Details

analyze463.0ms (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
3.1%	3.1%	96.7%	0.2%	0%	0%	0%	8
6.3%	6.2%	92%	0.2%	0%	1.6%	0%	9
8.3%	8.2%	90.1%	0.2%	0%	1.6%	0%	10
13.6%	13.3%	84.2%	0.2%	0%	2.3%	0%	11
17.8%	16.2%	74.7%	0.2%	0%	9%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.2s (15.7%)

Results

1.1s	8256×	body	256	valid
918.0ms	7466×	body	256	invalid
147.0ms	991×	body	256	infinite

Bogosity

preprocess18.0ms (0.1%)

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 16 to 12 computations (25% saved)

simplify7.0ms (0%)

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))))

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (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

19.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.1b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	16.9b	(sqrt.f64 (/.f64 A (*.f64 V l)))
	4.2b	(/.f64 A (*.f64 V l))
	1.0b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	1.0b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	4.2b	(/.f64 A (*.f64 V l))
✓	16.9b	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series38.0ms (0.3%)

Counts

3 → 12

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	c0	@	inf	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
2.0ms	V	@	-inf	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
2.0ms	c0	@	0	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
2.0ms	V	@	-inf	(/.f64 A (*.f64 V l))
2.0ms	A	@	-inf	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

989×	`pow1_binary64`
914×	`add-log-exp_binary64`
914×	`log1p-expm1-u_binary64`
914×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	185	28
2	2456	28

Stop Event

1×	node limit

Counts

3 → 90

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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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)))))))

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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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)))))))

simplify27.0ms (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

102 → 91

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)

eval33.0ms (0.2%)

Compiler: Compiled 1148 to 426 computations (62.9% saved)

prune58.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	76	15	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	16	92

Error

3.6b

Counts

92 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.5b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
▶	21.4b	(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
	49.7b	(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
✓	19.1b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	42.7b	(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)
▶	19.4b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
▶	35.7b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	19.5b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 V l)) 2)) (/.f64 A (cbrt.f64 (.f64 V l))))))
	49.9b	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) (pow.f64 c0 3)))
▶	36.0b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	56.5b	(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))
	26.3b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	39.1b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
	36.3b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	21.4b	(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
	27.3b	(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))

Compiler

Compiled 450 to 316 computations (29.8% saved)

localize34.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	16.9b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))
	4.5b	(*.f64 (/.f64 1 V) (/.f64 A l))
	1.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
✓	1.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
✓	4.5b	(*.f64 (/.f64 1 V) (/.f64 A l))
✓	16.9b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

Compiler

Compiled 40 to 20 computations (50% saved)

series24.0ms (0.2%)

Counts

3 → 48

Calls

30 calls:

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

rewrite114.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
422×	`pow-prod-down_binary64`
286×	`pow2_binary64`
228×	`pow-unpow_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	227	28
2	2969	28

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

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

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

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

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

simplify25.0ms (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	396
1	13	396
2	15	396

Stop Event

1×

saturated

Counts

175 → 128

Calls

Call 1

Inputs
(/.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 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)

localize31.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	16.9b	(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
	6.4b	(/.f64 (/.f64 A V) l)
	1.0b	(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
✓	1.0b	(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
✓	6.4b	(/.f64 (/.f64 A V) l)
✓	16.9b	(pow.f64 (/.f64 (/.f64 A V) l) 1/2)

Compiler

Compiled 33 to 12 computations (63.6% saved)

series26.0ms (0.2%)

Counts

3 → 48

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	A	@	0	(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
2.0ms	V	@	-inf	(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
2.0ms	c0	@	0	(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
1.0ms	l	@	-inf	(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
1.0ms	l	@	-inf	(pow.f64 (/.f64 (/.f64 A V) l) 1/2)

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
418×	`exp-prod_binary64`
359×	`pow-prod-down_binary64`
280×	`pow2_binary64`
196×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	217	28
2	2844	28

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(pow.f64 (/.f64 (/.f64 A V) l) 1/2)
(/.f64 (/.f64 A V) l)
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))

Outputs

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

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

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

simplify27.0ms (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	396
1	13	396
2	15	396

Stop Event

1×

saturated

Counts

166 → 120

Calls

Call 1

Inputs
(/.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 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)

localize71.0ms (0.5%)

Local error

Found 6 expressions with local error:

New	Error	Program
	16.9b	(sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 A V)))
	6.4b	(*.f64 (/.f64 1 l) (/.f64 A V))
	1.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
✓	1.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
✓	6.4b	(*.f64 (/.f64 1 l) (/.f64 A V))
✓	16.9b	(sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 A V)))

Compiler

Compiled 40 to 20 computations (50% saved)

series19.0ms (0.1%)

Counts

3 → 48

Calls

30 calls:

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

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary64`
422×	`pow-prod-down_binary64`
286×	`pow2_binary64`
228×	`pow-unpow_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	227	28
2	2969	28

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

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

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

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

simplify13.0ms (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	396
1	13	396
2	15	396

Stop Event

1×

saturated

Counts

175 → 129

Calls

Call 1

Inputs
(/.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 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)

localize20.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	9.3b	(sqrt.f64 (*.f64 V l))
	0.8b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	0.2b	(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
✓	0.2b	(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))
✓	0.8b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
✓	9.3b	(sqrt.f64 (*.f64 V l))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series16.0ms (0.1%)

Counts

3 → 12

Calls

27 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
409×	`exp-prod_binary64`
371×	`pow-prod-down_binary64`
262×	`pow2_binary64`
227×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	206	27
2	2678	27

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

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

((#(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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (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 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 c0 (sqrt.f64 A))))))) (#(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 /.f64 (neg.f64 (*.f64 c0 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) 1) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (cbrt.f64 (*.f64 V l))) (pow.f64 (*.f64 V l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (pow.f64 (*.f64 V l) 1/4)) (pow.f64 (*.f64 V l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(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 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))) 1/2)))) (#(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 (exp.f64 1) (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 c0 (sqrt.f64 A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 2)) (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))))))) (#(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 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 expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 1) 1))))))

