Details

analyze1.2s (25.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
6.2%	92%	1.8%	9
8.2%	90.1%	1.8%	10
13.3%	84.2%	2.5%	11
16.2%	74.7%	9.2%	12
19.7%	60.8%	19.5%	13
22.5%	57.8%	19.7%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.9s (42.3%)

Results

1.0s	8256×	body	128	valid
819.0ms	6452×	body	128	invalid

preprocess18.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

12×	`*-commutative_binary64`
12×	`associate-/r*_binary64`
1×	`swap-V-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	84
1	56	84
2	64	84
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3
2

Call 2

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 A (sqrt.f64 (/.f64 c0 (.f64 V l))))
(.f64 V (sqrt.f64 (/.f64 A (.f64 c0 l))))
(.f64 l (sqrt.f64 (/.f64 A (.f64 V c0))))
(.f64 c0 (sqrt.f64 (/.f64 V (.f64 A l))))
(.f64 c0 (sqrt.f64 (/.f64 l (.f64 V A))))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))

Outputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 A (sqrt.f64 (/.f64 c0 (.f64 V l))))
(.f64 V (sqrt.f64 (/.f64 A (.f64 c0 l))))
(.f64 l (sqrt.f64 (/.f64 A (.f64 V c0))))
(.f64 l (sqrt.f64 (/.f64 A (.f64 c0 V))))
(.f64 c0 (sqrt.f64 (/.f64 V (.f64 A l))))
(.f64 c0 (sqrt.f64 (/.f64 l (.f64 V A))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 l V) A)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Symmetry

(sort V l)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	15	12

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Outputs
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

19.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	19.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	4.9b	(/.f64 A (*.f64 V l))
✓	14.6b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series26.0ms (0.6%)

Counts

3 → 12

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	A	@	0	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
1.0ms	A	@	0	(sqrt.f64 (/.f64 A (*.f64 V l)))
1.0ms	A	@	inf	(/.f64 A (*.f64 V l))
1.0ms	c0	@	0	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
1.0ms	l	@	0	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`log1p-expm1-u_binary64`
914×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`
93×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	185	28
2	2455	28

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 A (*.f64 V l)))
(/.f64 A (*.f64 V l))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 A) (pow.f64 (/.f64 1 (.f64 V l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (.f64 V l)) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 A (/.f64 1 (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 A) 2) (.f64 (cbrt.f64 A) (/.f64 1 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 A) (.f64 (sqrt.f64 A) (/.f64 1 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 A) (/.f64 1 (.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 V l)) A)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 A V) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (/.f64 (/.f64 A V) l) 1/4)) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 V) (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) V) (/.f64 (cbrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 A) V) (/.f64 (sqrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 A) l) (/.f64 (sqrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 l) (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) 1) (/.f64 (cbrt.f64 A) (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 A) 1) (/.f64 (sqrt.f64 A) (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 V l)) 2)) (/.f64 A (cbrt.f64 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (pow.f64 (cbrt.f64 (.f64 V l)) 2)) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 A) (pow.f64 (cbrt.f64 (.f64 V l)) 2)) (/.f64 (sqrt.f64 A) (cbrt.f64 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 V l))) (/.f64 A (sqrt.f64 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (sqrt.f64 (.f64 V l))) (/.f64 (cbrt.f64 A) (sqrt.f64 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (/.f64 (/.f64 A V) l))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (/.f64 A V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 A (.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3) (pow.f64 (.f64 V l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 A V) l)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) (pow.f64 c0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) (pow.f64 c0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))))

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	144
1	13	144
2	15	144

Stop Event

1×

saturated

Counts

106 → 95

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)

Outputs
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)

prune115.0ms (2.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	82	13	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	14	96

Error

4.3b

Counts

96 → 14

Alt Table

Status	Error	Program
	47.8b	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) (pow.f64 c0 3)))
	36.5b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
	41.3b	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))
	39.0b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	56.5b	(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
▶	19.2b	(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
	19.7b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
	19.3b	(.f64 c0 (.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4)))
✓	19.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	21.2b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	24.7b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	47.1b	(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
	39.5b	(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
	24.1b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (cbrt.f64 (/.f64 (/.f64 A V) l)))))

Compiler

Compiled 1611 to 732 computations (54.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))
✓	2.0b	(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
✓	4.0b	(/.f64 l (/.f64 A V))
✓	15.2b	(sqrt.f64 (/.f64 l (/.f64 A V)))

series28.0ms (0.6%)

