Details

analyze768.0ms (7.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
12.5%	71.8%	15.7%	6
20.3%	62.4%	17.3%	7
21.1%	53.1%	25.9%	8
25.4%	47.6%	27%	9
26%	41.2%	32.9%	10
28.3%	38%	33.7%	11
28.6%	35.5%	36%	12
29.8%	33.9%	36.4%	13
29.9%	31.8%	38.3%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample8.8s (82.2%)

Results

5.1s	1654×	body	8192	exit
1.8s	3317×	body	1024	invalid
1.1s	8256×	body	128	valid
548.0ms	1663×	body	512	invalid
176.0ms	834×	body	256	invalid
74.0ms	603×	body	128	invalid
6.0ms	2×	body	8192	invalid
3.0ms	4×	body	2048	invalid
2.0ms	1×	body	4096	invalid

preprocess48.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

409×	`associate-l_binary64`
386×	`associate-/l*_binary64`
325×	`associate-r_binary64`
318×	`associate-/r*_binary64`
273×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

656×	`unswap-sqr_binary64`
607×	`times-frac_binary64`
203×	`associate-l_binary64`
192×	`associate-/l*_binary64`
177×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series62.0ms (0.6%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	l	@	-inf	(pow.f64 l (exp.f64 w))
19.0ms	l	@	0	(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))

rewrite40.0ms (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`
81×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

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

Outputs

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

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

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-def_binary64`
295×	`associate-l_binary64`
265×	`associate-r_binary64`
209×	`fma-neg_binary64`
208×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

71 → 53

Calls

Call 1

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

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

prune51.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Error

0.1b

Counts

54 → 5

Alt Table

Status	Error	Program
	1.1b	(.f64 (exp.f64 (neg.f64 w)) (.f64 l (fma.f64 (log.f64 l) w 1)))
▶	0.6b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w))))
	1.2b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w))))
	0.6b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
	7.7b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 w (+.f64 (log.f64 l) (.f64 w (.f64 (log.f64 l) (+.f64 1/2 (*.f64 (log.f64 l) 1/2)))))) l))

Compiler

Compiled 1070 to 488 computations (54.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

New

Error

Program

✓

0.0b

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

✓

0.2b

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

✓

0.4b

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

series42.0ms (0.4%)

Counts

3 → 28

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	w	@	inf	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w)))
3.0ms	l	@	0	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w)))
2.0ms	l	@	inf	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w)))
2.0ms	w	@	0	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w)))
1.0ms	l	@	inf	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (pow.f64 (sqrt.f64 l) (exp.f64 w))))

rewrite43.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`log1p-expm1-u_binary64`
740×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`
99×	`pow1_binary64`
98×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	206	25
2	2641	25

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

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

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-l_binary64`
630×	`associate-r_binary64`
403×	`associate-+l+_binary64`
395×	`distribute-rgt-in_binary64`
392×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	884
1	298	842
2	1241	777

Stop Event

1×	node limit

Counts

93 → 89

Calls

Call 1

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

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

prune121.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	119	4	123

Error

0.1b

Counts

123 → 4

Alt Table

Status	Error	Program
▶	1.1b	(.f64 (exp.f64 (neg.f64 w)) (.f64 l (fma.f64 (log.f64 l) w 1)))
	2.2b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (expm1.f64 (log1p.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w))))))
	1.2b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w))))
	7.7b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 w (+.f64 (log.f64 l) (.f64 w (.f64 (log.f64 l) (+.f64 1/2 (*.f64 (log.f64 l) 1/2)))))) l))

Compiler

Compiled 2707 to 1000 computations (63.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (neg.f64 w)) (.f64 l (fma.f64 (log.f64 l) w 1)))
✓	0.0b	(fma.f64 (log.f64 l) w 1)
✓	0.0b	(*.f64 l (fma.f64 (log.f64 l) w 1))

series16.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	l	@	0	(*.f64 l (fma.f64 (log.f64 l) w 1))
1.0ms	l	@	-inf	(.f64 (exp.f64 (neg.f64 w)) (.f64 l (fma.f64 (log.f64 l) w 1)))
1.0ms	l	@	-inf	(*.f64 l (fma.f64 (log.f64 l) w 1))
1.0ms	l	@	inf	(.f64 (exp.f64 (neg.f64 w)) (.f64 l (fma.f64 (log.f64 l) w 1)))
1.0ms	l	@	inf	(*.f64 l (fma.f64 (log.f64 l) w 1))