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

simplify13.0ms (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	144
1	13	144
2	15	144

Stop Event

1×

saturated

Counts

136 → 125

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)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	10.7b	(sqrt.f64 (/.f64 1 (*.f64 V l)))
	0.8b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	0.6b	(/.f64 1 (*.f64 V l))
	0.2b	(.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (.f64 V l))))
✓	0.2b	(.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (.f64 V l))))
✓	0.6b	(/.f64 1 (*.f64 V l))
✓	0.8b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
✓	10.7b	(sqrt.f64 (/.f64 1 (*.f64 V l)))

Compiler

Compiled 45 to 21 computations (53.3% saved)

series19.0ms (0.1%)

Counts

4 → 12

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	V	@	0	(sqrt.f64 (/.f64 1 (*.f64 V l)))
1.0ms	l	@	0	(sqrt.f64 (/.f64 1 (*.f64 V l)))
1.0ms	V	@	-inf	(sqrt.f64 (/.f64 1 (*.f64 V l)))
1.0ms	V	@	inf	(sqrt.f64 (/.f64 1 (*.f64 V l)))
1.0ms	l	@	-inf	(sqrt.f64 (/.f64 1 (*.f64 V l)))

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
450×	`pow-prod-down_binary64`
427×	`exp-prod_binary64`
290×	`pow2_binary64`
231×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	241	35
2	2896	35

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 V l) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 V l) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 V l) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 V l) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 V l) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 V l) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 V -1) l)) (pow.f64 (.f64 V l) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 V l) -1/6) (cbrt.f64 (/.f64 (pow.f64 V -1) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 V l) -1/4) (pow.f64 (.f64 V l) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (.f64 V l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 V (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 V -1)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 V l) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 V -1) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 V l) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (pow.f64 (.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 V l) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 V l) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 V l) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 V l) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 V l)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 V -1) l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 V l) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 V l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 V l) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (neg.f64 (log.f64 (.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 V l)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (.f64 V l) -1/2))) 2)) (cbrt.f64 (log.f64 (pow.f64 (.f64 V l) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (.f64 V l) -1/2)))) (sqrt.f64 (log.f64 (pow.f64 (.f64 V l) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 V l) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 V l) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 V l) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 V l)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 V l) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 V l) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 V l))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 V l) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 V l)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 V l)) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (.f64 V l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (.f64 V l))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 V l) -1/2)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))) 1)))) (#(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 /.f64 (.f64 (.f64 c0 (sqrt.f64 A)) 1) (sqrt.f64 (.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 A (.f64 V l)) (.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))) 2)) (cbrt.f64 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))))) (sqrt.f64 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))))))) (#(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 (sqrt.f64 (/.f64 A (.f64 V l)))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1) 1))))))
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simplify10.0ms (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	144
1	13	144
2	15	144

Stop Event

1×

saturated

Counts

166 → 155

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)

eval139.0ms (1%)

Compiler: Compiled 8451 to 3240 computations (61.7% saved)

prune131.0ms (0.9%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	637	20	657
Fresh	9	1	10
Picked	1	0	1
Done	1	4	5
Total	648	25	673

Error

0.8b

Counts

673 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	48.3b	(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))
	26.3b	(.f64 c0 (.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
	56.6b	(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
▶	19.5b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
✓	21.5b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
	50.5b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
	36.3b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
✓	19.1b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	50.1b	(sqrt.f64 (.f64 (/.f64 A (.f64 V l)) (*.f64 c0 c0)))
✓	19.4b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
✓	35.7b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	19.8b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)) 3)
	46.9b	(.f64 c0 (/.f64 (sqrt.f64 A) (.f64 (sqrt.f64 l) (sqrt.f64 V))))
	42.6b	(.f64 c0 (/.f64 (sqrt.f64 A) (cbrt.f64 (pow.f64 (.f64 V l) 3/2))))
	35.7b	(.f64 c0 (.f64 (sqrt.f64 A) (pow.f64 (/.f64 (pow.f64 V -1) l) 1/2)))
	21.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	26.3b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	19.3b	(.f64 c0 (pow.f64 (pow.f64 (/.f64 A (.f64 V l)) 1/4) 2))
	49.5b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
▶	19.0b	(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
▶	19.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
▶	39.1b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
	21.3b	(.f64 c0 (/.f64 1 (sqrt.f64 (.f64 l (/.f64 V A)))))
	19.1b	(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 1 V)))))
▶	46.9b	(.f64 c0 (.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l))))

Compiler

Compiled 639 to 453 computations (29.1% saved)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	17.0b	(sqrt.f64 (/.f64 (*.f64 V l) A))
	4.3b	(/.f64 (*.f64 V l) A)
	0.8b	(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
✓	0.8b	(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
✓	4.3b	(/.f64 (*.f64 V l) A)
✓	17.0b	(sqrt.f64 (/.f64 (*.f64 V l) A))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series17.0ms (0.1%)

Counts

3 → 12

Calls

30 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
410×	`exp-prod_binary64`
335×	`pow-prod-down_binary64`
257×	`pow2_binary64`
186×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	191	28
2	2665	28

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (*.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) 1) (/.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 V (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (/.f64 V (/.f64 A l)))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (/.f64 V (/.f64 A l)))) (/.f64 (sqrt.f64 c0) (pow.f64 (/.f64 V (/.f64 A l)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 V (/.f64 A l)) -1/4) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (/.f64 V (/.f64 A l)) 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (/.f64 V (/.f64 A l)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (*.f64 V l))) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A l) V) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A l) V) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (log.f64 (sqrt.f64 (/.f64 V (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (/.f64 V (/.f64 A l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (/.f64 V (/.f64 A l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))) 1)))))))

simplify10.0ms (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	144
1	13	144
2	15	144

Stop Event

1×

saturated

Counts

181 → 170

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)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	16.9b	(sqrt.f64 (/.f64 (/.f64 A l) V))
	4.4b	(/.f64 (/.f64 A l) V)
	1.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
✓	1.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
✓	4.4b	(/.f64 (/.f64 A l) V)
✓	16.9b	(sqrt.f64 (/.f64 (/.f64 A l) V))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series10.0ms (0.1%)