Counts

4 → 48

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	A	@	inf	(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))
2.0ms	V	@	-inf	(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))
1.0ms	l	@	0	(sqrt.f64 (/.f64 l (/.f64 A V)))
1.0ms	V	@	-inf	(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
1.0ms	A	@	-inf	(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`log-prod_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
178×	`log-pow_binary64`
163×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	233	37
2	3148	37

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 l (/.f64 A V)))
(/.f64 l (/.f64 A V))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 l V))))) (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 l V))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 l V)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (.f64 V (/.f64 l A))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 c0) 2) (/.f64 (sqrt.f64 (.f64 V (/.f64 l A))) (cbrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c0) (/.f64 (sqrt.f64 (.f64 V (/.f64 l A))) (sqrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 (.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (pow.f64 (.f64 V (/.f64 l A)) 1/4)) (pow.f64 (.f64 V (/.f64 l A)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 1) (sqrt.f64 (.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (cbrt.f64 (.f64 V (/.f64 l A)))) (cbrt.f64 (sqrt.f64 (.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 c0) (neg.f64 (sqrt.f64 (.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c0 -1) (neg.f64 (sqrt.f64 (.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 c0 c0) (/.f64 A (.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (.f64 V (/.f64 l A)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 c0 3) (pow.f64 (sqrt.f64 (/.f64 A (.f64 l V))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 A (.f64 l V))) 3) (pow.f64 c0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 l V))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 l V))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 l V))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 l V)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (.f64 l V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 A (.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 A (.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 l V)))) (cbrt.f64 (/.f64 A (.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 A (.f64 l V))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 l V)))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 V (/.f64 l A))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 V (/.f64 l A)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 V (/.f64 l A)) 1/4) -1) (pow.f64 (pow.f64 (.f64 V (/.f64 l A)) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 V (/.f64 l A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 V (/.f64 l A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 A (.f64 l V))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 l V)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 l V)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 A (.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 A (.f64 l V))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 V (/.f64 l A)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 l V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`associate-/r*_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	396
1	16	396
2	20	396
3	23	396
4	24	396

Stop Event

1×

saturated

Counts

196 → 152

Calls

Call 1

Inputs
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)

Outputs
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)

prune116.0ms (2.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	4	8	12
Picked	1	0	1
Done	0	1	1
Total	154	12	166

Error

2.7b

Counts

166 → 12

Alt Table

Status	Error	Program
	49.2b	(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 (neg.f64 A) V)))))
	24.1b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (cbrt.f64 (/.f64 (/.f64 A V) l)))))
✓	19.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	24.5b	(.f64 c0 (/.f64 1 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
	24.7b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	36.5b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
	39.0b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	56.5b	(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
	47.1b	(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
▶	19.7b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
	39.5b	(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
	21.5b	(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))

Compiler

Compiled 2499 to 1083 computations (56.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
✓	4.2b	(/.f64 (/.f64 A V) l)
✓	5.9b	(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
✓	14.6b	(sqrt.f64 (/.f64 (/.f64 A V) l))

series130.0ms (2.9%)

Counts

4 → 72

Calls

42 calls:

Time	Variable		Point	Expression
40.0ms	A	@	0	(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
17.0ms	V	@	0	(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
15.0ms	l	@	0	(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
11.0ms	l	@	inf	(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
7.0ms	A	@	inf	(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`log-prod_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
169×	`log-pow_binary64`
142×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	210	42
2	2851	42

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (/.f64 A V) l))
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))
(/.f64 (/.f64 A V) l)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 A (.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 A (.f64 V l))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (cbrt.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 A (.f64 V l)) 1/4) (pow.f64 (/.f64 A (.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 A V)) (pow.f64 (/.f64 1 l) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 A V)) (/.f64 1 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 A (.f64 V l))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 A (.f64 V l))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 A (.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 A (.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 A (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 A (.f64 V l)))) (cbrt.f64 (exp.f64 (/.f64 A (.f64 V l)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 A (/.f64 1 (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 A (.f64 (/.f64 1 V) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 A V) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 A (.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 A (.f64 V l))) (sqrt.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 A (.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (pow.f64 (/.f64 A (.f64 V l)) 1/4)) (pow.f64 (/.f64 A (.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 A A)) l) (/.f64 (cbrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 A) l) (/.f64 (sqrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) 1) (/.f64 (cbrt.f64 (/.f64 A V)) l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 A V)) 1) (/.f64 (sqrt.f64 (/.f64 A V)) l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 A (cbrt.f64 (.f64 l l))) (/.f64 (/.f64 1 V) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 l l))) (/.f64 (/.f64 A V) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (cbrt.f64 (.f64 l l))) (cbrt.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 A V)) (cbrt.f64 (.f64 l l))) (/.f64 (sqrt.f64 (/.f64 A V)) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 A (sqrt.f64 l)) (/.f64 (/.f64 1 V) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 l)) (/.f64 (/.f64 A V) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (sqrt.f64 l)) (/.f64 (cbrt.f64 (/.f64 A V)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (cbrt.f64 (/.f64 A (.f64 V l)))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (.f64 V l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (.f64 V l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (.f64 V l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (.f64 V l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l (/.f64 V A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 A V) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 A (.f64 V l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (.f64 V l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A V) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 A (.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 V l))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l))))) (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (/.f64 A (.f64 V l)) (.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 A (.f64 V l)) 3/2) (pow.f64 c0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 c0 3) (pow.f64 (/.f64 A (.f64 V l)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

