.f64 w (-.f64 (.f64 (.f64 l w) (+.f64 1/2 (.f64 w -1/6))) l))) (exp.f64 (neg.f64 w)))
(if (<=.f64 w 3160954934512383488/79228162514264337593543950336) (+.f64 l (.f64 w (-.f64 (.f64 (.f64 l w) (+.f64 1/2 (.f64 w -1/6))) l))) (/.f64 (*.f64 l l) l))
(if (<=.f64 w 3160954934512383488/79228162514264337593543950336) (+.f64 l (.f64 w (-.f64 (.f64 w (.f64 -1/6 (.f64 w l))) l))) (/.f64 (*.f64 l l) l))
(if (<=.f64 w 3160954934512383488/79228162514264337593543950336) (+.f64 l (.f64 w (-.f64 (.f64 (.f64 l w) 1/2) l))) (/.f64 (.f64 l l) l))
(if (<=.f64 w 3160954934512383488/79228162514264337593543950336) (-.f64 l (.f64 l w)) (/.f64 (.f64 l l) l))
(if (<=.f64 w 7656119366529843/1125899906842624) l (/.f64 (*.f64 l l) l))
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 (+.f64 l (.f64 l (.f64 w (log.f64 l)))) (exp.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) l)
(/.f64 l (exp.f64 w))
(if (<=.f64 w 7) (+.f64 l (.f64 w (-.f64 (.f64 (.f64 l w) (+.f64 1/2 (.f64 w -1/6))) l))) (exp.f64 (neg.f64 w)))
(if (<=.f64 w 7) (+.f64 l (.f64 w (-.f64 (.f64 (.f64 w l) (+.f64 1/2 (.f64 w -1/6))) l))) (exp.f64 (neg.f64 w)))
(if (<=.f64 w 3160954934512383488/79228162514264337593543950336) (+.f64 l (.f64 w (-.f64 (.f64 (.f64 l w) (+.f64 1/2 (.f64 w -1/6))) l))) (/.f64 (*.f64 l l) l))
(if (<=.f64 w 6173740106469499/154742504910672534362390528) (+.f64 l (.f64 w (-.f64 (.f64 (.f64 w l) (+.f64 1/2 (.f64 w -1/6))) l))) (/.f64 (*.f64 l l) l))
(if (<=.f64 w 3160954934512383488/79228162514264337593543950336) (+.f64 l (.f64 w (-.f64 (.f64 w (.f64 -1/6 (.f64 w l))) l))) (/.f64 (*.f64 l l) l))
(if (<=.f64 w 6173740106469499/154742504910672534362390528) (+.f64 l (.f64 w (-.f64 (.f64 w (.f64 (.f64 w l) -1/6)) l))) (/.f64 (*.f64 l l) l))
(if (<=.f64 w 3160954934512383488/79228162514264337593543950336) (+.f64 l (.f64 w (-.f64 (.f64 (.f64 l w) 1/2) l))) (/.f64 (.f64 l l) l))
(if (<=.f64 w 6173740106469499/154742504910672534362390528) (+.f64 l (.f64 w (-.f64 (.f64 (.f64 w l) 1/2) l))) (/.f64 (.f64 l l) l))
(if (<=.f64 w 3160954934512383488/79228162514264337593543950336) (-.f64 l (.f64 l w)) (/.f64 (.f64 l l) l))
(if (<=.f64 w 6173740106469499/154742504910672534362390528) (-.f64 l (.f64 w l)) (/.f64 (.f64 l l) l))
(if (<=.f64 w 7656119366529843/1125899906842624) l (/.f64 (*.f64 l l) l))
l

Compiler

Compiled 172 to 106 computations (38.4% saved)

soundness0.0ms (0%)

end66.0ms (0.5%)

Compiler: Compiled 150 to 64 computations (57.3% 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	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	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