Counts

3 → 48

Calls

30 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
398×	`exp-prod_binary64`
362×	`pow-prod-down_binary64`
257×	`pow2_binary64`
185×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	191	28
2	2648	28

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

Outputs

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

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

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

simplify13.0ms (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	396
1	13	396
2	15	396

Stop Event

1×

saturated

Counts

188 → 142

Calls

Call 1

Inputs
(/.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 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)

localize15.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	16.9b	(sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A)))
	4.7b	(/.f64 (/.f64 1 V) (/.f64 l A))
	1.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
✓	1.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
✓	4.7b	(/.f64 (/.f64 1 V) (/.f64 l A))
✓	16.9b	(sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A)))

Compiler

Compiled 40 to 20 computations (50% saved)

series11.0ms (0.1%)

Counts

3 → 48

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	V	@	inf	(/.f64 (/.f64 1 V) (/.f64 l A))
0.0ms	l	@	-inf	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
0.0ms	V	@	0	(sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A)))
0.0ms	l	@	-inf	(sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A)))
0.0ms	V	@	-inf	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
390×	`pow-prod-down_binary64`
293×	`pow2_binary64`
212×	`pow-unpow_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	232	28
2	3146	28

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify14.0ms (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	396
1	13	396
2	15	396

Stop Event

1×

saturated

Counts

169 → 123

Calls

Call 1

Inputs
(/.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 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)

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	8.9b	(sqrt.f64 (*.f64 l (neg.f64 V)))
	0.2b	(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))
	0.1b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
✓	0.1b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
✓	0.2b	(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))
✓	8.9b	(sqrt.f64 (*.f64 l (neg.f64 V)))

Compiler

Compiled 44 to 11 computations (75% saved)

series13.0ms (0.1%)

Counts

3 → 12

Calls

27 calls:

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

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary64`
375×	`pow-prod-down_binary64`
281×	`pow-unpow_binary64`
268×	`pow2_binary64`
191×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	252	27
2	3425	27

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (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 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) 1) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (cbrt.f64 (*.f64 l V))) (pow.f64 (*.f64 l V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 l)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) 1/4)) (pow.f64 (*.f64 l V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0)) -1)))) (#(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 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 2))))))

simplify37.0ms (0.3%)

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

121 → 110

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)

localize92.0ms (0.7%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.8b	(.f64 c0 (.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l))))
	0.1b	(*.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))
	0.1b	(/.f64 (sqrt.f64 A) (sqrt.f64 l))
✓	0.1b	(/.f64 (sqrt.f64 A) (sqrt.f64 l))
✓	0.1b	(*.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))
✓	0.8b	(.f64 c0 (.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l))))

Compiler

Compiled 41 to 17 computations (58.5% saved)

series41.0ms (0.3%)

Counts

3 → 12

Calls

27 calls:

Time	Variable		Point	Expression
28.0ms	l	@	inf	(/.f64 (sqrt.f64 A) (sqrt.f64 l))
1.0ms	l	@	-inf	(/.f64 (sqrt.f64 A) (sqrt.f64 l))
1.0ms	l	@	0	(/.f64 (sqrt.f64 A) (sqrt.f64 l))
1.0ms	A	@	-inf	(/.f64 (sqrt.f64 A) (sqrt.f64 l))
1.0ms	V	@	-inf	(.f64 c0 (.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l))))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`log-prod_binary64`
429×	`pow-prod-down_binary64`
318×	`pow2_binary64`
274×	`pow-unpow_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	254	33
2	3173	33

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(.f64 c0 (.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l))))
(*.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))
(/.f64 (sqrt.f64 A) (sqrt.f64 l))

Outputs

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

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

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

simplify10.0ms (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	144
1	13	144
2	15	144

Stop Event

1×

saturated

Counts

112 → 101

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)

eval154.0ms (1.1%)

Compiler: Compiled 8491 to 3360 computations (60.4% saved)

prune178.0ms (1.3%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	632	14	646
Fresh	10	6	16
Picked	1	0	1
Done	1	7	8
Total	644	27	671

Error

0.2b

Counts

671 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	48.3b	(/.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V)) (sqrt.f64 l))
▶	26.3b	(.f64 c0 (.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
✓	21.5b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
	50.5b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
	47.4b	(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 l)) (sqrt.f64 V))
✓	39.1b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
	35.8b	(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
✓	19.4b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
✓	35.7b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
▶	36.3b	(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 l V)))
	19.6b	(pow.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) c0) -1)
	25.2b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 -1 V)) (sqrt.f64 (/.f64 (neg.f64 l) A))))
	21.3b	(.f64 c0 (/.f64 1 (sqrt.f64 (.f64 l (/.f64 V A)))))
	49.5b	(*.f64 c0 (/.f64 (pow.f64 V -1/2) (sqrt.f64 (/.f64 l A))))
✓	19.0b	(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
	25.5b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
	19.5b	(.f64 c0 (pow.f64 (.f64 V (/.f64 l A)) -1/2))
	49.6b	(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
▶	19.0b	(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
✓	19.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
▶	21.2b	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
▶	21.2b	(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
	19.6b	(*.f64 (pow.f64 (/.f64 V (/.f64 A l)) -1/4) (/.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) 1/4)))
✓	19.1b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	19.4b	(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
	19.1b	(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 1 V)))))
	26.3b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))

Compiler

Compiled 658 to 460 computations (30.1% saved)

localize31.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	17.0b	(sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A)))
	4.3b	(.f64 (.f64 V l) (/.f64 1 A))
	0.8b	(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
✓	0.8b	(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
✓	4.3b	(.f64 (.f64 V l) (/.f64 1 A))
✓	17.0b	(sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A)))

Compiler

Compiled 40 to 20 computations (50% saved)

series21.0ms (0.2%)

Counts

3 → 48

Calls

30 calls:

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

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary64`
445×	`exp-prod_binary64`
382×	`pow-prod-down_binary64`
282×	`pow2_binary64`
240×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	227	28
2	2919	28

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) (cbrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (pow.f64 (*.f64 V (/.f64 l A)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (*.f64 (sqrt.f64 c0) (pow.f64 (*.f64 V (/.f64 l A)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/2) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) 1) (/.f64 (cbrt.f64 c0) (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 V (/.f64 l A)))) (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (*.f64 V (/.f64 l A)))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (*.f64 V (/.f64 l A)))) (/.f64 (sqrt.f64 c0) (pow.f64 (*.f64 V (/.f64 l A)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4) (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (*.f64 V (/.f64 l A)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/2) (/.f64 c0 (pow.f64 A -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (sqrt.f64 (*.f64 V l))) (/.f64 (cbrt.f64 c0) (pow.f64 A -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (sqrt.f64 (*.f64 V l))) (/.f64 (sqrt.f64 c0) (pow.f64 A -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 V (/.f64 l A)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 2)) (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 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 expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 1) 1))))))

simplify37.0ms (0.3%)

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

183 → 138

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 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(.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)

localize22.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	17.0b	(sqrt.f64 (*.f64 (/.f64 V A) l))
	6.4b	(*.f64 (/.f64 V A) l)
	0.8b	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
✓	0.8b	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
✓	6.4b	(*.f64 (/.f64 V A) l)
✓	17.0b	(sqrt.f64 (*.f64 (/.f64 V A) l))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series24.0ms (0.2%)

Counts

3 → 48

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	l	@	inf	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
1.0ms	V	@	-inf	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
1.0ms	l	@	-inf	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
1.0ms	A	@	-inf	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
1.0ms	A	@	-inf	(sqrt.f64 (*.f64 (/.f64 V A) l))

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`log-prod_binary64`
402×	`exp-prod_binary64`
331×	`pow-prod-down_binary64`
257×	`pow2_binary64`
201×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	191	28
2	2613	28

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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

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

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

simplify35.0ms (0.3%)

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

185 → 140

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 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(/.f64 (*.f64 V l) A)
(/.f64 V (/.f64 A l))
(*.f64 (/.f64 V A) l)
(*.f64 l (/.f64 V A))
(.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)

localize35.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	17.0b	(sqrt.f64 (.f64 l (.f64 V (/.f64 1 A))))
	6.4b	(.f64 l (.f64 V (/.f64 1 A)))
	0.8b	(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
	0.2b	(*.f64 V (/.f64 1 A))
✓	0.2b	(*.f64 V (/.f64 1 A))
✓	0.8b	(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
✓	6.4b	(.f64 l (.f64 V (/.f64 1 A)))
✓	17.0b	(sqrt.f64 (.f64 l (.f64 V (/.f64 1 A))))

Compiler

Compiled 42 to 25 computations (40.5% saved)

series27.0ms (0.2%)

Counts

4 → 72

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	A	@	-inf	(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
3.0ms	V	@	-inf	(sqrt.f64 (.f64 l (.f64 V (/.f64 1 A))))
1.0ms	V	@	0	(*.f64 V (/.f64 1 A))
1.0ms	l	@	0	(sqrt.f64 (.f64 l (.f64 V (/.f64 1 A))))
1.0ms	A	@	-inf	(*.f64 V (/.f64 1 A))

rewrite114.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
446×	`exp-prod_binary64`
383×	`pow-prod-down_binary64`
282×	`pow2_binary64`
246×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	227	32
2	2902	32

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 l (/.f64 V A))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 l (/.f64 V A)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 l (/.f64 V A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 l (/.f64 V A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 l (/.f64 V A))) (pow.f64 (.f64 l (/.f64 V A)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 l (/.f64 V A)) 1/6) (cbrt.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 l (/.f64 V A)) 1/4) (pow.f64 (.f64 l (/.f64 V A)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 V A)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 l V)) (pow.f64 A -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l (/.f64 V A)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 l (/.f64 V A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 l (/.f64 V A))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 l (/.f64 V A))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 l (/.f64 V A)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 l (/.f64 V A)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 l (/.f64 V A))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 l (/.f64 V A)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 l (/.f64 V A)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 l (/.f64 V A)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (.f64 l (/.f64 V A)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 l (/.f64 V A))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 l (/.f64 V A))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 l (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 l (/.f64 V A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 l V) A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 l V) 1) A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 l V) -1) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 l (/.f64 V A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 l (/.f64 V A))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 l (/.f64 V A))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 l (/.f64 V A)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 l (/.f64 V A)))) 2)) (cbrt.f64 (log.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 l (/.f64 V A))))) (sqrt.f64 (log.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 l (/.f64 V A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 l (/.f64 V A)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 l (/.f64 V A))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 l (/.f64 V A)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 l (/.f64 V A)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 l (/.f64 V A)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 l (/.f64 V A)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 l (/.f64 V A))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 l (/.f64 V A))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 l (/.f64 V A)))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c0 (pow.f64 (.f64 l (/.f64 V A)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))) 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(/.f64 c0 (pow.f64 (.f64 l (/.f64 V A)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 c0 c0)) (pow.f64 (.f64 l (/.f64 V A)) 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (.f64 l (/.f64 V A)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 c0 c0) (.f64 l (/.f64 V A))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 l (/.f64 V A))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (.f64 l (/.f64 V A)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 l (/.f64 V A))) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))) 2)) (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))))) (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 c0 c0) (.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (.f64 l (/.f64 V A)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 l (/.f64 V A))) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 V A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 V A))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 V A)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 V A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 V A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 V) 2) (/.f64 A (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 V) (/.f64 A (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 V) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 V (sqrt.f64 A)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 V 1) A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 V (pow.f64 (cbrt.f64 A) 2)) (cbrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 V) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 V -1) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V A) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 V A) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 V A) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 V A)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 V A)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 V 3) (pow.f64 A 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A V) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 V A))) 2)) (cbrt.f64 (log.f64 (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 V A)))) (sqrt.f64 (log.f64 (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 V A) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 V A) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 V 3) (pow.f64 A 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 V A)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 V A))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 V A))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 V A))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 V A)) 1) 1))))))

simplify36.0ms (0.3%)