578×	`unswap-sqr_binary64`
358×	`fma-def_binary64`
353×	`fma-neg_binary64`
202×	`*-commutative_binary64`
128×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	948
1	133	900
2	308	828
3	836	756
4	1947	756
5	4554	756

Stop Event

1×	node limit

Counts

201 → 140

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) (pow.f64 c0 1/3))
(.f64 (pow.f64 c0 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 V l))) (.f64 -1 (log.f64 (/.f64 1 A)))))))
(.f64 (pow.f64 c0 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 V l))) (.f64 -1 (log.f64 (/.f64 1 A)))))))
(.f64 (pow.f64 c0 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 V l))) (.f64 -1 (log.f64 (/.f64 1 A)))))))
(.f64 (pow.f64 c0 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 V l))) (.f64 -1 (log.f64 (/.f64 1 A)))))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 c0 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 c0 1/3))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(/.f64 A (*.f64 V l))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)

Outputs
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) (pow.f64 c0 1/3))
(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
(.f64 (cbrt.f64 c0) (pow.f64 (.f64 l (/.f64 V A)) -1/6))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) (pow.f64 c0 1/3))
(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
(.f64 (cbrt.f64 c0) (pow.f64 (.f64 l (/.f64 V A)) -1/6))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) (pow.f64 c0 1/3))
(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
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(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
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(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
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(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
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(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
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(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) (pow.f64 c0 1/3))
(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
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(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) (pow.f64 c0 1/3))
(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
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(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
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(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
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(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) (pow.f64 c0 1/3))
(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
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(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
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(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
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(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
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(.f64 (cbrt.f64 c0) (pow.f64 (.f64 l (/.f64 V A)) -1/6))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) (pow.f64 c0 1/3))
(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
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(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
(.f64 (cbrt.f64 c0) (pow.f64 (.f64 l (/.f64 V A)) -1/6))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 c0 1/3))
(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 V l))) (log.f64 A))) (cbrt.f64 c0))
(.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (.f64 V l)))) (cbrt.f64 c0))
(.f64 (pow.f64 V -1/6) (.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 c0)))
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))
(.f64 (cbrt.f64 c0) (pow.f64 (.f64 l (/.f64 V A)) -1/6))
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(/.f64 A (*.f64 V l))
(/.f64 (/.f64 A l) V)
(/.f64 (/.f64 A V) l)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))

prune81.0ms (1.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	140	12	152

Error

2.7b

Counts

152 → 12

Alt Table

Status	Error	Program
	49.2b	(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 (neg.f64 A) V)))))
	24.1b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (cbrt.f64 (/.f64 (/.f64 A V) l)))))
✓	19.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	24.5b	(.f64 c0 (/.f64 1 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
	24.7b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	36.5b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
	39.0b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	56.5b	(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
	47.1b	(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
✓	19.7b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
	39.5b	(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
▶	21.5b	(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))

Compiler

Compiled 2633 to 1249 computations (52.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.0b	(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
✓	6.0b	(*.f64 V (/.f64 l A))
✓	15.2b	(sqrt.f64 (*.f64 V (/.f64 l A)))

series11.0ms (0.2%)

Counts

3 → 48

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	A	@	-inf	(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
0.0ms	V	@	0	(sqrt.f64 (*.f64 V (/.f64 l A)))
0.0ms	V	@	-inf	(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
0.0ms	l	@	-inf	(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
0.0ms	l	@	inf	(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))

rewrite47.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`log-prod_binary64`
182×	`pow1/3_binary64`
176×	`expm1-udef_binary64`
176×	`log1p-udef_binary64`
166×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	191	28
2	2609	28