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`
91×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	190	32
2	2274	32

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

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

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

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

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

332×	`distribute-rgt-in_binary64`
319×	`associate-+l+_binary64`
301×	`distribute-lft-in_binary64`
282×	`fma-def_binary64`
273×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	941
1	193	777
2	540	774
3	1988	768

Stop Event

1×	node limit

Counts

130 → 87

Calls

Call 1

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

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

prune69.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Error

0.1b

Counts

91 → 4

Alt Table

Status	Error	Program
✓	1.1b	(.f64 (exp.f64 (neg.f64 w)) (.f64 l (fma.f64 (log.f64 l) w 1)))
	2.2b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (expm1.f64 (log1p.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w))))))
▶	1.2b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w))))
	7.7b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 w (+.f64 (log.f64 l) (.f64 w (.f64 (log.f64 l) (+.f64 1/2 (*.f64 (log.f64 l) 1/2)))))) l))

Compiler

Compiled 1390 to 673 computations (51.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cbrt.f64 l) (exp.f64 w))
✓	0.3b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w)))
✓	0.5b	(pow.f64 (cbrt.f64 l) 2)
✓	0.5b	(cbrt.f64 l)

series57.0ms (0.5%)

Counts

4 → 24

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	w	@	inf	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w)))
7.0ms	l	@	inf	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w)))
6.0ms	l	@	-inf	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w)))
4.0ms	l	@	0	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w)))
2.0ms	w	@	0	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 l) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w)))

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

813×	`pow1_binary64`
751×	`log1p-expm1-u_binary64`
751×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`
95×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	207	23
2	2334	23

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

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

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-l_binary64`
700×	`fma-def_binary64`
671×	`associate-r_binary64`
299×	`associate-+l+_binary64`
264×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	748
1	243	715
2	965	632

Stop Event

1×	node limit

Counts

107 → 101

Calls

Call 1

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

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

prune129.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	122	5	127

Error

0.1b

Counts

127 → 5

Alt Table

Status	Error	Program
✓	1.1b	(.f64 (exp.f64 (neg.f64 w)) (.f64 l (fma.f64 (log.f64 l) w 1)))
	4.0b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (.f64 (pow.f64 l 1/6) (.f64 (pow.f64 l 1/6) (cbrt.f64 l))) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w))))
	4.8b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 l 1/6) 2) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w))))
	1.9b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (cbrt.f64 l))) 2) (exp.f64 w)) (pow.f64 (cbrt.f64 l) (exp.f64 w))))
	7.7b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 l (.f64 w (+.f64 (log.f64 l) (.f64 w (.f64 (log.f64 l) (+.f64 1/2 (*.f64 (log.f64 l) 1/2)))))) l))

Compiler

Compiled 3014 to 1388 computations (53.9% saved)

regimes76.0ms (0.7%)

Accuracy

Total -11.9b remaining (-4310.2%)

Threshold costs -11.9b (-4310.2%)

Counts

44 → 1

Compiler

Compiled 630 to 240 computations (61.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	19	13
3	20	13

Stop Event

1×

saturated

Calls

Call 1

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

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

end67.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 121 to 58 computations (52.1% saved)

Details

analyze768.0ms (7.2%)

sample8.8s (82.2%)

preprocess48.0ms (0.5%)

simplify44.0ms (0.4%)

prune8.0ms (0.1%)

localize6.0ms (0.1%)

series62.0ms (0.6%)

rewrite40.0ms (0.4%)

simplify34.0ms (0.3%)

prune51.0ms (0.5%)

localize7.0ms (0.1%)

series42.0ms (0.4%)

rewrite43.0ms (0.4%)

simplify28.0ms (0.3%)

prune121.0ms (1.1%)

localize8.0ms (0.1%)

series16.0ms (0.1%)

rewrite49.0ms (0.5%)

simplify33.0ms (0.3%)

prune69.0ms (0.6%)

localize10.0ms (0.1%)

series57.0ms (0.5%)

rewrite50.0ms (0.5%)

simplify31.0ms (0.3%)

prune129.0ms (1.2%)

regimes76.0ms (0.7%)

simplify2.0ms (0%)

end67.0ms (0.6%)

Profiling