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	11	492
1	17	492
2	20	492
3	23	492
4	24	492

Stop Event

1×

saturated

Counts

231 → 162

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)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)
(/.f64 V A)

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

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	9.3b	(sqrt.f64 (*.f64 l V))
	1.4b	(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 l V)))
	0.1b	(*.f64 (sqrt.f64 A) c0)
✓	0.1b	(*.f64 (sqrt.f64 A) c0)
✓	1.4b	(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 l V)))
✓	9.3b	(sqrt.f64 (*.f64 l V))

Compiler

Compiled 30 to 9 computations (70% saved)

series12.0ms (0.1%)

Counts

3 → 12

Calls

24 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
422×	`exp-prod_binary64`
369×	`pow-prod-down_binary64`
262×	`pow2_binary64`
220×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	204	26
2	2676	26

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 l V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (*.f64 c0 (pow.f64 (*.f64 l V) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) (pow.f64 (*.f64 l V) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)) (cbrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 l V))) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (pow.f64 (*.f64 l V) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)) (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (neg.f64 (sqrt.f64 A))) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) -1/2) (*.f64 (sqrt.f64 A) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) 1) (/.f64 c0 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 1) (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) 1) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) 1) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (cbrt.f64 (*.f64 l V))) (/.f64 c0 (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (cbrt.f64 (*.f64 l V))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l V))) (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (cbrt.f64 (*.f64 l V))) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (cbrt.f64 (*.f64 l V))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) 1/4)) (/.f64 c0 (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (pow.f64 (*.f64 l V) 1/4)) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) -1/4) (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (pow.f64 (*.f64 l V) 1/4)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (/.f64 c0 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 l)) (/.f64 (sqrt.f64 A) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A (*.f64 c0 c0))) (sqrt.f64 l)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 l)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 l V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3) (pow.f64 (*.f64 l V) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (neg.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3) (pow.f64 (*.f64 l V) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)) 1) 1))))))

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

simplify10.0ms (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	144
1	13	144
2	15	144

Stop Event

1×

saturated

Counts

136 → 125

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)

localize19.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	13.3b	(sqrt.f64 (/.f64 A V))
	0.9b	(.f64 c0 (.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
	0.2b	(*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))
✓	0.2b	(*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))
✓	0.9b	(.f64 c0 (.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
✓	13.3b	(sqrt.f64 (/.f64 A V))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series15.0ms (0.1%)

Counts

3 → 12

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	c0	@	0	(.f64 c0 (.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
1.0ms	V	@	-inf	(sqrt.f64 (/.f64 A V))
1.0ms	A	@	0	(sqrt.f64 (/.f64 A V))
1.0ms	A	@	-inf	(sqrt.f64 (/.f64 A V))
1.0ms	A	@	inf	(sqrt.f64 (/.f64 A V))

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
428×	`exp-prod_binary64`
389×	`pow-prod-down_binary64`
296×	`pow2_binary64`
231×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	232	33
2	2872	33

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 A V))
(.f64 c0 (.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))))
(*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))

Outputs

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

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

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

simplify11.0ms (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	144
1	13	144
2	15	144

Stop Event

1×

saturated

Counts

108 → 97

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)

eval135.0ms (1%)

Compiler: Compiled 8796 to 3159 computations (64.1% saved)

prune136.0ms (1%)

Pruning

30 alts after pruning (19 fresh and 11 done)

	Pruned	Kept	Total
New	650	12	662
Fresh	8	7	15
Picked	1	0	1
Done	0	11	11
Total	659	30	689

Error

0.0b

Counts

689 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	19.7b	(pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) -1)
	21.2b	(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)
✓	21.5b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
	50.5b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))))
✓	19.1b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	36.4b	(.f64 (sqrt.f64 A) (.f64 c0 (pow.f64 (*.f64 l V) -1/2)))
✓	19.4b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
✓	35.7b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
✓	36.3b	(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 l V)))
	25.5b	(.f64 c0 (.f64 (pow.f64 l -1/2) (pow.f64 (/.f64 V A) -1/2)))
	25.2b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 -1 V)) (sqrt.f64 (/.f64 (neg.f64 l) A))))
	19.4b	(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
	19.4b	(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
	19.1b	(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 1 V)))))
	26.5b	(.f64 c0 (pow.f64 (.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4)) 2))
✓	19.0b	(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
	25.5b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))))
	49.6b	(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
✓	19.0b	(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
✓	19.4b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
✓	21.2b	(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
	26.6b	(*.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l)))
	49.5b	(/.f64 c0 (*.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A))))
✓	21.2b	(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
	25.6b	(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
	34.5b	(.f64 c0 (.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))))
✓	39.1b	(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
	49.4b	(sqrt.f64 (/.f64 (.f64 A (.f64 c0 c0)) (*.f64 l V)))
	47.1b	(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) (/.f64 c0 (sqrt.f64 V)))
	26.3b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))

Compiler

Compiled 414 to 293 computations (29.2% saved)

regimes1.3s (8.9%)

Counts

62 → 3

Calls

Call 1

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

Outputs

(*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))))

(*.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l)))

(*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (/.f64 (pow.f64 V -1) l) 1/2)))

Calls

11 calls:

301.0ms	c0
173.0ms	l
109.0ms	(*.f64 V l)
109.0ms	V
109.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Results

Error	Segments	Branch
13.8b	9	`c0`
6.1b	2	`A`
6.5b	3	`V`
9.3b	4	`l`
9.4b	5	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(/.f64 A (*.f64 V l))`
9.9b	3	`(/.f64 A (*.f64 V l))`
4.9b	3	`(*.f64 V l)`
4.9b	3	`(*.f64 V l)`

Compiler

Compiled 718 to 319 computations (55.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.34634991225e-313	1.8970912260092676e-297
0.0ms	-2.4812552089133582e-300	-0.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes1.2s (8.5%)