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 V (/.f64 l A)))
(*.f64 V (/.f64 l A))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule 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1) (/.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 V l) A))) (/.f64 c0 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (/.f64 (*.f64 V l) A))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (/.f64 (*.f64 V l) A))) (/.f64 (sqrt.f64 c0) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (sqrt.f64 V)) (/.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (sqrt.f64 V)) (/.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (/.f64 (*.f64 V l) A) 1/4)) (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (/.f64 (*.f64 V l) A) 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (*.f64 V l) A) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (*.f64 V l) A) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (*.f64 V l) A) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))))

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`associate-/r*_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	396
1	16	396
2	20	396
3	23	396
4	24	396

Stop Event

1×

saturated

Counts

149 → 104

Calls

Call 1

Inputs
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(/.f64 (*.f64 V l) A)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)

Outputs
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 (/.f64 l A) V)
(/.f64 l (/.f64 A V))
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)

prune68.0ms (1.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	103	13	116

Error

2.7b

Counts

116 → 13

Alt Table

Status	Error	Program
✓	19.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	24.5b	(.f64 c0 (/.f64 1 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
	24.7b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	36.5b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
	39.0b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	56.5b	(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
✓	19.7b	(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
	39.5b	(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
✓	21.5b	(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
	49.2b	(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 (neg.f64 A) V)))))
	20.0b	(.f64 c0 (pow.f64 (/.f64 (.f64 V l) A) -1/2))
	39.0b	(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
	19.1b	(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))

Compiler

Compiled 1512 to 563 computations (62.8% saved)

regimes401.0ms (9%)

Accuracy

Total -58.3b remaining (-1031.1%)

Threshold costs -58.3b (-1031.1%)

Counts

39 → 4

Calls

Call 1

Inputs
(.f64 c0 (pow.f64 (/.f64 (.f64 V l) A) -1/2))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (*.f64 V l) A) 3/2)))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 (neg.f64 A) V)))))
(.f64 c0 (/.f64 1 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) (pow.f64 c0 3)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)
(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 V l)))
(.f64 c0 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 A 3) (pow.f64 (.f64 V l) 3)))))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (cbrt.f64 (/.f64 (/.f64 A V) l)))))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 A V) (/.f64 1 l))))
(.f64 c0 (sqrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (sqrt.f64 (/.f64 (/.f64 A V) l))))))
(.f64 c0 (sqrt.f64 (.f64 A (/.f64 1 (*.f64 V l)))))
(*.f64 c0 (exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(*.f64 c0 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(.f64 c0 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)))))
(.f64 c0 (.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4)))
(.f64 c0 (.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l)))))
(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
(.f64 c0 (.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))
(.f64 c0 (.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1))
(*.f64 c0 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Outputs
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
(.f64 c0 (/.f64 1 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))

Results

34.0ms	17.9b	`c0`
36.0ms	9.9b	`A`
48.0ms	16.2b	`V`
35.0ms	9.5b	`l`
50.0ms	11.1b	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
32.0ms	10.3b	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
33.0ms	10.3b	`(/.f64 A (*.f64 V l))`
52.0ms	5.7b	`(*.f64 V l)`
66.0ms	5.7b	`(*.f64 V l)`

Compiler

Compiled 505 to 224 computations (55.6% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Calls

3 calls:

0.0ms	(*.f64 V l)
0.0ms	(*.f64 V l)
0.0ms	(*.f64 V l)

Steps

Iters	Point		Range
-0.0	∈ [	-0.0	,	2.3627098792795523e-300	]
-5e-304	∈ [	-6.3862150987659484e-304	,	-7.03863315080033e-306	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-7.985057474891464e+300	]

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	90
1	53	90
2	62	90
3	68	90
4	71	90
5	72	90

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -6176826577981891/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))

Outputs

(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -6176826577981891/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))

end63.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 248 to 144 computations (41.9% saved)

Details

analyze1.2s (25.9%)

sample1.9s (42.3%)

preprocess18.0ms (0.4%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.2%)

series26.0ms (0.6%)

rewrite56.0ms (1.3%)

simplify8.0ms (0.2%)

prune115.0ms (2.6%)

localize7.0ms (0.2%)

series28.0ms (0.6%)

rewrite63.0ms (1.4%)

simplify19.0ms (0.4%)

prune116.0ms (2.6%)

localize9.0ms (0.2%)

series130.0ms (2.9%)

rewrite62.0ms (1.4%)

simplify51.0ms (1.1%)

prune81.0ms (1.8%)

localize7.0ms (0.2%)

series11.0ms (0.2%)

rewrite47.0ms (1.1%)

simplify16.0ms (0.4%)

prune68.0ms (1.5%)

regimes401.0ms (9%)

bsearch1.0ms (0%)

simplify5.0ms (0.1%)

end63.0ms (1.4%)

Profiling