Counts

58 → 4

Calls

Call 1

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

Outputs
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l)))
(.f64 c0 (.f64 (sqrt.f64 A) (pow.f64 (/.f64 (pow.f64 V -1) l) 1/2)))

Calls

11 calls:

269.0ms	c0
193.0ms	A
125.0ms	l
99.0ms	(*.f64 V l)
97.0ms	(*.f64 V l)

Results

Error	Segments	Branch
13.8b	9	`c0`
8.0b	5	`A`
8.1b	2	`V`
9.8b	4	`l`
9.4b	5	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(/.f64 A (*.f64 V l))`
9.9b	3	`(/.f64 A (*.f64 V l))`
4.9b	4	`(*.f64 V l)`
4.9b	4	`(*.f64 V l)`

Compiler

Compiled 667 to 300 computations (55% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.34634991225e-313	1.8970912260092676e-297
0.0ms	-2.4812552089133582e-300	-0.0
0.0ms	-inf	-7.345288685434828e+288

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes1.2s (8.4%)

Counts

55 → 4

Calls

Call 1

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

Outputs
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V)))))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))

Calls

11 calls:

257.0ms	c0
173.0ms	A
144.0ms	l
111.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
100.0ms	(*.f64 V l)

Results

Error	Segments	Branch
13.8b	9	`c0`
8.1b	5	`A`
8.1b	2	`V`
8.9b	5	`l`
9.4b	5	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(/.f64 A (*.f64 V l))`
9.9b	3	`(/.f64 A (*.f64 V l))`
5.2b	4	`(*.f64 V l)`
5.2b	4	`(*.f64 V l)`

Compiler

Compiled 630 to 279 computations (55.7% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	3.53e-321
0.0ms	-2.4812552089133582e-300	-0.0
0.0ms	-inf	-7.345288685434828e+288

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes897.0ms (6.4%)

Counts

44 → 4

Calls

Call 1

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

Outputs
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))

Calls

10 calls:

177.0ms	l
171.0ms	c0
101.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
82.0ms	A
80.0ms	V

Results

Error	Segments	Branch
13.9b	9	`c0`
9.3b	4	`A`
9.5b	3	`V`
8.9b	5	`l`
9.9b	5	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(/.f64 A (*.f64 V l))`
9.9b	3	`(/.f64 A (*.f64 V l))`
7.1b	4	`(*.f64 V l)`
7.1b	4	`(*.f64 V l)`

Compiler

Compiled 496 to 227 computations (54.2% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	3.53e-321
0.0ms	-3.4583209570031776e-207	-2.8723655636386055e-215
0.0ms	-8.427776748489817e+194	-2.2861121825355473e+184

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes588.0ms (4.2%)

Counts

34 → 4

Calls

Call 1

Inputs
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)
(.f64 c0 (pow.f64 (.f64 V (/.f64 l A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (.f64 A (.f64 c0 c0)) (*.f64 l V)))
(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
(sqrt.f64 (.f64 (/.f64 A (.f64 V l)) (*.f64 c0 c0)))
(.f64 c0 (/.f64 1 (sqrt.f64 (.f64 l (/.f64 V A)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 1 V)))))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(/.f64 c0 (*.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A))))
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 l V)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))
(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) -1)
(.f64 (sqrt.f64 A) (.f64 c0 (pow.f64 (*.f64 l V) -1/2)))

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

Calls

10 calls:

87.0ms	A
86.0ms	V
66.0ms	(/.f64 A (*.f64 V l))
58.0ms	l
53.0ms	(*.f64 V l)

Results

Error	Segments	Branch
17.7b	3	`c0`
9.5b	6	`A`
13.0b	5	`V`
10.1b	4	`l`
9.9b	5	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(/.f64 A (*.f64 V l))`
9.9b	3	`(/.f64 A (*.f64 V l))`
7.1b	4	`(*.f64 V l)`
7.1b	4	`(*.f64 V l)`

Compiler

Compiled 391 to 179 computations (54.2% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	3.53e-321
0.0ms	-2.8436171221428525e-122	-2.8676027494310295e-138
0.0ms	-8.427776748489817e+194	-2.2861121825355473e+184

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes690.0ms (4.9%)

Counts

29 → 4

Calls

Call 1

Inputs
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)
(.f64 c0 (pow.f64 (.f64 V (/.f64 l A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (.f64 A (.f64 c0 c0)) (*.f64 l V)))
(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
(sqrt.f64 (.f64 (/.f64 A (.f64 V l)) (*.f64 c0 c0)))
(.f64 c0 (/.f64 1 (sqrt.f64 (.f64 l (/.f64 V A)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 1 V)))))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(/.f64 c0 (*.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A))))
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))
(/.f64 (.f64 (sqrt.f64 A) c0) (sqrt.f64 (.f64 l V)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))
(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)))

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

Calls

10 calls:

303.0ms	V
79.0ms	A
52.0ms	l
44.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
43.0ms	(*.f64 V l)

Results

Error	Segments	Branch
17.7b	3	`c0`
9.5b	6	`A`
13.0b	5	`V`
10.1b	4	`l`
9.9b	5	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(/.f64 A (*.f64 V l))`
9.9b	3	`(/.f64 A (*.f64 V l))`
7.1b	4	`(*.f64 V l)`
7.1b	4	`(*.f64 V l)`

Compiler

Compiled 344 to 169 computations (50.9% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	3.53e-321
0.0ms	-2.8436171221428525e-122	-2.8676027494310295e-138
0.0ms	-8.427776748489817e+194	-2.2861121825355473e+184

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes400.0ms (2.8%)

Counts

23 → 5

Calls

Call 1

Inputs
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)
(.f64 c0 (pow.f64 (.f64 V (/.f64 l A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (.f64 A (.f64 c0 c0)) (*.f64 l V)))
(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
(sqrt.f64 (.f64 (/.f64 A (.f64 V l)) (*.f64 c0 c0)))
(.f64 c0 (/.f64 1 (sqrt.f64 (.f64 l (/.f64 V A)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 1 V)))))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(/.f64 c0 (*.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A))))
(/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))

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

Calls

10 calls:

60.0ms	c0
55.0ms	V
54.0ms	A
45.0ms	l
38.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Results

Error	Segments	Branch
17.9b	3	`c0`
14.0b	5	`A`
13.1b	5	`V`
12.3b	4	`l`
9.9b	5	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
9.9b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
9.9b	3	`(/.f64 A (*.f64 V l))`
9.9b	3	`(/.f64 A (*.f64 V l))`
12.0b	4	`(*.f64 V l)`
12.0b	4	`(*.f64 V l)`

Compiler

Compiled 290 to 152 computations (47.6% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.960558091035576e+293	+inf
0.0ms	0.0	1.0642e-319
0.0ms	-1.2400876693275141e-298	-4.983902548559934e-304
0.0ms	-inf	-2.832984368759816e+306

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes657.0ms (4.7%)

Counts

22 → 5

Calls

Call 1

Inputs
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)
(.f64 c0 (pow.f64 (.f64 V (/.f64 l A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (.f64 A (.f64 c0 c0)) (*.f64 l V)))
(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
(sqrt.f64 (.f64 (/.f64 A (.f64 V l)) (*.f64 c0 c0)))
(.f64 c0 (/.f64 1 (sqrt.f64 (.f64 l (/.f64 V A)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 1 V)))))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))
(/.f64 c0 (*.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A))))

Outputs
(/.f64 c0 (*.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A))))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)

Calls

10 calls:

117.0ms	(*.f64 V l)
91.0ms	(*.f64 V l)
88.0ms	A
88.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
69.0ms	(/.f64 A (*.f64 V l))

Results

Error	Segments	Branch
19.0b	1	`c0`
16.8b	5	`A`
15.7b	2	`V`
17.0b	2	`l`
14.0b	5	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
14.2b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
14.2b	3	`(/.f64 A (*.f64 V l))`
14.2b	3	`(/.f64 A (*.f64 V l))`
15.7b	4	`(*.f64 V l)`
15.7b	4	`(*.f64 V l)`

Compiler

Compiled 281 to 148 computations (47.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.960558091035576e+293	+inf
0.0ms	0.0	1.0642e-319
0.0ms	-5.843667656176651e-277	-3.963462013687545e-277
0.0ms	-inf	-2.832984368759816e+306

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes275.0ms (2%)

Counts

21 → 3

Calls

Call 1

Inputs
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)
(.f64 c0 (pow.f64 (.f64 V (/.f64 l A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (.f64 A (.f64 c0 c0)) (*.f64 l V)))
(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
(sqrt.f64 (.f64 (/.f64 A (.f64 V l)) (*.f64 c0 c0)))
(.f64 c0 (/.f64 1 (sqrt.f64 (.f64 l (/.f64 V A)))))
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 l (/.f64 1 V)))))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 l) (/.f64 A V))))
(sqrt.f64 (.f64 (/.f64 (/.f64 A V) l) (.f64 c0 c0)))
(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))))

Outputs
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(.f64 c0 (/.f64 1 (sqrt.f64 (.f64 l (/.f64 V A)))))

Calls

10 calls:

52.0ms	A
34.0ms	(*.f64 V l)
34.0ms	(*.f64 V l)
31.0ms	l
23.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Results

Error	Segments	Branch
19.0b	1	`c0`
16.8b	5	`A`
17.4b	2	`V`
17.0b	2	`l`
16.2b	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
15.0b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
15.0b	3	`(/.f64 A (*.f64 V l))`
15.0b	3	`(/.f64 A (*.f64 V l))`
15.9b	4	`(*.f64 V l)`
15.9b	4	`(*.f64 V l)`

Compiler

Compiled 272 to 144 computations (47.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.7755765981078975e+292	+inf
0.0ms	3.854e-321	3.57078307710743e-302

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes213.0ms (1.5%)

Counts

15 → 3

Calls

Call 1

Inputs
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)
(.f64 c0 (pow.f64 (.f64 V (/.f64 l A)) -1/2))
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2))
(sqrt.f64 (/.f64 (.f64 A (.f64 c0 c0)) (*.f64 l V)))
(/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A))))
(/.f64 c0 (sqrt.f64 (.f64 l (.f64 V (/.f64 1 A)))))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 1 V) (/.f64 l A))))
(sqrt.f64 (.f64 (/.f64 A (.f64 V l)) (*.f64 c0 c0)))

Outputs
(/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)

Calls

10 calls:

37.0ms	A
26.0ms	(*.f64 V l)
26.0ms	(*.f64 V l)
24.0ms	l
17.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Results

Error	Segments	Branch
19.0b	1	`c0`
16.8b	5	`A`
17.4b	2	`V`
17.0b	2	`l`
16.2b	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
15.0b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
15.0b	3	`(/.f64 A (*.f64 V l))`
15.0b	3	`(/.f64 A (*.f64 V l))`
15.9b	4	`(*.f64 V l)`
15.9b	4	`(*.f64 V l)`

Compiler

Compiled 212 to 117 computations (44.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.7755765981078975e+292	+inf
0.0ms	3.854e-321	3.57078307710743e-302

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes130.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

Inputs
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)
(.f64 c0 (pow.f64 (.f64 V (/.f64 l A)) -1/2))

Outputs
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))
(.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)

Calls

9 calls:

26.0ms	A
18.0ms	(*.f64 V l)
18.0ms	(*.f64 V l)
14.0ms	l
12.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Results

Error	Segments	Branch
19.0b	1	`c0`
16.8b	5	`A`
17.4b	2	`V`
17.0b	2	`l`
16.3b	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
15.0b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
15.0b	3	`(/.f64 A (*.f64 V l))`
15.9b	4	`(*.f64 V l)`
15.9b	4	`(*.f64 V l)`

Compiler

Compiled 135 to 82 computations (39.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.7755765981078975e+292	+inf
0.0ms	3.854e-321	3.57078307710743e-302

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes111.0ms (0.8%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

9 calls:

18.0ms	A
15.0ms	(*.f64 V l)
15.0ms	(*.f64 V l)
13.0ms	l
11.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Results

Error	Segments	Branch
19.0b	1	`c0`
17.8b	3	`A`
17.4b	2	`V`
17.0b	2	`l`
16.3b	3	`(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))`
15.0b	3	`(sqrt.f64 (/.f64 A (*.f64 V l)))`
15.0b	3	`(/.f64 A (*.f64 V l))`
15.9b	4	`(*.f64 V l)`
15.9b	4	`(*.f64 V l)`

Compiler

Compiled 117 to 73 computations (37.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.7755765981078975e+292	+inf
0.0ms	3.854e-321	3.57078307710743e-302

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes42.0ms (0.3%)

Accuracy

Total -9.4b remaining (-55.8%)

Threshold costs -9.4b (-55.8%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	A
10.0ms	c0
9.0ms	l
4.0ms	V

Results

Error	Segments	Branch
18.2b	3	`c0`
16.9b	5	`A`
19.4b	1	`V`
18.3b	2	`l`

Compiler

Compiled 48 to 32 computations (33.3% saved)

bsearch9.0ms (0.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
2.0ms	8.574489698335233e+274	1.7483146222384498e+277
2.0ms	7.0580088417203874e-127	2.045781136278172e-125
3.0ms	-3.490758128650867e-48	-3.124442780965604e-56
2.0ms	-1.9516183050794972e+148	-2.5759738705819075e+141

Compiler

Compiled 123 to 86 computations (30.1% saved)

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

21×	`*-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	145	1111
1	169	1111
2	178	1111
3	184	1111
4	187	1111
5	188	1111

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 V l) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 c0 (.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) (if (<=.f64 (.f64 V l) 40480450661/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (/.f64 (pow.f64 V -1) l) 1/2)))))
(if (<=.f64 (.f64 V l) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V))))) (if (<=.f64 (.f64 V l) 40480450661/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (/.f64 (pow.f64 V -1) l) 1/2))))))
(if (<=.f64 (.f64 V l) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V))))) (if (<=.f64 (.f64 V l) 0) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (if (<=.f64 (.f64 V l) 0) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))))))
(if (<=.f64 (.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -7442828536787015/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A)))) (if (<=.f64 (.f64 V l) 0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -7442828536787015/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A)))) (if (<=.f64 (.f64 V l) 0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (/.f64 c0 (/.f64 (sqrt.f64 (.f64 V l)) (sqrt.f64 A))))))
(if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))))))
(if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -1218164251425/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 0) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1/2) c0)))))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1/2) c0)))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 A -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 A -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 V A) l))) (if (<=.f64 A 3048582568667961/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 A 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 V A) l))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))

Outputs
(if (<=.f64 (.f64 V l) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 c0 (.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) (if (<=.f64 (.f64 V l) 40480450661/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (/.f64 (pow.f64 V -1) l) 1/2)))))
(if (<=.f64 (.f64 V l) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V))))) (if (<=.f64 (.f64 V l) 40480450661/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (/.f64 (pow.f64 V -1) l) 1/2))))))
(if (<=.f64 (.f64 V l) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 V (neg.f64 l))))) (if (<=.f64 (.f64 V l) 40480450661/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (/.f64 (pow.f64 V -1) l) 1/2))))))
(if (<=.f64 (.f64 V l) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 l (neg.f64 V))))) (if (<=.f64 (.f64 V l) 0) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (.f64 V l) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (.f64 V (neg.f64 l))))) (if (<=.f64 (.f64 V l) 0) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -5783580587434429/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (if (<=.f64 (.f64 V l) 0) (.f64 (pow.f64 (/.f64 V A) -1/2) (/.f64 c0 (sqrt.f64 l))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l)))))))
(if (<=.f64 (.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -7442828536787015/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A)))) (if (<=.f64 (.f64 V l) 0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))))
(if (<=.f64 (.f64 V l) -499999999999999988538882384714859598020732597094189431887223670286290898673927114447209430123954968903878300398056269985965808322842590849616633906975620536835002183524807772105054962541171572736) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 V l) -7442828536787015/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (/.f64 c0 (sqrt.f64 (.f64 (.f64 V l) (/.f64 1 A)))) (if (<=.f64 (.f64 V l) 0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (/.f64 c0 (/.f64 (sqrt.f64 (.f64 V l)) (sqrt.f64 A))))))
(if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 0) (/.f64 c0 (.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (/.f64 c0 (*.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A))))))))
(if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -1218164251425/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 0) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1/2) c0)))))
(if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -inf.0) (/.f64 c0 (.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) -1218164251425/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 0) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528) (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))) (.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))))))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A)))))))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1/2) c0)))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (/.f64 c0 (pow.f64 (/.f64 (/.f64 A l) V) -1/2)) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2))))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (.f64 (pow.f64 (.f64 l (/.f64 V A)) -1/2) c0)))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (.f64 c0 (pow.f64 (.f64 l (/.f64 V A)) -1/2))))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l)))))
(if (<=.f64 (/.f64 A (.f64 V l)) 253/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (.f64 V l)) 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984) (/.f64 c0 (sqrt.f64 (/.f64 (.f64 V l) A))) (/.f64 c0 (sqrt.f64 (*.f64 l (/.f64 V A))))))
(if (<=.f64 A -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 A -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 V A) l))) (if (<=.f64 A 3048582568667961/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 A 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792) (/.f64 c0 (sqrt.f64 (.f64 (/.f64 V A) l))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))))
(if (<=.f64 A -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 A -8424983333484575/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))) (if (<=.f64 A 3048582568667961/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 A 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792) (/.f64 c0 (sqrt.f64 (.f64 l (/.f64 V A)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))))
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))

Compiler

Compiled 788 to 382 computations (51.5% saved)

soundness0.0ms (0%)

end190.0ms (1.4%)

Compiler: Compiled 864 to 298 computations (65.5% saved)